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Let $C_1, C_2, C_3$, and $C_4$ be four matrices of dimensions $40 \times 20,20 \times 30,30 \times 10$, and $10 \times$ 30 , respectively. The minimum number of scalar multiplications required to find the product $C_1 C_2 C_3 C_4$ using the basic matrix multiplication method is $\_\_\_\_$ .

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The minimum value is 26,000 . This corresponds to the parenthesization $\left(\left(C_1\left(C_2 C_3\right)\right) C_4\right.$
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