Arrange the even numbers 2,4,6 in the natural number into the number table on the right (1) Which row and column is 1992 in the number table? (2) Which row and column is 1918 in the number table? 2 4 6 8 16 14 12 10 18 20 22 24 32 30 28 26 34 36 38 38 40

Arrange the even numbers 2,4,6 in the natural number into the number table on the right (1) Which row and column is 1992 in the number table? (2) Which row and column is 1918 in the number table? 2 4 6 8 16 14 12 10 18 20 22 24 32 30 28 26 34 36 38 38 40


Find the law
Each row has four numbers, the odd row is arranged from small to large, the even row is arranged from large to small, and the corresponding number of each odd (even) row is 16 less than the next odd row
For example, in the first column
18,18 = 2 + 16 in line 3
34,34 = 2 + 16 * 2 in line 5
50,50 = 2 + 16 * 3 in line 7
.
Then n, n = a + 16 * [(k-1) / 2], K is odd (a)
N = a + 16 * [K / 2], K is even (b)
Other columns have similar rules
Then (1) 1992 = 8 + 16 * 124,8 is in the first row and the fourth column, then substituting (a) formula, k = 249, so 1992 is in the fourth column of the first row 249
(2) 1918 = 14 + 16 * 119, 14 is in the second line, then substituting (b) to get k = 238, so 1918 is in the second column of 238
In fact, as long as I find the rules, it's very simple. The process I wrote is a little complicated



The first row, the second row, the third row, the fourth row, the fifth row, the first row, the second row, the third row
First column second column third column fourth column fifth column
First row
Second row 12 14 16 18 20
Third row 22 24 26 28 30
Fourth row 32 34 36 38 40
Row five
Among them, 14 16 26 28 are framed [quadrilateral]
If the sum of the four numbers is 172, what are the four numbers


36, 38, 48, 50



2 4 6 8 16 14 12 10 18 20 22 24 32 30 28 26 34 36 38 40 48 46 44 42
For example: 16 is in the first column of the second row; 38 is in the fourth column of the fifth row; then what is the row and column of 2010?
2 4 6 8
16 14 12 10
18 20 22 24
32 30 28 26
34 36 38 40
48 46 44 42


2010 divided by 2 is 1005. After the first row is removed, cycle every four rows. 1005 minus 1 divided by 4 is 251. Therefore, 2010 is the first row in 252



Here are some even arrays
2 4 6 8 10
12 14 16 18 20
22 24 26 28 30
(1) What's the relationship between the four numbers in the box
(2) If the sum of the four numbers in such a box is 120, find the four numbers
Note: the box is
14 16
24 26


(1) Cross addition and equality (I don't know if this is right, sorry)
(2) Let one number be x, then the other three numbers are x + 2, x + 10 and X + 12
So we have X + 2 + X + 10 + X + 12 + x = 120, and we get x = 24
So the four numbers are 24.26.34.36