// MECF digital net of base q, with q^T points. If q=p^e the net is represented as net of base p with e-times more columns and rows Reference: Y. Edel, RS-Nets in prepertation // base q nets transformed so that they can be used as if they were DigitalNet // details: an Element "a_i X^i" is represented as binary eq-tuple "a_i" // each "column" c of the GF(q) generator is replaced by the eq columns X^i c // so we have the eq-times numbers of columns and rows as in the GF(q) matrix // Note, the strength remains the GF(q) strength k, but there are many projections have strength in the range k to eq*k // check if everything that involves GF(q) multiplication (e.g. scrambling) gives the desired result 3 // b (base) 15 // numCols 15 // numRows // outDigits= numRows 14348907 // numPoints (=b^{numCols}) 27 // dim // 5 // Stregth, see comment above // in class DigitalNet // genMat[i] should be the i-th number below // 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 1 0 0 0 // 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 0 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 2 1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 0 0 0 0 0 0 0 2 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 0 2 1 0 0 0 0 2 1 2 2 1 0 0 0 0 0 2 1 0 0 0 1 1 1 0 2 1 0 0 0 2 1 2 0 0 0 // 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 0 2 2 1 0 0 0 0 0 0 0 0 0 0 1 1 0 0 2 1 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 2 1 2 0 0 0 2 1 2 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 0 0 0 0 2 2 1 2 1 0 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 0 0 0 1 1 1 0 0 0 1 1 0 2 1 2 0 0 0 2 2 1 0 0 0 0 1 1 1 1 1 0 0 0 2 0 2 0 0 0 // 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 1 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 2 2 1 0 0 0 2 2 1 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 1 1 0 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 0 0 0 0 0 0 0 2 1 1 2 1 2 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 0 0 0 1 1 0 0 0 0 2 0 0 2 2 1 0 0 0 0 1 1 0 0 0 0 2 0 2 0 2 0 0 0 2 1 1 0 0 0 // 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 0 0 0 0 0 0 0 1 2 0 2 1 2 0 0 0 0 0 0 0 0 0 0 1 2 1 1 1 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 2 0 1 0 2 1 0 0 0 0 0 0 0 0 0 2 0 0 2 1 2 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 0 2 0 2 0 0 0 2 0 1 0 0 0 0 1 2 1 1 0 0 0 0 2 0 0 0 0 0 1 2 1 0 1 1 0 0 0 0 2 0 0 0 0 // 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 2 0 0 0 0 0 0 0 0 0 1 1 2 1 1 1 0 0 0 0 0 0 0 0 0 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 2 1 1 0 0 0 2 1 1 0 0 0 0 0 0 2 0 1 0 0 0 2 0 1 0 0 0 0 0 0 0 0 2 2 1 2 0 0 0 0 0 0 0 0 0 1 2 0 1 1 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 0 0 0 0 2 0 0 0 1 0 1 2 1 1 0 0 0 1 2 0 0 0 0 2 2 0 2 0 1 0 0 0 0 1 2 0 0 0 // 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 0 2 2 0 2 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 0 0 2 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 1 2 1 1 1 1 0 0 0 0 0 0 0 0 0 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 0 2 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 0 0 1 2 1 0 0 0 1 0 2 2 0 0 0 0 0 2 2 2 0 0 0 1 0 0 0 2 0 0 0 0 1 1 2 0 0 0 // 8 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 2 0 2 0 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 1 2 0 0 0 0 0 0 0 1 0 1 2 2 1 0 0 0 0 0 0 0 0 0 2 2 0 2 0 2 0 0 0 0 0 0 0 0 0 0 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 1 0 1 0 0 0 2 1 0 0 0 2 0 0 0 2 2 0 0 0 0 0 2 1 1 2 0 0 0 0 0 2 2 0 0 0 // 9 