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// 2967. Minimum Cost to Make Array Equalindromic
#include "leetcode.h"
/*
* you are given a 0-indexed integer array 'nums' having length 'n'. you are
* allowed to perform a special move any number of times on 'nums'. in one
* special move, you perform the following steps in order: choose an index 'i'
* in the range '[0, n - 1]' and a positive integer 'x', add '|nums[i] - x|' to
* the total cost, and change the value of 'nums[i]' to 'x'. a palindromic
* number is a positive integer that remains the same when its digits are
* reversed. an array is considered equalindromic if all the elements in the
* array are equal to an integer 'y', where 'y' is a palindromic number less
* than 10^9. return an integer denoting the minimum possible total cost to make
* 'nums' equalindromic by performing any number of special moves
*/
bool is_palindrome(int num) {
if (num < 0)
return false;
int reverse = 0, original = num;
while (num) {
int digit = num % 10;
if (reverse > (INT_MAX - digit) / 10)
return false;
reverse = reverse * 10 + digit;
num /= 10;
}
return reverse == original;
}
long long calculate_cost(int *nums, int numsSize, int target) {
long long cost = 0;
for (int i = 0; i < numsSize; i++)
cost += abs(nums[i] - target);
return cost;
}
int cmp(const void *a, const void *b) { return (*(int *)a - *(int *)b); }
long long minimumCost(int *nums, int numsSize) {
qsort(nums, numsSize, sizeof(int), cmp);
int median = nums[numsSize / 2];
int lower = median - 100000, upper = median + 100000;
if (lower < 1)
lower = 1;
if (upper > 1000000000)
upper = 1000000000;
long long min_cost = LLONG_MAX;
for (int i = 0; i <= upper; i++)
if (is_palindrome(i)) {
long long curr_cost = calculate_cost(nums, numsSize, i);
if (curr_cost < min_cost)
min_cost = curr_cost;
}
return min_cost;
}
int main() {
int n1[] = {1, 2, 3, 4, 5}, n2[] = {10, 12, 13, 14, 15},
n3[] = {22, 33, 22, 33, 22};
printf("%lld\n", minimumCost(n1, ARRAY_SIZE(n1))); // expect: 6
printf("%lld\n", minimumCost(n2, ARRAY_SIZE(n2))); // expect: 11
printf("%lld\n", minimumCost(n3, ARRAY_SIZE(n3))); // expect: 22
}
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