我有一个关于汇编mips代码中root的最大总和叶子的问题。我使用MARS 4,5汇编程序。我有这个树值:
.data
root: .word 7, n01, n02
n01: .word -4, n03, n04
n02: .word 5, n05, n06
n03: .word 5, n07, n08
n04: .word 2, 0, n09
n05: .word 13, 0, 0
n06: .word -15, n10, n11
n07: .word 1, 0, 0
n08: .word 0, n12, n13
n09: .word 27, 0, 0
n10: .word 23, n14, 0
n11: .word 31, 0, n15
n12: .word -8, 0, 0
n13: .word 12, 0, 0
n14: .word 2, 0, 0
n15: .word 2, 0, 0
第一个元素是node的值,第二个元素是左子树,第三个元素是右子树。如何使用堆栈指针($ SP)为此问题编写ricorsion?非常感谢。
C代码:
int maxSumPath (struct node *root) {
if (!root ) return 0;
if(!root.left && !root.right) return root.value;
return max(root.value+maxSumPath(root.left) ,root.value+maxSumPath(root.right)); }
Image Problem 我解决了我的问题,这是我的解决方案:
.text
main:
la $a0, root #root's address
jal sum
move $a0, $v0 #out of the sum
li $v0, 1 #command to output
syscall
li $v0, 10 #exit();
syscall
sum:
bnez $a0, sumric #IF(nodo != null) start the recursion
li $v0, 0 #else right's sum
jr $ra
sumric:
addiu $sp, $sp, -12 #allocate space in the stack pointer
sw $ra, 0($sp) #save ra
sw $a0, 4($sp) #save node's address
lw $a0, 4($a0) #load left subtree node's address
jal sum
sw $v0, 8($sp) #save the max sum
lw $a0, 4($sp) #save node's address
lw $a0, 8($a0) #load right subtree node's address
jal sum
lw $t0, 8($sp) #load left subtree's sum
bge $v0, $t0, maxsumsx #IF(right subtree's sum > left subtree's sum) go to maxsumsx
move $v0, $t0 #else overwrite (change) the max sum
maxsumsx:
lw $t8, 4($sp) #load node's address
lw $t3, 0($t8) #load node's value
bne $t8, 0, maxsumdx #IF(right node's address != null) go to calculate right subtree's sum
addu $t0, $t0, $t3 #else update left sum
j turnUP
maxsumdx:
addu $v0, $v0, $t3 #update right sum
j turnUP
turnUP:
lw $ra, 0($sp) #update $ra's value in the stack
addiu $sp, $sp, 12 #deallocate space in the stack pointer
jr $ra #return back in recursion