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A Sub-Array of an array A is a collection of numbers A[i1], A[i2], . . ....

A Sub-Array of an array A is a collection of numbers A[i1], A[i2], . . . A[ip] so that ij < ij+1 but ij+1 −ij > 1 is legal. For example given an array A = [9,5,2,6,3,7,2,9] [5,6,7,9] is a sub-array of A. Give an algorithm that finds the largest increasing sub-array.

Note that < 5, 6, 7, 9 > is the longest increasing sub-array for the above array.

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