A non-empty array A consisting of N integers is given. Array A represents numbers on a tape.
Any integer P, such that 0 < P < N, splits this tape into two non-empty parts: A[0], A[1], ..., A[P − 1] and A[P], A[P + 1], ..., A[N − 1].
The difference between the two parts is the value of: |(A[0] + A[1] + ... + A[P − 1]) − (A[P] + A[P + 1] + ... + A[N − 1])|
In other words, it is the absolute difference between the sum of the first part and the sum of the second part.
For example, consider array A such that:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3We can split this tape in four places:
- P = 1, difference = |3 − 10| = 7
- P = 2, difference = |4 − 9| = 5
- P = 3, difference = |6 − 7| = 1
- P = 4, difference = |10 − 3| = 7
Write a function:
function solution($A);
that, given a non-empty array A of N integers, returns the minimal difference that can be achieved.
For example, given:
A[0] = 3 A[1] = 1 A[2] = 2 A[3] = 4 A[4] = 3the function should return 1, as explained above.
Write an efficient algorithm for the following assumptions:
- N is an integer within the range [2..100,000];
- each element of array A is an integer within the range [−1,000..1,000].
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 9999999999999999999999999;
$sum_total = array_sum($A);
for ($i = $count_; $i > 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
print(solution([3,1,2,4,3]));
PHP Parse error: syntax error, unexpected '[', expecting ')' in /tmp/user.php on line 25
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 9999999999999999999999999;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
print(solution([3,1,2,4,3]));
PHP Parse error: syntax error, unexpected '[', expecting ')' in /tmp/user.php on line 25
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 9999999999999999999999999;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
print(solution(array(3,1,2,4,3)));
WARNING: producing output may seriously slow down your code! 1
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 9999999999999999999999999;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$arr_l = $sum_total - $arr_h;
$diff = abs($arr_h - $arr_l);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$diff = abs(2*$arr_h - $sum_total);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$diff = abs(2*$arr_h - $sum_total);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
function solution($A)
{
$count_ = count($A);
if($count_ == 0) return -1;
if($count_ == 1) return $A[1];
$sum_total = 0;
$arr_h = 0;
$arr_l = 0;
$gen_diff = 100001;
$sum_total = array_sum($A);
for ($i = $count_-1; $i >= 0 ; $i--)
{
$arr_h += $A[$i];
$diff = abs(2*$arr_h - $sum_total);
if($diff < $gen_diff)
$gen_diff = $diff;
}
return $gen_diff;
}
The following issues have been detected: wrong answers.