第二章代碼以及部分測試樣例

學習過程中敲的代碼,save一下

Recursive.java

import java.util.Scanner;

public class Recursive {
	
	static int tile;
	static int[][] board;
	
	public static void main(String[] args) {
		
		//二分搜索測試
//		int[] a = {1, 2 , 3, 4, 5, 6, 7};
//		System.out.print(binarySearch(a, 6, 7));
//		System.out.println();
		
//		//大整數乘法測試
//		System.out.print(calculateSame(1234, 5678, 4));
//		System.out.println();
		
//		//棋盤覆蓋測試
//		Scanner in = new Scanner(System.in);
//		int a = in.nextInt();
//		in.close();
//		
//		a = (int) Math.pow(2, a);
//		iniBoard(a);
//		chessBoard(0, 0, 3, 3, a);
//		for(int[] i : board) {
//			for(int j : i) {
//				System.out.printf("%3d", j);
//			}
//			System.out.println();
//		}
//		//並歸排序
//		Scanner in = new Scanner(System.in);
//		int n = in.nextInt();
//		in.close();
//		
//		Student[] student = new Student[n];
//		for(int i = 0; i < n; i ++) {
//			Student s = new Student(n - i);
//			student[i] = s;
//		}
//			
//		mergeSort(student);
//		for(Student i: student)
//			System.out.printf("  %d", i.getScore());
//		//快速排序
//		Scanner in = new Scanner(System.in);
//		int n = in.nextInt();
//		in.close();
//		
//		Student[] student = new Student[n];
//		for(int i = 0; i < n; i ++) {
//			Student s = new Student(n - i);
//			student[i] = s;
//		}
			
//		qSort(student, 0, n - 1);
//		for(Student i: student)
//			System.out.printf("  %d", i.getScore());
		
//		randomizedQuickSort(student, 0, n - 1);
//		for(Student i: student)
//			System.out.printf("  %d", i.getScore());
		//randomizedselect
//		Scanner in = new Scanner(System.in);
//		int n = in.nextInt();
//		int m = in.nextInt();
//		in.close();
//		
//		Student[] student = new Student[n];
//		for(int i = 0; i < n; i ++) {
//			Student s = new Student(n - i);
//			student[i] = s;
//		}	
//		System.out.printf("  %d", ((Student) randomizedSelect(student, 0, n - 1, m)).getScore());
//		//冒泡排序
//		Scanner in = new Scanner(System.in);
//		int n = in.nextInt();
//		in.close();
//		
//		Student[] student = new Student[n];
//		for(int i = 0; i < n; i ++) {
//			Student s = new Student(n - i);
//			student[i] = s;
//		}	
//		bubbleSort(student, 0, n - 1);
//		for(Student i: student)
//			System.out.printf("  %d", i.getScore());
//		//select測試
//		Scanner in = new Scanner(System.in);
//		int n = in.nextInt();
//		int m = in.nextInt();
//		in.close();
//		
//		Student[] student = new Student[n];
//		for(int i = 0; i < n; i ++) {
//			Student s = new Student(n - i);
//			student[i] = s;
//		}	
//		System.out.printf("  %d", ((Student) select(student, 0, n - 1, m)).getScore());
		//循環賽測試
		Scanner in = new Scanner(System.in);
		int k = in.nextInt();
		in.close();
		int n = (int) (Math.pow(2, k) + 1);
		int[][] a = new int[n][n];
		table(k, a);
		
		for(int i = 1; i < n; i++) {
			for(int j = 1; j < n; j++)
				System.out.printf("%3d", a[i][j]);
			System.out.println();
		}
		System.out.println("\n\n");
	}
	
	public static void perm(Object[] list, int k, int m) {
		if(k == m) {
			for(int i = 0; i <= m; i++)
				System.out.print(list[i]);
			System.out.println();
		} else {
			for(int i = k; i <= m; i++) {
				swap(list, k, i);
				perm(list, k + 1, m);
				swap(list, k, i);
			}
		}
	}
	
	public static void swap(Object []list, int k, int m) {
		Object temp;
		temp = list[k];
		list[k] = list[m];
		list[m] = temp;
	}
	
	public static int p(int n) {
		return q(n, n);
	}
	
	public static int q(int n, int m) {
		if(n < 1|| m < 1) return 0;
		if((n == 1)||(m == 1)) return 1;
		if(n < m) return q(n, n);
		if(n == m) return 1 + q(n, n - 1);
		return q(n, m - 1) + q(n - m, m);	
	}
	
