Skip to main content
Chess

Return to Answer

edited body
Source Link
Florian F
Florian F
  • 121
  • 3

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3A2 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. You can detect that case when the sums are equal or when interections you find match the original squares. If not, you are good.

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. You can detect that case when the sums are equal or when interections you find match the original squares. If not, you are good.

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A2 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. You can detect that case when the sums are equal or when interections you find match the original squares. If not, you are good.

added 7 characters in body
Source Link
Florian F
Florian F
  • 121
  • 3

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. Well, You can detect that iscase when the sums are equal or when interections you find match the original squares. If not covered, you are good.

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. Well, that is not covered.

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist.
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. You can detect that case when the sums are equal or when interections you find match the original squares. If not, you are good.

added 7 characters in body
Source Link
Florian F
Florian F
  • 121
  • 3

Sum letter and digit, using a=1A=1, b=2B=2, ...

  • a2A2: 1+2 = 3
  • f3F3: 6+3 = 9

The difference is 6. It is even, so solutionsintersections exist. 
Half of the difference is 3. That is the delta.

To find the 2 solutionsintersections:

  • a3A3 has smaller sum => add 3 (the delta) to 'a'A and to 2. a+3 A+3,2+3 2+3 = d5D5.
  • f3F3 has larger sum => subtract 3 from fF and 3. f F-3, 3-3 = c0C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. Well, that is not covered.

Sum letter and digit, using a=1, b=2, ...

  • a2: 1+2 = 3
  • f3: 6+3 = 9

The difference is 6. It is even, so solutions exist. Half of the difference is 3. That is the delta.

To find the 2 solutions:

  • a3 has smaller sum => add 3 (the delta) to 'a' and to 2. a+3,2+3 = d5.
  • f3 has larger sum => subtract 3 from f and 3. f-3, 3-3 = c0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. Well, that is not covered.

Sum letter and digit, using A=1, B=2, ...

  • A2: 1+2 = 3
  • F3: 6+3 = 9

The difference is 6. It is even, so intersections exist. 
Half of the difference is 3. That is the delta.

To find the 2 intersections:

  • A3 has smaller sum => add 3 (the delta) to A and to 2. A+3, 2+3 = D5.
  • F3 has larger sum => subtract 3 from F and 3. F-3, 3-3 = C0.
    In that case it is outside of the board.

A special case is when both squares share a diagonal. Well, that is not covered.

Source Link
Florian F
Florian F
  • 121
  • 3