determine whether two arrays are permutation of each other by using recursion - c

I have some difficulties in writing a code which determines whether two unsorted arrays are permutation of each other , by using recursion.
I know how to determine it by non-recursive code, using sorts - but I dont know how to do it by using recursion.
So far, I cant get any real idea...
int CheckPermutation(int arr1[], int arr2[], int size) {
if (size == 0)
return 1;
if (size == 1)
return (arr1[0] > arr2[0]);
}
that's what I have tried, I find it difficult to continue from that point

Here is an implementation for comparing 2 unsorted arrays without modifying them that uses recursion:
#include <stdio.h>
// count occurrences of value in an array using recursion
int rcount(int value, const int *a, int size) {
return size == 0 ? 0 : (value == *a) + rcount(value, a + 1, size - 1);
}
// check if all entries in a have the same number of occurrences in a and b
int check_perm(const int *a, const int *b, int size) {
for (int i = 0; i < size; i++) {
if (rcount(a[i], a, size) != rcount(a[i], b, size))
return 0;
}
return 1;
}
int main(void) {
int a[] = { 1, 2, 3, 3, 4, 4, 4, 5, 6, };
int b[] = { 1, 3, 2, 4, 5, 4, 4, 6, 3, };
int c[] = { 1, 3, 2, 4, 5, 4, 4, 6, 6, };
if (check_perm(a, b, sizeof(a) / sizeof(*a)))
printf("arrays a and b match\n");
if (!check_perm(a, c, sizeof(a) / sizeof(*a)))
printf("arrays a and c do not match\n");
if (!check_perm(b, c, sizeof(b) / sizeof(*b)))
printf("arrays b and c do not match\n");
return 0;
}
EDIT:
Here is a solution with a single recursive function. Both arrays are potentially modified. If indeed check_perm() returns non zero, both arrays will have been sorted:
int check_perm(const int *a, const int *b, int size) {
if (size > 1) {
for (int i = 1; i < size; i++) {
if (a[0] > a[i]) {
int temp = a[0];
a[0] = a[i];
a[i] = temp;
}
if (b[0] > b[i]) {
int temp = b[0];
b[0] = b[i];
b[i] = temp;
}
}
return (a[0] == b[0]) && check_perm(a + 1, b + 1, size - 1);
}
return 1;
}

Related

How to solve this C bitwise university problem?

Problem
Given a sequence of N integer values (N > 1). Using at most one conditional operator(or conditional operator), the program must determine whether its is true that sequence is increasing. Loops on a program can only be used to enumerate elements of a sequence.
Example
int arr[] = {10, 9, 8, 7, 6, 5}; // Decreasing sequence
int arr2[] = {1, 2, 3, 4, 5, 6}; // Increasing sequence
My solution
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
/*
Returns num1 if num1 < num2 otherwise num2
*/
static int CompareNums(int num1, int num2)
{
return (int)(((num1 + num2) - sqrt((num1 - num2) * (num1 - num2))) / 2);
}
static _Bool IsIncreasing(int arr[], size_t N)
{
int min = arr[0];
int res = 0;
for (size_t i = 0; i < N - 1; i++)
{
min = CompareNums(arr[i + 1], min);
/*If min equals to current processed num => it is decreasing sequence*/
res = min ^ arr[i + 1];
}
return res;
}
int main(void)
{
int arr[] = {10, 9, 8, 7, 6, 5};
int arr2[] = {1, 2, 3, 4, 5, 6};
int res = IsIncreasing(arr2, 6);
if (res == 0)
{
printf("Decreasing\n");
}
else
{
printf("Increasing\n");
}
return 0;
}
It has a problem, it's work fine with sequence from example, but doesn't work with sequence like this
//It is a complex sequence, but idk how to make my code detect this sequences.
int arr[] = {10, 11, 6, 12, 13}
Restrictions
//You can't use if inside for loop
for(int i = 0; i < N; i++)
{
//can't do this
if(bool)
{
}
//and this also
int a = a > b ? a : b
}
//And also this
while(a > b)
{
}
You need to calculate is it increasing sequence or not inside function than check for it for display right string
static _Bool IsIncreasing(int arr[], size_t N)
{
}
int main(void)
{
int res = IsIncreasing(arr, N);
if(res)
{
printf("Increasing");
}
else
{
printf("Decreasing");
}
}
So, I'm don't know how to write clean function which will calculate increasing/decreasing sequences, including errors sequences. I wan't any support or ideas or maybe ready solution how to do this.