	public static void hanoi(int n, int a, int b, int c){
		if(n > 0){
			hanoi(n - 1, a, c, b);
			hanoiMove(a, b);
			hanoi(n - 1, c, b, a);
		}
	}
	
	public static void hanoiMove(int a, int b) {
		return;
	}
	
	public static int binarySearch(int[] a, int x, int n) {
		// 在長度爲n的數組a中搜索x
		int left = 0, right = n - 1;
		while(left <= right) {
			int middle = (left + right) / 2;
			if(a[middle] == x) return middle;
			if(a[middle] < x) left = middle + 1;
			else right = middle - 1;
		}
		return -1;
	}
	
	public static long calculateSame(long x, long y, int n) {
		int sign = sign(x) * sign(y);
		x = Math.abs(x);
		y = Math.abs(y);
		
		if( x == 0|| y == 0) return 0;
		if(n == 1)return sign * x * y;
		else {
			double m = Math.pow(10, n / 2);
			long a = (long) (x / m);
			long b = (long) (x % m);
			long c = (long) (y / m);
			long d = (long) (y % m);
			
			long ac = calculateSame(a, c, n / 2);
			long bd = calculateSame(b, d, n / 2);
			long abdc = calculateSame(a - b, d - c, n / 2);
			
			return (long)(sign * (ac * Math.pow(10, n) + (abdc + ac + bd) * m + bd));
		}
	}
	
	public static int sign(long x){
		if(x >= 0) return 1;
		else return -1;
	}
	
	static void iniBoard(int n){
		tile = 1;
		board = new int[n][n];
	}
	
	public static void chessBoard(int tr, int tc, int dr, int dc, int size) {
		if(size == 1)return;
		int t = tile ++,//L型排骨號
			s = size / 2;//分割
		//左上角
		if(dr < tr + s && dc < tc + s)
			//特殊方格在此棋盤中
			chessBoard(tr, tc, dr, dc, s);
		else {
			//覆蓋右下角
			board[tr + s - 1][tc + s - 1] = t;
			//覆蓋其餘
			chessBoard(tr, tc, tr + s - 1, tc + s - 1, s);
		}
		//右上角
		if(dr < tr + s && dc >= tc + s)
			chessBoard(tr, tc + s, dr, dc, s);
		else {
			board[tr + s - 1][tc + s] = t;
			chessBoard(tr, tc + s, tr + s - 1, tc + s, s);
		}		
		//左下角
		if(dr >= tr + s && dc < tc + s)
			chessBoard(tr + s, tc, dr, dc, s);
		else {
			board[tr + s][tc + s - 1] = t;
			chessBoard(tr + s, tc, tr + s, tc + s - 1, s);
		}
		//右下角
		if(dr >= tr + s && dc >= tc + s)
			chessBoard(tr + s, tc + s, dr, dc, s);
		else {
			board[tr + s][tc + s] = t;
			chessBoard(tr + s, tc + s, tr + s, tc + s, s);
		}
	}
	
	public static void mergeSort(Comparable[] a) {
		Comparable[] b = new Comparable[a.length];
		int s = 1;
		while(s < a.length) {
			mergePass(a, b, s);
			s += s;
			mergePass(b, a, s);
			s += s;
		}
	}
	
	public static void mergePass(Comparable[] x, Comparable[] y, int s) {
		//合併大小爲s的相鄰子數組
		int i = 0;
		while(i <= x.length - 2 * s) {
			merge(x, y, i, i + s - 1, i + 2 * s - 1);
			i += 2 * s;
		}
		//設下的元素少於2s
		if(i + s < x.length)
			merge(x, y, i, i + s - 1, x.length - 1);
		else
			for(int j = i;j < x.length; j++)
				y[j] = x[j];
	}
	
	public static void merge(Comparable[] c, Comparable[] d, int l, int m, int r) {
		//合併c[l:m]和c[m+1:r]到d[l:r]
		int i = l,
			j = m + 1,
			k = l;
		while((i <= m)&&(j <= r))
			if(c[i].compareTo(c[j]) <= 0)
				d[k ++] = c[i ++];
			else d[k ++] = c[j ++];
		//具體步驟可通過調試感受
		if(i > m)//判斷哪側數組有剩餘
			//右側剩餘數組移入
			for(int q = j; q <= r; q++)
				d[k ++] = c[q];
		else 
			//左側剩餘數組移入
			for(int q = i; q <= m; q++)
				d[k ++] = c[q];
	}
	
