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31 lines
640 B
31 lines
640 B
package cap4
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import (
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"math"
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)
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// Ex26 矩阵连乘，p为矩阵链，p[0],p[1]代表第一个矩阵的行数和列数，p[1],p[2]代表第二个矩阵的行数和列数
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func Ex26(p []int) (int, [][]int) {
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length := len(p)
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m, s := _makeMatrix(length, length), _makeMatrix(length, length)
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for i := 1; i < length; i++ {
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m[i][i] = 0
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}
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n := length - 1
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for l := 2; l <= n; l++ {
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for i := 1; i <= n-l+1; i++ {
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j := i + l - 1
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m[i][j] = math.MaxInt32
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for k := i; k <= j-1; k++ {
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q := m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j]
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if q < m[i][j] {
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m[i][j], s[i][j] = q, k
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}
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}
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}
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}
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return m[1][length-1], s
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}
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