{"simQc":[{"Item":1,"Cat":1,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":1,"Cat":2,"A1":0,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":2,"Cat":1,"A1":0,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":2,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":1,"A5":0},{"Item":3,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":3,"Cat":2,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":4,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":4,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":1,"A5":0},{"Item":5,"Cat":1,"A1":0,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":5,"Cat":2,"A1":0,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":6,"Cat":1,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":6,"Cat":2,"A1":0,"A2":1,"A3":1,"A4":0,"A5":0},{"Item":7,"Cat":1,"A1":0,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":7,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":1,"A5":1},{"Item":8,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":8,"Cat":2,"A1":1,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":9,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":1,"A5":1},{"Item":9,"Cat":2,"A1":0,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":10,"Cat":1,"A1":0,"A2":1,"A3":0,"A4":1,"A5":0},{"Item":10,"Cat":2,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":11,"Cat":1,"A1":1,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":11,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":12,"Cat":1,"A1":1,"A2":1,"A3":1,"A4":0,"A5":0},{"Item":12,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":1,"A5":1},{"Item":13,"Cat":1,"A1":1,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":13,"Cat":2,"A1":0,"A2":0,"A3":1,"A4":1,"A5":1},{"Item":14,"Cat":1,"A1":1,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":14,"Cat":2,"A1":0,"A2":0,"A3":0,"A4":1,"A5":0},{"Item":14,"Cat":3,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":15,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1},{"Item":15,"Cat":2,"A1":0,"A2":0,"A3":1,"A4":1,"A5":0},{"Item":15,"Cat":3,"A1":0,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":16,"Cat":1,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":16,"Cat":2,"A1":0,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":16,"Cat":3,"A1":0,"A2":0,"A3":1,"A4":1,"A5":0},{"Item":17,"Cat":1,"A1":1,"A2":0,"A3":0,"A4":0,"A5":0},{"Item":18,"Cat":1,"A1":0,"A2":1,"A3":0,"A4":0,"A5":0},{"Item":19,"Cat":1,"A1":0,"A2":0,"A3":1,"A4":0,"A5":0},{"Item":20,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":1,"A5":0},{"Item":21,"Cat":1,"A1":0,"A2":0,"A3":0,"A4":0,"A5":1}],"simdat":[[0,2,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1],[1,2,1,0,2,2,1,0,0,1,0,0,1,2,3,1,0,0,1,1,0],[1,0,1,0,0,2,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,2,2,1,0,0,2,1,0,2,0,0,1,0,1,0,1,1],[0,2,1,2,2,0,2,0,2,1,0,2,0,0,0,0,0,1,1,0,1],[0,1,2,0,0,1,0,2,0,2,2,1,0,0,1,1,1,1,0,0,1],[0,0,0,1,0,0,0,1,0,0,0,1,0,1,3,0,1,1,0,0,0],[0,0,1,1,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1],[0,2,0,1,0,0,0,0,0,2,1,0,1,2,0,1,1,1,0,1,0],[2,1,0,0,2,0,0,1,0,0,2,1,1,0,3,3,1,1,0,0,1],[0,0,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0],[1,0,2,1,1,0,0,2,0,2,0,2,0,0,1,3,1,0,0,0,0],[2,0,2,0,2,0,0,0,0,0,0,1,0,2,1,0,0,1,0,1,0],[2,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,1,1,0,0,2,2,0,1,0,0,0,1,1,0,0,0],[0,2,1,1,0,0,1,1,0,0,0,0,0,0,2,0,1,0,0,1,1],[1,0,2,0,1,2,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0],[0,0,2,0,1,1,0,2,0,0,2,0,2,1,1,2,1,1,0,0,1],[0,0,1,1,0,0,0,2,1,1,0,0,0,0,1,0,0,1,0,0,1],[0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0],[0,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,1,0,0,1],[2,0,0,1,0,1,0,1,0,2,1,0,0,0,0,2,1,0,0,1,0],[1,0,0,2,1,1,0,1,1,2,0,0,1,3,1,1,1,1,0,1,1],[1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0],[1,1,0,2,0,1,0,0,0,2,1,0,0,0,0,0,1,1,0,0,0],[2,1,2,0,1,2,2,1,0,0,0,0,0,3,0,1,1,0,1,0,1],[1,1,0,0,2,1,1,0,2,0,2,1,0,1,0,2,1,1,1,0,0],[1,1,2,1,0,1,2,0,2,0,0,1,0,3,2,0,0,0,0,1,1],[1,0,0,1,0,1,0,0,1,0,1,0,1,0,0,1,1,0,0,1,0],[0,1,1,1,2,0,0,1,2,1,0,0,0,0,1,3,0,1,1,0,1],[0,2,0,0,1,1,0,0,0,0,0,0,0,2,2,1,1,1,0,1,1],[0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0,1,1,0,1,0],[2,1,0,0,0,0,0,0,0,0,1,0,0,0,2,1,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0],[0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,1],[0,0,0,0,2,0,1,0,0,2,0,0,0,0,1,0,0,1,0,0,0],[0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0],[0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,1],[2,0,0,0,0,1,0,0,1,0,0,0,1,0,0,2,1,1,0,0,0],[0,1,0,0,2,0,1,0,2,0,2,2,2,0,1,0,1,0,1,0,0],[0,1,1,0,2,0,2,1,2,1,0,1,2,0,1,0,0,1,1,1,1],[1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0],[2,0,1,0,0,2,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1],[2,2,2,0,1,0,1,1,0,0,1,0,0,2,0,1,1,0,1,1,0],[2,0,2,2,1,2,2,0,0,2,1,0,0,3,2,3,1,1,1,1,1],[2,0,0,2,0,1,0,0,0,1,1,0,0,0,0,2,1,1,0,1,0],[0,2,1,0,1,0,1,1,0,0,2,0,1,1,1,0,1,0,0,0,1],[2,0,0,0,2,1,1,0,0,0,2,0,1,0,1,2,1,1,1,0,0],[1,0,0,0,0,0,1,0,1,0,2,1,0,0,0,0,0,1,1,0,0],[0,1,0,0,1,2,1,1,0,1,0,0,0,0,3,0,0,1,1,1,1],[1,0,2,1,2,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1],[0,0,2,1,0,0,2,1,0,1,0,0,0,0,0,0,0,0,0,0,0],[1,2,0,0,1,1,1,1,0,0,0,0,0,0,0,1,1,1,0,1,0],[1,2,0,0,1,0,1,0,0,0,1,0,0,0,2,0,0,0,1,1,0],[1,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0],[0,0,0,0,1,2,0,0,0,1,1,1,0,0,0,2,1,0,1,0,0],[0,2,0,0,1,0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,0],[0,1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,2,2,2,0,0,0,2,1,2,2,0,1,0,1,1,0,0,0,1,1],[1,1,2,0,1,2,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0],[1,0,0,1,1,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0],[2,0,0,1,0,0,0,2,0,2,2,2,0,0,1,1,1,1,0,1,1],[1,0,2,2,0,0,0,2,1,0,2,0,0,0,1,1,1,0,0,1,1],[0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,3,0,1,1,1,0],[0,2,2,2,1,1,2,2,2,0,2,2,0,0,0,0,0,0,1,1,0],[1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[0,2,1,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1],[2,0,2,0,1,1,2,1,1,0,0,0,0,0,1,1,1,0,1,1,1],[0,2,1,2,0,0,0,1,1,1,1,0,0,2,0,0,1,1,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,1,0,0],[2,1,1,0,2,0,2,0,0,2,1,1,1,1,1,2,1,0,1,0,0],[2,2,0,0,1,2,1,0,0,2,0,0,1,2,0,3,1,1,1,1,1],[0,1,0,1,1,2,0,1,2,0,0,0,0,1,1,1,1,0,1,0,1],[1,0,2,2,0,1,2,0,0,0,0,0,0,1,0,0,0,1,1,0,0],[0,2,2,2,2,0,0,1,0,1,2,0,0,0,1,0,1,1,0,1,0],[1,2,0,0,2,1,1,2,0,1,1,1,1,0,0,0,1,1,0,1,0],[2,0,0,0,1,2,1,0,0,0,1,0,0,1,0,0,1,0,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0],[0,2,0,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0],[0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0],[2,0,2,1,0,1,0,0,0,0,1,0,1,0,0,2,0,1,0,1,0],[0,2,2,2,0,2,0,2,1,2,0,0,1,0,3,2,0,1,0,1,1],[1,0,0,0,1,0,1,0,0,0,0,2,0,0,0,1,0,0,0,1,0],[1,2,0,0,1,1,1,1,0,2,0,1,0,1,0,1,1,0,0,0,0],[0,1,2,1,0,2,0,1,1,1,0,0,0,0,1,0,1,1,0,1,1],[0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,1,0],[1,0,1,2,2,0,1,1,0,0,0,1,0,1,3,0,0,1,1,0,1],[0,2,0,0,1,0,2,0,0,1,0,0,0,0,3,1,0,0,1,1,0],[2,2,0,0,0,2,0,2,2,0,1,0,1,3,1,2,1,0,0,1,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0],[0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,1,0,0,1,0,1,0,0,0,0,1,0,1,1,2,1,1,1,0,0],[0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1],[1,2,0,0,2,1,1,0,2,0,0,0,0,0,2,0,1,0,0,1,1],[0,2,2,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,1,1],[1,0,0,2,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,1,1],[0,2,1,2,0,2,1,1,2,1,2,0,0,0,1,0,0,1,1,0,1],[0,2,0,0,2,2,1,0,0,0,0,1,0,2,0,0,0,1,1,1,0],[1,0,0,0,0,1,1,1,1,2,0,1,1,0,1,0,1,0,0,0,0],[0,0,2,1,0,0,1,2,0,0,0,0,0,0,3,1,0,1,0,0,0],[1,0,2,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0],[1,0,0,0,0,1,2,1,0,0,0,0,0,0,1,1,1,0,0,0,1],[1,0,0,0,1,1,2,1,0,0,1,1,0,2,0,0,1,0,1,1,1],[2,2,2,0,0,1,0,2,1,1,2,0,1,0,0,2,1,0,1,1,1],[1,0,2,0,2,0,0,0,1,0,0,2,0,0,0,1,1,0,0,1,1],[0,2,0,1,2,0,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0],[0,0,1,2,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,1],[0,0,0,1,2,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0],[0,2,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0],[0,0,1,0,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,1],[0,0,0,0,0,0,0,0,1,1,0,2,0,3,0,0,