permutations.java

a molecular graph kernel based on iterative graph similarity and optimal assignments

            {3,1,4,0,2},{3,1,4,0,5},{3,1,4,2,0},{3,1,4,2,5},{3,1,4,5,0},{3,1,4,5,2},{3,1,5,0,2},{3,1,5,0,4},{3,1,5,2,0},{3,1,5,2,4},{3,1,5,4,0},{3,1,5,4,2},
            {3,2,0,1,4},{3,2,0,1,5},{3,2,0,4,1},{3,2,0,4,5},{3,2,0,5,1},{3,2,0,5,4},{3,2,1,0,4},{3,2,1,0,5},{3,2,1,4,0},{3,2,1,4,5},{3,2,1,5,0},{3,2,1,5,4},
            {3,2,4,0,1},{3,2,4,0,5},{3,2,4,1,0},{3,2,4,1,5},{3,2,4,5,0},{3,2,4,5,1},{3,2,5,0,1},{3,2,5,0,4},{3,2,5,1,0},{3,2,5,1,4},{3,2,5,4,0},{3,2,5,4,1},
            {3,4,0,1,2},{3,4,0,1,5},{3,4,0,2,1},{3,4,0,2,5},{3,4,0,5,1},{3,4,0,5,2},{3,4,1,0,2},{3,4,1,0,5},{3,4,1,2,0},{3,4,1,2,5},{3,4,1,5,0},{3,4,1,5,2},
            {3,4,2,0,1},{3,4,2,0,5},{3,4,2,1,0},{3,4,2,1,5},{3,4,2,5,0},{3,4,2,5,1},{3,4,5,0,1},{3,4,5,0,2},{3,4,5,1,0},{3,4,5,1,2},{3,4,5,2,0},{3,4,5,2,1},
            {3,5,0,1,2},{3,5,0,1,4},{3,5,0,2,1},{3,5,0,2,4},{3,5,0,4,1},{3,5,0,4,2},{3,5,1,0,2},{3,5,1,0,4},{3,5,1,2,0},{3,5,1,2,4},{3,5,1,4,0},{3,5,1,4,2},
            {3,5,2,0,1},{3,5,2,0,4},{3,5,2,1,0},{3,5,2,1,4},{3,5,2,4,0},{3,5,2,4,1},{3,5,4,0,1},{3,5,4,0,2},{3,5,4,1,0},{3,5,4,1,2},{3,5,4,2,0},{3,5,4,2,1},
            {4,0,1,2,3},{4,0,1,2,5},{4,0,1,3,2},{4,0,1,3,5},{4,0,1,5,2},{4,0,1,5,3},{4,0,2,1,3},{4,0,2,1,5},{4,0,2,3,1},{4,0,2,3,5},{4,0,2,5,1},{4,0,2,5,3},
            {4,0,3,1,2},{4,0,3,1,5},{4,0,3,2,1},{4,0,3,2,5},{4,0,3,5,1},{4,0,3,5,2},{4,0,5,1,2},{4,0,5,1,3},{4,0,5,2,1},{4,0,5,2,3},{4,0,5,3,1},{4,0,5,3,2},
            {4,1,0,2,3},{4,1,0,2,5},{4,1,0,3,2},{4,1,0,3,5},{4,1,0,5,2},{4,1,0,5,3},{4,1,2,0,3},{4,1,2,0,5},{4,1,2,3,0},{4,1,2,3,5},{4,1,2,5,0},{4,1,2,5,3},
            {4,1,3,0,2},{4,1,3,0,5},{4,1,3,2,0},{4,1,3,2,5},{4,1,3,5,0},{4,1,3,5,2},{4,1,5,0,2},{4,1,5,0,3},{4,1,5,2,0},{4,1,5,2,3},{4,1,5,3,0},{4,1,5,3,2},
            {4,2,0,1,3},{4,2,0,1,5},{4,2,0,3,1},{4,2,0,3,5},{4,2,0,5,1},{4,2,0,5,3},{4,2,1,0,3},{4,2,1,0,5},{4,2,1,3,0},{4,2,1,3,5},{4,2,1,5,0},{4,2,1,5,3},