Optimizing code to find common elements in 2 arrays of different sizes

This function f is to find common elements in an array and return result array and i am using 4 four loops to accomplish this task which i feel is no the best use of the loops,
Another problem is, how can i determine the size of the returned array so that my loop is within bounds
here is the code
#include <stdio.h>
#include <stdlib.h>
int *f(int first[], int second[], int size_first, int size_second);
int main(void) {
int arr1[]={1, 8, 3, 2, 6};
int arr2[]= {2, 6, 1};
int size1 = sizeof(arr1)/sizeof(arr1[0]);
int size2 = sizeof(arr2)/sizeof(arr2[0]);
int *intersection = f(arr1, arr2, size1, size2);
for(int i=0;i<3; i++){
printf("%d ", intersection[i]);
}
return 0;
}
// function to find common elements in 2 arrays
int *f(int first[], int second[], int size_first, int size_second){
int k=0, count=0;
//loop through the array to find the number common elements and store in count for dynamic memory allocation in future
for(int i=0;i<size_first;i++){
for(int j=0;j<size_second;j++){
if(first[i]==second[j]){
count ++;
}
}
}
// allocate memory for the common elements by making use of count
int * common_elements = (int*)malloc(count*sizeof(int));
// store the common elements in the new memory location
for(int i=0;i<size_first;i++){
for(int j=0;j<size_second;j++){
if(first[i]==second[j]){
common_elements[k]=first[i];
k++;
}
}
}
return common_elements;
free(common_elements);
}
If you are allowed to waste some memory, note that the intersection cannot have cardinality larger than the number of elements in the smaller set. Therefore, you can allocate more memory than you might need and avoid having to count first and allocate later.
Or, you can realloc as you go.
In general, you need a good data structure for checking set membership more quickly than scanning an entire array although for small sizes which fit in various caches, the linear scan will not perform too shabbily either.
For larger sets, however, you'll want to load the larger of the sets into an AVL tree or Scapegoat tree.
For really large data sets, you'll need to look into Bloom filters and related data structures depending on the use case.
I am including below the most naive improvement in your code which still has the nested loop and wastes memory up to the size of the smaller set to avoid counting common elements first.
#include <stdlib.h>
#include <stdint.h>
#include <stdio.h>
// TODO: What about duplicates in smaller set?
int *
int_set_intersection(
const int *first,
const int *second,
const size_t size_first,
const size_t size_second,
size_t *n
)
{
size_t K = 0; // number of common elements
const int is_first_smaller = (size_first < size_second);
// Done this way so I can declare variables as consts
const int *set_smaller = is_first_smaller ? first : second;
const int *set_larger = is_first_smaller ? second : first;
const size_t size_smaller = is_first_smaller ? size_first : size_second;
const size_t size_larger = is_first_smaller ? size_second : size_first;
int *common = malloc(size_smaller * sizeof(*common));
if (!common) {
fprintf(stderr, "Failed to allocate memory for %z ints\n", size_smaller);
perror("Cannot allocate memory for common elements");
exit(EXIT_FAILURE);
}
for (size_t i = 0; i < size_smaller; ++i) {
for (size_t j = 0; j < size_larger; ++j) {
if (set_smaller[i] == set_larger[j]) {
common[K] = set_smaller[i];
++K;
break;
}
}
}
*n = K;
return common;
}
void
int_set_print(const int *set, size_t n, FILE *f)
{
FILE *out = f ? f : stdout;
size_t i = 0;
fputs("{ ", out);
for (i = 0; i < n - 1; ++i) {
fprintf(out, "%d, ", set[i]);
}
fprintf(out, "%d }\n", set[i]);
}
int
main(void) {
int arr1[] = {1, 8, 3, 2, 6};
int arr2[] = {2, 5, 1};
size_t n = 0;
const int *intersection = int_set_intersection(
arr1,
arr2,
sizeof(arr1)/sizeof(arr1[0]),
sizeof(arr2)/sizeof(arr2[0]),
&n
);
int_set_print(intersection, n, NULL);
free(intersection); // not really needed, but good hygiene
return 0;
}
For larger arrays, one option is to sort the contents first to make it easier to check for common elements, as shown in the code below. If the original array contents cannot be changed, first copy them into dynamically allocated memory. Dynamically allocated memory is also needed to hold the list of common elements, but that can use the same storage as one of the copies.
OP's original function returns a pointer to dynamically allocated memory containing the array of common elements, but does not indicate the length of the array. I added a parameter to return the length.