1,1,0,1,0],[0,0,2,2,0,0,2,1,2,0,0,2,0,3,0,0,0,0,1,1,1],[2,0,2,1,1,1,0,1,1,0,0,1,0,0,0,3,1,1,0,1,1],[1,1,2,2,1,1,1,2,0,0,0,0,0,0,1,1,1,0,1,0,1],[1,1,2,1,1,1,2,0,0,0,0,0,0,1,1,1,1,0,1,0,1],[0,0,1,2,2,0,2,1,2,1,0,0,0,0,3,0,0,1,0,1,1],[2,0,2,2,0,1,0,2,1,1,2,0,1,1,1,1,0,1,0,1,1],[1,1,0,0,2,2,1,0,0,0,0,0,1,1,0,2,0,1,0,1,0],[0,0,1,2,2,0,2,1,2,0,0,0,0,0,3,0,0,1,1,1,0],[1,0,2,2,0,1,1,2,0,1,1,0,1,0,0,2,1,1,0,1,1],[2,1,1,1,2,0,1,0,0,1,0,0,0,0,3,0,0,1,0,0,1],[2,0,0,2,0,1,0,0,0,0,1,1,1,0,0,0,1,1,1,1,0],[1,0,0,2,1,0,1,0,1,0,1,0,0,2,0,0,0,0,0,0,0],[2,2,1,2,1,0,0,0,0,0,1,1,2,0,1,0,1,0,1,0,1],[1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,1,0,0],[0,2,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,2,0,0,0,1,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0],[2,1,0,1,0,2,1,2,1,0,0,0,0,1,3,0,1,1,0,0,1],[1,2,2,0,1,1,1,1,0,2,0,0,2,0,2,2,1,0,0,0,0],[0,2,1,0,1,0,2,0,2,0,0,0,2,3,3,0,1,0,1,1,1],[1,0,1,1,1,1,1,1,1,2,0,1,0,0,0,0,1,0,0,0,0],[1,2,0,0,0,1,2,0,0,2,1,1,1,0,0,1,1,1,1,1,1],[1,0,0,0,2,2,0,0,0,0,0,1,0,0,0,1,1,1,0,1,1],[0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0],[1,0,2,2,0,1,0,2,1,2,2,2,2,0,1,2,1,1,1,1,1],[0,0,1,0,0,0,0,0,2,1,1,0,0,0,1,0,0,0,0,1,1],[1,1,2,0,1,1,1,0,1,0,0,0,0,2,3,3,1,0,1,0,0],[0,0,1,1,0,1,1,2,0,0,2,0,0,0,0,1,0,1,0,0,0],[1,0,1,1,0,1,0,1,0,2,0,1,0,0,1,1,1,0,0,0,1],[2,0,2,2,2,1,0,2,0,0,1,0,2,0,1,3,1,1,0,1,1],[2,2,0,0,2,1,2,1,0,1,1,0,1,0,1,1,1,1,0,1,0],[0,2,0,0,2,1,0,0,0,0,1,2,1,0,0,1,1,1,1,0,0],[0,0,2,2,0,0,0,0,2,1,0,2,2,3,0,3,0,1,1,1,1],[0,2,0,0,2,1,1,0,0,0,0,1,0,2,0,3,1,0,1,1,0],[0,0,0,2,1,1,0,1,1,0,0,0,0,0,1,0,1,0,0,1,1],[1,1,1,2,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,1,1],[1,0,0,1,0,1,0,0,1,2,2,0,1,0,0,0,1,1,0,1,1],[1,0,1,1,1,1,0,1,1,2,0,0,0,0,0,1,1,0,0,0,0],[1,0,2,1,0,0,1,0,0,0,1,0,1,0,1,0,1,0,1,0,1],[0,0,1,1,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,1,0,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1],[1,0,2,1,0,0,1,2,1,0,2,0,0,0,1,2,1,1,0,0,1],[1,0,0,1,1,1,0,1,1,0,0,0,1,0,1,0,0,0,0,0,1],[0,0,0,2,0,2,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0],[2,0,2,0,2,2,1,2,0,0,2,1,1,1,1,2,1,1,1,0,1],[1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,2,1,0,0,0,1],[1,1,0,0,0,2,1,0,2,0,0,0,0,0,0,0,1,1,0,0,0],[2,1,1,2,1,1,1,1,0,1,0,0,2,0,1,0,0,0,1,0,1],[1,0,2,1,1,0,2,0,0,0,0,1,0,0,0,0,0,0,1,1,0],[0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,0,1,0,1,0],[1,0,2,2,2,1,0,2,1,0,0,2,1,0,1,1,1,0,0,1,1],[1,2,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,1,0,1,0],[1,0,0,0,0,0,0,0,2,0,0,0,0,2,1,1,1,0,0,0,0],[0,2,1,0,2,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0],[0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,0,1,1,1,0,0],[1,2,2,0,0,0,0,1,1,0,0,2,0,3,1,0,1,0,1,0,1],[0,0,0,2,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1],[2,0,0,2,0,2,0,2,1,2,1,0,2,2,0,1,1,1,1,0,0],[1,2,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,0,1,1,0],[1,2,2,0,2,2,0,0,0,0,0,1,0,2,2,1,1,1,1,1,1],[2,0,1,2,0,0,0,1,1,1,0,1,0,3,1,0,1,1,0,1,0],[0,0,2,2,2,2,2,0,0,2,2,0,1,3,2,3,1,1,1,0,0],[0,1,0,1,1,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,1],[0,0,2,0,1,2,0,0,0,0,0,0,1,3,0,1,1,0,1,0,0],[1,1,2,1,1,1,1,1,0,0,0,0,0,2,1,1,1,0,1,0,1],[1,0,0,0,2,1,0,2,0,1,0,2,0,3,0,2,1,0,0,1,0],[0,0,0,2,0,0,0,2,0,1,0,1,1,0,1,0,0,0,0,1,0],[2,2,2,0,0,2,1,1,0,0,2,1,0,0,3,2,1,1,1,0,1],[1,0,0,2,1,2,1,2,0,0,0,0,0,0,1,1,1,0,1,0,1],[2,0,2,0,0,1,0,2,1,0,2,0,1,0,1,3,1,1,0,0,1],[2,1,0,0,2,2,1,0,0,2,2,1,1,1,1,2,1,0,1,1,1],[0,0,0,2,2,0,1,0,0,2,1,1,0,0,0,0,0,1,0,0,1],[0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[1,0,1,2,1,0,0,2,0,0,0,0,0,0,2,0,0,1,1,1,1],[0,2,1,2,0,0,2,1,1,0,0,0,0,0,3,0,0,1,1,1,1],[2,0,2,2,2,1,2,1,0,2,1,0,1,3,3,0,0,1,0,1,1],[0,0,0,0,2,0,1,0,0,1,0,2,2,0,0,0,0,1,1,1,1],[2,1,0,0,2,0,1,0,2,1,0,1,0,0,0,2,1,1,1,0,0],[1,1,2,1,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,1,0],[0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,3,0,0,0,0,0],[0,2,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0],[0,0,1,0,1,0,0,0,0,0,0,0,0,0,2,1,0,0,1,0,0],[2,0,0,0,0,1,0,0,0,2,2,0,1,2,0,1,1,1,0,1,0],[0,2,0,0,2,0,2,1,1,1,2,0,0,0,0,0,0,1,1,1,1],[2,1,2,2,0,2,1,2,0,0,2,1,1,1,1,0,1,1,0,1,1],[2,2,0,2,0,0,0,1,0,0,2,0,0,0,3,1,1,1,1,0,1],[0,0,2,1,0,0,0,1,0,0,2,0,0,3,3,0,0,1,0,0,0],[2,0,0,0,0,2,0,2,0,0,0,0,2,0,0,3,1,1,0,0,0],[0,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,1],[1,0,2,2,0,1,2,0,0,2,0,2,2,2,0,3,1,1,1,1,1],[0,2,2,0,1,1,2,1,2,0,0,0,2,3,2,1,1,0,1,1,0],[1,2,0,0,2,0,0,0,1,2,2,0,1,0,0,0,1,1,0,1,0],[0,2,0,0,2,0,1,0,2,0,0,0,1,0,0,0,0,1,1,0,1],[0,0,0,0,0,0,0,0,1,1,0,0,0,3,1,0,0,1,1,1,0],[1,0,0,1,0,0,0,2,0,0,0,0,0,1,0,0,1,1,0,0,1],[0,0,2,0,2,1,1,2,0,2,2,0,0,1,1,3,1,1,0,1,1],[2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0],[0,0,2,1,2,1,0,0,2,2,2,0,2,0,1,2,1,1,1,0,0],[0,2,1,1,2,2,0,1,2,0,0,0,0,0,2,0,0,1,1,1,1],[0,0,0,0,0,0,0,0,0,0,1,0,2,0,1,2,0,1,0,0,0],[0,1,0,0,0,0,0,0,0,0,2,2,1,1,0,3,1,1,1,0,0],[2,0,0,1,0,0,0,1,1,1,0,0,0,2,3,0,0,1,0,1,1],[2,0,2,0,2,2,1,0,0,0,1,1,1,2,0,3,1,0,1,1,0],[0,0,0,0,0,0,0,0,2,0,0,1,1,0,0,0,0,1,1,0,0],[2,0,0,0,2,2,0,0,0,1,1,0,1,0,0,0,0,1,1,1,0],[0,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,1,1,1,2,0,2,1,0,0,0,0,1,1,0,0,0,0,1,0,1],[2,1,0,1,0,1,1,1,2,0,2,0,1,0,1,1,1,0,1,0,1],[1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1],[1,2,0,0,0,0,0,0,1,0,0,2,0,2,0,1,1,0,1,1,0],[0,0,0,0,0,0,1,0,1,0,0,0,2,0,0,2,0,1,0,0,0],[1,2,0,0,2,2,1,0,0,2,2,1,1,1,0,0,0,1,1,1,0],[2,0,0,1,1,1,0,2,0,0,1,2,0,0,1,0,0,0,0,1,1],[1,0,1,2,0,1,2,1,0,0,0,0,0,1,1,1,0,1,0,0,0],[0,0,2,1,0,0,0,1,0,1,0,0,0,1,1,2,0,0,0,1,1],[1,0,0,0,0,1,0,1,0,2,1,0,1,2,0,1,1,1,0,1,0],[2,0,2,1,2,0,0,1,0,2,2,0,0,0,0,0,1,0,0,0,1],[0,2,0,0,1,0,1,0,0,1,0,0,1,2,0,0,1,0,1,1,0],[1,2,2,2,2,0,2,1,2,0,0,2,0,0,0,1,1,0,0,1,1],[1,0,2,2,0,2,2,2,0,2,2,0,1,2,3,1,0,1,0,1,1],[0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1],[0,1,0,0,2,1,0,0,2,0,0,0,0,1,0,1,1,0,0,0,0],[0,2,2,0,2,2,1,0,0,2,0,2,1,2,0,3,1,1,1,1,0],[0,2,0,0,0,0,0,1,2,2,0,0,2,3,2,1,0,1,1,1,1],[1,0,2,2,1,1,0,1,1,0,0,2,0,0,1,2,1,0,0,1,1],[0,2,1,2,1,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,1],[0,0,1,1,0,0,1,2,0,0,1,0,0,0,0,0,0,0,1,1,0],[0,2,0,2,2,1,2,0,2,0,2,0,0,1,0,0,0,0,0,0,1],[0,0,0,0,0,1,0,0,1,2,1,0,0,2,1,3,1,1,0,1,0],[0,2,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1],[0,0,1,1,1,0,0,1,1,2,1,0,0,0,1,3,0,1,0,0,0],[1,2,0,0,0,1,0,0,0,2,2,0,1,3,0,2,1,1,1,1,0],[2,1,2,1,0,1,2,0,0,2,2,0,0,0,1,1,1,1,0,1,1],[0,0,0,0,0,1,2,0,1,2,0,0,1,0,1,1,1,0,0,1,0],[0,2,1,2,2,0,1,1,2,1,2,0,2,0,3,0,1,0,1,1,1],[0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,1,0,0,2,2,1,1,0,2,0,0,1,1,1,3,1,1,1,0,0],[0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0],[2,0,0,1,0,1,0,2,0,0,1,1,2,0,1,1,1,0,0,0,0],[0,2,0,0,1,0,2,0,2,1,0,0,0,0,0,0,0,0,1,0,0],[0,2,2,2,0,2,0,0,2,1,2,2,2,1,3,1,1,1,1,0,1],[0,0,0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0],[2,2,0,0,2,0,1,2,2,2,1,1,1,3,0,2,1,1,1,1,0],[0,1,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,1,1,1],[1,0,0,0,1,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,0],[0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,1,1,0,1,0,0],[0,0,0,2,0,1,0,1,1,2,2,0,2,0,0,1,1,1,0,0,1],[0,0,0,2,2,0,0,0,0,2,0,1,0,0,1,2,0,1,0,1,0],[0,0,1,0,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,0,0],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0],[0,1,2,2,1,1,2,0,2,0,2,0,0,3,2,1,1,1,1,1,1],[0,2,1,2,1,0,1,1,2,1,0,0,0,0,0,0,0,0,0,1,1],[0,0,2,2,0,0,0,2,0,2,0,0,1,0,0,2,1,1,0,0,1],[0,1,0,2,0,2,1,0,0,2,2,1,0,0,0,2,1,1,1,0,0],[0,2,1,2,1,0,1,0,0,2,0,0,0,0,0,0,0,1,1,1,1],[0,2,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[0,1,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0,0,0,1],[2,0,2,0,0,1,0,2,2,2,1,0,0,0,1,2,1,1,0,1,1],[0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0],[2,2,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0],[0,0,0,0,1,0,1,2,0,0,0,0,1,0,0,0,0,0,1,0,1],[2,0,2,1,0,0,0,0,0,2,1,0,0,0,1,2,0,1,0,1,0],[0,0,1,2,0,0,1,1,0,0,0,0,0,0,3,0,0,0,0,0,1],[0,2,0,0,1,2,0,0,0,0,0,2,0,2,1,0,0,1,1,1,0],[1,1,2,1,0,1,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1],[2,2,2,2,2,2,2,1,2,2,2,2,2,0,0,0,1,0,1,0,1],[1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0],[0,2,0,0,1,0,0,0,0,1,0,0,0,2,0,0,0,1,1,1,0],[0,2,0,0,2,0,1,0,0,1,0,0,0,0,0,3,0,0,1,0,1],