Increment up an input vector by adding the indices to the vector values. For example, if an input vector is [3, 2, 6, 1, 6], the output vector is [3, 2, 6, 1, 6] + [1, 2, 3, 4, 5] = [4, 4, 9, 5, 11].
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This problem's title and description were cleaned up and additional test cases were added.