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Minimum-sum descent: Some positive integers are arranged in an equilateral triangle with n numbers in its base like the one shown in the figure below

image text in transcribedMinimum-sum descent: Some positive integers are arranged in an equilateral triangle with n numbers in its base like the one shown in the figure below for n = 4. The problem is to find the smallest sum in a descent from the triangle apex to its base through a sequence of adjacent numbers (shown in the figure by the circles). Design a dynamic programming algorithm for this problem and indicate its time efficiency

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6 7 4 9 2 4 1 8 6 7 4 9 2 4 1 8

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