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,2,0,2,0,0,0,1,0,0,0],[0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1],[1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0],[2,1,2,1,2,2,1,2,2,0,2,2,1,0,0,3,1,1,1,0,1],[0,1,0,0,0,0,2,0,2,0,0,0,0,1,0,2,0,0,1,0,0],[0,2,0,0,1,2,0,0,0,2,0,2,0,0,0,1,1,0,0,1,0],[0,2,1,2,1,0,0,1,1,1,2,0,0,0,1,0,0,0,1,0,0],[0,0,2,0,1,1,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1],[0,1,1,2,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1],[2,0,2,2,0,1,1,1,1,1,1,0,1,2,1,0,1,1,0,1,1],[0,0,2,0,1,0,2,1,2,0,0,0,0,0,2,0,1,0,0,1,1],[0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0],[2,0,0,2,0,2,1,0,0,0,1,0,0,3,0,2,1,1,0,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,0,1,0],[0,0,1,2,0,0,0,1,1,0,2,2,0,0,1,1,1,0,0,1,1],[2,2,0,0,1,2,1,2,0,0,0,1,0,0,0,1,1,0,0,1,1],[1,0,2,1,0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,1],[0,0,1,1,2,0,0,0,1,2,0,0,0,0,2,0,0,1,0,1,0],[0,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1],[2,0,1,1,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1],[0,1,0,0,2,0,0,1,2,1,0,0,1,0,0,0,1,1,1,1,1],[2,2,0,0,1,1,1,0,0,2,1,0,2,0,1,3,1,1,0,1,0],[0,1,0,1,2,2,1,1,0,0,1,1,1,1,1,3,0,1,1,0,1],[0,0,2,1,1,2,1,2,0,1,0,0,1,0,0,0,0,0,1,0,0],[0,0,2,2,0,1,0,2,0,0,0,0,1,0,0,2,1,1,0,0,1],[2,0,0,0,2,1,0,1,0,0,1,0,1,0,0,2,1,0,0,1,0],[0,0,0,0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1],[2,0,1,1,2,0,0,1,2,0,1,0,0,0,0,0,0,1,1,0,1],[1,2,0,1,0,0,1,1,0,0,0,0,0,2,3,0,0,1,0,1,0],[1,0,0,1,0,1,0,1,0,0,2,2,1,0,1,1,1,0,1,0,0],[1,0,1,2,1,2,0,0,0,0,0,0,0,1,2,2,1,0,1,0,1],[2,2,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,1,0,0,2,2,0,0,2,0,2,2,1,1,0,2,1,1,1,0,0],[2,1,1,1,0,1,2,1,0,1,0,0,1,0,1,0,0,1,0,1,1],[0,1,1,0,1,0,0,0,0,0,1,0,1,0,2,0,0,0,1,1,0],[1,0,1,1,1,0,1,1,1,0,0,1,0,0,1,0,0,0,0,0,1],[0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0],[0,0,1,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0],[2,2,2,0,0,2,0,2,2,0,1,0,2,0,0,3,1,1,1,1,1],[0,0,1,2,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0],[2,1,0,0,2,1,1,0,2,0,1,1,1,1,3,2,1,1,1,0,1],[0,0,1,0,0,0,0,0,2,1,1,0,0,3,0,0,0,1,0,1,1],[2,1,1,2,2,0,2,0,0,0,1,0,1,0,0,0,0,1,1,0,0],[2,0,1,2,0,0,2,1,0,2,2,0,0,0,1,0,1,1,1,1,0],[1,1,2,0,1,1,1,0,0,0,1,1,1,1,1,1,1,0,1,0,0],[2,2,2,1,1,2,2,2,2,1,2,2,2,3,0,3,1,1,1,1,0],[1,0,2,0,2,1,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,0,2,2,1,0,2,1,2,0,0,0,0,0,2,0,1,0,1,1,1],[0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,0],[0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0],[0,0,1,1,0,0,0,1,1,1,2,2,0,0,1,0,0,1,0,1,1],[0,2,0,2,1,2,1,0,2,0,0,0,0,0,0,0,0,1,1,1,0],[0,0,1,2,0,0,0,1,0,0,0,1,0,0,2,0,1,0,0,0,1],[2,2,2,0,1,1,2,0,0,0,0,1,0,2,0,0,0,1,1,1,0],[2,2,0,0,0,1,0,0,0,0,1,0,2,0,0,3,1,1,1,1,0],[2,0,2,2,0,1,0,2,1,2,2,0,2,0,3,1,1,1,0,1,1],[0,0,0,1,1,1,0,0,0,0,0,0,0,3,0,0,1,0,1,1,0],[0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0],[0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0],[1,2,2,2,1,1,0,1,1,1,0,1,0,0,2,1,0,0,0,1,1],[2,2,0,2,2,2,0,0,2,1,2,0,0,0,1,0,1,1,1,1,1],[0,0,1,2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,1,0],[0,1,2,1,1,2,0,2,0,0,2,2,1,1,3,2,0,1,1,0,0],[0,0,0,0,0,1,2,0,0,2,1,0,1,0,1,2,1,0,0,0,0],[0,1,2,1,0,0,0,0,2,0,0,0,0,1,0,0,0,0,1,1,1],[0,1,1,1,1,0,0,1,0,0,0,0,0,0,2,0,0,1,1,1,1],[0,0,1,2,1,0,0,0,0,2,2,0,0,0,1,0,1,1,0,1,1],[1,2,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0],[0,0,0,2,0,0,0,1,0,2,0,0,0,0,1,0,0,0,0,1,1],[1,0,0,0,0,2,2,0,1,0,0,0,0,0,1,1,0,0,1,1,1],[0,1,2,2,2,2,2,1,0,2,0,0,2,2,3,2,1,0,1,0,1],[0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,1,0,0],[1,2,2,1,2,0,1,2,0,0,0,1,1,0,1,1,1,0,0,1,0],[0,1,0,1,2,2,2,1,0,0,0,1,1,0,1,0,0,1,1,0,1],[0,0,1,1,2,1,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,2,2,2,1,2,2,0,0,0,2,0,0,3,0,2,0,0,1,1,1],[2,2,0,0,2,1,1,0,2,2,2,1,1,3,3,0,1,1,1,0,1],[1,2,2,2,0,0,2,1,2,1,0,2,2,2,2,1,1,1,1,1,1],[1,1,0,1,1,0,1,2,0,1,2,0,0,1,3,0,0,0,1,0,1],[0,1,1,1,1,0,2,1,2,2,0,0,0,0,0,0,1,0,1,0,1],[1,0,2,0,0,1,0,1,1,0,0,0,0,0,1,1,1,0,0,1,1],[2,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1],[0,1,0,0,2,2,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0],[1,1,2,0,0,0,1,2,0,0,1,0,1,0,0,1,1,1,1,0,0],[1,2,1,1,0,0,1,2,0,0,0,1,1,0,0,0,1,0,1,0,1],[0,0,0,0,0,2,0,0,1,2,1,0,2,0,1,1,1,1,1,0,0],[1,0,0,1,2,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0,1],[0,1,0,0,0,2,1,0,0,0,1,1,1,1,0,0,1,1,0,0,1],[2,0,0,2,0,1,0,0,0,2,0,0,1,0,0,2,0,1,0,1,0],[1,0,2,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,0,1,0],[2,0,0,1,2,0,2,1,2,2,0,0,1,1,1,0,0,0,0,0,1],[0,2,0,0,0,0,0,0,1,1,0,1,0,0,1,0,0,0,1,1,1],[0,0,0,2,0,0,1,1,0,0,2,0,0,0,1,0,0,0,0,0,1],[1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0],[2,0,2,0,0,2,0,0,1,2,1,0,2,0,0,2,1,1,0,1,0],[1,1,2,1,2,2,1,2,0,0,2,1,0,1,1,2,1,0,1,0,1],[0,0,0,2,0,2,2,2,2,1,0,2,2,0,3,3,1,1,1,1,0],[1,0,2,2,1,1,1,1,2,0,0,2,0,3,2,0,0,0,1,1,1],[1,0,0,0,0,1,0,2,0,0,0,0,0,0,0,2,1,0,1,1,0],[2,0,0,0,0,1,0,0,0,2,1,0,0,0,0,2,1,1,0,0,0],[0,2,2,0,1,1,1,2,0,0,0,0,0,0,0,1,1,1,1,1,0],[2,2,0,0,1,2,1,0,0,2,1,0,2,0,3,2,1,1,1,1,0],[0,2,1,0,1,1,2,1,1,0,0,0,0,3,2,1,1,0,1,1,1],[1,0,0,0,1,1,0,0,0,0,0,1,0,2,0,1,1,1,0,1,1],[2,2,2,0,2,2,2,0,0,0,2,1,1,1,0,0,1,1,1,0,0],[0,2,0,1,1,0,1,0,0,1,0,0,0,3,0,0,0,0,1,0,1],[2,2,1,2,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,1],[0,0,1,1,0,0,0,0,0,0,0,0,1,1,1,0,1,0,1,0,1],[0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,1],[2,0,0,0,0,2,0,2,0,0,1,0,1,0,0,1,1,0,0,0,0],[0,1,2,1,1,0,1,0,0,0,2,0,0,0,1,0,0,1,1,1,0],[0,0,1,1,0,2,0,1,1,1,0,0,0,0,1,2,0,1,0,1,1],[0,0,1,2,0,0,0,0,1,1,0,2,0,0,1,0,0,1,1,0,0],[1,0,0,0,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0],[0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,1,0,0,2,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,0],[2,2,0,0,2,1,0,1,2,2,2,2,2,1,3,0,1,1,1,1,0],[1,2,0,2,1,1,0,0,2,0,0,0,0,1,0,1,1,1,1,1,0],[2,1,0,1,0,1,0,1,0,0,1,0,0,0,1,3,1,1,0,0,1],[0,2,1,0,1,2,2,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,1,0,0,2,2,0,0,0,1,0,0,1,0,0,0,1,0,1],[1,0,2,1,1,2,1,2,0,2,1,0,1,1,0,1,1,0,1,0,1],[2,1,0,0,0,1,0,2,0,2,1,0,1,0,1,2,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0],[1,0,0,2,0,0,0,1,0,2,2,0,1,0,0,1,1,0,1,1,1],[0,0,0,2,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,1],[0,0,1,2,0,0,0,2,1,0,0,0,0,0,1,0,1,1,1,0,1],[0,0,1,2,0,0,0,1,1,1,2,0,0,0,1,2,1,1,0,1,1],[1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0],[2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0],[2,0,1,1,2,1,0,1,0,0,1,1,0,0,1,0,0,1,0,0,1],[0,0,0,0,1,0,1,0,0,1,1,0,0,0,0,0,0,1,1,0,0],[0,0,1,2,0,1,0,0,0,0,0,0,0,0,3,0,0,0,0,0,1],[0,1,2,1,2,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,1],[1,0,2,2,0,2,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0],[2,2,0,1,2,0,0,0,0,2,0,1,0,0,0,2,1,1,1,1,0],[0,1,1,2,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,1],[1,0,0,0,1,1,1,0,0,0,0,0,0,3,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,2,1,0,2,0,1,0,0,2,0,0,1,0,1,1,0,0,0,1],[2,2,0,0,2,0,1,0,0,2,1,0,0,1,0,0,0,1,0,0,0],[2,0,0,0,0,1,0,2,0,0,1,0,1,0,1,2,1,1,0,1,0],[0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0],[0,2,0,0,1,2,1,0,0,2,1,0,1,0,0,0,0,1,1,1,1],[0,2,1,1,2,0,2,1,2,1,2,0,0,0,0,0,0,0,1,1,1],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0],[2,0,2,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0],[0,2,0,0,2,0,0,2,2,1,0,0,0,3,0,0,1,0,1,1,0],[1,0,2,0,2,1,0,1,1,0,0,2,0,0,1,0,0,0,1,1,1],[0,1,1,0,0,0,2,0,0,1,0,0,0,1,1,0,0,1,0,0,1],[0,2,2,1,1,0,2,0,2,0,0,0,0,0,2,0,1,0,1,1,1],[1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0],[0,1,1,1,1,0,2,1,0,0,0,0,0,1,0,0,0,0,1,0,1],[0,0,0,2,2,1,1,0,2,0,0,0,0,0,0,0,0,1,1,0,0],[0,0,1,1,2,0,0,1,1,0,0,0,0,0,3,0,1,1,0,1,0],[0,2,0,2,0,2,0,0,0,1,0,0,0,0,3,3,0,0,1,0,0],[0,0,1,2,0,2,0,2,0,0,0,0,0,0,1,1,0,0,0,1,1],[1,0,0,0,0,0,0,0,0,0,0,1,0,3,0,2,0,1,0,1,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[2,2,2,0,2,0,2,0,2,2,2,2,1,1,0,2,1,1,1,1,0],[2,2,0,0,0,2,2,0,0,0,1,1,1,1,0,2,1,0,0,0,1],[0,1,0,0,2,0,2,0,0,0,1,1,1,1,1,0,1,1,1,0,1],[0,0,2,2,2,1,0,2,1,2,0,2,2,0,1,2,1,1,0,1,1],[2,1,1,1,0,2,1,2,2,0,2,0,2,0,0,0,1,1,1,0,1],[0,1,0,1,2,1,1,2,2,0,0,1,0,1,2,1,1,0,1,1,1],[2,0,0,0,0,0,0,0,2,0,0,0,1,0,0,2,1,0,0,0,0],[0,2,2,2,0,1,2,1,2,0,0,0,0,0,2,3,1,0,1,1,1],[0,2,2,2,2,2,2,2,0,2,0,2,0,2,3,0,0,1,0,0,1],[0,0,0,0,0,1,1,2,0,