when I try to add the new element to the array it changes the rest of the elements by repeating the last one I added I'm learning to program in java script and I found this error not because it occurs can someone explain it to me

input=`^>v<`
input=input.split("")
var coordinates=[0,0]
var positions=[]
y=0
v=0

for (x in input){
    v+=1
    x=input[x]
  
    
     if (x=="^"){
        coordinates[1]+=1
     }
     if (x=="v"){
        coordinates[1]-=1
     }  
     if (x==">"){
        coordinates[0]+=1
     }
     if (x=="<"){
        coordinates[0]-=1
     }
    boolean=positions.indexOf(coordinates)
    positions.push(coordinates)
    console.log(coordinates)
      }
   
    
     
     
    console.log(positions)

output

[ [ 0, 1 ] ]
[ [ 1, 1 ], [ 1, 1 ] ]
[ [ 1, 0 ], [ 1, 0 ], [ 1, 0 ] ]
[ [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ] ]
[ [ 0, 0 ], [ 0, 0 ], [ 0, 0 ], [ 0, 0 ] ]