Array constructor for 2-dimensional array push cause all element do the same

Question

I declare a 2-dimensional array

var arr = new Array(4).fill([])
// arr = [[],[],[],[]]

When I want to push a value to one of its elements, it cause others do the same

arr[0].push(1)
// arr = [[1],[1],[1],[1]]

Why that happend, how to fix it?