0,0,0,0,0,1,3,1,0,0,0,0],[0,0,0,0,2,2,0,1,1,1,1,2,0,0,0,2,0,1,0,0,1],[0,0,0,2,0,0,2,1,2,2,0,0,0,0,1,0,1,0,0,1,1],[0,0,1,1,1,0,2,1,0,0,0,0,0,0,2,2,0,0,1,1,1],[0,0,2,0,1,1,0,0,1,0,0,0,0,1,3,0,1,1,0,1,1],[1,0,2,0,0,1,1,0,0,0,0,1,0,2,0,0,1,1,1,1,1],[2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[2,0,0,0,0,1,2,2,0,0,0,0,0,3,1,1,1,0,1,1,1],[1,1,0,0,1,2,1,0,2,0,1,1,1,1,2,0,1,0,1,0,0],[2,1,0,0,2,0,1,0,0,0,1,1,1,1,0,2,0,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,2,0,1,0,0,1,0,0,1],[1,2,0,0,1,1,0,0,0,0,0,1,0,2,0,1,1,1,1,1,1],[0,0,0,0,1,1,0,1,0,0,1,1,0,1,0,1,1,0,0,0,0],[0,1,0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[2,2,1,0,2,0,0,0,0,1,1,0,1,0,0,0,1,1,0,1,0],[1,2,0,0,1,1,1,0,0,0,0,0,1,2,3,0,0,0,1,1,0],[2,0,2,2,0,1,0,2,1,0,2,0,1,0,3,0,1,1,0,0,1],[2,1,0,2,1,2,1,0,0,1,0,1,0,0,3,2,1,1,1,1,0],[1,1,0,2,2,2,1,0,1,1,1,1,1,1,0,3,1,1,1,1,0],[0,2,2,1,0,0,2,0,2,0,0,0,0,0,3,0,0,1,1,1,1],[1,2,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0],[2,0,0,2,2,0,2,2,2,2,2,1,0,2,3,0,1,1,1,1,1],[2,1,0,1,2,2,1,2,0,0,2,0,1,1,0,2,1,1,1,1,1],[0,2,0,2,1,0,0,0,0,0,2,0,0,0,2,1,0,0,0,1,1],[2,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0],[2,2,1,2,1,0,2,1,0,1,1,0,0,0,3,0,1,0,1,1,1],[0,0,0,1,2,0,1,0,2,1,0,2,1,0,0,0,1,0,1,1,0],[1,0,2,0,2,1,1,0,0,0,0,1,0,1,3,1,0,0,1,1,1],[0,0,1,0,2,0,0,0,0,2,0,2,0,0,0,0,0,1,0,1,0],[0,1,0,0,0,2,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0],[0,2,1,1,2,0,2,1,2,1,0,2,0,0,3,1,0,1,0,0,1],[2,0,0,0,2,2,0,2,0,0,2,1,1,2,0,0,1,1,1,0,0],[2,0,2,2,0,1,1,0,0,1,1,0,1,0,0,2,0,1,0,1,0],[0,1,1,1,0,0,1,1,0,0,1,0,0,0,3,0,0,1,0,0,1],[2,1,2,1,2,1,1,2,0,0,0,0,0,1,1,0,1,1,0,0,1],[0,1,0,2,1,0,2,0,0,0,0,0,1,2,1,1,0,1,0,1,0],[2,0,1,2,0,0,0,1,1,1,0,0,0,3,3,0,0,0,0,1,1],[2,2,0,0,2,2,2,0,2,2,1,1,1,2,0,3,1,1,1,0,0],[0,1,0,0,0,0,0,0,0,2,0,0,0,0,1,0,0,1,0,1,0],[2,0,0,0,0,1,0,0,0,0,1,1,0,0,0,2,1,0,0,1,0],[1,2,0,2,1,1,0,1,0,0,0,0,0,2,0,1,1,1,1,1,1],[0,1,1,1,2,0,0,1,0,1,0,0,1,0,1,0,0,1,1,0,1],[0,2,1,2,1,0,0,1,2,0,0,0,2,2,2,0,1,0,1,1,1],[0,2,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0],[1,2,2,2,1,1,2,0,1,0,0,0,0,2,1,1,0,0,1,1,1],[0,0,1,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,1],[0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,1,1],[0,0,1,1,2,2,1,1,0,0,0,1,0,0,1,1,0,1,1,0,0],[1,0,2,1,0,1,0,1,0,2,0,0,1,0,1,1,1,0,0,0,1],[0,1,2,2,1,0,1,2,0,0,0,0,0,1,2,0,1,0,1,1,0],[2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,2,1,1,0,0,1],[2,2,1,0,0,0,2,0,0,0,1,1,0,0,0,0,0,1,1,0,0],[2,1,2,1,2,2,2,1,0,0,2,1,1,1,3,1,1,0,1,0,1],[2,0,1,0,2,1,0,2,0,2,0,0,0,0,0,2,1,0,0,0,1],[0,0,0,0,2,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1],[2,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,1,0],[0,1,1,0,2,2,1,2,0,0,1,1,1,0,1,2,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0],[0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,1,1],[1,1,2,1,1,2,0,1,0,0,0,0,0,3,2,0,1,0,1,0,0],[1,1,0,0,1,1,2,1,0,0,0,1,0,1,0,1,1,0,1,0,1],[0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,0,0,1,0,0,1],[2,0,0,0,0,0,1,0,2,2,2,2,0,1,0,3,1,1,1,1,1],[2,2,2,2,2,0,2,2,1,1,2,2,2,1,3,1,1,1,1,1,0],[1,0,2,2,0,2,0,1,1,0,0,2,0,0,0,1,0,0,0,0,1],[1,2,0,2,2,2,0,2,0,0,2,2,1,3,1,3,1,1,1,1,1],[0,1,0,1,2,2,1,1,1,2,2,0,1,0,0,0,0,1,1,0,1],[0,0,1,2,0,0,0,1,1,1,2,0,1,2,0,3,1,1,0,0,1],[0,0,0,0,0,1,0,1,1,0,2,0,0,0,1,0,1,0,0,1,1],[0,2,1,2,0,1,2,1,1,2,0,0,0,0,1,0,1,1,0,0,1],[0,1,0,1,0,2,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0],[2,0,2,0,0,0,0,2,1,1,1,0,1,0,1,2,0,1,0,1,1],[1,0,0,1,0,1,1,0,0,2,1,0,1,1,0,2,1,1,1,0,0],[1,1,0,0,1,2,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0],[2,0,0,0,0,1,2,0,0,1,2,0,1,0,0,3,1,1,0,0,0],[0,1,1,1,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1],[1,2,2,0,0,1,0,0,0,2,1,0,2,0,0,2,1,1,0,1,0],[0,1,1,1,1,0,2,1,0,2,0,0,0,0,1,0,0,1,0,0,1],[0,0,1,1,1,1,0,1,0,1,0,0,0,0,1,0,1,0,0,0,1],[1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,0,0],[2,0,1,2,0,0,0,0,0,0,2,0,0,0,1,0,1,0,0,0,0],[0,0,2,1,1,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,1],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0],[2,0,2,1,0,2,0,0,0,0,0,1,1,0,1,2,1,0,0,0,1],[0,2,0,1,2,0,1,1,0,1,0,0,2,3,1,0,0,0,1,1,1],[0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,3,0,0,1,0,0],[0,2,0,0,2,1,1,0,0,0,0,0,0,0,3,0,0,0,1,1,0],[0,0,0,0,0,0,0,0,0,2,0,2,1,0,1,2,0,0,0,0,1],[0,1,0,0,2,2,1,0,0,1,0,1,2,1,0,0,0,1,1,1,0],[2,0,2,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1],[1,2,0,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[1,2,1,1,0,2,1,1,2,0,0,2,0,1,3,1,1,0,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,1,1,0,0,0,2,1,2,0,1,0,0,1,0,0,0,0,1,1],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,1],[0,1,0,0,1,0,1,0,0,0,2,2,1,0,1,0,0,0,0,0,1],[2,2,0,2,2,0,1,0,0,1,1,0,2,0,3,2,1,1,1,1,0],[2,1,2,2,2,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0],[0,2,1,2,2,2,2,1,2,2,0,0,0,3,3,0,0,1,1,1,1],[0,0,1,0,0,0,2,1,1,1,0,0,0,0,1,0,0,1,0,1,0],[1,0,0,1,2,2,1,2,2,0,2,2,1,1,1,1,1,1,1,0,1],[0,0,1,1,2,0,2,0,1,1,1,0,0,0,1,0,1,1,1,1,1],[2,0,2,1,0,2,1,0,0,0,1,2,1,1,0,2,0,1,1,1,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,2,0,0,0,1,0,0],[1,2,2,0,0,0,2,0,0,2,1,2,0,3,3,1,1,1,1,1,1],[2,0,0,2,0,1,0,2,1,2,2,0,1,0,1,2,1,1,0,1,0],[1,0,0,2,1,1,0,0,0,1,1,1,0,0,0,1,1,0,0,1,0],[1,0,0,1,0,2,1,0,1,0,1,0,0,0,1,1,1,0,1,1,0],[1,1,2,1,1,1,2,0,0,0,0,0,2,1,2,1,0,0,1,1,1],[0,0,0,1,0,0,0,1,0,0,2,0,2,3,1,2,1,0,0,0,1],[0,2,0,2,0,1,0,1,2,2,2,0,0,2,1,1,1,1,0,1,1],[2,2,0,0,0,1,0,0,0,2,1,0,1,0,1,2,1,1,0,1,0],[2,2,0,2,1,1,1,0,0,0,0,0,1,0,2,1,1,0,0,1,0],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0],[2,0,0,2,0,1,0,0,0,2,1,0,2,1,0,2,1,0,1,1,0],[1,2,0,0,2,2,1,0,0,1,0,0,2,2,0,2,1,1,1,1,0],[2,0,1,1,1,0,2,0,0,0,0,0,0,0,1,0,0,0,1,0,1],[0,0,0,0,1,0,2,0,0,0,0,0,2,0,0,1,0,0,0,0,0],[2,2,0,0,1,0,1,0,0,0,1,1,1,2,0,2,1,1,1,1,0],[2,1,1,2,2,0,1,1,2,1,2,0,2,3,2,1,0,1,1,1,1],[2,0,0,1,2,2,0,1,0,0,0,0,0,0,1,2,0,1,0,0,1],[2,0,2,1,0,1,0,1,0,0,2,2,0,0,1,1,1,1,0,0,1],[0,0,0,2,0,0,0,1,0,1,0,0,0,0,3,1,0,1,1,0,1],[1,1,2,2,1,1,0,1,0,0,0,0,2,3,2,1,1,0,1,1,1],[2,1,2,1,2,1,1,0,0,0,2,2,1,1,1,1,1,1,1,0,1],[1,1,2,2,2,2,1,0,0,2,2,0,1,0,0,2,1,1,0,1,0],[0,2,1,1,1,0,2,0,0,0,1,0,2,0,2,0,0,0,0,1,1],[0,1,2,0,1,0,1,0,2,0,0,0,1,0,1,0,0,0,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0],[0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,1],[1,0,1,2,0,0,0,0,2,2,2,0,0,0,1,0,0,0,0,1,1],[1,2,2,0,1,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[0,2,0,0,0,0,0,0,0,0,2,0,0,0,0,1,1,0,0,1,0],[0,0,0,0,1,0,2,1,0,0,2,0,0,0,2,0,0,1,1,1,1],[2,1,2,1,2,1,2,0,1,0,2,2,0,0,2,1,1,0,1,0,1],[0,1,1,1,1,0,1,1,2,0,0,1,0,0,1,2,1,0,1,0,0],[2,0,2,0,2,0,0,2,2,0,2,0,1,1,1,0,1,0,0,1,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1],[0,2,0,0,1,0,1,0,2,1,1,0,0,0,0,1,0,0,1,1,1],[1,2,0,0,1,1,2,1,0,0,1,0,1,2,0,1,1,0,1,1,1],[0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0],[2,1,2,0,0,2,0,2,0,0,1,0,2,0,2,2,1,1,0,0,1],[2,0,2,2,0,0,0,2,1,2,1,0,1,0,1,0,1,1,1,1,1],[1,0,2,0,1,2,1,2,0,0,2,1,0,2,0,2,0,1,1,0,0],[0,0,1,0,0,1,0,1,1,1,0,0,0,0,3,1,1,1,0,0,1],[1,0,0,0,1,1,0,0,0,2,1,0,1,0,0,2,1,1,0,1,0],[1,0,1,2,0,0,0,0,1,0,2,0,1,3,1,0,0,0,0,1,1],[1,0,0,2,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0],[1,1,2,1,1,1,1,0,0,0,0,1,0,1,1,1,1,0,1,1,1],[0,1,0,2,2,0,1,0,2,0,2,1,0,0,0,0,0,1,1,0,1],[1,0,0,1,0,1,0,0,0,0,2,1,0,0,0,1,1,0,0,1,0],[0,2,0,0,2,0,0,0,0,0,0,1,0,0,3,0,0,1,0,1,0],[0,1,2,2,1,0,0,0,2,1,2,1,0,0,2,0,0,0,1,1,0],[2,2,0,0,0,1,0,0,0,1,1,0,1,0,0,1,1,0,0,1,0],[0,1,1,0,1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0],[1,2,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,1,1],[0,0,1,1,0,0,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0],[1,1,2,1,1,1,1,1,0,0,0,0,1,3,1,1,1,0,1,0,1],[0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0],[1,0,2,2,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,1],[1,0,2,0,2,1,0,2,0,0,0,0,0,1,2,1,0,0,1,0,1],[1,0,0,0,0,2,1,0,2,0,0,0,0,1,0,1,0,0,1,1,0],[0,1,0,0,1,2,1,0,0,1,0,0,0,0,0,2,0,0,1,0,0],[0,0,2,1,0,1,0,2,0,0,0,0,2,0,1,1,0,1,0,0,1],[0,1,0,2,1,0,1,2,0,1,0,1,0,2,3,0,0,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1],[1,2,0,2,1,1,0,2,0,0,1,0,0,3,0,0,1,1,1,1,0],[1,2,2,0,1,0,1,0,1,0,0,0,0,1,0,1,1,0,1,0,0],[0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,1,1,2,1,0,1,1,0,0,0,0,0,0,2,0,0,0,1,0,1],[2,1,2,1,2,0,1,2,2,2,0,1,2,0,1,2