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To break down a nested object that may contain null values, you can use a recursive function that checks if the current value is an object/array or a null value. If it is an object/array, the function calls itself with the current value as its parameter, and if it is a null value, it returns an empty object.

Here is an example in JavaScript:

function breakDownNestedObject(obj) {
  // Check if the input is an object and not null
  if (obj && typeof obj === 'object') {
    // Create a new object to store the broken down values
    const newObj = {};

    // Loop through each key-value pair in the object
    for (const [key, value] of Object.entries(obj)) {
      // Call the function recursively with the current value
      newObj[key] = breakDownNestedObject(value);
    }

    return newObj;
  } else {
    // If the input is a null value, return an empty object
    return {};
  }
}

// Example usage
const nestedObj = {
  a: {
    b: {
      c: null,
      d: 123
    }
  },
  e: [null, { f: null, g: 456 }]
};

const brokenDownObj = breakDownNestedObject(nestedObj);
console.log(brokenDownObj);
/*
Output:
{
  "a": {
    "b": {
      "c": {},
      "d": 123
    }
  },
  "e": [
    {},
    {
      "f": {},
      "g": 456
    }
  ]
}
*/

In this example, the function breakDownNestedObject takes an object as its input, and recursively breaks down any nested objects or arrays that may contain null values. If a null value is found, an empty object is returned instead. The resulting broken down object is then returned as the output.