static void checkAns( int[][] professor_preference, int[][] student_preference, Pair<Integer, Integer>[] matchResult) { assert matchResult.length == professor_preference.length; boolean[] professor = new boolean[professor_preference.length]; boolean[] student = new boolean[student_preference.length]; for (Pair<Integer, Integer> p : matchResult) { student[p.getFirst()] = true; professor[p.getSecond()] = true; } for (boolean p : professor) { assert p; } for (boolean s : student) { assert s; } for (int i = 0; i < matchResult.length; ++i) { for (int j = i + 1; j < matchResult.length; ++j) { int s0 = matchResult[i].getFirst(), a0 = matchResult[i].getSecond(); int s1 = matchResult[j].getFirst(), a1 = matchResult[j].getSecond(); int a0InS0Order = find(student_preference[s0], a0); int a1InS0Order = find(student_preference[s0], a1); int s0InA1Order = find(professor_preference[a1], s0); int s1InA1Order = find(professor_preference[a1], s1); assert a0InS0Order < a1InS0Order || s1InA1Order < s0InA1Order; } } }
// O(n^2) solution public static int checkAns(ArrayList<String> A, ArrayList<String> Q) { HashSet<String> dict = new HashSet<String>(); for (String s : Q) { dict.add(s); } Pair<Integer, Integer> ans = new Pair<Integer, Integer>(0, A.size() - 1); for (int l = 0; l < A.size(); ++l) { HashMap<String, Integer> count = new HashMap<String, Integer>(); for (int r = l; r < A.size() && r - l < ans.getSecond() - ans.getFirst(); ++r) { if (dict.contains(A.get(r))) { count.put(A.get(r), count.containsKey(A.get(r)) ? count.get(A.get(r)) + 1 : 1); } if (count.size() == Q.size()) { if (r - l < ans.getSecond() - ans.getFirst()) { ans.setFirst(l); ans.setSecond(r); } break; } } count.clear(); } return ans.getSecond() - ans.getFirst(); }
public static void main(String[] args) { Random r = new Random(); for (int times = 0; times < 1000; ++times) { int n; if (args.length == 1) { n = Integer.parseInt(args[0]); } else { n = r.nextInt(10001); } List<Integer> A = new ArrayList<Integer>(); for (int i = 0; i < n; ++i) { A.add(r.nextInt(n + 1)); } assert (findLongestContainedRangeInt(A) == checkAns(A)); Pair<Integer, Integer> res = findLongestContainedRange(A); System.out.println(res); assert (res.getSecond() - res.getFirst() + 1 == findLongestContainedRangeInt(A)); } }
@Override public int compare(Pair<Integer, Integer> o1, Pair<Integer, Integer> o2) { return o2.getFirst().compareTo(o1.getFirst()); }
public static void main(String[] args) { Random gen = new Random(); for (int times = 0; times < 1000; ++times) { int n; ArrayList<String> A = new ArrayList<String>(); if (args.length == 1) { n = Integer.parseInt(args[0]); } else { n = gen.nextInt(10000) + 1; } for (int i = 0; i < n; ++i) { A.add(randString(gen.nextInt(10) + 1)); } /* * for (int i = 0; i < A.size(); ++i) { cout << A[i] << ' '; } cout << * endl; */ HashSet<String> dict = new HashSet<String>(A); int m = gen.nextInt(dict.size()) + 1; ArrayList<String> Q = new ArrayList<String>(); Iterator<String> it = dict.iterator(); while (it.hasNext()) { Q.add(it.next()); if (--m == 0) { break; } } /* * for (int i = 0; i < Q.size(); ++i) { cout << Q[i] << ' '; } cout << * endl; */ Pair<Integer, Integer> res = findSmallestSubarrayCoveringSubset(A, Q); System.out.println(res.getFirst() + ", " + res.getSecond()); dict.clear(); for (int i = 0; i < Q.size(); ++i) { dict.add(Q.get(i)); } for (int i = res.getFirst(); i <= res.getSecond(); ++i) { if (dict.contains(A.get(i))) { dict.remove(A.get(i)); } } assert (dict.isEmpty() == true); Pair<Integer, Integer> res2 = SmallestSubarrayCoveringSetStream.findSmallestSubarrayCoveringSubset(A, Q); System.out.println(res2.getFirst() + ", " + res2.getSecond()); dict.clear(); for (int i = 0; i < Q.size(); ++i) { dict.add(Q.get(i)); } for (int i = res.getFirst(); i <= res.getSecond(); ++i) { if (dict.contains(A.get(i))) { dict.remove(A.get(i)); } } assert (dict.isEmpty() == true); assert (res.getSecond() - res.getFirst() == res2.getSecond() - res2.getFirst()); assert (res.getSecond() - res.getFirst() == checkAns(A, Q)); } }
// @include public static Pair<Integer, Integer> findSmallestSubarrayCoveringSubset( ArrayList<String> A, ArrayList<String> Q) { HashSet<String> dict = new HashSet<String>(Q); HashMap<String, Integer> countQ = new HashMap<String, Integer>(); int l = 0, r = 0; Pair<Integer, Integer> res = new Pair<Integer, Integer>(-1, -1); while (r < A.size()) { // Keep moving r until it reaches end or countQ has |Q| items. while (r < A.size() && countQ.size() < Q.size()) { if (dict.contains(A.get(r))) { countQ.put(A.get(r), countQ.containsKey(A.get(r)) ? countQ.get(A.get(r)) + 1 : 1); } ++r; } if (countQ.size() == Q.size() && // found |Q| keywords. ((res.getFirst() == -1 && res.getSecond() == -1) || r - 1 - l < res.getSecond() - res.getFirst())) { res.setFirst(l); res.setSecond(r - 1); } // Keep moving l until it reaches end or countQ has less |Q| items. while (l < r && countQ.size() == Q.size()) { if (dict.contains(A.get(l))) { int it = countQ.get(A.get(l)); countQ.put(A.get(l), --it); if (it == 0) { countQ.remove(A.get(l)); if ((res.getFirst() == -1 && res.getSecond() == -1) || r - 1 - l < res.getSecond() - res.getFirst()) { res.setFirst(l); res.setSecond(r - 1); } } } ++l; } } return res; }