            {4,2,3,0,1},{4,2,3,0,5},{4,2,3,1,0},{4,2,3,1,5},{4,2,3,5,0},{4,2,3,5,1},{4,2,5,0,1},{4,2,5,0,3},{4,2,5,1,0},{4,2,5,1,3},{4,2,5,3,0},{4,2,5,3,1},
            {4,3,0,1,2},{4,3,0,1,5},{4,3,0,2,1},{4,3,0,2,5},{4,3,0,5,1},{4,3,0,5,2},{4,3,1,0,2},{4,3,1,0,5},{4,3,1,2,0},{4,3,1,2,5},{4,3,1,5,0},{4,3,1,5,2},
            {4,3,2,0,1},{4,3,2,0,5},{4,3,2,1,0},{4,3,2,1,5},{4,3,2,5,0},{4,3,2,5,1},{4,3,5,0,1},{4,3,5,0,2},{4,3,5,1,0},{4,3,5,1,2},{4,3,5,2,0},{4,3,5,2,1},
            {4,5,0,1,2},{4,5,0,1,3},{4,5,0,2,1},{4,5,0,2,3},{4,5,0,3,1},{4,5,0,3,2},{4,5,1,0,2},{4,5,1,0,3},{4,5,1,2,0},{4,5,1,2,3},{4,5,1,3,0},{4,5,1,3,2},
            {4,5,2,0,1},{4,5,2,0,3},{4,5,2,1,0},{4,5,2,1,3},{4,5,2,3,0},{4,5,2,3,1},{4,5,3,0,1},{4,5,3,0,2},{4,5,3,1,0},{4,5,3,1,2},{4,5,3,2,0},{4,5,3,2,1},
            {5,0,1,2,3},{5,0,1,2,4},{5,0,1,3,2},{5,0,1,3,4},{5,0,1,4,2},{5,0,1,4,3},{5,0,2,1,3},{5,0,2,1,4},{5,0,2,3,1},{5,0,2,3,4},{5,0,2,4,1},{5,0,2,4,3},
            {5,0,3,1,2},{5,0,3,1,4},{5,0,3,2,1},{5,0,3,2,4},{5,0,3,4,1},{5,0,3,4,2},{5,0,4,1,2},{5,0,4,1,3},{5,0,4,2,1},{5,0,4,2,3},{5,0,4,3,1},{5,0,4,3,2},
            {5,1,0,2,3},{5,1,0,2,4},{5,1,0,3,2},{5,1,0,3,4},{5,1,0,4,2},{5,1,0,4,3},{5,1,2,0,3},{5,1,2,0,4},{5,1,2,3,0},{5,1,2,3,4},{5,1,2,4,0},{5,1,2,4,3},
            {5,1,3,0,2},{5,1,3,0,4},{5,1,3,2,0},{5,1,3,2,4},{5,1,3,4,0},{5,1,3,4,2},{5,1,4,0,2},{5,1,4,0,3},{5,1,4,2,0},{5,1,4,2,3},{5,1,4,3,0},{5,1,4,3,2},
            {5,2,0,1,3},{5,2,0,1,4},{5,2,0,3,1},{5,2,0,3,4},{5,2,0,4,1},{5,2,0,4,3},{5,2,1,0,3},{5,2,1,0,4},{5,2,1,3,0},{5,2,1,3,4},{5,2,1,4,0},{5,2,1,4,3},
            {5,2,3,0,1},{5,2,3,0,4},{5,2,3,1,0},{5,2,3,1,4},{5,2,3,4,0},{5,2,3,4,1},{5,2,4,0,1},{5,2,4,0,3},{5,2,4,1,0},{5,2,4,1,3},{5,2,4,3,0},{5,2,4,3,1},
            {5,3,0,1,2},{5,3,0,1,4},{5,3,0,2,1},{5,3,0,2,4},{5,3,0,4,1},{5,3,0,4,2},{5,3,1,0,2},{5,3,1,0,4},{5,3,1,2,0},{5,3,1,2,4},{5,3,1,4,0},{5,3,1,4,2},
            {5,3,2,0,1},{5,3,2,0,4},{5,3,2,1,0},{5,3,2,1,4},{5,3,2,4,0},{5,3,2,4,1},{5,3,4,0,1},{5,3,4,0,2},{5,3,4,1,0},{5,3,4,1,2},{5,3,4,2,0},{5,3,4,2,1},