,1,1,1,0,1],[0,0,1,2,0,1,0,0,0,0,2,1,0,0,1,0,0,0,0,0,1],[0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0],[1,1,0,2,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0],[2,1,0,0,1,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,0],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1],[0,1,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,1],[2,0,1,1,0,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,1],[0,2,2,2,2,0,2,1,2,0,0,0,2,3,3,0,1,0,1,1,0],[2,0,0,1,0,1,0,2,0,2,2,0,0,0,1,3,0,1,0,0,0],[2,2,2,0,1,2,2,1,0,0,2,1,0,2,1,1,1,0,0,1,1],[1,0,0,1,0,2,0,0,0,2,1,0,1,1,1,0,1,1,0,0,1],[2,0,0,0,0,1,0,1,0,0,0,2,0,0,0,1,1,1,0,0,0],[2,0,0,1,1,1,0,0,0,2,1,0,1,0,0,3,1,1,0,1,0],[0,0,0,2,2,1,0,0,0,1,1,2,0,0,1,2,1,1,0,1,0],[2,0,1,1,0,1,0,2,1,0,2,0,2,0,1,2,1,1,0,0,1],[1,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,1,0,0,0,0],[0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0],[2,2,0,0,2,2,1,2,0,0,0,1,0,1,1,1,1,0,1,0,1],[2,0,0,0,0,1,0,1,1,0,2,0,0,1,1,3,0,0,1,1,1],[0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,2,2,1,1,2,2,1,1,2,2,2,0,0,2,2,1,0,0,0,1],[1,0,1,1,2,1,2,1,1,0,0,0,0,0,1,3,0,1,1,0,1],[1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0],[0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[2,2,1,1,2,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,1],[0,0,0,0,2,0,1,0,0,1,1,0,1,0,1,0,1,1,1,1,0],[0,2,1,2,2,2,2,0,2,0,1,0,0,3,3,0,0,1,1,0,1],[2,0,0,0,2,2,1,0,2,0,1,2,2,1,1,0,1,0,1,0,0],[0,1,0,0,2,1,1,0,2,0,0,0,1,1,0,1,1,0,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,1,0],[0,2,0,0,2,0,1,0,0,1,0,0,1,0,0,1,1,0,1,1,0],[2,2,0,0,0,1,0,0,0,2,1,0,2,0,1,1,1,1,0,1,0],[1,0,2,1,0,2,1,2,0,0,1,1,1,1,3,2,1,1,1,1,1],[2,1,1,0,2,1,0,1,0,0,0,0,0,1,1,1,1,1,1,0,1],[2,2,2,0,1,2,1,0,0,2,1,0,1,1,0,1,1,1,1,0,1],[2,1,2,1,2,2,1,0,0,0,1,2,2,2,3,1,1,1,1,0,0],[0,2,0,2,0,0,1,0,2,1,0,0,0,0,0,0,1,0,1,0,0],[2,0,2,0,0,1,2,2,1,2,0,0,0,0,1,1,1,1,0,1,1],[0,0,1,2,1,0,2,1,1,1,0,0,2,2,3,1,0,1,1,1,1],[1,1,2,1,2,2,1,2,0,0,0,1,1,0,1,1,1,1,1,0,1],[1,1,1,2,1,1,2,0,1,2,2,2,1,1,2,1,1,0,1,1,1],[1,1,0,1,1,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0],[2,2,0,1,1,1,2,2,2,0,2,2,2,1,3,3,1,0,1,1,1],[0,1,1,0,0,2,1,0,0,0,0,1,1,0,0,0,0,1,1,0,1],[0,2,0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1],[0,2,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,1,1,1,0],[0,1,1,0,2,0,2,2,0,0,2,1,1,1,1,2,1,0,0,0,1],[1,0,0,1,2,1,2,1,2,0,0,0,0,3,1,1,1,0,1,0,0],[2,2,2,2,0,1,0,1,1,2,0,0,1,3,1,1,1,1,0,1,0],[2,0,2,1,0,1,0,1,0,0,2,0,2,0,1,2,1,0,1,1,1],[0,0,1,0,0,0,0,0,1,0,2,0,0,1,2,0,0,1,0,1,1],[1,1,2,1,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1],[0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1],[0,0,0,1,2,0,1,0,0,1,1,0,0,0,0,0,0,0,1,1,0],[2,1,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0],[2,1,0,0,2,2,1,0,0,2,1,2,2,2,1,0,1,1,1,0,0],[2,2,0,2,0,1,0,2,1,0,2,0,1,1,1,3,0,1,0,1,0],[1,0,0,2,0,0,0,1,1,0,2,0,0,0,1,0,1,1,0,0,0],[1,1,2,0,0,2,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[2,1,1,1,1,1,2,1,1,0,0,0,0,1,2,1,1,0,1,1,1],[1,2,2,1,1,1,2,1,2,0,0,0,0,2,0,1,1,0,1,1,1],[0,0,1,0,0,2,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0],[1,0,2,2,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,1,1],[2,1,2,1,0,0,1,1,2,0,0,0,0,0,1,0,0,0,1,1,1],[1,0,0,2,2,0,0,1,0,0,0,0,0,2,1,0,1,0,1,1,0],[2,2,0,0,2,2,1,0,0,1,1,1,1,2,0,3,1,1,1,1,0],[0,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1],[0,2,1,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,1,0,0],[0,2,0,0,2,0,1,0,0,1,0,0,0,3,0,0,0,1,1,1,0],[1,2,2,0,0,1,0,0,0,0,0,0,0,2,2,0,1,0,1,0,0],[0,1,0,0,0,0,2,0,0,0,1,1,0,0,0,0,0,0,0,0,0],[0,0,0,1,2,0,0,0,0,0,2,0,0,0,0,0,0,0,0,1,1],[0,0,1,0,2,0,0,1,0,0,2,0,0,3,1,0,1,1,0,0,0],[0,0,1,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,1,0],[2,1,1,0,2,0,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1],[0,1,0,0,1,0,1,2,0,1,0,0,0,1,0,0,0,1,1,0,0],[0,2,2,2,0,2,0,0,0,0,0,0,0,1,0,1,1,0,1,1,0],[1,0,0,0,0,0,0,1,0,0,0,0,0,1,2,0,0,0,1,1,0],[0,0,2,0,0,1,0,1,1,0,2,0,0,0,0,0,1,0,0,1,0],[0,1,1,1,0,0,0,0,2,0,2,1,0,0,1,0,0,1,1,0,0],[2,0,0,0,0,1,1,0,0,2,1,1,1,0,0,2,1,1,0,0,0],[2,1,0,2,2,0,0,1,0,0,2,1,0,0,0,0,0,1,1,1,1],[0,2,0,2,1,2,1,1,0,0,0,0,0,0,1,0,1,1,0,0,1],[2,2,0,1,0,2,1,0,0,0,1,0,1,0,0,2,1,0,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1],[1,0,2,1,0,1,0,1,0,0,0,0,0,0,1,2,1,0,0,0,1],[0,0,0,1,0,0,0,2,0,1,0,0,1,0,1,2,0,0,0,0,1],[2,1,2,0,2,2,1,0,0,0,1,1,1,2,0,1,1,0,1,1,1],[0,1,0,0,0,0,0,1,1,0,0,0,1,1,1,0,0,1,0,0,0],[2,0,1,2,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1],[0,2,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0],[0,0,0,0,1,1,0,0,0,0,1,0,0,2,2,0,1,1,1,1,0],[0,2,1,2,0,0,0,0,0,1,0,2,0,0,1,0,0,1,1,1,1],[1,2,0,2,1,0,1,0,0,0,0,2,0,1,0,3,1,0,1,1,0],[0,1,2,0,0,2,1,2,0,0,0,1,2,2,0,1,1,1,1,1,1],[1,1,2,1,1,1,1,0,0,2,0,2,1,1,0,1,0,0,1,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1],[0,2,1,2,1,0,0,0,2,1,0,0,2,2,0,0,0,0,1,0,1],[0,0,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1],[0,0,0,0,1,2,1,0,0,0,1,2,1,1,0,3,0,0,1,0,1],[2,0,2,2,0,1,0,1,1,2,0,0,1,0,1,2,1,1,1,1,0],[0,0,0,0,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,1,0],[0,1,0,1,2,0,1,0,0,1,1,0,0,0,2,0,1,0,1,0,0],[1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,3,0,1,0,0,0],[1,0,0,1,2,1,1,0,2,0,2,1,2,1,1,2,1,0,1,1,0],[0,0,0,0,2,1,1,0,0,0,0,2,1,1,0,1,1,0,1,1,1],[1,1,0,2,2,1,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0],[0,1,1,0,2,0,1,1,2,2,0,0,0,0,0,0,0,0,1,0,1],[0,2,0,0,1,0,2,0,0,0,0,1,0,1,0,0,1,0,1,1,0],[0,2,0,0,0,0,1,0,2,2,0,0,0,0,1,3,1,0,1,0,0],[0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,2,0,2,0,2,0,0,1,0,0,2,1,0,1,1,0],[2,0,2,0,0,0,0,2,1,2,2,0,1,2,1,3,1,1,0,1,0],[2,1,2,1,2,2,1,2,0,0,0,2,0,1,1,2,1,1,1,0,1],[0,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,1,0],[1,0,2,0,0,0,0,0,1,0,0,0,0,0,0,2,0,1,1,1,1],[0,1,0,0,1,0,1,0,2,0,0,0,1,0,3,0,0,0,1,0,0],[1,2,2,0,1,2,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1],[2,0,2,2,0,2,0,0,1,2,0,0,1,0,1,0,1,1,1,1,1],[1,1,0,0,2,1,2,0,0,0,0,0,0,3,1,1,1,1,1,0,0],[1,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1],[2,0,0,0,0,1,0,2,1,2,2,0,1,0,0,3,0,0,0,0,0],[1,0,0,1,2,2,1,1,0,1,0,0,0,0,0,1,1,0,0,1,0],[0,0,1,2,2,1,2,2,1,1,0,0,0,0,0,0,0,1,0,1,1],[0,0,0,0,0,0,0,0,0,0,0,0,1,2,0,0,0,1,0,1,0],[0,0,1,0,0,0,2,0,0,0,1,2,0,0,1,2,0,1,0,0,1],[2,0,2,0,0,2,0,0,1,0,2,2,0,0,1,1,1,0,0,0,0],[1,2,1,0,0,1,0,0,0,0,0,0,0,2,2,1,1,0,1,1,0],[0,0,2,0,1,0,0,1,0,0,1,0,1,0,1,2,0,1,1,0,1],[2,0,2,2,0,1,0,0,0,2,0,0,1,0,3,0,0,1,0,1,0],[2,0,0,0,2,2,1,2,0,0,1,0,1,0,3,2,1,1,1,0,0],[2,0,0,0,2,0,1,2,0,0,2,1,2,3,3,0,1,1,1,1,1],[2,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,1,0,0,1,0],[2,1,2,1,2,2,2,2,0,0,1,1,1,3,1,0,1,1,1,0,0],[2,1,0,0,1,1,1,0,2,0,0,0,2,0,0,1,1,0,1,0,1],[2,0,0,0,0,0,0,0,0,1,1,0,2,0,0,3,1,1,0,0,0],[2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,1,1,0,0,0],[0,0,2,2,0,1,2,0,1,2,1,0,1,0,1,1,1,1,0,0,1],[2,2,1,0,1,0,2,0,0,0,0,0,0,2,0,3,0,1,1,1,0],[2,1,0,0,2,2,1,1,0,0,1,2,0,0,0,0,1,1,1,0,0],[1,0,2,0,1,1,2,2,2,0,1,0,0,0,2,0,1,0,1,1,1],[1,0,2,0,2,1,0,2,0,0,1,0,1,0,3,1,1,1,0,0,1],[0,0,0,0,2,0,0,0,0,1,0,0,0,0,3,0,1,1,1,1,0],[2,2,0,1,1,0,2,1,0,0,0,0,1,0,1,0,1,1,1,0,1],[2,0,0,0,2,2,0,0,0,2,2,1,1,2,1,2,1,1,0,0,0],[0,1,0,1,2,1,0,1,2,2,2,0,0,1,1,1,1,0,1,0,0],[0,2,2,2,2,0,1,0,2,2,0,0,0,0,0,0,0,1,1,1,0],[0,2,2,0,2,2,1,2,2,0,0,0,1,3,1,2,0,1,1,0,0],[1,0,2,0,2,1,0,0,1,1,0,0,0,0,0,1,1,0,0,1,1],[0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,2,0,1,1,0,1],[0,1,2,1,0,0,0,2,0,0,2,0,0,1,1,1,0,1,0,1,1],[0,0,1,1,1,1,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1],[1,0,0,0,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1],[0,2,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0,1,1,1],[0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1],[2,1,0,0,1,2,1,1,0,0,0,0,1,1,2,1,1,0,1,0,0],[0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,1,1],[0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[1,0,1,2,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,1],[0,2,2,1,1,0,2,0,0,0,0,0,0,1,2,0,1,0,1,0,1],[0,2,1,2,0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,1,1],[0,2,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1],[0,0,0,1,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,0],[0,2,0,1,2,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,0