```Python
search_tree = [{
'id': 1,
'state': [1,1],
'children': [2,3,4],
'actions': ['n','s','e'],
'removed': False,
'parent': None
}, {
'id': 2,
'state': [1,2],
'children': [5,6,7],
'actions': ['n','s','w'],
'removed': False,
'parent': 1
}, {
'id': 3,
'state': [1,0],
'children': [8,9],
'actions': ['n','w'],
'removed': False,
'parent': 1
}, {
'id': 4,
'state': [2,1],
'children': [],
'actions': [],
'removed': True,
'parent': 1
}, {
'id': 5,
'state': [1,3],
'children': [10,11],
'actions': ['n','s','w'],
'removed': False,
'parent': 2
}, {
'id': 6,
'state': [1,1],
'children': [],
'actions': [],
'removed': True,
'parent': 2
}, {
'id': 7,
'state': [0,2],
'children': [12,13],
'actions': ['n','s'],
'removed': False,
'parent': 2
}, {
'id': 8,
'state': [1,1],
'children': [],
'actions': [],
'removed': False,
'parent': 3
}, {
'id': 9,
'state': [0,0],
'children': [],
'actions': [],
'removed': False,
'parent': 3
}, {
'id': 10,
'state': [1,4],
'children': [],
'actions': [],
'removed': False,
'parent': 5
}, {
'id': 11,
'state': [1,2],
'children': [],
'actions': [],
'removed': True,
'parent': 5
}, {
'id': 12,
'state': [0,3],
'children': [],
'actions': [],
'removed': False,
'parent': 7
}, {
'id': 13,
'state': [0,1],
'children': [],
'actions': [],
'removed': False,
'parent': 7
}]
```
open search tree