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    <p>I would iterate over the array starting on the right end. Store the digit on the right as the smallest digit and max digit and start moving left, if you hit a new smaller number, call it potential smallest. If you keep moving left and you find a smaller number, make the smaller one the potential. If you find a bigger number, make potential smaller the smallest int and store the bigger one as max digit. Every time you hit a bigger digit than your smallest one, make it the new max digit. If you hit the end, swap max digit and smallest digit. In python (This works and is O(n))</p> <pre class="lang-py prettyprint-override"><code>def swap_max(digits): i = len(digits) - 1 while i &gt; 0: if digits[i] == 0: i-= 1 else: break max_i = i min_i = i pot_i = i z_i = -1 nz_i = i i = len(digits) - 1 while i &gt;= 0: if digits[i] &gt; digits[pot_i]: max_i = i min_i = pot_i if digits[i] &lt; digits[min_i] and digits[i] != 0: pot_i = i if digits[i] == 0 and z_i == -1: z_i = i if digits[i] != 0 and i &gt; 0: nz_i = i i -= 1 if z_i != -1 and max_i != 0 and max_i &lt; z_i: min_i = z_i i = nz_i max_i = i elif max_i == min_i and z_i != -1: i = nz_i if i &lt; z_i: min_i = z_i max_i = i v = digits[min_i] digits[min_i] = digits[max_i] digits[max_i] = v return digits #TESTING THE FUNCTION tests = [93561,596,10234,120,10091,98761111,1001,1010,1103,120,93218910471211292416] results = [13569,569,10234,102,10019,18761119,1001,1001,1013,102,13218910471211292496] tests = map(list,map(str,tests)) results = map(list,map(str,results)) for i in range(len(tests)): res ="".join(map(str,swap_max(map(int,tests[i])))) print res,"".join(results[i]) if res=="".join(results[i]): print "PASSED\n" else: print "FAILED\n" </code></pre> <p>This ended up working for all the examples. It also has the advantage of being O(1) memory usage.</p>
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    1. POAlgorithm to find smallest integer by swapping a pair of digits in given integer
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    1. CO"591" - Wouldn't your solution result in "519"?
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    2. CO@mbeckish no, it'd result in 195.
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    3. COAfter "9" becomes "max digit", how would "5" then become "max digit", so that it can be part of the swap?
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