<p>There is a 1 million by 1 million grid on an XY-plane, and the coordinates of each grid square are <code>(x, y)</code>.</p>

<p>We start at the <code>source = [s<sub>x</sub>, s<sub>y</sub>]</code> square and want to reach the <code>target = [t<sub>x</sub>, t<sub>y</sub>]</code> square. There is also an array of <code>blocked</code> squares, where each <code>blocked[i] = [x<sub>i</sub>, y<sub>i</sub>]</code> represents a blocked square with coordinates <code>(x<sub>i</sub>, y<sub>i</sub>)</code>.</p>

<p>Each move, we can walk one square north, east, south, or west if the square is <strong>not</strong> in the array of <code>blocked</code> squares. We are also not allowed to walk outside of the grid.</p>

<p>Return <code>true</code><em> if and only if it is possible to reach the </em><code>target</code><em> square from the </em><code>source</code><em> square through a sequence of valid moves</em>.</p>

<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>

<pre>
<strong>Input:</strong> blocked = [[0,1],[1,0]], source = [0,0], target = [0,2]
<strong>Output:</strong> false
<strong>Explanation:</strong> The target square is inaccessible starting from the source square because we cannot move.
We cannot move north or east because those squares are blocked.
We cannot move south or west because we cannot go outside of the grid.
</pre>

<p><strong class="example">Example 2:</strong></p>

<pre>
<strong>Input:</strong> blocked = [], source = [0,0], target = [999999,999999]
<strong>Output:</strong> true
<strong>Explanation:</strong> Because there are no blocked cells, it is possible to reach the target square.
</pre>

<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>

<ul>
	<li><code>0 &lt;= blocked.length &lt;= 200</code></li>
	<li><code>blocked[i].length == 2</code></li>
	<li><code>0 &lt;= x<sub>i</sub>, y<sub>i</sub> &lt; 10<sup>6</sup></code></li>
	<li><code>source.length == target.length == 2</code></li>
	<li><code>0 &lt;= s<sub>x</sub>, s<sub>y</sub>, t<sub>x</sub>, t<sub>y</sub> &lt; 10<sup>6</sup></code></li>
	<li><code>source != target</code></li>
	<li>It is guaranteed that <code>source</code> and <code>target</code> are not blocked.</li>
</ul>

class Solution:
    def isEscapePossible(self, blocked: List[List[int]], source: List[int], target: List[int]) -> bool:
        if not blocked: return True
        blocked = set(map(tuple, blocked))
        
        def check(blocked, source, target):
            si, sj = source
            ti, tj = target
            level = 0
            q = collections.deque([(si,sj)])
            vis = set()
            while q:
                for _ in range(len(q)):
                    i,j = q.popleft()
                    if i == ti and j == tj: return True
                    for x,y in ((i+1,j),(i-1,j),(i,j+1),(i,j-1)):
                        if 0<=x<10**6 and 0<=y<10**6 and (x,y) not in vis and (x,y) not in blocked:
                            vis.add((x,y))
                            q.append((x,y))
                level += 1
                if level == int(2*len(blocked)): break
            else: return False
            return True
        
        return check(blocked, source, target) and check(blocked, target, source)
61200