嗨，我是 javascript 新手，需要将以下输入数组转换为 javascript 中提到的输出
需要一个 javascript 解决方案来获得所需的输出
input= [
[
"item10",
"item4",
"item3",
"item2",
"item1"
],
[
"item5",
"item3",
"item2",
"item1"
],
[
"item9",
"item8",
"item7",
"item6",
"item1"
]
]
output= {"value":"3","name":"root","children": [ {"value":"3","name":"item 1","children": [ {"value":"2","name":"item 2","children": [ {"value":"2","name":"item 3","children": [ {"value":"1","name":"item 4","children": [ {"value":"1","name":"item 10","children": [ ]}]},{"value":"1","name":"item 5","children": [ ]}]}]},{"value":"1","name":"item 6","children": [ {"value":"1","name":"item 7","children": [ {"value":"1","name":"item 8","children": [ {"value":"1","name":"item 9","children": [ ]}]}]}]}]}]};