	public static void qSort(Comparable[] arr, int p, int r) {
		if(p < r) {
			int q = partition(arr, p, r);//獲取標誌
			qSort(arr, p, q - 1);//左半邊
			qSort(arr, q + 1, r);//右半邊
		}
	}
	
	public static int partition(Comparable[] arr, int p, int r) {
		int i = p,
			j = r + 1;//-- j
		Comparable  x = arr[p];
		
 		while(true) {
 			while(arr[++ i].compareTo(x) < 0 && i < r);//指針指向比標誌大的位置
 			while(arr[-- j].compareTo(x) > 0);//指針指向比標誌小的位置
 			if(i >= j) break;
  			swap(arr, i, j);//交換位置使小的在前 大的在後
 		}
 		arr[p] = arr[j];//標誌位更新
 		arr[j] = x;
 		return j;//返回新標誌位
	}

	public static int partition(Comparable[] arr, int p, int r, Comparable x) {
		int i = p - 1,
			j = r + 1;//-- j

 		while(true) {
 			while(arr[++ i].compareTo(x) < 0 && i < r);//指針指向比標誌大的位置
 			while(arr[-- j].compareTo(x) > 0);//指針指向比標誌小的位置
 			if(i >= j) break;
 			swap(arr, i, j);//交換位置使小的在前 大的在後
 		}
 		return j;
	}
	
	public static void randomizedQuickSort(Comparable[] arr, int p, int r) {
		if(p < r) {
			int q = randomizedPartition(arr, p, r);//獲取標誌
			randomizedQuickSort(arr, p, q - 1);//左半邊
			randomizedQuickSort(arr, q + 1, r);//右半邊
		}
	}
	
	public static int randomizedPartition(Comparable[] arr, int p, int r) {
		int i = (int) (p + Math.random() * (r - p));
		swap(arr, i, p);
		return partition(arr, p, r);
	}
	

	public static Comparable randomizedSelect(Comparable a[], int p, int r, int k) {
		if(p == r) return a[p];
		int i = randomizedPartition(a, p, r),//數組被劃分成a[p:i]和a[i+1:r] 前者每個元素均小於後者中元素
			j = i - p + 1;//a[p:i]中元素個數
		//當k在a[p:i]中時
		if(k <= j)return randomizedSelect(a, p, i, k);
		//當k在a[i+1:r],改爲尋找第k-j小元素,因爲前j個元素都比第k小元素小
		else return randomizedSelect(a, i + 1, r, k - j);
	}
	
	public static Comparable select(Comparable a[], int p, int r, int k) {
		if(r - p < 5) {
			bubbleSort(a, p, r);
			return a[p + k - 1];
		}
		//將a[p+5*i]至a[p+5*i+4]的第三小元素與a[p+i]交換位置
		//再找中位數的中位數,r-p+4即n-5
		for(int i = 0; i <= (r - p - 4) / 5; i++) {
			int s = p + 5 * i,
				t = s + 4;
			for(int j = 0; j < 3; j++)bubble(a, s, t - j);
			swap(a, p + i, s + 2);
		}
		Comparable  x = select(a, p, p + (r - p - 4) / 5, (r - p + 11) / 10 );
		int i = partition(a, p, r, x),
			j = i - p + 1;
		if(k <= j)return select(a, p, i, k);
		else return select(a, i + 1, r, k - j);		
	}
	
	public static void bubble(Comparable[] a, int p, int r) {
		for(int i = p; i < r; i ++) {
			if(a[i + 1].compareTo(a[i]) < 0) swap(a, i + 1, i);
		}
	}
	
	public static void bubbleSort(Comparable[] a, int p, int r) {
		for(int i = p; i < r; i++)
			for(int j = p; j <= r - i - 1 + p; j++)
				if(a[j + 1].compareTo(a[j]) < 0)swap(a, j, j + 1);
	}
	
	public static class Point{
		double x, y;
		
		public Point(double x, double y) {
			// TODO Auto-generated constructor stub
			this.x = x;
			this.y = y;
		}
	}
	
	public static class Point1 extends Point implements Comparable {
		
		int id;//編號
		
		public Point1(double x, double y, int id) {
			super(x, y);
			this.id = id;
			// TODO Auto-generated constructor stub
		}

		@Override
		public int compareTo(Object o) {
			// TODO Auto-generated method stub
			double ox = ((Point1) o).x;
			if(this.x < ox) return -1;
			if(this.x == ox) return 0;
			return 1;
		}
		
		public boolean equals(Object o) {
			return this.x == ((Point1) o).x;
		}
	}
	
	public static class Point2 extends Point implements Comparable {
		int p; //同一點在數組X中的座標
		
		public Point2(double x, double y, int p){
			super(x, y);
			this.p = p;
			// TODO Auto-generated constructor stub
		}
		
