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14011029/MergeSort.java

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import java.util.Scanner;
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import java.util.ArrayList;
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class MergeSort {
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public static ArrayList<Integer> mergeSort(ArrayList<Integer> a) {
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int n = a.size();
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if (n <= 1)
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return a;
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ArrayList<Integer> l = new ArrayList<Integer>();
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ArrayList<Integer> r = new ArrayList<Integer>();
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for (int i = 0; i < n / 2; i++)
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l.add(a.get(i));
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for (int i = n / 2; i < n; i++)
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r.add(a.get(i));
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ArrayList<Integer> ls = mergeSort(l);
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ArrayList<Integer> rs = mergeSort(r);
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ArrayList<Integer> ans = new ArrayList<Integer>();
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int i = 0, j = 0;
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while (ans.size() < n) {
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if (i < ls.size() && j < rs.size()) {
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if (ls.get(i) < rs.get(j)) {
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ans.add(ls.get(i));
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i++;
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}
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else {
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ans.add(rs.get(j));
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j++;
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}
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}
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else if (i < ls.size()) {
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ans.add(ls.get(i));
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i++;
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}
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else if (j < rs.size()) {
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ans.add(rs.get(j));
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j++;
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}
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}
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return ans;
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}
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public static void main(String[] args) {
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Scanner stdin = new Scanner(System.in);
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int n = stdin.nextInt();
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ArrayList<Integer> input = new ArrayList<Integer>();
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for (int i = 0; i < n; i++) {
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int t = stdin.nextInt();
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input.add(t);
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}
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ArrayList<Integer> sorted = mergeSort(input);
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for (Integer i: sorted)
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System.out.print(i + " ");
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System.out.println();
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}
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}

14011029/Subsets.java

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import java.util.Scanner;
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import java.util.ArrayList;
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class Subsets {
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public static ArrayList<ArrayList<Integer>> getSubsets(ArrayList<Integer> S) {
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if (S.size() == 0) {
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ArrayList<ArrayList<Integer>> ans = new ArrayList<ArrayList<Integer>>();
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ans.add(new ArrayList<Integer>());
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return ans;
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}
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int x = S.get(0);
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ArrayList<Integer> T = new ArrayList<Integer>();
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for (int i = 1; i < S.size(); i++)
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T.add(S.get(i));
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ArrayList<ArrayList<Integer>> A = getSubsets(T);
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ArrayList<ArrayList<Integer>> B = new ArrayList<ArrayList<Integer>>();
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for (int i = 0; i < A.size(); i++) {
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ArrayList<Integer> Y = A.get(i);
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ArrayList<Integer> Z = new ArrayList<Integer>(Y);
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B.add(Z);
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Y.add(x);
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B.add(Y);
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}
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return B;
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}
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public static void main(String[] args) {
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Scanner stdin = new Scanner(System.in);
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int n = stdin.nextInt();
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ArrayList<Integer> S = new ArrayList<Integer>();
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for (int i = 0; i < n; i++) {
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int t = stdin.nextInt();
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S.add(t);
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}
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ArrayList<ArrayList<Integer>> subsets = getSubsets(S);
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for (ArrayList<Integer> X: subsets) {
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System.out.print("{");
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for (Integer i: X)
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System.out.print(i + ", ");
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System.out.println("}");
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}
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}
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}

14011029/Tiling.java

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import java.util.Scanner;
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class Tiling {
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public static int f(int n) {
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if (n == 1)
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return 2;
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if (n == 2)
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return 7;
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return f(n - 1) + g(n - 1) + f(n - 2) + g(n - 2);
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}
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public static int g(int n) {
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if (n == 0)
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return 1;
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if (n == 1)
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return 3;
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return f(n) + g(n - 1);
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}
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public static void main(String[] args) {
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Scanner stdin = new Scanner(System.in);
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int n = stdin.nextInt();
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System.out.println(f(n));
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}
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}

14011029/notes.pdf

2.95 MB
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14011029/problems.txt

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https://quera.org/problemset/305
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https://quera.org/problemset/12912
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https://quera.org/problemset/643
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https://quera.org/problemset/608
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https://quera.org/problemset/605
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https://quera.org/problemset/9722
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https://quera.org/problemset/604

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