Problem

Prove that, after the following pseudocode terminates, a[h]= val: for all p, i ≤ p < h,...

Prove that, after the following pseudocode terminates, a[h]= val: for all p, i ≤ ph, a[p] < val; and for all p, hp ≤ j, a[p] ≥ val. In particular, val is in the position in the array a[i],.......... a[j] where it would be if the array were sorted.

Val = a[i]

h = i

for k = i + 1 to j

   if (a[k] < val) {

h = h + 1

swap(a[h], a[k])

}

swap(a[i], a[h])

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