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Doppelblock (Parquet, Liar) (874)
Instruction:
Place either a block or a number from 1 to X (integers only) into each cell so that each number appears exactly once in each row and each column. (X is two fewer than the number of cells in each row.) Each row and each column will therefore have exactly two cells with blocks in them. The numbers outside the grid indicate the sum of the numbers between the two blocks in that row or column. Some cells may already be filled in for you.
Some cells are of different size and can be in multiple rows and/or columns.
One of the given row sums is incorrect and is either 1 or S off from its correct value. (S is the sum of all numbers from 1 to X.) One of the given column sums is incorrect and is either 1 or S off from its correct value.