To complete the grid by placing a digit (1-9) in each empty box following the given conditions, we can approach it systematically:
1. Start by looking at the shaded boxes with numbers (78, 56, 15734, 5, 23, 6, and 33) and see how many digits are needed to make up those numbers.
2. For example, the number 78 needs two digits (7 and 8), and the number 15734 needs five digits (1, 3, 4, 5, and 7).
3. Ensure that in each row, all digits from 1 to 9 are used without repetition.
4. Next, observe the unshaded boxes in each column. Find the sum of the digits in those boxes and compare it to the number in the shaded box of the same column. Adjust the digits in the unshaded boxes accordingly to make the sum equal to the shaded number.
5. Remember that the same digit cannot touch each other even at a single point, so place them accordingly in the boxes.
6. Repeat this process for each column, ensuring the sum in each column matches the shaded number.
By following these steps and keeping the conditions in mind, you can systematically place the digits in the empty boxes to complete the grid correctly.
