Can somebody please help me with the mistake in algorithm [closed] - c

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Problem Link: https://www.codechef.com/problems/PERMUT2
Problem : Getting non ambiguous for all test cases. There is absolutely no problem in executing the program, no errors.
Can you please point out the mistake in my code/algorithm:
#include <stdio.h>
#include <stdlib.h>
int index_func(int number, int *array, int x);
int main(){
int n;
scanf("%d", &n);
int *nums = (int*)malloc(n*sizeof(int));
int i;
for(i=0; i<n; i++){
scanf("%d", &nums[i]);
}
int j;
int counter = 0;
for(j=0; j<n; j++){
if(nums[j] != index_func(j+1, nums, n)){
counter = 1;
break;
}
}
if(counter == 0){
printf("ambiguous\n");
}else{
printf("non ambiguous\n");
}
return 0;
}
int index_func(int number, int *array, int x){
int z, index;
for(z=0; z<x; z++){
if(number == array[z]){
index = z;
return z;
}
}
}

Answer 1

The numbers in the array start with one, but the indices in C arrays start with 0. A quick fix to your program would be to add one to the returned index when you compare it to the current number:
if (nums[j] != index_func(j + 1, nums, n) + 1) ...
An alternative solution is to adjust the array data by subtracting one after you scan it, so that the array contains zero-based numbers.
A problem may arise with larger arrays, because every call to index_func scans the whole array from the beginning and will traverse half of it on average. The solution will be correct, but very slow.
But you don't have to determine the index to do the comparison. It is sufficient to check whether the number at the index of the current number is the current index. That leads to this function:
int is_ambiguous(const int *array, int n)
{
int i;
for (i = 0; i < n; i++) {
if (array[array[i] - 1] != i + 1) return 0;
}
return 1;
}
Some notes on your original code:
You should return an invalid index, probably −1, from index_funct when the nuber isn't in the array. I know, this shouldn't happen here, but next time you copy and paste the code and the missing return value might bite you.
You don't really need the variable index in index_funct. Separating pieces of code into small functions can make the program control easier. Compare the above function is_ambiguous with your inline solution with a counter variable and a break.
When you allocate, you must also free, which you don't.

Answer 2

try this solution:
#include <stdio.h>
#include <stdlib.h>
#include <math.h>
int index_func(int number, int *array, int x);
int main(){
int n;
scanf("%d", &n);
int *nums = (int*)malloc(n*sizeof(int));
int i;
for(i=0; i<n; i++) {
scanf("%d", &nums[i]);
}
int j;
int counter = 0;
for(j=0; j<n-1; j++){
if((abs(nums[j+1] - nums[j]) != abs(n-1)) && (abs((nums[j+1] - nums[j]) != 1)))
{
counter = 0;
}
else
{
counter = 1;
}
}
if(counter == 0){
printf("ambiguous\n");
}else{
printf("non ambiguous\n");
}
free(nums);
return 0;
}