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int minimum(int[] a) { int min = a[0]; for (int i = 1; i < a.length; i++) { if (a[i] < min) { min = a[i]; } } return min; } int mean(int[] a) { double sum=0.0; for (int i = 0; i < a.length; i++) { sum += a[i]; return sum/a.length; } int[] withoutDuplicates(int[] a) { int n = a.length; if (n < 2) { return a; } for (int i = 0; i < n-1; i++) { for (int j = i+1; j < n; j++) { if (a[j] == a[i]) { --n; System.arraycopy(a, j+1, a, j, n-j); --j; } } } int[] aa = new int[n]; System.arraycopy(a, 0, aa, 0, n); return aa; } void reverse(int[] a) { int n = a.length; if (n < 2) { return; } for (int i = 0; i < n/2; i++) { swap(a, i, n-i-1); } } void swap(int[] a, int i, int j) { // swaps a[i] with a[j]: int ai = a[i]; int aj = a[j]; a[i] = aj; a[j] = ai; } Object[] concatenate(Object[] a, Object[] b) { Object[] c = new Object[a.length+b.length]; for (int i = 0; i < a.length; i++) { c[i] = a[i]; } for (int i = 0; i < b.length; i++) { c[i+a.length] = b[i]; }
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return c; }
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void shuffle(Object[] a) { Random random = new Random(); int n = a.length; for (int i = 0; i < n; i++) { ch02.pr10.TestReverse.swap(a,i,random.nextInt(a.length)); } } int[] tally(String s) { int[] frequency = new int[26]; for (int i = 0; i < s.length(); i++) { char ch = Character.toUpperCase(s.charAt(i)); if (Character.isLetter(ch)) { ++frequency[(int)ch - (int)'A']; // count ch } return frequency; } double innerProduct(double[] x, double[] y) { double sum = 0.0; for (int i = 0; i < x.length && i < y.length; i++) sum += x[i]*y[i]; return sum; } double[][] outerProduct(double[] x, double[] y) { double[][] z = new double[x.length][y.length]; for (double xi : x) { for (double yj : y) { z[i][j] = xi*yj; } } return z; } double[][] product(double[][] x, double[][] y) { double[][] z = new double[x.length][y[0].length]; for (int i = 0; i < x.length; i++) { for (int j = 0; j < y[0].length; j++) { double sum = 0.0; for (int k = 0; k < x[0].length; k++) { sum += x[i][k]*y[k][j]; } z[i][j] = sum; } } return z; } double[][] transpose(double[][] x) { double[][] y = new double[x[0].length][x.length]; for (int i = 0; i < x[0].length; i++) { for (int j = 0; j < x.length; j++) { y[i][j] = x[j][i]; } } return y; }
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int[][] pascal(int n) { int[][] p = new int[n][n]; for (int j = 0; j < n; j++) { p[j][0] = p[j][j] = 1; } for (int i = 2; i < n; i++) { for (int j = 1; j < i; j++) { p[i][j] = p[i-1][j-1] + p[i-1][j]; } } return p; } public class TestSieve { private static final int SIZE=1000; private static boolean[] isPrime = new boolean[SIZE]; public static void main(String[] args) { initializeSieve(); printSieve(); } private static void initializeSieve() { for (int i = 2; i < SIZE; i++) { isPrime[i] = true; } for (int n = 2; 2*n < SIZE; n++) { if (isPrime[n]) { for (int m = n; m*n <SIZE; m++) { isPrime[m*n] = false; } } } } private static void printSieve() int n=0; for (int i = 0; i < SIZE; i++) if (isPrime[i]) { System.out.printf("%5d%s", } } System.out.printf("%n%d primes } } { { i, ++n%16==0 "\n":"");
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less than %d%n", n, SIZE);
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public class TestSieve { private static final int SIZE=1000; private static Vector<Boolean> isPrime = new Vector<Boolean>(SIZE); public static void main(String[] args) { initializeSieve(); printSieve(); } private static void initializeSieve() { isPrime.add(false); // 0 is not prime isPrime.add(false); // 1 is not prime for (int i = 2; i < SIZE; i++) { isPrime.add(true); }
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