            {5,4,0,1,2},{5,4,0,1,3},{5,4,0,2,1},{5,4,0,2,3},{5,4,0,3,1},{5,4,0,3,2},{5,4,1,0,2},{5,4,1,0,3},{5,4,1,2,0},{5,4,1,2,3},{5,4,1,3,0},{5,4,1,3,2},
            {5,4,2,0,1},{5,4,2,0,3},{5,4,2,1,0},{5,4,2,1,3},{5,4,2,3,0},{5,4,2,3,1},{5,4,3,0,1},{5,4,3,0,2},{5,4,3,1,0},{5,4,3,1,2},{5,4,3,2,0},{5,4,3,2,1} },
          { {0,1,2,3,4,5},{0,1,2,3,5,4},{0,1,2,4,3,5},{0,1,2,4,5,3},{0,1,2,5,3,4},{0,1,2,5,4,3},{0,1,3,2,4,5},{0,1,3,2,5,4},{0,1,3,4,2,5},{0,1,3,4,5,2},
            {0,1,3,5,2,4},{0,1,3,5,4,2},{0,1,4,2,3,5},{0,1,4,2,5,3},{0,1,4,3,2,5},{0,1,4,3,5,2},{0,1,4,5,2,3},{0,1,4,5,3,2},{0,1,5,2,3,4},{0,1,5,2,4,3},
            {0,1,5,3,2,4},{0,1,5,3,4,2},{0,1,5,4,2,3},{0,1,5,4,3,2},{0,2,1,3,4,5},{0,2,1,3,5,4},{0,2,1,4,3,5},{0,2,1,4,5,3},{0,2,1,5,3,4},{0,2,1,5,4,3},
            {0,2,3,1,4,5},{0,2,3,1,5,4},{0,2,3,4,1,5},{0,2,3,4,5,1},{0,2,3,5,1,4},{0,2,3,5,4,1},{0,2,4,1,3,5},{0,2,4,1,5,3},{0,2,4,3,1,5},{0,2,4,3,5,1},
            {0,2,4,5,1,3},{0,2,4,5,3,1},{0,2,5,1,3,4},{0,2,5,1,4,3},{0,2,5,3,1,4},{0,2,5,3,4,1},{0,2,5,4,1,3},{0,2,5,4,3,1},{0,3,1,2,4,5},{0,3,1,2,5,4},
            {0,3,1,4,2,5},{0,3,1,4,5,2},{0,3,1,5,2,4},{0,3,1,5,4,2},{0,3,2,1,4,5},{0,3,2,1,5,4},{0,3,2,4,1,5},{0,3,2,4,5,1},{0,3,2,5,1,4},{0,3,2,5,4,1},
            {0,3,4,1,2,5},{0,3,4,1,5,2},{0,3,4,2,1,5},{0,3,4,2,5,1},{0,3,4,5,1,2},{0,3,4,5,2,1},{0,3,5,1,2,4},{0,3,5,1,4,2},{0,3,5,2,1,4},{0,3,5,2,4,1},
            {0,3,5,4,1,2},{0,3,5,4,2,1},{0,4,1,2,3,5},{0,4,1,2,5,3},{0,4,1,3,2,5},{0,4,1,3,5,2},{0,4,1,5,2,3},{0,4,1,5,3,2},{0,4,2,1,3,5},{0,4,2,1,5,3},
            {0,4,2,3,1,5},{0,4,2,3,5,1},{0,4,2,5,1,3},{0,4,2,5,3,1},{0,4,3,1,2,5},{0,4,3,1,5,2},{0,4,3,2,1,5},{0,4,3,2,5,1},{0,4,3,5,1,2},{0,4,3,5,2,1},
            {0,4,5,1,2,3},{0,4,5,1,3,2},{0,4,5,2,1,3},{0,4,5,2,3,1},{0,4,5,3,1,2},{0,4,5,3,2,1},{0,5,1,2,3,4},{0,5,1,2,4,3},{0,5,1,3,2,4},{0,5,1,3,4,2},
            {0,5,1,4,2,3},{0,5,1,4,3,2},{0,5,2,1,3,4},{0,5,2,1,4,3},{0,5,2,3,1,4},{0,5,2,3,4,1},{0,5,2,4,1,3},{0,5,2,4,3,1},{0,5,3,1,2,4},{0,5,3,1,4,2},
            {0,5,3,2,1,4},{0,5,3,2,4,1},{0,5,3,4,1,2},{0,5,3,4,2,1},{0,5,4,1,2,3},{0,5,4,1,3,2},{0,5,4,2,1,3},{0,5,4,2,3,1},{0,5,4,3,1,2},{0,5,4,3,2,1},
