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To calculate 'equilibrium indexes' for arrays. Read comments for details.
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<?php | |
/** Problem found on Codility | |
* A zero-indexed array A consisting of N integers is given. An equilibrium index of this array is any integer P such that 0 ≤ P < N and the sum of elements of lower indices is equal to the sum of elements of higher indices, i.e. | |
* A[0] + A[1] + ... + A[P−1] = A[P+1] + ... + A[N−2] + A[N−1]. Sum of zero elements is assumed to be equal to 0. This can happen if P = 0 or if P = N−1. | |
* For example, consider the following array A consisting of N = 8 elements: | |
* A[0] = -1, A[1] = 3, A[2] = -4, A[3] = 5, A[4] = 1, A[5] = -6, A[6] = 2, A[7] = 1 | |
* P = 1 is an equilibrium index of this array, because: | |
* A[0] = −1 = A[2] + A[3] + A[4] + A[5] + A[6] + A[7] | |
* P = 3 is an equilibrium index of this array, because: | |
* A[0] + A[1] + A[2] = −2 = A[4] + A[5] + A[6] + A[7] | |
* P = 7 is also an equilibrium index, because: | |
* A[0] + A[1] + A[2] + A[3] + A[4] + A[5] + A[6] = 0 and there are no elements with indices greater than 7. | |
* P = 8 is not an equilibrium index, because it does not fulfill the condition 0 ≤ P < N. | |
* Write a function: | |
* function solution($A); that, given a zero-indexed array A consisting of N integers, returns any of its equilibrium indices. The function should return −1 if no equilibrium index exists. | |
* For example, given array A shown above, the function may return 1, 3 or 7, as explained above. | |
* Assume that: N is an integer within the range [0..100,000]; | |
* each element of array A is an integer within the range [−2,147,483,648..2,147,483,647]. | |
* Complexity: expected worst-case time complexity is O(N); expected worst-case space complexity is O(N), beyond input storage (not counting the storage required for input arguments). | |
* Elements of input arrays can be modified. | |
*/ | |
function solution($A) { | |
// write your code in PHP5.5 | |
$sum = 0; | |
$length = count($A); | |
$eq = -1; | |
for($i = 0; $i < $length; $i++) { | |
if($i == 0) { | |
$copy = $A; | |
$end = array_splice($copy, 1, $length - 1); | |
$sum = array_sum($end); | |
if($sum == 0) { | |
$eq = $i; | |
} | |
} else if($i == $length - 1) { | |
$copy = $A; | |
$begin = array_splice($copy, 0, $length - 1); | |
$sum = array_sum($begin); | |
if($sum == 0) { | |
$eq = $i; | |
} | |
} else { | |
$copy1 = $copy2 = $A; | |
$pre = array_splice($copy1, 0, $i); | |
$post = array_splice($copy2, $i + 1, $length - 1); | |
if(array_sum($pre) == array_sum($post)) { | |
$eq = $i; | |
} | |
} | |
} | |
$sum = 0; | |
return $eq; | |
} | |
solution([-1, 3, -4, 5, 1, -6, 2, 1]); |
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