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
int *f(int first[], int second[], int size_first, int size_second, int *size_common);
int main(void) {
int arr1[]={1, 8, 3, 2, 6};
int arr2[]= {2, 6, 1};
int size1 = sizeof(arr1)/sizeof(arr1[0]);
int size2 = sizeof(arr2)/sizeof(arr2[0]);
int size_common;
int *intersection = f(arr1, arr2, size1, size2, &size_common);
for(int i=0;i<size_common; i++){
printf("%d ", intersection[i]);
}
free(intersection);
return 0;
}
static int cmp_int(const void *ap, const void *bp) {
int a = *(const int *)ap;
int b = *(const int *)bp;
return (a > b) - (a < b);
}
// function to find common elements in 2 arrays
int *f(int first[], int second[], int size_first, int size_second,
int *size_common) {
int *copy1;
int *copy2;
int idx1;
int idx2;
int count;
// allocate memory local copies of the arrays
copy1 = malloc(size_first * sizeof (int));
copy2 = malloc(size_second * sizeof (int));
if (!copy1 || !copy2) {
// allocation error
free(copy1);
free(copy2);
*size_common = -1; // use -1 to report error
return NULL;
}
// copy the arrays
memcpy(copy1, first, size_first * sizeof (int));
memcpy(copy2, second, size_second * sizeof (int));
// sort the copies in ascending order
qsort(copy1, size_first, sizeof (int), cmp_int);
qsort(copy2, size_second, sizeof (int), cmp_int);
// find common elements
idx1 = 0;
idx2 = 0;
count = 0;
while (idx1 < size_first && idx2 < size_second) {
if (copy1[idx1] < copy2[idx2]) {
idx1++;
} else if (copy1[idx1] > copy2[idx2]) {
idx2++;
} else {
// common element found!
// use copy1[] to store common elements
copy1[count] = copy1[idx1];
count++;
idx1++;
idx2++;
}
}
// common elements are in copy1[].
// finished with copy2, so free it.
free(copy2);
if (count == 0) {
// no common elements
free(copy1); // free the memory
copy1 = NULL; // and make the function return NULL
} else {
// try to reduce memory for common elements
copy2 = realloc(copy1, count * sizeof (int));
if (copy2) {
// reallocation successful
copy1 = copy2;
} // else, never mind, copy1 is still valid
}
// return the common elements
*size_common = count;
return copy1;
}
If your arrays are of comparable elements (you use integers, which are comparable), the best way in my opinion is to sort both arrays and traverse both in parallel, looking at both sides and comparing the elements at both sides. If there's a lowest element, advance its pointer, leaving the other waiting.... if there's a match (they are equal), you can mark it (more on this later) and advance both pointers, until you reach the end in one array (the sortest). You will get the marks on the matching positions, but if you reorder the array, exchanging the found element with the first of the yet, unmatched elements, you will have all matching elements in the first positions of both arrays, letting you to return only the number of matches from the function and the matches themselves in the first positions of both arrays.
The complexity of this algorithm should be O(n*log(n)) (because of the quicksorts) if you use quicksort, plus O(n) (which doesn't affect the final O) for the matching, so O(n*log(n)) should be the big O complexity, as a general case. Below is a sample code, with a run:
comp.c
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#define N(arr) (sizeof(arr)/sizeof((arr)[0]))
void swap(int *ref_a, int *ref_b)
{
if (ref_a == ref_b)
return; /* nothing to do. */
int temp = *ref_a;
*ref_a = *ref_b;
*ref_b = temp;
}
int int_cmp(const void *_a, const void *_b)
{
const int *a = _a, *b = _b;
return *a - *b;
}
void print(int v[], int v_sz, const char *fmt, ...)
{
va_list p;
va_start(p, fmt);
vprintf(fmt, p);
va_end(p);
char *sep = "[";
for (int i = 0; i < v_sz; i++) {
printf("%s%d", sep, v[i]);
sep = ", ";
}
printf("]\n");
}
int find_matches(int a[], int b[], int a_sz, int b_sz)
{
print(a, a_sz, "a(unsorted)");
print(b, b_sz, "b(unsorted)");
qsort(a, a_sz, sizeof a[0], int_cmp);
qsort(b, b_sz, sizeof b[0], int_cmp);
print(a, a_sz, "a(sorted)");
print(b, b_sz, "b(sorted)");
int i = 0;
for (int i_a = 0, i_b = 0; i_a < a_sz && i_b < b_sz;) {
if (a[i_a] < b[i_b]) {
i_a++;
continue;
} else if (a[i_a] > b[i_b]) {
i_b++;
continue;
}
/* a[i_a] == b[i_b] */
swap(&a[i_a], &a[i]);
swap(&b[i_b], &b[i]);
print(a, a_sz, "after #%d, a:", i);
print(b, b_sz, "after #%d, b:", i);
i_a++; i_b++; i++;
}
return i;
}
int main()
{
int arr1[] = {1, 8, 3, 2, 6, 7};
int arr2[] = {2, 6, 1, 7, 4, 1, 9, 6};
int size1 = N(arr1);
int size2 = N(arr2);
int match = find_matches(arr1, arr2, size1, size2);
for (int i = 0; i < match; i++) {
printf("Match #%d: %d\n", i, arr1[i]);
}
}
It will produce:
$ comp
a(unsorted)[1, 8, 3, 2, 6, 7]
b(unsorted)[2, 6, 1, 7, 4, 1, 9, 6]
a(sorted)[1, 2, 3, 6, 7, 8]
b(sorted)[1, 1, 2, 4, 6, 6, 7, 9]
after #0, a:[1, 2, 3, 6, 7, 8]
after #0, b:[1, 1, 2, 4, 6, 6, 7, 9]
after #1, a:[1, 2, 3, 6, 7, 8]
after #1, b:[1, 2, 1, 4, 6, 6, 7, 9]
after #2, a:[1, 2, 6, 3, 7, 8]
after #2, b:[1, 2, 6, 4, 1, 6, 7, 9]
after #3, a:[1, 2, 6, 7, 3, 8]
after #3, b:[1, 2, 6, 7, 1, 6, 4, 9]
Match #0: 1
Match #1: 2
Match #2: 6
Match #3: 7
$ _
A good interface is to switch in both algorithms the matched elements with the first of the non-yet-matched elements in both arrays, so in this way you can return an integer (the one you use to know the start of the non-yet-matched elements) that tells you the number of matched elements, and you will get them from any of the two arrays.