            {1,0,2,3,4,5},{1,0,2,3,5,4},{1,0,2,4,3,5},{1,0,2,4,5,3},{1,0,2,5,3,4},{1,0,2,5,4,3},{1,0,3,2,4,5},{1,0,3,2,5,4},{1,0,3,4,2,5},{1,0,3,4,5,2},
            {1,0,3,5,2,4},{1,0,3,5,4,2},{1,0,4,2,3,5},{1,0,4,2,5,3},{1,0,4,3,2,5},{1,0,4,3,5,2},{1,0,4,5,2,3},{1,0,4,5,3,2},{1,0,5,2,3,4},{1,0,5,2,4,3},
            {1,0,5,3,2,4},{1,0,5,3,4,2},{1,0,5,4,2,3},{1,0,5,4,3,2},{1,2,0,3,4,5},{1,2,0,3,5,4},{1,2,0,4,3,5},{1,2,0,4,5,3},{1,2,0,5,3,4},{1,2,0,5,4,3},
            {1,2,3,0,4,5},{1,2,3,0,5,4},{1,2,3,4,0,5},{1,2,3,4,5,0},{1,2,3,5,0,4},{1,2,3,5,4,0},{1,2,4,0,3,5},{1,2,4,0,5,3},{1,2,4,3,0,5},{1,2,4,3,5,0},
            {1,2,4,5,0,3},{1,2,4,5,3,0},{1,2,5,0,3,4},{1,2,5,0,4,3},{1,2,5,3,0,4},{1,2,5,3,4,0},{1,2,5,4,0,3},{1,2,5,4,3,0},{1,3,0,2,4,5},{1,3,0,2,5,4},
            {1,3,0,4,2,5},{1,3,0,4,5,2},{1,3,0,5,2,4},{1,3,0,5,4,2},{1,3,2,0,4,5},{1,3,2,0,5,4},{1,3,2,4,0,5},{1,3,2,4,5,0},{1,3,2,5,0,4},{1,3,2,5,4,0},
            {1,3,4,0,2,5},{1,3,4,0,5,2},{1,3,4,2,0,5},{1,3,4,2,5,0},{1,3,4,5,0,2},{1,3,4,5,2,0},{1,3,5,0,2,4},{1,3,5,0,4,2},{1,3,5,2,0,4},{1,3,5,2,4,0},
            {1,3,5,4,0,2},{1,3,5,4,2,0},{1,4,0,2,3,5},{1,4,0,2,5,3},{1,4,0,3,2,5},{1,4,0,3,5,2},{1,4,0,5,2,3},{1,4,0,5,3,2},{1,4,2,0,3,5},{1,4,2,0,5,3},
            {1,4,2,3,0,5},{1,4,2,3,5,0},{1,4,2,5,0,3},{1,4,2,5,3,0},{1,4,3,0,2,5},{1,4,3,0,5,2},{1,4,3,2,0,5},{1,4,3,2,5,0},{1,4,3,5,0,2},{1,4,3,5,2,0},
            {1,4,5,0,2,3},{1,4,5,0,3,2},{1,4,5,2,0,3},{1,4,5,2,3,0},{1,4,5,3,0,2},{1,4,5,3,2,0},{1,5,0,2,3,4},{1,5,0,2,4,3},{1,5,0,3,2,4},{1,5,0,3,4,2},
            {1,5,0,4,2,3},{1,5,0,4,3,2},{1,5,2,0,3,4},{1,5,2,0,4,3},{1,5,2,3,0,4},{1,5,2,3,4,0},{1,5,2,4,0,3},{1,5,2,4,3,0},{1,5,3,0,2,4},{1,5,3,0,4,2},
            {1,5,3,2,0,4},{1,5,3,2,4,0},{1,5,3,4,0,2},{1,5,3,4,2,0},{1,5,4,0,2,3},{1,5,4,0,3,2},{1,5,4,2,0,3},{1,5,4,2,3,0},{1,5,4,3,0,2},{1,5,4,3,2,0},
            {2,0,1,3,4,5},{2,0,1,3,5,4},{2,0,1,4,3,5},{2,0,1,4,5,3},{2,0,1,5,3,4},{2,0,1,5,4,3},{2,0,3,1,4,5},{2,0,3,1,5,4},{2,0,3,4,1,5},{2,0,3,4,5,1},