,1,2,0,1,0,1,1,1,0,0,0,3,0,3,1,1,0,1,1],[1,2,0,0,0,1,0,1,2,0,2,0,0,0,1,1,1,1,0,0,0],[2,1,2,1,2,0,0,0,1,0,0,2,1,1,0,2,0,1,1,0,1],[0,2,1,2,0,0,1,2,2,1,0,0,0,0,3,3,0,1,1,1,0],[0,2,1,1,2,0,1,2,0,1,2,0,1,0,3,3,0,0,1,1,1],[1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0],[1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1],[1,0,0,2,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0],[0,1,2,2,1,1,2,2,2,0,0,1,0,0,3,0,0,0,0,1,0],[0,1,0,2,2,0,2,1,1,1,0,0,0,0,3,0,0,1,1,1,0],[0,2,0,1,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0],[1,0,1,1,2,0,0,1,1,1,0,0,0,3,1,0,0,1,1,1,1],[1,1,2,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,0,0,1],[0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0],[0,2,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,1],[0,0,0,2,0,0,0,2,0,0,0,1,0,0,0,0,0,1,0,1,0],[2,0,2,1,0,0,2,1,1,0,0,2,0,0,1,2,1,0,0,1,1],[1,0,0,0,0,0,0,0,0,0,1,0,0,3,0,1,0,0,0,0,0],[1,1,2,1,0,2,0,2,1,0,2,0,2,2,2,1,1,0,1,1,1],[0,0,1,1,1,1,1,2,2,0,0,0,2,0,0,1,0,0,0,1,1],[0,2,0,2,0,1,0,1,1,0,2,2,0,0,2,0,0,0,0,1,1],[0,0,0,0,0,1,1,1,0,0,0,2,1,1,1,0,0,1,0,0,1],[2,0,2,0,0,0,0,1,1,0,1,0,0,0,2,1,1,0,0,1,0],[0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],[0,0,0,2,0,0,1,0,0,0,0,0,1,0,1,1,0,1,0,1,1],[0,1,1,1,2,0,1,1,0,1,2,0,0,1,0,0,0,0,1,0,0],[2,0,0,2,2,2,0,2,1,2,2,2,1,0,1,1,1,1,0,1,1],[1,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,1,1,0,1,0],[0,2,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,0,1,0],[0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,1,2,2,0,0,0,1,0,2,0,0,1,0,1,2,0,1,1,0,1],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1],[1,1,0,0,2,2,1,1,0,0,2,0,0,3,0,1,1,0,0,0,0],[0,0,0,2,0,0,1,1,0,1,1,0,0,0,1,2,0,0,0,1,0],[0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1],[2,0,0,0,0,1,0,2,0,0,1,0,2,0,0,3,1,1,0,0,0],[0,2,0,0,2,0,0,2,1,0,0,0,0,0,1,1,1,0,0,1,1],[0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0],[0,1,2,2,2,1,1,2,0,0,2,0,0,0,1,0,0,1,1,0,0],[0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,1,0,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,3,0,0,0,0,0,1,0],[2,0,1,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1],[1,2,0,2,1,1,0,1,2,0,0,2,2,0,0,3,1,0,1,0,1],[0,0,2,1,1,1,1,0,0,0,0,0,0,0,1,2,1,1,0,0,1],[0,0,1,2,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1],[0,0,0,0,0,2,1,0,0,2,0,1,0,0,0,3,1,1,1,1,0],[1,2,2,1,1,1,1,0,0,0,1,0,0,2,0,0,1,1,0,0,0],[0,0,1,2,0,0,0,1,0,2,0,0,1,0,3,0,0,1,1,0,0],[1,2,2,1,0,1,0,1,1,1,2,0,1,3,1,0,0,0,0,1,0],[1,2,0,0,2,1,1,1,2,0,0,0,0,2,0,1,1,1,1,1,0],[0,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1],[2,0,1,2,1,2,0,2,2,0,2,0,2,0,3,1,1,1,0,1,0],[0,2,2,2,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1],[0,2,0,0,2,2,1,0,1,1,0,0,0,2,0,0,1,0,1,1,1],[0,2,0,1,0,0,0,2,1,1,0,0,0,0,3,0,0,0,1,1,1],[1,1,0,0,1,2,1,2,0,0,1,1,1,1,0,1,1,0,0,0,1],[2,1,2,2,1,0,0,1,0,0,0,0,2,0,1,0,1,0,1,0,1],[0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0],[0,1,0,0,2,0,0,0,0,0,0,1,1,0,0,2,0,0,1,0,0],[2,0,2,2,0,1,0,1,0,0,0,0,0,0,2,2,0,0,1,0,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,0,0,2,0,0,0,0,0,1,1,1,1,0,0,1,0],[0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,1,0,0,0],[1,0,2,2,2,1,2,1,2,0,0,0,0,3,0,1,1,0,1,1,1],[0,0,2,2,0,0,0,1,2,1,0,0,1,0,0,0,1,0,0,1,1],[1,0,0,0,0,2,0,0,0,0,0,1,0,1,0,1,0,0,1,0,0],[2,0,0,0,0,1,0,0,1,2,1,0,1,0,1,0,1,1,0,0,0],[1,2,2,2,1,1,0,1,1,0,0,0,0,3,2,2,1,0,1,1,1],[1,0,0,0,0,1,2,0,0,0,1,0,0,0,1,3,1,0,0,1,0],[0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0],[1,0,0,0,1,1,0,0,0,0,0,0,0,2,0,1,1,1,1,1,1],[1,2,0,0,1,2,0,0,0,0,0,0,0,3,2,1,1,1,1,1,1],[2,0,1,2,0,1,0,2,0,0,2,0,1,0,0,0,1,1,0,1,1],[2,1,0,0,2,0,1,0,0,0,2,1,1,1,0,0,0,1,1,0,1],[0,1,2,0,0,1,0,0,0,0,0,1,1,0,1,1,1,0,0,0,1],[1,2,0,0,2,0,2,0,0,1,0,0,1,0,0,0,0,0,1,1,0],[0,0,2,2,1,1,2,0,2,2,2,1,1,2,3,2,1,1,1,1,1],[1,1,1,2,0,0,2,2,0,0,0,1,0,0,0,0,0,0,1,0,1],[0,1,0,0,2,0,1,0,0,0,0,1,0,2,0,0,0,1,0,0,1],[1,0,2,0,0,1,0,2,1,0,0,0,2,0,1,1,1,0,0,0,0],[1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0],[2,2,0,0,2,2,1,0,0,2,1,1,1,2,0,3,0,1,1,1,1],[0,1,1,1,2,0,1,1,0,0,0,0,0,0,2,0,1,1,0,0,1],[0,1,1,2,1,2,2,0,2,0,0,2,0,0,3,0,1,0,1,1,0],[2,0,0,0,0,1,0,0,0,0,1,0,2,0,0,0,1,1,0,0,0],[2,0,1,1,0,0,2,1,1,0,0,0,0,1,0,0,0,1,0,1,0],[2,0,0,2,2,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,0],[0,2,0,0,2,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0],[2,1,0,0,2,2,1,0,0,0,0,2,1,2,0,1,1,0,1,0,0],[0,2,0,0,1,0,0,1,0,0,1,1,0,0,2,0,0,1,1,1,1],[2,0,2,2,0,0,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1],[0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1],[0,1,0,0,0,0,1,2,0,0,0,0,0,1,0,2,0,0,1,1,0],[1,1,0,0,1,1,1,0,0,0,0,0,0,2,0,0,1,1,1,0,0],[1,0,0,0,0,2,0,0,0,2,1,1,1,0,0,1,0,0,1,1,0],[2,1,0,2,0,1,1,1,0,2,0,0,0,0,1,0,1,1,0,0,1],[1,1,0,1,2,0,1,1,2,0,0,1,0,0,0,0,0,0,1,0,0],[0,0,1,2,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0],[2,2,0,0,0,2,1,0,0,2,1,0,2,1,0,3,1,1,0,1,0],[0,1,0,1,0,2,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1],[2,0,2,0,0,1,0,0,0,1,1,0,1,0,0,2,1,1,0,1,0],[0,2,0,0,1,1,1,0,2,2,0,0,0,0,0,1,1,0,1,1,0],[0,0,0,0,0,1,0,2,0,2,0,0,0,0,0,0,1,1,0,0,0],[2,0,0,0,0,1,1,0,0,0,2,0,1,0,0,2,1,0,0,1,0],[2,0,1,1,0,2,2,2,2,2,1,0,2,3,3,2,1,1,1,0,0],[0,1,0,0,1,0,1,2,2,0,0,1,0,0,1,0,0,0,1,0,0],[1,2,0,2,1,0,2,0,0,0,1,0,0,3,0,1,1,0,1,1,0],[2,1,0,1,0,0,1,2,0,0,0,0,0,0,1,0,1,1,1,0,1],[1,0,0,0,1,0,2,0,2,0,0,0,0,1,0,1,0,0,0,0,0],[2,0,2,2,2,0,2,2,2,0,2,2,0,0,3,1,0,1,1,1,1],[1,2,0,2,0,0,1,1,2,0,0,0,0,3,0,1,1,0,1,1,1],[2,0,0,0,0,0,0,0,1,0,0,2,1,0,1,2,1,1,0,0,1],[2,2,2,1,0,0,2,0,0,1,0,0,0,3,2,0,0,0,1,0,1],[0,2,1,0,2,1,2,2,0,2,0,1,0,0,1,0,0,0,1,1,1],[2,2,0,0,2,1,1,0,0,0,1,1,1,2,0,3,0,1,1,1,1],[0,2,2,0,0,2,1,0,0,2,0,1,0,3,0,3,1,1,1,1,0],[0,2,0,0,2,2,1,0,0,1,0,0,1,2,0,0,0,1,1,1,0],[0,1,2,0,1,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,1],[0,2,2,0,1,0,1,0,0,0,0,0,1,2,0,0,0,1,1,1,0],[0,0,1,1,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1],[1,2,1,1,0,2,0,0,1,0,0,0,0,0,2,1,1,0,0,1,0],[0,1,0,0,1,0,0,2,0,0,0,2,0,0,0,1,0,1,1,0,0],[0,2,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0],[0,2,1,2,2,0,2,0,2,1,2,0,2,0,3,0,0,1,1,1,1],[0,0,0,1,2,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,0,0,0,0,1,0,2,0,2,0,0,0,0,1,1,1,1,0,0,0],[1,0,0,0,0,1,0,1,0,0,0,0,0,0,2,0,1,0,0,0,0],[2,0,2,2,0,1,0,2,1,2,2,0,1,0,3,2,0,1,0,1,1],[2,2,0,0,1,2,1,0,2,0,1,0,1,2,0,3,0,1,0,1,1],[2,0,1,2,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,0,1],[0,0,1,2,0,2,0,1,1,0,0,2,0,0,0,0,0,0,0,1,1],[1,0,2,0,0,1,0,1,1,0,0,0,0,0,0,3,1,0,0,1,1],[0,2,1,2,2,0,1,0,0,0,0,0,1,0,3,3,0,1,1,0,0],[0,2,2,0,0,0,2,0,0,0,0,1,0,0,0,1,1,0,1,1,1],[0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1],[2,2,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1],[0,2,1,2,1,2,2,2,2,2,0,1,2,3,1,3,0,1,0,1,1],[2,1,0,0,1,1,0,0,0,2,1,0,1,0,1,1,0,1,0,0,0],[1,1,0,0,1,1,1,0,0,0,0,1,0,2,0,1,0,0,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0],[0,0,1,0,0,0,0,1,0,0,0,0,0,3,1,0,0,1,0,0,1],[2,2,0,0,0,1,1,0,0,2,1,0,0,0,0,2,0,1,0,1,0],[2,1,0,1,0,0,2,0,0,0,0,1,0,0,0,0,0,1,1,0,1],[1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0],[2,1,2,1,1,1,0,1,0,0,0,0,0,3,1,1,0,0,1,0,0],[1,0,2,2,0,1,0,0,1,0,2,0,0,1,2,1,0,0,0,0,0],[0,2,1,1,0,2,2,1,1,1,2,0,2,0,3,0,0,1,0,0,1],[0,0,2,0,0,2,0,0,0,0,1,2,1,1,0,2,1,1,1,0,0],[2,1,2,0,2,1,0,2,2,0,1,0,0,0,0,2,1,1,1,1,0],[2,0,0,0,0,1,0,0,1,0,1,0,1,0,0,2,1,1,1,0,1],[0,2,1,2,0,0,1,2,0,0,0,0,0,0,3,0,0,1,1,0,0],[1,0,2,2,0,1,0,2,0,0,2,0,2,0,0,3,1,1,1,1,0],[1,0,0,0,0,1,1,0,0,0,0,2,0,3,0,3,1,0,0,1,0],[1,2,0,0,1,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0],[2,0,1,2,0,2,0,1,0,1,1,0,0,0,2,1,0,1,0,1,1],[1,0,0,0,0,1,0,0,2,2,0,0,1,0,0,2,1,0,0,1,0],[0,2,1,2,0,0,2,2,1,1,0,0,0,0,1,0,0,1,0,1,1],[0,2,0,0,1,1,0,0,0,0,0,0,0,0,0,3,1,0,0,1,0],[1,0,2,1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,1],[2,1,1,1,0,2,0,0,0,0,0,0,0,0,3,0,1,1,0,0,0],[1,0,2,2,0,0,0,1,1,0,0,0,1,0,1,1,1,0,0,1,0],[0,2,0,0,2,0,2,0,0,1,0,0,0,0,0,0,0,1,1,1,0],[0,2,2,1,2,1,2,1,2,0,0,0,0,0,3,0,0,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0,0],[0,0,2,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0,0,0,1],[1,0,0,0,1,0,1,0,0,1,1,1,0,2,0,3,1,0,1,1,0],[2,1,0,0,2,0,2,0,2,1,0,2,0,0,0,0,0,1,1,0,0],[2,1,2,1,0,1,0,0,1,2,0,0,2,2,3,1,1,1,1,1,1],[1,1,0,1,1,1,1,0,2,0,0,1,1,0,0,0,0,0,1,0,0],[0,1,