If the elements are not comparable, and they can be just be compared for equity, then you have to compare each element with any other for a match, take them off from the arrays (this can be done swapping them with the first of the not yet matched elemnts, and advance the pointers), and start again with the reduced versions of them. Some way of doing this is, when you find a match, to exchange them with the first, second, third elements of each array, and use a variation of the above algorithm (you reorder as you match) In this case you compare at first time n*m (but not all), when you get a match, (n-1)*(m-1), ... and so until the last comparition in which you fail all comparitions to (m-k)*(n-k). This is, in the average, m*n/2 + (m-1)*(n-1)/2 +...+ (m-k)*(n-k). something in the range of m(m-1)*n(n-1)/k^2, which is O(m^2*n^2):
comp2.c
#include <stdarg.h>
#include <stdio.h>
#include <stdlib.h>
#define N(arr) (sizeof(arr)/sizeof((arr)[0]))
void swap(int *ref_a, int *ref_b)
{
if (ref_a == ref_b)
return; /* nothing to do. */
int temp = *ref_a;
*ref_a = *ref_b;
*ref_b = temp;
}
int int_cmp(const void *_a, const void *_b)
{
const int *a = _a, *b = _b;
return *a - *b;
}
void print(int v[], int v_sz, const char *fmt, ...)
{
va_list p;
va_start(p, fmt);
vprintf(fmt, p);
va_end(p);
char *sep = "[";
for (int i = 0; i < v_sz; i++) {
printf("%s%d", sep, v[i]);
sep = ", ";
}
printf("]\n");
}
int find_matches(int a[], int b[], int a_sz, int b_sz)
{
print(a, a_sz, "a(unsorted)");
print(b, b_sz, "b(unsorted)");
int i = 0;
loop:
for (int i_a = 0; i_a + i < a_sz; i_a++) {
for (int i_b = 0; i_b + i < b_sz; i_b++) {
/* we can only compare for equality */
if (a[i + i_a] == b[i + i_b]) {
swap(&a[i + i_a], &a[i]);
swap(&b[i + i_b], &b[i]);
i++;
goto loop;
}
}
}
print(a, a_sz, "a(final)");
print(b, b_sz, "b(final)");
return i;
}
int main()
{
int arr1[] = {1, 8, 3, 2, 6, 7};
int arr2[] = {2, 6, 1, 7, 4, 1, 9, 6};
int size1 = N(arr1);
int size2 = N(arr2);
int match = find_matches(arr1, arr2, size1, size2);
for (int i = 0; i < match; i++) {
printf("Match #%d: %d\n", i, arr1[i]);
}
}
which produces, when running, the following output:
$ comp2
a(unsorted)[1, 8, 3, 2, 6, 7]
b(unsorted)[2, 6, 1, 7, 4, 1, 9, 6]
a(final)[1, 2, 6, 7, 3, 8]
b(final)[1, 2, 6, 7, 4, 1, 9, 6]
Match #0: 1
Match #1: 2
Match #2: 6
Match #3: 7
$ _
You can reorder the values, there's no difference, in this case you had a two level for loop, mixed with a third level go back to the beginning and start again loop. The loop is warranted to finish, as when you go back to the top, you have increased i, which means the nested for loops will be shorter each time. We can rewrite the find_matches routine in this case by adjusting the array start points, in this manner:
comp3.c
/* ... as before */
int find_matches(int a[], int b[], int a_sz, int b_sz)
{
print(a, a_sz, "a(unsorted)");
print(b, b_sz, "b(unsorted)");
int i = 0;
loop:
for (int i_a = 0; i_a < a_sz; i_a++) {
for (int i_b = 0; i_b < b_sz; i_b++) {
/* we can only compare for equality */
if (a[i_a] == b[i_b]) {
swap(&a[i_a], &a[0]);
swap(&b[i_b], &b[0]);
i++;
print(a++, a_sz--, "a(after match)");
print(b++, b_sz--, "b(after match)");
goto loop;
}
}
}
print(a, a_sz, "a(final)");
print(b, b_sz, "b(final)");
return i;
}
/* ... as before */
that will produce this result (I changed the initial sort order to see how it affects the final result):
$ comp3
a(unsorted): [7, 8, 2, 3, 6, 1]
b(unsorted): [2, 6, 1, 7, 4, 1, 9, 6]
a(after match): [7, 8, 2, 3, 6, 1]
b(after match): [7, 6, 1, 2, 4, 1, 9, 6]
a(after match): [2, 8, 3, 6, 1]
b(after match): [2, 1, 6, 4, 1, 9, 6]
a(after match): [6, 3, 8, 1]
b(after match): [6, 1, 4, 1, 9, 6]
a(after match): [1, 8, 3]
b(after match): [1, 4, 1, 9, 6]
a(final): [8, 3]
b(final): [4, 1, 9, 6]
Match #0: 7
Match #1: 2
Match #2: 6
Match #3: 1
$ _

recursive find number in between in C

I want to find the number within a range in an array and must be in a recursive way. The function variables couldn't be modified.
