<p>Given a non-negative integer <code>c</code>, decide whether there&#39;re two integers <code>a</code> and <code>b</code> such that <code>a<sup>2</sup> + b<sup>2</sup> = c</code>.</p>

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

<pre>
<strong>Input:</strong> c = 5
<strong>Output:</strong> true
<strong>Explanation:</strong> 1 * 1 + 2 * 2 = 5
</pre>

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

<pre>
<strong>Input:</strong> c = 3
<strong>Output:</strong> false
</pre>

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

<ul>
	<li><code>0 &lt;= c &lt;= 2<sup>31</sup> - 1</code></li>
</ul>

class Solution:
    def judgeSquareSum(self, c: int) -> bool:
        sqrt_c = int(c**0.5)
        lis = [i for i in range(sqrt_c+1)]
        i, j = 0, len(lis)-1
        print (lis)
        while i <= j:
            if lis[i]**2 + lis[j]**2 == c:
                return True
            elif lis[i]**2 + lis[j]**2 > c:
                j -= 1
            else:
                i += 1
        return False
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