Matrix Chain Multiplication Suppose you have to evaluate an expression like A*B*C*D*E where A,B,C,D and E are matrices. Since matrix multiplication is associative, the order in which multiplications are performed is arbitrary. However, the number of elementary multiplications needed strongly depe...
矩阵链乘(Matrix Chain Multiplication) 输入n个矩阵的维度和一些矩阵链乘表达式,输出乘法的次数。如果乘法无法进行,则输出error。假定A是m*n矩阵,B是n*p矩阵,那么A*B是m*p矩阵,乘法次数为m*n*p。如果A的列数不等于B的行数,则乘法无法进行。 例如,A是50*10的,B是10*20的,C是20*5的,则(A(BC))的乘法...
UVA - 442 Matrix Chain Multiplication 双端队列 题目大意:给出n个矩阵和表达式,问该表达式是否正确,如果计算正确,输出计算了多少次 解题思路:双端队列,遇到右括号时弹出后面的两个矩阵进行乘法,相乘时要注意顺序,是第二个出队列的乘上第一个出队列的。 #include<cstdio> #include<algorithm> #include<deque> #...
Matrix-chainmultiplication Matrix-chainmultiplication 问题描述 Input:{p0, p1 ,... , p n}. a chain {A1, A2,..., A n} of n matrices for i = 1, 2,...,n , matrix A i has dimension p i-1 * p i.值得注意的该问题的输⼊定义及其巧妙，不仅定义了矩阵的⾏以及列，还说明了它们是...
[题目链接] 思路 核心问题是正确处理多个括号内矩阵的运算顺序,使用stack将矩阵存入,每当遇见字符 ' ) ' 时对栈顶的两个元素进行操作,便可以正确处理顺序。另使用结构...
矩阵链乘(Matrix Chain Multiplication) Matrix Chain Multiplication Time Limit:3000MS Memory Limit:Unknown 64bit IO Format:%lld & %llu Submit Status Description Suppose you have to evaluate an expression like A*B*C*D*E where A,B,C...
Matrix chain multiplication is one of the classic optimization problems in computer science. For a given sequence \\(A_{1}\\), \\(A_{2},\\ldots ,A_{n}\\) of matrices, we need to compute the product of these matrices using the minimum number of scalar multiplications on a single ...
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Hi @willow-ahrens @kylebd99, I wanted to discuss a bit Matrix Chain Multiplication Python example that I'm working on. The Python implementation relies on lazy indexing, as tensordot is slow for other examples, like SDDMM. Here's Python ...
#encoding=utf8 import sys # 存储矩阵,每个矩阵是一个三元组 matrixs = [] def func(matrix_express): if len(matrix_express) == 0: return 0 # 用于计算表达式的栈 stack = [] # 乘法次数 time_count = 0 for symbol in matrix_express: if symbol == '(': stack.append(symbol) elif symbol...