Let the following array represent a min$-$heap.

$1$

$2$

$3$

$4$

$4$

$4$

$5$

$6$

$7$

$8$

$109$

$111213$

$13$

$2116$

$243119$

$686526$

$32$

$1.$ If we insert the element $7$ in the above mentioned min$-$heap, then what array index will it be inserted on initially? And what position will it finally hold such that the min$-$heap property does not violate?

$2.$ If we perform a deletemin$()$ operation on the above mentioned min$-$heap, then what should be the index of the element $26$ in the above mentioned array, such that the property of min$-$heap does not violate.