2529. Maximum Count of Positive Integer and Negative Integer 

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class Solution {
    public int maximumCount(int[] nums) {
        int negativeCount = findFirstIndex(nums, 0), positiveCount = nums.length - findFirstIndex(nums, 1);
        return Math.max(negativeCount, positiveCount);
    }

    private int findFirstIndex(int[] nums, int target) {
        int left = 0, right = nums.length - 1; // [left, right]
        while (left <= right) {
            int mid = (left + right) >>> 1;
            if (nums[mid] < target) {
                left = mid + 1;
            } else if (nums[mid] > target) {
                right = mid - 1;
            } else {
                right = mid - 1;
            }
        }

        return left;
    }
}

References

2529. Maximum Count of Positive Integer and Negative Integer