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 2 2 1 0 1 1 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 0 0 0 1 2 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 2 0 0 0 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 1 2 2 2 0 2 0 0 0 0 0 0 0 0 0 1 0 2 1 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 1 2 2 0 0 0 2 2 1 0 1 2 0 0 0 1 0 2 0 0 0 2 0 2 1 2 1 0 0 0 1 0 0 0 0 0 // 10 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 0 0 0 0 0 0 0 0 0 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 1 1 2 0 0 0 1 1 2 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 2 1 0 2 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 1 0 0 0 0 2 1 1 2 2 2 0 0 0 0 0 1 0 0 0 2 0 1 1 1 2 0 0 0 2 1 0 0 0 0 // 11 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 2 0 2 1 1 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 0 1 1 2 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 1 0 1 1 0 0 0 0 0 0 0 0 0 2 1 2 2 1 1 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 0 0 0 2 1 0 0 0 0 0 2 1 0 1 0 0 0 2 1 2 0 0 0 1 2 0 2 2 0 0 0 0 1 1 1 0 0 0 // 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 1 1 0 0 0 0 0 0 0 0 0 1 2 1 2 0 1 0 0 0 0 0 0 0 0 0 2 2 2 2 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 1 2 2 0 0 0 1 2 2 0 0 0 0 0 0 2 2 1 2 1 1 0 0 0 0 0 0 0 0 0 2 0 2 2 0 1 0 0 0 0 0 0 0 0 0 1 1 0 2 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 0 0 0 2 2 1 0 0 0 2 2 2 0 2 2 0 0 0 2 0 2 0 0 0 1 1 2 1 2 2 0 0 0 1 1 0 0 0 0 // 13 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 2 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 0 1 2 2 0 0 0 0 0 0 1 0 2 0 0 0 1 0 2 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 1 2 0 1 0 0 0 0 0 0 0 0 0 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 2 0 1 0 2 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 0 1 1 0 0 0 0 2 2 1 0 2 0 0 0 2 1 1 0 0 0 1 2 2 1 0 0 0 0 0 2 0 1 0 0 0 // 14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 2 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 2 0 0 0 0 0 0 1 0 0 1 0 0 0 0 0 2 0 0 0 // 15 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 2 0 0 0 0 0 0 0 0 0 2 1 2 1 2 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 0 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 1 2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 2 0 0 0 0 0 0 0 0 0 1 2 1 1 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 0 1 0 0 0 1 2 0 0 0 0 2 1 2 2 1 0 0 0 0 0 1 2 0 0 0 1 1 1 0 2 1 0 0 0 1 2 1 0 0 0 // 16 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 2 0 0 0 0 0 0 0 0 0 0 1 1 0 2 1 0 0 0 0 2 1 0 0 0 0 0 0 2 1 2 0 0 0 2 1 2 0 0 0 0 0 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 2 2 2 0 0 2 0 0 0 0 0 0 0 0 0 1 1 2 1 2 0 0 0 0 0 0 0 0 0 0 1 0 1 0 1 2 0 0 0 0 0 0 0 0 0 2 0 2 0 2 1 0 0 0 2 2 2 0 0 0 1 1 0 2 1 2 0 0 0 1 1 2 0 0 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 0 // 17 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 0 2 0 1 0 1 2 0 0 0 0 0 0 0 0 0 2 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 2 0 1 1 1 0 0 0 1 1 1 0 0 0 0 0 0 2 2 1 0 0 0 2 2 1 0 0 0 0 0 0 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 2 2 0 1 2 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 0 0 0 0 0 0 0 0 0 1 2 2 1 2 1 0 0 0 0 0 0 0 0 0 2 0 1 1 1 1 0 0 0 2 2 0 0 0 0 2 0 0 2 2 1 0 0 0 0 2 2 0 0 0 0 2 0 2 0 2 0 0 0 1 2 2 0 0 0 // 18 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 0 0 0 0 0 0 0 0 0 1 2 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 0 0 0 0 0 0 0 0 0 1 2 1 2 0 2 0 0 0 2 0 2 