            {2,0,3,5,1,4},{2,0,3,5,4,1},{2,0,4,1,3,5},{2,0,4,1,5,3},{2,0,4,3,1,5},{2,0,4,3,5,1},{2,0,4,5,1,3},{2,0,4,5,3,1},{2,0,5,1,3,4},{2,0,5,1,4,3},
            {2,0,5,3,1,4},{2,0,5,3,4,1},{2,0,5,4,1,3},{2,0,5,4,3,1},{2,1,0,3,4,5},{2,1,0,3,5,4},{2,1,0,4,3,5},{2,1,0,4,5,3},{2,1,0,5,3,4},{2,1,0,5,4,3},
            {2,1,3,0,4,5},{2,1,3,0,5,4},{2,1,3,4,0,5},{2,1,3,4,5,0},{2,1,3,5,0,4},{2,1,3,5,4,0},{2,1,4,0,3,5},{2,1,4,0,5,3},{2,1,4,3,0,5},{2,1,4,3,5,0},
            {2,1,4,5,0,3},{2,1,4,5,3,0},{2,1,5,0,3,4},{2,1,5,0,4,3},{2,1,5,3,0,4},{2,1,5,3,4,0},{2,1,5,4,0,3},{2,1,5,4,3,0},{2,3,0,1,4,5},{2,3,0,1,5,4},
            {2,3,0,4,1,5},{2,3,0,4,5,1},{2,3,0,5,1,4},{2,3,0,5,4,1},{2,3,1,0,4,5},{2,3,1,0,5,4},{2,3,1,4,0,5},{2,3,1,4,5,0},{2,3,1,5,0,4},{2,3,1,5,4,0},
            {2,3,4,0,1,5},{2,3,4,0,5,1},{2,3,4,1,0,5},{2,3,4,1,5,0},{2,3,4,5,0,1},{2,3,4,5,1,0},{2,3,5,0,1,4},{2,3,5,0,4,1},{2,3,5,1,0,4},{2,3,5,1,4,0},
            {2,3,5,4,0,1},{2,3,5,4,1,0},{2,4,0,1,3,5},{2,4,0,1,5,3},{2,4,0,3,1,5},{2,4,0,3,5,1},{2,4,0,5,1,3},{2,4,0,5,3,1},{2,4,1,0,3,5},{2,4,1,0,5,3},
            {2,4,1,3,0,5},{2,4,1,3,5,0},{2,4,1,5,0,3},{2,4,1,5,3,0},{2,4,3,0,1,5},{2,4,3,0,5,1},{2,4,3,1,0,5},{2,4,3,1,5,0},{2,4,3,5,0,1},{2,4,3,5,1,0},
            {2,4,5,0,1,3},{2,4,5,0,3,1},{2,4,5,1,0,3},{2,4,5,1,3,0},{2,4,5,3,0,1},{2,4,5,3,1,0},{2,5,0,1,3,4},{2,5,0,1,4,3},{2,5,0,3,1,4},{2,5,0,3,4,1},
            {2,5,0,4,1,3},{2,5,0,4,3,1},{2,5,1,0,3,4},{2,5,1,0,4,3},{2,5,1,3,0,4},{2,5,1,3,4,0},{2,5,1,4,0,3},{2,5,1,4,3,0},{2,5,3,0,1,4},{2,5,3,0,4,1},
            {2,5,3,1,0,4},{2,5,3,1,4,0},{2,5,3,4,0,1},{2,5,3,4,1,0},{2,5,4,0,1,3},{2,5,4,0,3,1},{2,5,4,1,0,3},{2,5,4,1,3,0},{2,5,4,3,0,1},{2,5,4,3,1,0},
            {3,0,1,2,4,5},{3,0,1,2,5,4},{3,0,1,4,2,5},{3,0,1,4,5,2},{3,0,1,5,2,4},{3,0,1,5,4,2},{3,0,2,1,4,5},{3,0,2,1,5,4},{3,0,2,4,1,5},{3,0,2,4,5,1},
            {3,0,2,5,1,4},{3,0,2,5,4,1},{3,0,4,1,2,5},{3,0,4,1,5,2},{3,0,4,2,1,5},{3,0,4,2,5,1},{3,0,4,5,1,2},{3,0,4,5,2,1},{3,0,5,1,2,4},{3,0,5,1,4,2},
            {3,0,5,2,1,4},{3,0,5,2,4,1},{3,0,5,4,1,2},{3,0,5,4,2,1},{3,1,0,2,4,5},{3,1,0,2,5,4},{3,1,0,4,2,5},{3,1,0,4,5,2},{3,1,0,5,2,4},{3,1,0,5,4,2},
