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come out today we are going to talk about hoops what is sent me a heat is a complete minority a heat power of two types mean fit and maximum what is mean here value of each node must be less than instead which is the root node must be the smallest amount called the other nodes and this property is known as mean heat property let's go through an example from this example we can see that 1 2 and 3 are the root nodes it is satisfies Ministry property because one is less than the return toward three two is the standard chain correctly and also 3 is less than insert neck in Maxfield the value of each node must be greater than its charge node which means the root node is the largest among those nodes this property is known as Max heat throttle let's go through an example from this example we can see that 95 and 4 are the root logs here 9 is greater than their child 514 5 is greater than temperature one and three also 4 is greater than the third child two heaps are represented are sorry we can see it indeed okay this is a mean hit now here we can see that each node is lesser organic child nodes so it is if we want to represent this mean heat in an array and this is the sub first we have to write the book the dog food at the first elements both at the first term one then then in this order which is done left to right we have to represent each element in this array which means at the layer 2 we have to represent these two in next two indexes and next four elements in next foreign it will be in this format okay and now we represented it in order then how will we know the connections between uh elements in this array or which node is the root or which node is the child or which is the drop cost which is the left side which is the right time how we know so there is a relationship which is which is used to know that after that we use the equation uh to IEC to I Plus okay suppose we want to know the electric side of 10 which is then the 10 the element trend has uh 20 and 20 degrees so the elemented the element 10 index is 1. so to know that reacted we use 2 into 1 plus 1 this is equal to 3 and in third index we got the left so that's good next we want to know the right check the right child equation is 2i Plus 2. suppose we want to know the equation ritual of 50 so we check the index of 50 which is 2. to know the right check which is 2 into 15 index is 2 so 2 plus 2...