Let's say in the range of 2 and 3
The input is : int a[] = {4, 1, 3, 1, 3, 2};
and the output will be = {3,3,2} , 3 found
Not sure how to code the recursive function in this case. The below I have tried not working.
int within(int a[], int N, int lower, int upper, int result[])
{
if(N == 1 && N <= upper && N>= lower)
return a[0];
return within(&a[1], N-1, lower, upper, result);
}
int main()
{
int a[] = {4, 1, 3, 1, 3, 2};
int result[6] = {0};
int i, nResult;
nResult = within(a, 6, 2, 3, result);
printf("%d data passed the bounds\n", nResult);
for (i = 0; i < nResult; i++){
printf("%d ", result[i]);
}
printf("\n");
return 0;
}
I want to find the number within a range in an array
Let's say in the range of 2 and 3
Normally a for loop or similar would be so much easier here
If it has to be recursive....
// need to have another number - r - number in range
// r starts at zero
//
// normally lower case for variable and capitals for things you #define
// N starts at the number of elements of a less one
//
int within(int a[], int N, int lower, int upper, int r, int result[])
{
if(a[0] <= upper && a[0]>= lower) {
result[r]= a[0];
r++;
}
if(N==0) {
return r;
} else {
r = within(&a[1], N-1, lower, upper, r, result);
return r;
}
}
the function will give a return value of the number of values found within the range.
The code above is recursive, but so much more complicated and fragile than a simple loop... such as the fragment below
for (i=0;i<N;i++) {
if(a[i] <= upper && a[i]>= lower) {
result[r]= a[i];
r++;
}
}
If it has to be recursive wihtout r...
// need to have another number - result[0] - number in range
// result[0] starts at zero
//
// normally lower case for variable and capitals for things you #define
// N starts at the number of elements of a less one
//
int within(int a[], int N, int lower, int upper, int result[])
{
if(a[0] <= upper && a[0]>= lower) {
result[0]++;
result[result[0]]= a[0];
}
if(N==0) {
return result[0];
} else {
result[0] = within(&a[1], N-1, lower, upper, result);
return result[0];
}
}
now result conatins
{number in range, first number in range, second number in range....}
Something like this. If you want to implement a recursive function, try to do it in the way that the recursive call happens at the end.
#include <stdio.h>
int find_in_range(int* out, int const *in, int length, int from, int to)
{
if (length == 0)
{
return 0;
}
int addon;
if (*in >= from && *in <= to)
{
*out = *in;
++out;
addon = 1;
}
else
{
addon = 0;
}
return find_in_range(out, in + 1, length - 1, from, to) + addon;
}
#define N 6
int main()
{
int in[N] = {4, 1, 3, 1, 3, 2};
int out[N] = {0};
int num_found = find_in_range(out, in, N, 2, 3);
for (int i = 0; i < num_found; ++i)
{
printf("%d ", out[i]);
}
printf("\n");
return 0;
}
You can modify the following code as per your requirements. This is just a proof of concept code:
#include <stdio.h>
#include <stdlib.h>
static int result[4];
static int ctr1 = 0;
static int ctr2 = 0;
void recFind(int* arr, int* key){
if(ctr2 == 8)
return;
if(*arr >= key[0] && *arr <= key[1])
result[ctr1++] = *arr;
arr++;
ctr2++;
recFind(arr, key);
}
int main(){
int arr[] = {1,3,3,6,4,6,7,8};
int key[] = {1,4};
recFind(arr, key);
printf(" { ");
for(int i = 0; i < 4; i++){
printf("%d ", result[i]);
}
printf("}\n");
}
As it follows from the description of the assignment the function should provide two values: the number of elements that satisfy the condition and an array that contains the elements themselves.
