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
import java.util.ArrayList;
import java.util.List;
import java.util.Scanner;

public class jed {
  private static final int MAX_FACTOR = 7;
  private static List<Integer> primeFactors = new ArrayList<>();
  private static boolean start = true;

  public static void main(String[] args) {
    try (Scanner scanner = new Scanner(System.in)) {
      int t = scanner.nextInt();
      for (int i = 0; i < t; i++) {
        runOnce(scanner);
      }
    }
  }

  private static void runOnce(Scanner scanner) {
    start = true;
    int number = scanner.nextInt();
    if (!checkEasyNumbers(number)) {
      printResult(number);
    }
    System.out.println();
  }

  private static boolean checkEasyNumbers(int number) {
    if (number == 1) {
      System.out.print("1");
      return true;
    }
    if (number == 2) {
      System.out.print("1+1");
      return true;
    }
    if (number == 3) {
      System.out.print("1+1+1");
      return true;
    }
    if (number == 5) {
      System.out.print("1+1+1+1+1");
      return true;
    }
    if (number == 7) {
      System.out.print("1+1+1+1+1+1+1");
      return true;
    }
    return false;
  }

  private static void printResult(int n) {
    while (n % 2 == 0) {
      primeFactors.add(2);
      n /= 2;
    }

    for (int i = 3; i <= MAX_FACTOR; i += 2) {
      while (n % i == 0) {
        primeFactors.add(i);
        n /= i;
      }
    }

    print(primeFactors);
    primeFactors.clear();
    if (n > 1) {
      if (!start) {
        System.out.print("*");
      }
      start = false;
      System.out.print("(");
      printResult(n - 1);
      System.out.print("+1)");
    }
  }

  private static void print(List<Integer> list) {
    for (int i = 0; i < list.size() - 1; i++) {
      printNumber(list.get(i));
      System.out.print("*");
    }
    if (!list.isEmpty()) {
      printNumber(list.get(list.size() - 1));
      start = false;
    }
  }

  private static void printNumber(int number) {
    System.out.print("(");
    for (int i = 1; i < number; i++) {
      System.out.print("1+");
    }
    System.out.print("1)");
  }

}