2,0,1,0,0,1,0,2,0,1,0,0,1,1,0,1,0,0,1],[1,0,2,1,2,0,2,0,0,1,1,0,0,0,1,0,0,0,1,1,1],[0,0,1,2,0,0,0,1,0,1,2,0,1,0,1,3,1,1,0,1,1],[2,1,2,1,2,1,2,2,0,0,0,1,1,1,0,1,0,0,1,0,0],[1,2,2,2,1,1,1,1,1,0,0,0,0,3,2,0,1,0,1,1,1],[0,2,1,0,2,0,2,0,2,1,0,0,2,0,2,0,0,1,1,1,1],[0,1,1,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0],[2,0,0,0,0,1,2,0,0,2,0,1,1,0,0,1,1,0,1,1,0],[2,1,2,1,0,1,0,1,1,0,2,1,0,0,1,1,0,0,0,0,0],[1,1,0,2,1,2,1,2,2,0,0,0,0,2,0,1,1,0,1,1,0],[0,1,2,1,2,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1],[0,2,1,2,0,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,0],[0,0,0,0,1,0,0,2,0,0,1,0,0,0,0,1,0,1,0,1,0],[1,0,0,0,0,2,0,1,2,0,0,0,1,0,1,1,1,1,0,0,0],[2,0,0,0,0,0,1,2,0,0,1,0,0,0,0,2,0,1,1,1,0],[0,0,1,0,2,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,1],[1,0,2,1,1,1,1,1,2,0,0,0,0,1,1,3,1,0,1,1,1],[2,0,0,2,2,1,1,0,1,2,1,0,1,0,0,2,1,1,0,1,0],[1,2,0,2,1,2,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0],[0,2,0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0],[0,0,2,0,0,0,0,0,0,2,0,0,0,0,0,1,0,1,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1],[0,0,1,0,0,0,0,0,1,0,0,1,0,0,2,0,0,0,0,1,0],[0,1,2,0,2,2,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1],[1,0,0,2,0,2,1,2,1,0,1,0,0,0,0,2,0,1,0,1,0],[1,2,0,0,2,0,2,0,2,1,0,0,0,0,0,0,1,1,1,1,0],[0,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0],[2,2,2,1,0,1,0,2,1,0,1,2,2,0,3,3,1,1,1,1,1],[0,0,0,2,0,0,0,0,2,1,0,1,0,0,0,0,0,0,0,1,1],[0,0,1,2,1,0,2,0,2,2,0,2,0,3,1,0,0,0,1,1,1],[0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,0,1,1,1,0,1],[1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0],[0,1,1,2,2,1,2,2,2,2,2,1,2,1,2,3,1,1,1,1,1],[1,2,0,1,0,1,0,1,0,0,0,0,0,0,1,0,1,0,1,0,1],[2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0],[2,2,2,2,0,0,0,2,1,2,2,0,0,0,1,0,1,0,0,0,1],[1,2,2,2,1,1,0,2,2,0,2,0,0,0,2,0,0,0,1,1,0],[2,0,1,1,0,1,0,0,1,0,1,1,1,0,3,0,1,1,1,0,0],[0,0,1,2,0,0,0,1,0,0,2,0,0,0,1,0,0,1,1,1,1],[2,2,2,2,2,1,2,2,1,2,2,2,2,3,3,3,1,1,0,1,1],[1,1,0,0,1,2,1,0,0,2,0,1,0,3,0,1,1,0,1,1,1],[2,2,0,0,1,2,1,0,0,2,0,1,0,0,0,0,0,1,1,1,0],[0,2,0,0,0,2,1,0,0,2,0,1,1,3,0,1,0,1,1,1,0],[0,1,0,2,1,2,1,1,0,0,2,0,0,0,1,0,0,0,1,1,1],[1,0,0,0,0,1,0,0,1,0,1,0,2,0,0,2,1,1,0,0,0],[1,2,1,1,0,1,0,1,0,0,2,0,2,0,0,1,1,0,0,1,1],[0,2,2,0,1,2,1,1,0,0,2,0,1,1,2,1,1,1,1,0,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,2,1,1,2,0,0,1,2,2,0,0,0,0,1,0,0,1,1,1,1],[0,0,2,2,1,0,1,0,0,1,0,1,0,0,2,0,1,0,0,0,1],[0,2,0,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,1,2,2,2,1,2,1,2,0,0,0,0,0,2,1,1,0,0,1,1],[2,0,0,0,0,2,0,2,0,0,1,0,0,0,0,1,1,1,0,0,0],[1,2,2,0,1,1,0,1,0,0,0,0,0,2,0,1,1,0,1,1,0],[1,0,2,1,0,1,0,2,0,0,2,0,1,0,2,2,1,0,0,1,1],[0,2,0,0,0,0,1,0,1,2,1,0,0,0,0,0,1,0,0,1,0],[0,1,2,1,1,0,1,0,0,0,2,2,0,1,0,1,1,1,1,1,1],[0,1,1,2,0,0,2,2,2,1,1,0,0,0,1,0,0,0,1,1,1],[1,0,2,0,0,0,1,0,0,2,0,1,0,0,1,0,0,0,0,0,1],[0,0,2,1,2,0,1,1,0,0,2,1,0,3,1,0,0,1,1,0,0],[0,1,1,2,2,0,2,2,0,0,0,0,0,0,3,2,0,1,1,1,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,1,0,0,1,0],[0,0,1,2,0,0,0,1,2,1,0,0,1,0,3,0,1,1,0,1,1],[1,2,1,0,1,2,1,2,0,2,1,2,1,0,0,3,1,1,1,0,0],[1,2,2,0,2,1,0,1,2,0,2,0,0,1,3,3,0,0,1,0,0],[2,1,0,2,2,1,0,1,1,0,0,0,0,3,0,1,1,0,1,1,1],[0,0,1,0,0,1,0,0,0,0,2,1,1,0,0,1,1,0,0,1,1],[0,0,0,1,1,0,0,1,0,0,2,0,1,0,1,0,0,1,0,0,0],[0,0,1,1,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0],[1,2,0,1,1,1,1,1,0,0,0,0,0,1,2,0,1,1,1,1,0],[1,0,2,1,2,1,0,2,0,1,2,0,0,0,1,1,1,1,0,0,1],[1,0,0,0,0,0,0,0,0,0,0,0,0,0,2,1,1,1,0,1,0],[0,1,1,2,0,0,2,1,2,1,0,2,0,0,3,0,1,0,1,1,1],[0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0],[1,0,0,0,2,1,0,0,1,2,1,0,1,0,0,2,1,1,0,1,0],[2,0,0,0,0,0,0,2,0,0,0,0,0,2,0,0,0,1,0,0,0],[1,2,0,2,1,1,1,0,0,0,1,1,0,1,2,1,1,0,1,1,1],[1,1,0,0,0,1,2,0,0,0,1,0,0,0,0,1,1,0,0,0,0],[1,0,1,0,0,0,0,0,1,0,0,2,0,0,0,0,1,1,0,0,0],[0,1,0,2,2,2,0,0,0,1,0,0,1,0,0,0,1,0,1,1,1],[0,0,1,1,0,0,0,1,0,2,0,0,0,0,0,0,1,1,0,0,1],[1,2,2,0,1,0,2,1,1,0,0,2,0,3,2,1,1,0,1,1,1],[0,0,2,1,1,0,1,1,0,2,0,1,0,0,2,0,0,0,1,0,1],[0,1,2,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0],[2,0,1,0,0,0,2,1,2,0,2,0,1,0,1,3,0,1,1,0,1],[2,0,2,1,0,2,0,2,0,0,0,0,0,0,2,1,1,0,0,1,1],[0,0,1,2,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1],[0,2,0,0,1,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0],[1,0,0,0,1,1,2,0,0,1,0,0,0,1,0,1,1,1,0,1,0],[0,1,0,1,1,0,1,1,0,0,0,0,2,0,1,0,0,1,0,0,1],[0,0,0,0,1,0,1,0,2,0,0,2,0,0,0,0,1,1,1,0,0],[2,0,2,1,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,0,1],[2,2,0,0,1,2,0,2,2,2,1,2,0,0,1,3,1,1,1,1,1],[0,0,0,1,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0],[1,2,2,2,1,1,2,0,2,0,2,0,0,2,1,3,1,0,1,1,1],[0,2,2,0,2,2,0,0,0,0,2,2,1,1,0,0,1,1,1,0,0],[2,1,2,2,2,0,1,0,0,1,0,0,0,0,1,0,1,1,1,1,1],[0,2,2,2,0,1,2,2,2,2,1,0,0,1,2,1,1,1,1,1,1],[0,0,0,2,2,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1],[2,1,0,2,0,1,1,0,0,0,1,1,0,1,3,3,0,1,1,0,1],[2,0,1,0,0,0,1,1,2,0,0,0,0,0,0,0,0,1,1,1,1],[2,0,2,1,0,1,0,0,0,0,1,0,1,0,0,3,1,1,0,0,0],[2,2,0,2,0,2,2,1,0,0,0,0,1,0,0,1,1,0,1,1,0],[0,1,0,0,1,2,1,1,0,0,0,0,0,2,0,0,0,1,1,1,0],[0,1,1,1,2,0,2,0,2,1,0,0,0,1,3,0,0,1,1,1,0],[2,1,1,1,0,1,0,1,0,0,0,0,1,0,3,0,1,0,0,0,1],[0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,0,2,2,0,0,0,1,1,2,0,2,1,0,1,2,0,1,0,1,1],[2,2,2,0,2,1,0,0,0,0,2,1,0,3,0,2,1,1,1,0,1],[0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,1,1,0,1,0,0],[0,0,1,1,2,0,1,0,2,0,0,0,0,0,1,0,0,0,1,1,1],[0,0,1,1,0,0,0,2,0,0,0,0,0,0,1,1,1,1,0,0,1],[2,0,2,0,1,2,2,2,0,0,2,0,0,1,0,3,1,1,1,0,1],[0,0,0,0,0,0,1,0,0,2,2,1,1,0,3,3,1,1,1,1,0],[0,1,0,2,2,0,2,0,0,1,0,0,0,3,3,3,1,1,0,0,0],[0,0,1,2,0,0,0,2,1,2,2,2,1,3,1,2,1,1,0,1,1],[1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,2,0,1,0,0,0],[0,2,1,2,2,0,2,2,2,1,0,0,0,0,1,0,0,1,1,1,1],[2,0,1,0,0,0,1,1,0,0,0,0,1,0,1,0,0,1,1,1,0],[1,1,0,0,1,0,1,0,0,2,1,0,1,3,2,1,0,0,1,1,0],[2,1,2,1,0,1,0,2,0,0,0,0,1,0,1,0,1,1,0,0,1],[0,0,0,0,0,0,1,0,0,2,0,0,1,0,1,0,1,1,0,0,0],[1,0,0,2,0,1,0,1,0,0,2,0,0,0,1,1,0,0,0,0,1],[1,0,2,2,0,1,1,1,0,0,2,0,1,3,2,1,0,0,0,1,1],[0,0,0,0,0,0,1,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[1,1,1,1,2,0,0,2,0,0,0,0,0,0,1,0,0,1,1,0,1],[2,0,0,2,0,1,2,1,1,2,2,2,1,0,3,2,1,1,0,1,1],[2,1,1,1,2,0,2,0,0,0,0,0,0,1,0,0,1,1,1,1,1],[2,2,0,1,1,1,0,1,1,0,2,0,0,0,2,2,1,0,0,1,1],[0,0,0,2,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,2,0,0,1,0,0,1,2,0,0,2,0,0,2,0,0,0,1,1,1],[1,0,2,0,0,1,0,1,2,2,0,0,0,0,0,2,0,0,0,1,1],[0,1,0,0,2,0,1,0,2,0,1,0,1,0,0,0,0,1,1,0,0],[1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0],[0,0,0,2,1,0,0,1,0,2,2,0,0,0,1,0,1,0,1,0,0],[2,2,0,0,1,1,1,0,2,0,0,0,0,2,0,2,0,0,0,1,0],[2,0,0,0,2,1,0,0,0,0,0,2,0,1,0,2,1,1,1,0,1],[1,1,2,0,0,2,1,1,0,2,0,2,0,1,1,1,0,0,0,1,0],[1,2,2,2,0,0,2,0,2,0,0,0,0,3,0,1,0,1,0,1,0],[0,0,0,0,0,1,0,1,1,0,0,0,2,0,0,2,0,1,0,0,0],[0,0,2,2,0,1,0,2,2,2,2,0,1,2,0,2,1,1,0,1,1],[0,0,0,1,0,0,0,0,0,0,1,0,2,0,0,0,1,1,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[2,0,0,2,0,1,0,0,0,0,2,0,1,0,0,1,1,1,0,1,0],[2,0,2,1,0,1,0,2,0,0,2,0,2,0,1,3,0,1,0,0,1],[0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,1,0,0,0,0,1,0],[0,0,0,1,0,1,1,2,0,0,0,0,1,0,1,1,1,1,0,0,1],[0,0,2,1,0,0,0,1,0,0,2,1,2,1,1,0,0,0,1,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,1,2,0,0,0,0,0,1,0],[1,0,0,0,1,0,0,0,0,0,1,0,0,3,0,0,1,0,0,1,0],[2,2,2,2,0,2,2,0,2,2,1,2,1,1,0,1,1,1,0,1,1],[0,1,2,2,2,2,2,1,2,0,0,0,0,1,1,1,1,1,1,1,1],[0,0,1,1,0,0,0,1,1,0,0,2,0,0,1,0,0,0,0,1,1],[2,0,2,1,0,2,0,0,1,0,0,0,0,0,2,2,1,0,0,0,1],[2,0,0,0,0,1,1,0,0,2,1,0,1,0,3,0,1,0,0,1,0],[1,0,2,0,0,0,2,1,0,0,0,0,0,0,2,0,0,0,0,1,0],[2,1,0,1,1,0,1,1,0,0,2,0,1,1,1,0,1,0,1,0,1],[1,2,0,0,1,2,1,0,2,2,0,0,0,2,0,1,1,1,1,1,0],[1,2,2,2,2,2,1,0,2,2,0,2,1,2,0,2,1,1,1,1,0],[0,2,0,2,1,0,2,0,1,0,2,0,0,0,2,3,1,0,0,1,1],[0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[0,1,1,2,2,0,0,1,1,0,0,0,1,0,3,0,0,0,1,0,0],[0,2,1,1,2,2,2,2,2,2,1,0,2,3,1,1,1,1,1,1,1],[0,0,0,0,0,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1],[0,1,0,0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0],[1,2,2,1,0,1,1,0,2,2,0,1,2,1,0,1,1,0,1,0,1],[2,0,2,1,0,1,0,1,0,0,0,0,1,0,1,2,1,1,0,0,1],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0],[0,1,1,1,1,0,2,1,0,0,0,1,0,0,1,1,0,0,0,0,1],[0,0,0,0,2,0,1,0,0,0,1,2,0,0,0,0,0,1,1,0,1],[0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,2,0,2,2,0,2,0,