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ut$ut% 'reorder traversal o" binary tree is *23. &norder traversal o" binary tree is 23*. 'ostorder traversal o" binary tree is 23.*
Time Complexity: (n) Let us $rove it%
8om$le0ity "unction T(n) J "or all $roblem where tree traversal is involved J can be de1ned as% T(n) C T(k) K T(n k *) K c Mhere k is the number o" nodes on one side o" root and n+k+* on the other side LetNs do analysis o" boundary conditions 8ase *% Skewed tree (ne o" the subtrees is em$ty and other subtree is non+ em$ty ) k is I in this case T(n) C T(I) K T(n+*) K c T(n) C T(I) K T(n+) K c T(n) C .T(I) K T(n+.) K .c T(n) C 2T(I) K T(n+2) K 2c OOOOOOOOOOOOOOOO OOOOOOOOOOOOOOOO T(n) C (n+*)T(I) K T(*) K (n+*)c T(n) C nT(I) K (n)c -alue o" T(I) will be some constant say d (traversing a em$ty tree will take some constants time) T(n) C n(cKd) T(n) C (+)(n) (Theta o" n) 8ase % oth le"t and right subtrees have e6ual number o" nodes