For an array of size N, what is the number of comparisons required?
For an array of size N, what is the number of comparisons required?
int[] int_array = {4, 6, 2, 9, 1, 7, 4, 2, 9, 0, 3, 6, 1, 6, 8};
int largst=int_array[0];
int second=int_array[0];
for (int i=0; i<int_array.length; i++){
if(int_array[i]>largst) {
second=largst;
largst=int_array[i];
}
else if(int_array[i]>second && int_array[i]<largst) {
second=int_array[i];
}
}
I suppose, follow the "optimal algorithm uses n+log n-2 comparisons" from above, the code that I came up with that doesn't use binary tree to store the value would be the following:
During each recursive call, the array size is cut in half.
So the number of comparison is:
1st iteration: n/2 comparisons
2nd iteration: n/4 comparisons
3rd iteration: n/8 comparisons
... Up to log n iterations?
Hence, total => n - 1 comparisons?
function findSecondLargestInArray(array) {
let winner = [];
if (array.length === 2) {
if (array[0] < array[1]) {
return array[0];
} else {
return array[1];
}
}
for (let i = 1; i <= Math.floor(array.length / 2); i++) {
if (array[2 * i - 1] > array[2 * i - 2]) {
winner.push(array[2 * i - 1]);
} else {
winner.push(array[2 * i - 2]);
}
}
return findSecondLargestInArray(winner);
}
Assuming array contain 2^n number of numbers.
If there are 6 numbers, then 3 numbers will move to the next level, which is not right.
Need like 8 numbers => 4 number => 2 number => 1 number => 2^n number of number