findModeNumbersRange()

Step 1: Understand the Problem

The task is to write a java function findModeNumbersRange that will find the mode (the most frequently occurring number) in a given range of numbers. The function will take a list of integers as input and will return an integer that is the mode of the numbers in the list.

public int findModeNumbersRange(List<Integer> numbers) {
}

Step 2: Initialize the Variables

We will need a HashMap counts to store the count of each number. We will also need variables mode and maxCount to store the mode and the maximum count, respectively.

public int findModeNumbersRange(List<Integer> numbers) {
    Map<Integer, Integer> counts = new HashMap<>();
    int mode = 0;
    int maxCount = 0;
}

Step 3: Count the Occurrences

For each number in the list, we need to increase its count in the counts map. We can use counts.getOrDefault(number, 0) to get the current count of the number.

public int findModeNumbersRange(List<Integer> numbers) {
    Map<Integer, Integer> counts = new HashMap<>();
    int mode = 0;
    int maxCount = 0;

    for (Integer number : numbers) {
        counts.put(number, counts.getOrDefault(number, 0) + 1);
    }
}

Step 4: Find the Mode

After counting the occurrences, we need to find the number with the maximum count. For each entry in counts, if its value (count) is greater than maxCount, we update mode and maxCount.

public int findModeNumbersRange(List<Integer> numbers) {
    Map<Integer, Integer> counts = new HashMap<>();
    int mode = 0;
    int maxCount = 0;

    for (Integer number : numbers) {
        counts.put(number, counts.getOrDefault(number, 0) + 1);
    }

    for (Map.Entry<Integer, Integer> entry : counts.entrySet()) {
        if (entry.getValue() > maxCount) {
            mode = entry.getKey();
            maxCount = entry.getValue();
        }
    }
}

Step 5: Return the Mode

Finally, we return the mode.

public int findModeNumbersRange(List<Integer> numbers) {
    Map<Integer, Integer> counts = new HashMap<>();
    int mode = 0;
    int maxCount = 0;

    for (Integer number : numbers) {
        counts.put(number, counts.getOrDefault(number, 0) + 1);
    }

    for (Map.Entry<Integer, Integer> entry : counts.entrySet()) {
        if (entry.getValue() > maxCount) {
            mode = entry.getKey();
            maxCount = entry.getValue();
        }
    }

    return mode;
}

In conclusion, this function finds the mode in a list of numbers by counting the occurrences of each number using a HashMap and then finding the number with the maximum count.