------
## 最终结论
```python
def numSubseq(nums, target):
    nums.sort()
    MOD = 10**9 + 7
    left, right = 0, len(nums) - 1
    result = 0
    power_of_two = [1] * (len(nums))
    
    for i in range(1, len(nums)):
        power_of_two[i] = (power_of_two[i - 1] * 2) % MOD
    
    while left <= right:
        if nums[left] + nums[right] <= target:
            result = (result + power_of_two[right - left]) % MOD
            left += 1
        else:
            right -= 1
    
    return result

# Example usage:
nums1 = [3,5,6,7]
target1 = 9
print(numSubseq(nums1, target1)) # Output: 4

nums2 = [3,3,6,8]
target2 = 10
print(numSubseq(nums2, target2)) # Output: 6

nums3 = [2,3,3,4,6,7]
target3 = 12
print(numSubseq(nums3, target3)) # Output: 61

nums4 = [5,2,4,1,7,6,8]
target4 = 16
print(numSubseq(nums4, target4)) # Output: 127
```