It is evident that the array should be allocated dynamically. And it is logically consistent when the function itself returns the number of elements while the pointer to the generated array is passed by reference as an argument.
The recursive function can look the following way
#include <stdio.h>
#include <stdlib.h>
size_t get_range( const int a[], size_t n, int lower, int upper, int **out )
{
size_t m;
if ( n )
{
m = get_range( a, n - 1, lower, upper, out );
if ( lower <= a[n-1] && a[n-1] <= upper )
{
int *tmp = realloc( *out, ( m + 1 ) * sizeof( int ) );
if ( tmp )
{
tmp[m] = a[n-1];
*out = tmp;
++m;
}
}
}
else
{
*out = NULL;
m = 0;
}
return m;
}
int main(void)
{
int a[] = { 1, 2, 3, 4, 5, 4, 3, 2, 1 };
const size_t N = sizeof( a ) / sizeof( *a );
int lower = 2, high = 3;
int *out;
size_t n = get_range( a, N, lower, high, &out );
for ( size_t i = 0; i < n; i++ )
{
printf( "%d ", out[i] );
}
putchar( '\n' );
free( out );
return 0;
}
The program output is
2 3 3 2
Below codes will work for you in recursive way. If you don't want to print the numbers just comment out printf statement inside function printfRange. Hope you can understand the logic :-
int within(int *a, int rngH, int rngL, int length)
{
int len = length;
static int i = 0;
static int found = 0;
if(len <=0 )
{
return i;
}
if (*a == rngH)
{
printf("%d,",*a);
i++;
found = 1;
within(++a,rngH, rngL,--len);
}
else if(*a == rngL && found > 0)
{
printf("%d,",*a);
i++;
within(++a,rngH, rngL,--len);
}
else
{
within(++a,rngH, rngL,--len);
}
return i;
}
int main() {
int a[] = {4, 1, 3, 1, 3, 2};
int total = within(a,3,2,6);
printf("\n");
printf("Total :%d\n",total);
return 0;
}

Find matching consecutive integers in array

Given two arrays containing integers, figure out whether or not three consecutive integers are present in both arrays.
For example: A = [1, 4, 5, 7, 2] and B = [3, 1, 4, 5, 9] will result in "true" / 1 because [1, 4, 5] is present in both arrays.
My solution to this task is present below, but I feel like there must be a more optimized solution than this.
int consecutiveInts(int *a, int sizeA, int *b, int sizeB){
int i, j;
// Iterate over every integer in array b for every integer in array a.
for (i = 0 ; i < sizeA - 2 ; i++){
for (j = 0 ; j < sizeB - 2 ; j++){
if (a[i] == b[j] && a[i + 1] == b[j + 1] && a[i + 2] == b[j + 2])
return 1;
}
}
return 0;
}
For small arrays, OP approach is OK. For array lengths m,n it has O(m*n) run time.
An alternate makes 2 value arrays, sorts them and then looks for a common element. It has O(m*log2(m) + n*log2(n)) run time. Certainly faster with large arrays than OP's code.
typedef struct {
int i[3];
} int3;
void Init3(int3 *i3, const int *i, size_t n) {
while (n--) {
i3[n].i[0] = i[n];
i3[n].i[1] = i[n + 1];
i3[n].i[2] = i[n + 2];
}
}
int fcmp(const void *a, const void *b) {
return memcmp(a, b, sizeof (int3));
}
bool Pattern3(const int *a, size_t size_a, const int *b, size_t size_b) {
if (size_a < 3 || size_b < 3) return false;
int3 a3[size_a - 2];
Init3(a3, a, size_a - 2);
qsort(a3, size_a - 2, sizeof *a3, fcmp);
int3 b3[size_b - 2];
Init3(b3, b, size_b - 2);
qsort(b3, size_b - 2, sizeof *b3, fcmp);
while (size_a && size_b) {
int cmp = fcmp(&a[size_a - 1], &b[size_b - 1]);
if (cmp == 0) return true;
if (cmp > 0) size_a--;
else size_b--;
}
return false;
}
int main() {
int A[] = { 1, 4, 5, 7, 2 };
int B[] = { 3, 1, 4, 5, 9 };
printf("%d\n", Pattern3(A, sizeof A / sizeof *A, B, sizeof B / sizeof *B));
}
An alternative would use a bsearch() rather than form the 2nd int3 b3[]/qsort().
I think I cannot be wrong by sayin that declaring i and j outside of the loop is useless and not optimized.
Something like :
for (unsigned i = 0; i < sizeA - 2; i++) // i will only exist inside the loop
Would be a little better.
I use unsigned type because it is a habit I have taken when using an iterating variable. I think this is a matter which, if you are interested and not already informed, you could learn from by reading this topic.
