17-recursive_backtracking

# How do i un make a choice 8 permutations revisited

• Notes
• 13

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How do I "un-make" a choice?

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8 Permutations revisited • Write a method permute that accepts a string as a parameter and outputs all possible rearrangements of the letters in that string. The arrangements may be output in any order. – Example: permute("MARTY") outputs the following sequence of lines: YMTAR YMTRA YAMRT YAMTR YARMT YARTM YATMR YATRM YRMAT YRMTA YRAMT YRATM YRTMA YRTAM YTMAR YTMRA YTAMR YTARM YTRMA YTRAM TARMY TARYM TAYMR TAYRM TRMAY TRMYA TRAMY TRAYM TRYMA TRYAM TYMAR TYMRA TYAMR TYARM TYRMA TYRAM YMART YMATR YMRAT YMRTA RTMAY RTMYA RTAMY RTAYM RTYMA RTYAM RYMAT RYMTA RYAMT RYATM RYTMA RYTAM TMARY TMAYR TMRAY TMRYA TMYAR TMYRA TAMRY TAMYR ATYMR ATYRM AYMRT AYMTR AYRMT AYRTM AYTMR AYTRM RMATY RMAYT RMTAY RMTYA RMYAT RMYTA RAMTY RAMYT RATMY RATYM RAYMT RAYTM MYRAT MYRTA MYTAR MYTRA AMRTY AMRYT AMTRY AMTYR AMYRT AMYTR ARMTY ARMYT ARTMY ARTYM ARYMT ARYTM ATMRY ATMYR ATRMY ATRYM MARTY MARYT MATRY MATYR MAYRT MAYTR MRATY MRAYT MRTAY MRTYA MRYAT MRYTA MTARY MTAYR MTRAY MTRYA MTYAR MTYRA MYART MYATR
9 Exercise solution // Outputs all permutations of the given string. public static void permute(String s) { permute(s, ""); } private static void permute(String s, String chosen) { if (s.length() == 0) { // base case: no choices left to be made System.out.println(chosen); } else { // recursive case: choose each possible next letter for (int i = 0; i < s.length(); i++) { char c = s.charAt(i); // choose

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10 Exercise solution 2 // Outputs all permutations of the given string. public static void permute(String s) { permute(s, ""); } private static void permute(String s, String chosen) { if (s.length() == 0) { // base case: no choices left to be made System.out.println(chosen); } else { // recursive case: choose each possible next letter for (int i = 0; i < s.length(); i++) { String ch = s.substring(i, i + 1); // choose
11 Exercise: Combinations • Write a method combinations that accepts a string s and an integer k as parameters and outputs all possible k -letter words that can be formed from unique letters in that string.

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• Spring '08
• SR
• Computer Science, Backtracking, private static void, MARTY MARYT, String ch, static void combinations

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