Java Boolean wrappers: evaluate == versus equals when constructed from case-varied strings, and compute the final result value.\n\npublic class BoolTest {\n public static void main(String [] args) {\n int result = 0;\n Boolean b1 = new Boolean("TRUE");\n Boolean b2 = new Boolean("true");\n Boolean b3 = new Boolean("tRuE");\n Boolean b4 = new Boolean("false");\n if (b1 == b2) result = 1; // Line 10\n if (b1.equals(b2)) result = result + 10; // Line 12\n if (b2 == b4) result = result + 100; // Line 14\n if (b2.equals(b4)) result = result + 1000; // Line 16\n if (b2.equals(b3)) result = result + 10000; // Line 18\n System.out.println("result = " + result);\n }\n}

Introduction / Context:
This program checks subtle differences between reference equality (==) and value equality (equals) for Boolean wrapper objects created from String inputs, and it demonstrates that the String constructor for Boolean is case-insensitive for the literal "true".

Given Data / Assumptions:

• b1 = new Boolean("TRUE") → value true.
• b2 = new Boolean("true") → value true.
• b3 = new Boolean("tRuE") → value true.
• b4 = new Boolean("false") → value false.
• result starts at 0; increments depend on equality checks.

Concept / Approach:
The Boolean(String) constructor yields true if the string (ignoring case) equals "true"; otherwise false. The operator == compares object references, not contained values, while equals compares the primitive boolean value inside the wrappers.

Step-by-Step Solution:
b1 == b2 → false (distinct objects) → result stays 0. b1.equals(b2) → true (true equals true) → result = 0 + 10 = 10. b2 == b4 → false → no change. b2.equals(b4) → false (true vs false) → no change. b2.equals(b3) → true (true vs true) → result = 10 + 10000 = 10010. Printed string is "result = 10010".

Verification / Alternative check:
Switch to Boolean.valueOf to see interning effects for certain paths; == may still not be reliable across distinct wrapper instances—always prefer equals for value comparison.

Why Other Options Are Wrong:
Values 0/1/10 ignore one or more equals checks; any other sum miscounts the lines that evaluate to true.

Common Pitfalls:
Assuming == compares content for wrappers; forgetting constructor case-insensitivity for "true".

Final Answer:
10010