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lavos/cap4/ex26.go

31 lines
640 B

package cap4
import (
"math"
)
// 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
func Ex26(p []int) (int, [][]int) {
length := len(p)
m, s := _makeMatrix(length, length), _makeMatrix(length, length)
for i := 1; i < length; i++ {
m[i][i] = 0
}
n := length - 1
for l := 2; l <= n; l++ {
for i := 1; i <= n-l+1; i++ {
j := i + l - 1
m[i][j] = math.MaxInt32
for k := i; k <= j-1; k++ {
q := m[i][k] + m[k+1][j] + p[i-1]*p[k]*p[j]
if q < m[i][j] {
m[i][j], s[i][j] = q, k
}
}
}
}
return m[1][length-1], s
}