I feel the Sodexho card/coupon is unnecessary, wasteful and adds no value to the economy of the country. The Government could as well have given tax exemption for same amount through standard deduction. Effectively through the Sodexho concept the Government is out sourcing the currency printing.
1. Introduction This blog describes two findings related to the structure of the state space graph of the 3×3×3 Rubik cube puzzle. In addition to the above, the method of cube representation and the "direction value mappings" are new. “Rubik cube” here means the 3×3×3 Rubik cube. There are Rubik cubes of other dimensions but they are not discussed here. 2. Background The Rubik cube puzzle has around 4.3×10 19 possible states. Finding the optimal sequence of moves to go to the “Goal state” from a random state is an unsolved problem. (Here the optimality is with respect to the number of moves in the sequence) The Idea: In a graph like the n-dimensional hypercube, it is easy to find the optimal path from one node to another, however large the graph may be, since we know the structure of the graph . Likewise if we know the structure of the state space Graph of the Rubik cube puzzle, we could find optimal solutions to any configu...