Not sure it optimizes running speed, but I notice that in case there are repeated numbers you don't need to check them over and over again.
For example three sequential elements in the first array are all 1. After checking a[i] and seeing it's a mismatch you can skip directly to a[i + 3] without comparing a[i + 1] or a[i + 2] (they are also a mismatch).
The management of this condition, particularly if it's a short sequence of repeats, may not improve running time. You have to measure.
With code changes that do not affect the order of complexity, any candidate improvements need profiling (tests that measure the performance) to verify.
The following is still a O(n*m), yet with reduced coefficient as it can step through b[] faster if a[] has repeated values that also exist in b[]. This speeds the inner b[] loop where the majority of time is consumed.
Look at the a[] pattern for distinct values to so j may be advanced faster.
Example:
#define x 0
bool Pattern3(const int *a, size_t size_a, const int *b, size_t size_b) {
static const unsigned char deltas[2][2][2][2] = { //
// What type of pattern is a[0], a[1], a[2]?
{ { { 1, 1 }, // X Y Z
{ 1, 1 } }, // X Y Y
{ { 1, 2 }, // X Y X
{ x, x } } }, // not possible
{ { { 2, 1 }, // X X Y
{ x, x } }, // not possible
{ { x, x }, // not possible
{ 2, 3 } } } }; // X X X
for (unsigned i = 0; i + 2 < size_a; i++) {
const unsigned char *delta23 = deltas[a[0] == a[1]][a[0] == a[2]][a[1] == a[2]];
for (unsigned j = 0; j + 2 < size_b;) {
if (a[0] != b[j]) {
j++;
} else if (a[0 + 1] != b[j + 1]) {
j += delta23[0];
} else if (a[0 + 2] != b[j + 2]) {
j += delta23[1];
} else {
return true;
}
}
a++;
}
return false;
}
Other minor changes which may help.
In the above, swap a,b when size_a > size_b.
Use const as lesser compilers can optimized on that.
// int consecutiveInts(int *a, int sizeA, int *b, int sizeB){
int consecutiveInts(const int *a, int sizeA, const int *b, int sizeB){
Iterate from 2. Adjust indexing accordingly.
for (i = 2 ; i < sizeA ; i++){
...
try using the following loop
for(int i=0;i<A.length;i++)
{
for(int j=0;j<A.length;j++)
{
if(A[i]==B[j])
{
count=count+1; //It checks how many times equal elements have been found
//ensure to declare and initialize int count=0;
}
}
}
if(count>=3)
System.out.println("true");

compare arrays integer values with shifted values

I want create function which compares two arrays so that if they have the same values in a certain order (which may be maybe shifted) returns true.
For example
int arr1[] = {1,2,3,4,5}
int arr2[] = {3,4,5,1,2}
are the same, or true
while
int arr1[] = {1,2,3,4,5}
int arr2[] = {3,4,5,2,1}
are not same, and so false.
Any ideas?
Here you are
#include <stdio.h>
int is_equivalent(const int a[], const int b[], size_t n)
{
int success = 0;
for ( size_t m = 0; !success && m < n; )
{
// Try to find in the array a the first element of the array b
// If there is no such an element then the arrays are different.
// Otherwise compare elements of the arrays starting from the
// found element in a and the first element in b
while (m < n && a[m] != b[0]) ++m;
if (m != n)
{
size_t i = 1;
size_t j = ++m % n;
while (i < n && b[i] == a[j])
{
++i; ++j;
j %= n;
}
success = i == n;
}
}
return success;
}
int main( void )
{
{
int a[] = { 1, 2, 3, 4, 5 };
int b[] = { 3, 4, 5, 1, 2 };
printf("The arrays are equivalent: %d\n",
is_equivalent(a, b, sizeof(a) / sizeof(*a)));
}
{
int a[] = { 1, 2, 3, 4, 5 };
int b[] = { 3, 4, 5, 2, 1 };
printf("The arrays are equivalent: %d\n",
is_equivalent(a, b, sizeof(a) / sizeof(*a)));
}
return 0;
}
The program output is
The arrays are equivalent: 1
The arrays are equivalent: 0
try this
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <stdbool.h>
bool check(size_t size, int arr1[], int arr2[]){
int *temp = malloc(size * 2 * sizeof *temp);
memcpy(temp, arr1, size * sizeof *temp);
memcpy(temp+size, arr1, size * sizeof *temp);//[1,2,3] --> [1,2,3,1,2,3]
size_t i;
for(i = 0; i < size; ++i)
if(memcmp(temp+i, arr2, size * sizeof *temp) == 0)
break;
free(temp);
return i != size;
}
#define TEST(size, a1, a2) puts(check(size, a1, a2) ? "same" : "not same")
int main(void) {
int arr1[] = {1,2,3,4,5};
int arr2[] = {3,4,5,1,2};
int arr3[] = {3,4,5,2,1};
int arr4[] = {1, 0, 1, 1, 0};
int arr5[] = {1, 0, 1, 0, 1};
size_t size = sizeof(arr1)/sizeof(*arr1);
TEST(size, arr1, arr2);
TEST(size, arr1, arr3);
TEST(size, arr4, arr5);
}
Well, if the arrays are just rotated versions of each other, they must be of equal length and there must exist at least one offset, such that rotate(arr1, offset) == arr2.