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 1 0 2 0 1 2 0 0 0 0 0 0 0 0 0 1 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 1 0 2 2 2 0 0 0 0 0 0 0 0 0 1 2 0 2 0 2 0 0 0 1 0 2 0 0 0 0 1 2 1 1 0 0 0 0 1 0 0 0 0 0 1 2 1 0 1 1 0 0 0 0 1 0 0 0 0 // 19 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 0 0 0 0 0 0 0 0 0 1 0 1 1 1 2 0 0 0 0 0 0 0 0 0 2 2 0 0 1 1 0 0 0 0 1 1 0 0 0 0 0 0 2 1 1 0 0 0 2 1 1 0 0 0 0 0 0 2 0 1 0 0 0 2 0 1 0 0 0 0 0 0 0 0 1 1 2 1 0 0 0 0 0 0 0 0 0 2 1 0 2 2 2 0 0 0 0 0 0 0 0 0 0 2 1 1 1 2 0 0 0 0 0 0 0 0 0 1 1 2 0 1 1 0 0 0 0 0 1 0 0 0 1 0 1 2 1 1 0 0 0 2 1 0 0 0 0 2 2 0 2 0 1 0 0 0 0 2 1 0 0 0 // 20 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 0 0 0 1 2 2 1 1 2 0 0 0 0 0 0 0 0 0 1 0 2 1 0 1 0 0 0 0 0 0 0 0 0 1 0 0 2 0 1 0 0 0 2 0 1 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 2 1 2 2 2 2 0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 0 0 0 0 0 0 0 0 0 2 2 1 1 0 1 0 0 0 0 0 0 0 0 0 1 2 2 2 0 1 0 0 0 2 1 2 0 0 0 1 0 2 2 0 0 0 0 0 1 1 1 0 0 0 1 0 0 0 2 0 0 0 0 2 2 1 0 0 0 // 21 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 0 0 0 0 0 2 1 0 2 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 0 0 0 2 0 0 0 0 0 0 0 0 0 2 0 0 0 0 0 2 0 0 0 0 0 0 1 2 0 0 0 0 1 2 0 0 0 0 0 0 0 2 0 2 1 1 2 0 0 0 0 0 0 0 0 0 1 1 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 2 0 2 0 0 0 2 1 0 0 0 2 0 0 0 1 1 0 0 0 0 0 2 1 1 2 0 0 0 0 0 1 1 0 0 0 // 22 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 2 2 0 0 0 0 0 0 0 0 0 0 2 2 1 0 2 2 0 0 0 0 0 0 0 0 0 2 0 2 1 2 0 0 0 0 1 2 0 0 0 0 0 0 0 0 1 2 0 0 0 0 1 2 0 0 0 0 0 0 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 2 1 1 1 0 1 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 2 0 0 0 0 0 0 0 0 0 1 1 1 1 2 0 0 0 0 2 1 1 0 0 0 2 2 1 0 1 2 0 0 0 2 0 1 0 0 0 2 0 2 1 2 1 0 0 0 2 0 0 0 0 0 // 23 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 0 1 1 0 2 2 0 0 0 0 0 0 0 0 0 2 1 1 1 2 2 0 0 0 0 0 0 0 0 0 2 0 1 1 2 1 0 0 0 1 2 1 0 0 0 0 0 0 2 2 2 0 0 0 2 2 2 0 0 0 0 0 0 1 1 2 0 0 0 1 1 2 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 0 0 0 2 0 2 2 0 0 0 0 0 0 0 0 0 1 2 0 1 2 2 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 0 2 0 0 0 0 2 1 1 2 2 2 0 0 0 0 0 2 0 0 0 2 0 1 1 1 2 0 0 0 1 2 0 0 0 0 // 24 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 0 0 0 0 0 0 0 0 0 2 0 1 2 2 0 0 0 0 0 0 0 0 0 0 0 2 1 0 2 0 0 0 0 0 0 0 0 0 1 2 0 1 1 2 0 0 0 1 1 2 0 0 0 0 0 0 1 0 1 0 0 0 1 0 1 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 1 2 0 2 2 0 0 0 0 0 0 0 0 0 1 2 1 1 2 2 0 0 0 0 0 0 0 0 0 2 2 2 1 0 2 0 0 0 0 0 0 0 0 0 0 2 0 1 1 2 0 0 0 0 1 2 0 0 0 0 0 2 1 0 1 0 0 0 1 2 1 0 0 0 1 2 0 2 2 0 0 0 0 2 2 2 0 0 0 // 25 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 0 0 0 0 0 0 0 0 0 1 2 1 1 0 2 0 0 0 0 0 0 0 0 0 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 0 0 0 0 2 2 0 0 0 0 0 0 0 0 2 2 0 0 0 0 2 2 0 0 0 0 0 0 1 2 2 0 0 0 1 2 2 0 0 0 0 0 0 1 1 2 1 2 2 0 0 0 0 0 0 0 0 0 1 0 1 1 0 2 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 2 0 0 0 0 1 1 2 0 0 0 2 2 2 0 2 2 0 0 0 1 0 1 0 0 0 1 1 2 1 2 2 0 0 0 2 2 0 0 0 0 // 26 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 2 2 0 0 0 1 2 2 0 0 0 0 0 0 1 0 2 0 0 0 1 0 2 0 0 0 0 0 0 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 2 2 1 0 2 0 0 0 0 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 1 0 2 0 1 0 0 0 0 0 0 0 0 0 0 2 2 0 1 2 2 0 0 0 0 2 2 0 0 0 0 2 2 1 0 2 0 0 0 1 2 2 0 0 0 1 2 2 1 0 0 0 0 0 1 0 2 0 0 0 // 27 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 // end of file