import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.stream.Stream;
import java.util.StringTokenizer;
import java.io.IOException;
import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.util.stream.Collectors;
import java.io.InputStream;
/**
* Built using CHelper plug-in
* Actual solution is at the top
*/
public class jed {
public static void main(String[] args) {
InputStream inputStream = System.in;
OutputStream outputStream = System.out;
InputReader in = new InputReader(inputStream);
PrintWriter out = new PrintWriter(outputStream);
Jedynki solver = new Jedynki();
solver.solve(1, in, out);
out.close();
}
static class Jedynki {
private String[] expr = new String[50];
public void solve(int testNumber, InputReader in, PrintWriter out) {
for (int i = 1; i < 50; i++) {
expr[i] = generate_expression(i);
}
int T = in.nextInt();
while (T-- > 0) {
int N = in.nextInt();
out.println(find(N));
}
}
private String find(int n) {
if (n == 1) {
return "1";
}
if (n % 2 == 0) {
int maxPowerOfTwo = findMax(n);
return String.format("(%s*%s)", expr[maxPowerOfTwo], find(n / (1 << maxPowerOfTwo)));
}
return String.format("(1+%s)", find(n - 1));
}
private int findMax(int n) {
int bit = 0;
while (n % 2 == 0) {
bit++;
n /= 2;
}
return bit;
}
private String generate_expression(int factors) {
String term[] = new String[factors];
Arrays.fill(term, "(1+1)");
return Arrays.stream(term).collect(Collectors.joining("*"));
}
}
static class InputReader {
public BufferedReader reader;
public StringTokenizer tokenizer;
public InputReader(InputStream stream) {
reader = new BufferedReader(new InputStreamReader(stream), 32768);
tokenizer = null;
}
public String next() {
while (tokenizer == null || !tokenizer.hasMoreTokens()) {
try {
tokenizer = new StringTokenizer(reader.readLine());
} catch (IOException e) {
throw new RuntimeException(e);
}
}
return tokenizer.nextToken();
}
public int nextInt() {
return Integer.parseInt(next());
}
}
}
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 | import java.io.OutputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.stream.Stream; import java.util.StringTokenizer; import java.io.IOException; import java.io.BufferedReader; import java.io.InputStreamReader; import java.util.stream.Collectors; import java.io.InputStream; /** * Built using CHelper plug-in * Actual solution is at the top */ public class jed { public static void main(String[] args) { InputStream inputStream = System.in; OutputStream outputStream = System.out; InputReader in = new InputReader(inputStream); PrintWriter out = new PrintWriter(outputStream); Jedynki solver = new Jedynki(); solver.solve(1, in, out); out.close(); } static class Jedynki { private String[] expr = new String[50]; public void solve(int testNumber, InputReader in, PrintWriter out) { for (int i = 1; i < 50; i++) { expr[i] = generate_expression(i); } int T = in.nextInt(); while (T-- > 0) { int N = in.nextInt(); out.println(find(N)); } } private String find(int n) { if (n == 1) { return "1"; } if (n % 2 == 0) { int maxPowerOfTwo = findMax(n); return String.format("(%s*%s)", expr[maxPowerOfTwo], find(n / (1 << maxPowerOfTwo))); } return String.format("(1+%s)", find(n - 1)); } private int findMax(int n) { int bit = 0; while (n % 2 == 0) { bit++; n /= 2; } return bit; } private String generate_expression(int factors) { String term[] = new String[factors]; Arrays.fill(term, "(1+1)"); return Arrays.stream(term).collect(Collectors.joining("*")); } } static class InputReader { public BufferedReader reader; public StringTokenizer tokenizer; public InputReader(InputStream stream) { reader = new BufferedReader(new InputStreamReader(stream), 32768); tokenizer = null; } public String next() { while (tokenizer == null || !tokenizer.hasMoreTokens()) { try { tokenizer = new StringTokenizer(reader.readLine()); } catch (IOException e) { throw new RuntimeException(e); } } return tokenizer.nextToken(); } public int nextInt() { return Integer.parseInt(next()); } } } |
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