            {3,1,2,0,4,5},{3,1,2,0,5,4},{3,1,2,4,0,5},{3,1,2,4,5,0},{3,1,2,5,0,4},{3,1,2,5,4,0},{3,1,4,0,2,5},{3,1,4,0,5,2},{3,1,4,2,0,5},{3,1,4,2,5,0},
            {3,1,4,5,0,2},{3,1,4,5,2,0},{3,1,5,0,2,4},{3,1,5,0,4,2},{3,1,5,2,0,4},{3,1,5,2,4,0},{3,1,5,4,0,2},{3,1,5,4,2,0},{3,2,0,1,4,5},{3,2,0,1,5,4},
            {3,2,0,4,1,5},{3,2,0,4,5,1},{3,2,0,5,1,4},{3,2,0,5,4,1},{3,2,1,0,4,5},{3,2,1,0,5,4},{3,2,1,4,0,5},{3,2,1,4,5,0},{3,2,1,5,0,4},{3,2,1,5,4,0},
            {3,2,4,0,1,5},{3,2,4,0,5,1},{3,2,4,1,0,5},{3,2,4,1,5,0},{3,2,4,5,0,1},{3,2,4,5,1,0},{3,2,5,0,1,4},{3,2,5,0,4,1},{3,2,5,1,0,4},{3,2,5,1,4,0},
            {3,2,5,4,0,1},{3,2,5,4,1,0},{3,4,0,1,2,5},{3,4,0,1,5,2},{3,4,0,2,1,5},{3,4,0,2,5,1},{3,4,0,5,1,2},{3,4,0,5,2,1},{3,4,1,0,2,5},{3,4,1,0,5,2},
            {3,4,1,2,0,5},{3,4,1,2,5,0},{3,4,1,5,0,2},{3,4,1,5,2,0},{3,4,2,0,1,5},{3,4,2,0,5,1},{3,4,2,1,0,5},{3,4,2,1,5,0},{3,4,2,5,0,1},{3,4,2,5,1,0},
            {3,4,5,0,1,2},{3,4,5,0,2,1},{3,4,5,1,0,2},{3,4,5,1,2,0},{3,4,5,2,0,1},{3,4,5,2,1,0},{3,5,0,1,2,4},{3,5,0,1,4,2},{3,5,0,2,1,4},{3,5,0,2,4,1},
            {3,5,0,4,1,2},{3,5,0,4,2,1},{3,5,1,0,2,4},{3,5,1,0,4,2},{3,5,1,2,0,4},{3,5,1,2,4,0},{3,5,1,4,0,2},{3,5,1,4,2,0},{3,5,2,0,1,4},{3,5,2,0,4,1},
            {3,5,2,1,0,4},{3,5,2,1,4,0},{3,5,2,4,0,1},{3,5,2,4,1,0},{3,5,4,0,1,2},{3,5,4,0,2,1},{3,5,4,1,0,2},{3,5,4,1,2,0},{3,5,4,2,0,1},{3,5,4,2,1,0},
            {4,0,1,2,3,5},{4,0,1,2,5,3},{4,0,1,3,2,5},{4,0,1,3,5,2},{4,0,1,5,2,3},{4,0,1,5,3,2},{4,0,2,1,3,5},{4,0,2,1,5,3},{4,0,2,3,1,5},{4,0,2,3,5,1},
            {4,0,2,5,1,3},{4,0,2,5,3,1},{4,0,3,1,2,5},{4,0,3,1,5,2},{4,0,3,2,1,5},{4,0,3,2,5,1},{4,0,3,5,1,2},{4,0,3,5,2,1},{4,0,5,1,2,3},{4,0,5,1,3,2},
            {4,0,5,2,1,3},{4,0,5,2,3,1},{4,0,5,3,1,2},{4,0,5,3,2,1},{4,1,0,2,3,5},{4,1,0,2,5,3},{4,1,0,3,2,5},{4,1,0,3,5,2},{4,1,0,5,2,3},{4,1,0,5,3,2},
            {4,1,2,0,3,5},{4,1,2,0,5,3},{4,1,2,3,0,5},{4,1,2,3,5,0},{4,1,2,5,0,3},{4,1,2,5,3,0},{4,1,3,0,2,5},{4,1,3,0,5,2},{4,1,3,2,0,5},{4,1,3,2,5,0},
