user11144: [FEN "8/8/8/8/pp6/kp6/1p6/1K6 w KQkq - 0 1"]

This is a well-known position: both sides are stalemated (if it's their move). It's the lightest position with this property.
Devise the lightest positions where each piece of each side has exactly n moves. (So this would be n=0, you may go up to n=8, which is of course solved by putting only the kings into the free field.)
"Lightest" is defined in the standard way: first piece count, rather pawns than figures, rather black than white.
Experts, please hold you back, it's a very easy puzzle. :-)

user21604: It is true that for larger numbers of moves it becomes easier. From the following solutions, the ones from n=2 to n=8 are clearly optimal. The solution for n=1 looks good, but it may not be optimal.
All pieces have 1 move
[FEN "8/8/8/1pp5/8/K7/8/k7 w - - 0 1"]

2 moves (found by ghilesZ)
[FEN "2k5/K1p5/8/8/8/8/8/8 w - - 0 1"]

3 moves
[FEN "8/8/8/8/8/8/K7/2k5 w KQkq - 0 1"]

4 moves
[FEN "8/8/8/8/8/K7/8/2k5 w KQkq - 0 1"]

5 moves
[FEN "8/8/8/8/8/K7/8/3k4 w KQkq - 0 1"]

6 moves
[FEN "8/8/8/8/8/1K6/3k4/8 w KQkq - 0 1"]

7 moves
[FEN "8/8/8/8/1K6/8/3k4/8 w KQkq - 0 1"]

8 moves
[FEN "8/8/8/8/1K6/8/4k3/8 w KQkq - 0 1"]


11144: <pre><code>[FEN &quot;8/8/8/8/pp6/kp6/1p6/1K6 w KQkq - 0 1&quot;]
</code></pre>
<p>This is a well-known position: both sides are stalemated (if it's their move). It's the lightest position with this property.</p>
<p>Devise the lightest positions where <em>each</em> piece of each side has exactly n moves. (So this would be n=0, you may go up to n=8, which is of course solved by putting only the kings into the free field.)</p>
<p>&quot;Lightest&quot; is defined in the standard way: first piece count, rather pawns than figures, rather black than white.</p>
<p>Experts, please hold you back, it's a very easy puzzle. :-)</p>
 21604: <p>It is true that for larger numbers of moves it becomes easier. From the following solutions, the ones from n=2 to n=8 are clearly optimal. The solution for n=1 looks good, but it may not be optimal.</p>
<h3>All pieces have 1 move</h3>
<pre><code>[FEN &quot;8/8/8/1pp5/8/K7/8/k7 w - - 0 1&quot;]
</code></pre>
<h3>2 moves (found by ghilesZ)</h3>
<pre><code>[FEN &quot;2k5/K1p5/8/8/8/8/8/8 w - - 0 1&quot;]
</code></pre>
<h3>3 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/8/8/K7/2k5 w KQkq - 0 1&quot;]
</code></pre>
<h3>4 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/8/K7/8/2k5 w KQkq - 0 1&quot;]
</code></pre>
<h3>5 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/8/K7/8/3k4 w KQkq - 0 1&quot;]
</code></pre>
<h3>6 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/8/1K6/3k4/8 w KQkq - 0 1&quot;]
</code></pre>
<h3>7 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/1K6/8/3k4/8 w KQkq - 0 1&quot;]
</code></pre>
<h3>8 moves</h3>
<pre><code>[FEN &quot;8/8/8/8/1K6/8/4k3/8 w KQkq - 0 1&quot;]
</code></pre>