		@Override
		public int compareTo(Object o) {
			double oy = ((Point1) o).y;
			if(this.y < oy) return -1;
			if(this.y == oy) return 0;
			// TODO Auto-generated method stub
			return 1;
		}
		
		public boolean equals(Object o) {
			return this.y == ((Point1) o).y;
		}
	}
	
	public static class Pair {
		Point1 a;
		Point1 b;
		double dist;// a與b間的距離
		
		public Pair(Point1 a, Point1 b, double dist) {
			this.a = a;
			this.b = b;
			this.dist = dist;
			// TODO Auto-generated constructor stub
		}
	}
	
	//計算點u,v之間的距離
	public static double dist(Point u, Point v) {
		double dx = u.x - v.x;
		double dy = u.y - v.y;
		return Math.sqrt(dx * dx + dy * dy);
	}
	
	public static Pair cPair2(Point1 []x) {
		if(x.length < 2) return null;
		
		//依x進行排序
		mergeSort(x);
		
		Point2[] y = new Point2[x.length];
		for(int i = 0; i < x.length; i ++) 
			y[i] = new Point2(x[i].x, x[i].y, i);
		//依y進行排序
		mergeSort(y);
		
		Point2 [] z = new Point2[x.length];
		
		return closedPair(x, y, z, 0, x.length - 1);
	}
	
	//計算最接近點
	private static Pair closedPair(Point1 []x, Point2 []y, Point2 []z, int l, int r) {
		if(r - l == 1) 
			return new Pair(x[l], x[r], dist(x[l], x[r]));
		if(r - 1 == 3) {
			double d1 = dist(x[l], x[l + 1]);
			double d2 = dist(x[r], x[l + 1]);
			double d3 = dist(x[l], x[r]);
			if(d1 <= d2 && d1 <= d3)return new Pair(x[l], x[l + 1], d1);
			if(d2 <= d3)return new Pair(x[r], x[l + 1], d2);
			else return new Pair(x[l], x[r], d3);
		}
		
		//多於三點採用分治法
		
		int m = (l + r) / 2;
		int f = l,
				g = m + 1;
		
		//按x座標大小把點分到兩邊
		for(int i = l; i <= r; i ++)
			if(y[i].p > m) z[g ++] = y[i];
			else z[f ++] = y[i];
		
		//遞歸求解
		Pair best = closedPair(x, y, z, l, m);
		Pair right = closedPair(x, y, z, m + 1, r);
		if(best.dist > right.dist) best = right;
		
		merge(z, y, l, m, r);
		
		//將d矩形條內的點至於z中
		int k = l;
		for(int i = l; i <= r; i ++)
			if(Math.abs(x[m].x - y[i].x) < best.dist)
				z[k ++] = y[i];
		//搜索z[l:k-1]
		for(int i = l; i < k; i ++) {
			for(int j = i + 1; j < k && z[j].y - z[i].y < best.dist; j ++) {
				double dp = dist(z[j], z[i]);
				if(dp < best.dist)
					best = new Pair(x[z[i].p], x[z[j].p], dp);
			}
		}
		
		//樣例太難設置我就不測試了
		return best;
	}
	
	public static void table(int k, int[][] a) {
		int n = (int) Math.pow(2, k);
		for(int i = 1; i <= n; i++) a[1][i] = i;
		int m = 1;//m控制行
		for(int s = 1; s <= k; s ++) {
			n /= 2;
			for(int t = 1; t <= n; t ++)
				for(int i = m + 1; i <= 2 * m; i ++)
					for(int j = m + 1; j <= 2 * m; j ++) {
						a[i][j + (t - 1) * m * 2] = a[i - m][j + (t - 1) * m * 2 - m];
						a[i][j + (t - 1) * m * 2 - m] = a[i - m][j + (t - 1) * m * 2];
					}
			m *= 2;
		}
	}
}

Student.java

package al;

public class Student implements Comparable{

	int score;
	
	public Student(int score) {
		// TODO Auto-generated constructor stub
		this.score = score;
	}
	
	public int getScore() {
		return this.score;
	}
	@Override
	public int compareTo(Object o) {
		// TODO Auto-generated method stub
		
        if(o instanceof Student){
            Student s = (Student) o;
            if(this.getScore()> s.getScore()) return 1;
            else if(this.getScore()< s.getScore()) return -1;
            return 0;
        }
        throw new RuntimeException("類型不對，無法匹配");
	}

}