            {4,1,3,5,0,2},{4,1,3,5,2,0},{4,1,5,0,2,3},{4,1,5,0,3,2},{4,1,5,2,0,3},{4,1,5,2,3,0},{4,1,5,3,0,2},{4,1,5,3,2,0},{4,2,0,1,3,5},{4,2,0,1,5,3},
            {4,2,0,3,1,5},{4,2,0,3,5,1},{4,2,0,5,1,3},{4,2,0,5,3,1},{4,2,1,0,3,5},{4,2,1,0,5,3},{4,2,1,3,0,5},{4,2,1,3,5,0},{4,2,1,5,0,3},{4,2,1,5,3,0},
            {4,2,3,0,1,5},{4,2,3,0,5,1},{4,2,3,1,0,5},{4,2,3,1,5,0},{4,2,3,5,0,1},{4,2,3,5,1,0},{4,2,5,0,1,3},{4,2,5,0,3,1},{4,2,5,1,0,3},{4,2,5,1,3,0},
            {4,2,5,3,0,1},{4,2,5,3,1,0},{4,3,0,1,2,5},{4,3,0,1,5,2},{4,3,0,2,1,5},{4,3,0,2,5,1},{4,3,0,5,1,2},{4,3,0,5,2,1},{4,3,1,0,2,5},{4,3,1,0,5,2},
            {4,3,1,2,0,5},{4,3,1,2,5,0},{4,3,1,5,0,2},{4,3,1,5,2,0},{4,3,2,0,1,5},{4,3,2,0,5,1},{4,3,2,1,0,5},{4,3,2,1,5,0},{4,3,2,5,0,1},{4,3,2,5,1,0},
            {4,3,5,0,1,2},{4,3,5,0,2,1},{4,3,5,1,0,2},{4,3,5,1,2,0},{4,3,5,2,0,1},{4,3,5,2,1,0},{4,5,0,1,2,3},{4,5,0,1,3,2},{4,5,0,2,1,3},{4,5,0,2,3,1},
            {4,5,0,3,1,2},{4,5,0,3,2,1},{4,5,1,0,2,3},{4,5,1,0,3,2},{4,5,1,2,0,3},{4,5,1,2,3,0},{4,5,1,3,0,2},{4,5,1,3,2,0},{4,5,2,0,1,3},{4,5,2,0,3,1},
            {4,5,2,1,0,3},{4,5,2,1,3,0},{4,5,2,3,0,1},{4,5,2,3,1,0},{4,5,3,0,1,2},{4,5,3,0,2,1},{4,5,3,1,0,2},{4,5,3,1,2,0},{4,5,3,2,0,1},{4,5,3,2,1,0},
            {5,0,1,2,3,4},{5,0,1,2,4,3},{5,0,1,3,2,4},{5,0,1,3,4,2},{5,0,1,4,2,3},{5,0,1,4,3,2},{5,0,2,1,3,4},{5,0,2,1,4,3},{5,0,2,3,1,4},{5,0,2,3,4,1},
            {5,0,2,4,1,3},{5,0,2,4,3,1},{5,0,3,1,2,4},{5,0,3,1,4,2},{5,0,3,2,1,4},{5,0,3,2,4,1},{5,0,3,4,1,2},{5,0,3,4,2,1},{5,0,4,1,2,3},{5,0,4,1,3,2},
            {5,0,4,2,1,3},{5,0,4,2,3,1},{5,0,4,3,1,2},{5,0,4,3,2,1},{5,1,0,2,3,4},{5,1,0,2,4,3},{5,1,0,3,2,4},{5,1,0,3,4,2},{5,1,0,4,2,3},{5,1,0,4,3,2},
            {5,1,2,0,3,4},{5,1,2,0,4,3},{5,1,2,3,0,4},{5,1,2,3,4,0},{5,1,2,4,0,3},{5,1,2,4,3,0},{5,1,3,0,2,4},{5,1,3,0,4,2},{5,1,3,2,0,4},{5,1,3,2,4,0},
            {5,1,3,4,0,2},{5,1,3,4,2,0},{5,1,4,0,2,3},{5,1,4,0,3,2},{5,1,4,2,0,3},{5,1,4,2,3,0},{5,1,4,3,0,2},{5,1,4,3,2,0},{5,2,0,1,3,4},{5,2,0,1,4,3},