Thus we know that concat(arr2, arr2) must be equivalent to rotate(concat(arr1, arr1), offset) and thus must contain arr1 without rotation at position offset.
And there we are with the classical substring-matching problem. There won't be any better solution to this problem than the algorithms to solve the former simply because they are equivalent.
A pretty simple solution to this problem would be elimination of probable offsets:
//generate a list of offsets from the first element in arr1
list offsets = indicesOf(arr1[0], arr2)
int i = 0
while !offsets.empty && i < length(arr1):
//generate the rotational offsets of the next char
list nextoffsets = indicesOf(arr1[i], arr2)
//make offsets the list of offsets that are valid for all elements up to arr1[i]
offsets = intersection(offsets, nextoffsets)
i++
return !offsets.empty
#include <stdio.h>
int isArraySame(int arr1[], int arr2[], int len1, int len2){
int var1=0;
int var2=0;
int index=0;
for (index=0;index<len1;index++){
var1+=arr1[index];
}
for (index=0;index<len2;index++){
var2+=arr2[index];
}
if (var1==var2) return 1;
return 0;
}
int main(){
int arr1[] = {1,2,3,4,5};
int arr2[] = {3,4,5,1,2};
if (isArraySame(arr1, arr2, 5, 5)) {
printf("true");
} else {
printf("false");
}
return 0;
}
You may be interested in the C++ equivalent for this. It's instructive to see how the Standard Library provides much higher-level abstractions than are available to the C programmer.
First of all, we'll want a sensible signature for our function. Let's make it a template, so we can use std::array as happily as std::vector and struct Foo as happily as int:
template<typename T>
bool equals_rotated(const std::vector<T>& a, const std::vector<T>& b);
And some simple tests:
int main()
{
const auto e = equals_rotated<int>;
return !e({}, {})
+ e({1, 2, 3, 4} , {1, 2, 3})
+ !e({1, 2, 3} , {1, 2, 3})
+ e({1, 2, 3, 4} , {1, 2, 4, 3})
+ !e({1, 2, 3, 4} , {4, 1, 2, 3})
;
}
The implementation is straightforward. We know that if the arrays differ in length then they can't be equivalent; conversely, if they are identical, they must be equivalent. So let's return early in those cases:
if (a.size() != b.size())
return false;
if (a == b)
return true;
For the general case, we can make a concatenation of a and itself, and then test whether that contains b as a subsequence. This will have an impact on the memory requirement, but it makes for a simple implementation:
auto v = a;
v.reserve(2*a.size());
std::copy(a.begin(), a.end(), std::back_inserter(v));
return std::search(v.begin(), v.end(), b.begin(), b.end()) != v.end();
If we put that all together, include the necessary headers, and add a wrapper so that we can call it from C, we get:
#include <algorithm>
#include <iterator>
#include <vector>
template<typename IterA, typename IterB>
bool equals_rotated(IterA a_begin, IterA a_end, IterB b_begin, IterB b_end)
{
// trivial tests
if (a_end - a_begin != b_end - b_begin)
return false;
if (std::equal(a_begin, a_end, b_begin, b_end))
return true;
// Otherwise, make a copy of a+a
std::vector<typename std::iterator_traits<IterA>::value_type> v;
v.reserve(2 * (a_end - a_begin));
const auto ins = std::back_inserter(v);
std::copy(a_begin, a_end, ins);
std::copy(a_begin, a_end, ins);
// and test whether it contains b
return std::search(v.begin(), v.end(), b_begin, b_end) != v.end();
}
template<typename T>
bool equals_rotated(const std::vector<T>& a, const std::vector<T>& b)
{
return equals_rotated(a.begin(), a.end(), b.begin(), b.end());
}
extern "C" {
bool is_rotated_array(int *a, size_t a_len, int *b, size_t b_len)
{
return equals_rotated(a, a+a_len, b, b+b_len);
}
}
int main()
{
const auto e = equals_rotated<int>;
return !e({}, {})
+ e({1, 2, 3, 4} , {1, 2, 3})
+ !e({1, 2, 3} , {1, 2, 3})
+ e({1, 2, 3, 4} , {1, 2, 4, 3})
+ !e({1, 2, 3, 4} , {4, 1, 2, 3})
;
}

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