            {5,2,0,3,1,4},{5,2,0,3,4,1},{5,2,0,4,1,3},{5,2,0,4,3,1},{5,2,1,0,3,4},{5,2,1,0,4,3},{5,2,1,3,0,4},{5,2,1,3,4,0},{5,2,1,4,0,3},{5,2,1,4,3,0},
            {5,2,3,0,1,4},{5,2,3,0,4,1},{5,2,3,1,0,4},{5,2,3,1,4,0},{5,2,3,4,0,1},{5,2,3,4,1,0},{5,2,4,0,1,3},{5,2,4,0,3,1},{5,2,4,1,0,3},{5,2,4,1,3,0},
            {5,2,4,3,0,1},{5,2,4,3,1,0},{5,3,0,1,2,4},{5,3,0,1,4,2},{5,3,0,2,1,4},{5,3,0,2,4,1},{5,3,0,4,1,2},{5,3,0,4,2,1},{5,3,1,0,2,4},{5,3,1,0,4,2},
            {5,3,1,2,0,4},{5,3,1,2,4,0},{5,3,1,4,0,2},{5,3,1,4,2,0},{5,3,2,0,1,4},{5,3,2,0,4,1},{5,3,2,1,0,4},{5,3,2,1,4,0},{5,3,2,4,0,1},{5,3,2,4,1,0},
            {5,3,4,0,1,2},{5,3,4,0,2,1},{5,3,4,1,0,2},{5,3,4,1,2,0},{5,3,4,2,0,1},{5,3,4,2,1,0},{5,4,0,1,2,3},{5,4,0,1,3,2},{5,4,0,2,1,3},{5,4,0,2,3,1},
            {5,4,0,3,1,2},{5,4,0,3,2,1},{5,4,1,0,2,3},{5,4,1,0,3,2},{5,4,1,2,0,3},{5,4,1,2,3,0},{5,4,1,3,0,2},{5,4,1,3,2,0},{5,4,2,0,1,3},{5,4,2,0,3,1},
            {5,4,2,1,0,3},{5,4,2,1,3,0},{5,4,2,3,0,1},{5,4,2,3,1,0},{5,4,3,0,1,2},{5,4,3,0,2,1},{5,4,3,1,0,2},{5,4,3,1,2,0},{5,4,3,2,0,1},{5,4,3,2,1,0} }            
        }
	};

    /**
     * Precomputed prefixes of given length of permutations of given length.
     *
     * Generates all length k prefixes of all permutations of {0,1,...,n-1} in lexicographic order.
     * Currently, 0 <= n <= 6.
     * 
     * - If k == 0, an empty matrix is returned.
     * - Once calculated, permutation prefixes are kept across function calls.
     * - There are (n over k)k! = n!/(n-k)! prefixes of length k of permutations of n elements.
     * 
     * @param k  prefix length.
     * @param n  permutation size.
     * @return   all permutations of {0,1,..,n-1} as an array of arrays.
     */
	public static int[][] prefixesPrecomputed(int k, int n) {
		try { return prefixPrecomp[n][k]; } 
		catch(ArrayIndexOutOfBoundsException e) { throw new IllegalArgumentException(String.format("Unsupported argument (%s) for precomputed prefixes", e.getMessage()));	}
	}
    
    /** All functionality is provided via static methods, so there is no need to construct objects of this type. */
    public Permutations() {}
}