1,2,0,0,0,2,0,0,0,1,1,1,0],[0,0,1,2,0,1,0,1,1,2,0,1,0,0,1,1,1,0,1,1,0],[0,2,1,0,1,1,0,0,0,0,0,0,0,3,3,1,0,0,1,1,1],[0,0,0,2,0,2,0,1,1,0,0,0,0,0,1,3,1,1,0,1,1],[0,2,0,0,1,0,1,0,0,1,1,2,0,0,0,0,0,1,1,1,0],[0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,2,0,0,1,0,1],[1,0,0,0,0,1,0,2,2,0,0,1,0,0,0,0,1,0,1,0,1],[0,2,0,0,0,0,2,0,0,0,0,2,0,0,0,0,0,1,1,0,0],[2,1,1,0,1,2,1,2,2,0,0,2,1,1,3,2,1,0,0,0,1],[2,2,0,0,0,0,1,0,0,2,1,2,1,2,0,3,0,0,0,1,0],[0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1],[1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1],[0,1,0,1,2,0,2,1,0,1,0,1,1,0,1,2,0,1,1,0,1],[0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1],[1,2,2,1,2,1,2,2,0,2,0,0,0,1,1,2,1,0,1,0,1],[0,1,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,1,1,0,1],[1,0,0,0,1,1,0,0,0,0,0,0,2,0,1,2,1,0,0,1,0],[2,2,0,0,0,2,1,0,2,2,1,1,1,2,0,0,1,1,1,1,0],[1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0],[1,0,2,0,1,0,2,0,0,0,2,0,0,0,0,0,1,0,1,0,1],[0,0,0,0,2,1,2,0,2,0,2,0,1,2,0,1,1,1,0,0,0],[0,1,0,0,2,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0],[2,0,2,1,0,2,0,2,0,0,1,0,1,1,1,2,1,1,0,0,1],[2,1,0,0,0,2,0,0,0,1,0,0,0,2,1,0,0,0,0,1,0],[2,1,2,1,1,2,1,2,0,0,2,2,0,1,0,2,1,1,1,0,0],[1,2,2,2,0,0,0,1,1,2,2,0,0,0,1,1,1,0,1,1,1],[2,2,0,0,2,0,2,2,0,1,1,0,2,3,3,1,1,1,1,0,1],[2,2,0,2,1,1,2,1,1,1,1,0,0,1,2,0,1,0,1,1,1],[0,2,0,0,1,0,0,0,0,1,0,0,1,0,0,3,1,1,1,1,0],[0,0,1,1,2,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1],[2,0,0,2,2,2,2,1,0,1,0,0,1,0,0,1,1,1,1,1,0],[0,1,1,1,2,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1],[1,0,1,1,0,1,0,1,2,0,0,0,0,0,2,1,1,0,0,1,1],[0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0],[2,2,2,2,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0],[2,0,2,0,1,0,1,2,0,0,0,0,0,1,3,1,0,0,1,0,1],[0,0,1,1,0,0,0,1,0,0,0,2,0,0,1,0,0,1,1,0,0],[2,0,0,0,0,2,0,0,0,2,1,0,0,0,0,3,1,1,0,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0,0],[0,0,1,0,0,1,0,1,2,0,0,0,0,0,2,0,0,0,0,1,1],[0,2,1,0,1,0,1,0,2,2,0,0,0,0,0,0,0,1,1,1,0],[2,2,0,1,2,0,1,1,0,1,0,0,1,0,1,0,0,1,1,0,0],[2,2,0,1,1,1,0,1,2,0,0,0,0,1,1,0,1,0,0,0,1],[0,2,1,2,2,0,1,2,2,1,0,0,2,0,0,0,0,0,1,1,1],[1,0,2,0,1,1,1,1,0,0,0,0,0,1,1,1,1,1,1,1,0],[1,0,2,2,0,0,0,1,2,0,2,0,0,3,1,1,1,0,0,1,0],[1,2,2,0,0,1,2,0,2,0,0,0,0,3,0,1,1,1,1,1,1],[1,2,0,0,2,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0],[1,0,0,1,2,2,2,0,0,2,0,0,1,0,0,0,1,0,1,0,0],[1,0,0,2,0,1,0,0,0,2,2,0,1,0,0,2,1,1,0,1,0],[2,1,0,0,2,2,2,2,0,0,0,1,2,1,1,1,1,1,0,0,1],[2,0,2,1,1,0,1,1,0,0,0,0,1,1,1,1,1,0,0,0,0],[1,0,2,0,1,1,2,1,0,0,0,0,0,1,2,0,1,1,1,0,1],[0,2,0,2,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,0],[0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0],[2,0,1,0,0,1,0,2,0,2,2,0,1,2,1,2,1,1,0,1,1],[0,0,2,1,0,0,0,1,1,1,0,0,1,0,0,0,0,1,0,1,1],[1,0,2,1,0,2,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1],[2,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0],[0,0,1,0,0,0,2,1,2,1,2,0,0,0,3,0,0,0,1,1,0],[0,1,1,1,1,1,0,0,1,2,0,0,0,1,0,1,1,0,0,0,1],[2,1,0,1,1,1,2,1,2,0,0,0,0,1,0,1,1,0,1,0,0],[1,0,2,0,0,2,0,0,0,0,0,0,0,2,0,1,1,0,0,1,0],[0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0],[0,1,1,1,2,0,2,2,0,1,2,1,0,0,0,0,0,1,1,0,1],[2,2,0,0,1,2,0,0,0,1,0,1,0,0,3,0,1,1,0,0,0],[2,0,2,0,0,1,0,0,0,0,1,0,1,0,1,1,1,1,0,1,0],[2,1,2,0,2,2,2,0,2,2,1,1,0,2,0,3,1,1,1,1,1],[0,1,2,1,0,2,0,0,1,0,1,0,1,0,0,0,1,1,1,1,1],[0,1,0,0,2,2,1,0,0,0,1,2,2,1,0,2,1,1,1,0,0],[2,0,0,0,2,1,0,0,0,0,1,1,1,1,0,1,1,1,1,0,0],[0,0,0,0,2,1,0,0,0,2,1,0,1,0,0,2,1,1,0,1,1],[0,0,1,1,1,0,1,0,0,0,0,1,0,1,1,0,1,0,1,0,1],[1,1,1,1,0,0,0,1,0,0,0,1,0,0,1,1,1,1,0,0,1],[0,0,0,0,0,0,2,1,2,0,0,0,2,0,1,0,1,0,1,0,0],[0,1,2,0,2,2,1,2,0,0,2,2,1,3,1,2,1,0,1,0,0],[1,2,0,0,1,0,2,2,0,0,2,2,1,3,0,2,1,1,1,1,0],[2,0,2,0,2,2,0,0,0,0,2,0,2,0,2,2,1,1,1,0,0],[1,2,2,2,2,1,1,2,1,0,0,0,0,3,3,1,1,0,1,1,1],[1,0,0,0,2,1,1,0,0,2,0,0,0,2,0,1,1,1,1,1,0],[2,1,0,0,2,0,1,0,0,0,1,0,2,1,0,1,1,1,1,0,0],[1,0,0,0,0,2,2,0,0,0,0,1,0,0,0,1,1,0,0,0,0],[2,1,2,0,2,0,0,0,0,0,1,1,1,2,0,3,1,0,1,0,0],[2,1,2,1,0,0,0,2,1,0,2,1,1,1,0,0,1,1,0,0,1],[0,2,0,1,1,0,1,1,2,1,2,0,0,1,1,0,0,0,0,0,1],[2,0,1,2,0,1,0,2,0,2,2,0,1,0,0,0,1,1,0,1,1],[1,0,0,1,0,1,0,2,1,2,2,0,1,0,1,2,1,1,0,1,1],[0,0,0,0,1,1,0,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1],[0,2,1,0,2,0,0,0,0,0,0,0,2,1,0,0,0,0,1,0,0],[1,0,2,1,0,1,0,2,1,1,1,0,1,0,1,1,1,1,0,1,1],[0,2,1,1,2,0,2,0,2,2,0,2,1,0,3,1,1,1,1,1,1],[2,2,0,2,1,1,0,0,2,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,0,1,1,0,0,0,0,0,2,1,0,0,0,0,1],[1,0,2,2,1,1,1,1,2,0,0,0,1,3,3,1,1,0,1,1,1],[1,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1],[0,0,0,0,2,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,0,0,0,2,0,0,1,0,1,0,1,0,0,3,0,0,1,0,0],[0,1,0,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0],[0,1,0,1,0,0,0,0,1,0,0,1,2,0,1,0,0,0,0,0,1],[0,2,1,2,1,0,0,1,2,0,0,0,0,2,0,3,0,0,0,1,1],[0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,1],[2,1,0,0,0,1,0,2,2,2,2,0,1,0,1,2,1,1,0,1,1],[1,2,2,0,1,1,0,0,1,0,0,0,2,3,2,1,1,0,0,1,1],[0,1,0,1,2,2,1,0,0,0,2,1,1,3,1,2,1,1,1,1,1],[2,2,2,0,0,0,0,0,1,1,0,0,0,2,0,0,0,1,1,1,1],[0,1,1,1,2,2,0,1,0,0,2,1,0,1,3,0,1,1,1,0,0],[0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0],[1,2,1,0,0,0,2,1,0,0,0,0,0,0,1,2,1,1,0,0,1],[2,1,0,0,2,1,1,0,0,2,0,0,1,0,0,2,1,1,1,1,0],[0,0,0,0,0,0,0,0,0,1,0,0,2,0,0,2,0,1,1,0,0],[0,1,2,1,1,1,1,2,2,0,2,1,0,3,1,2,1,0,1,0,1],[0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0],[0,2,2,2,0,0,0,1,0,0,0,0,0,0,0,3,0,1,0,0,1],[0,2,0,0,1,0,1,0,0,0,0,0,1,0,2,0,0,0,1,1,1],[0,2,0,2,2,2,0,1,2,1,0,0,0,0,3,0,0,1,1,1,1],[0,0,0,0,2,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,1],[1,0,0,2,0,1,0,2,1,2,1,0,0,0,3,2,1,1,0,1,1],[0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,1,1,1,0],[0,0,0,0,2,0,2,0,2,1,1,0,0,0,3,0,0,1,1,0,1],[1,2,1,0,0,1,1,0,0,2,0,0,0,0,0,1,1,0,1,0,1],[1,0,0,0,0,1,1,0,1,2,1,0,1,2,0,3,0,1,0,1,0],[1,0,0,0,1,1,0,1,0,2,2,0,1,0,0,1,0,0,0,0,0],[0,0,1,1,1,0,1,1,2,0,0,0,0,0,2,1,0,0,0,0,1],[0,0,0,0,2,0,1,2,0,1,0,0,1,2,0,2,1,1,1,0,0],[1,1,1,0,0,1,1,0,2,0,1,1,0,1,1,1,1,0,0,0,0],[0,1,0,0,1,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1,1],[2,1,0,0,0,0,1,0,0,0,2,1,2,1,0,2,1,1,0,0,0],[2,1,0,0,2,2,0,1,0,0,1,1,1,1,0,2,1,1,1,1,0],[1,0,0,0,0,1,2,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[0,2,1,2,1,0,2,1,0,0,0,2,2,0,2,1,0,1,1,1,1],[2,1,2,0,2,2,1,2,0,0,1,0,1,1,0,2,1,1,1,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1],[2,1,2,0,2,0,1,0,0,0,0,2,1,0,0,2,0,1,1,0,0],[2,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0],[1,2,0,2,2,2,1,2,2,2,2,2,2,3,0,0,1,1,1,1,0],[1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,2,1,0,0,1,0],[2,1,0,0,2,1,1,0,0,0,0,1,2,1,0,2,1,1,1,0,0],[1,1,0,0,0,2,2,0,0,2,1,1,0,0,0,2,0,0,0,0,0],[0,2,1,2,2,0,0,2,2,1,0,0,0,0,2,3,0,1,0,1,1],[0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,1,1,1],[0,0,1,2,1,0,0,2,1,1,2,0,0,3,2,0,0,0,0,1,1],[2,1,0,0,1,2,0,0,0,0,1,1,0,1,0,1,1,0,1,0,0],[1,0,0,1,1,2,1,2,2,0,1,1,1,1,1,2,1,1,0,0,0],[2,2,2,1,0,0,2,0,0,2,1,0,1,0,0,3,1,1,0,0,0],[2,0,0,0,2,1,0,0,0,0,2,0,1,0,0,2,1,1,1,0,0],[0,0,1,2,0,1,0,2,0,1,0,0,1,0,1,0,0,1,0,1,0],[0,0,0,0,0,2,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,3,0,0,0,0,0],[0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0],[0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1],[0,2,2,2,0,0,0,1,1,0,0,0,0,3,2,1,1,1,0,0,0],[2,2,1,2,0,0,2,1,2,0,0,0,0,0,0,0,0,0,1,1,1],[0,0,1,2,0,0,0,1,2,0,0,2,0,0,0,0,0,0,0,1,1],[1,0,2,1,0,1,1,1,1,0,0,0,0,0,2,0,1,0,0,1,1],[1,1,2,1,1,2,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0],[2,0,1,2,0,2,0,0,1,2,0,2,0,0,1,3,0,0,0,1,1],[0,1,0,0,2,0,1,0,0,1,0,0,0,1,0,2,1,1,1,1,1],[2,2,2,1,2,2,1,1,0,0,2,1,2,1,1,1,0,1,0,0,1],[2,0,2,1,0,1,0,2,1,2,0,0,1,0,1,3,1,1,0,0,1],[2,0,2,1,1,0,0,2,0,0,1,2,2,0,1,2,1,1,0,0,1],[0,0,0,0,0,0,1,2,0,0,1,1,0,1,0,1,1,1,1,0,1],[2,0,0,0,0,1,0,0,0,0,2,0,1,0,0,2,1,1,0,0,0],[2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,0,0,0,0,0,1,1,0,0,1,0,2,0,0,0,0,0,1,0,0],[0,0,0,1,0,1,0,1,0,0,0,1,0,2,1,0,1,0,0,0,1],[1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[2,1,0,0,2,2,1,1,0,2,0,0,1,0,0,0,0,1,1,1,0],[0,0,0,1,0,0,0,1,0,0,2,0,0,0,1,1,1,0,0,0,1],[0,2,1,1,0,1,1,1,2,0,2,0,0,1,1,2,1,1,0,0,1],[0,0,0,0,0,0,0,0,2,2,1,0,0,1,0,0,0,0,0,1,0],[2,0,2,0,0,0,0,1,1,2,1,1,1,0,1,2,0,1,0,0,0],[0,0,1,1,0,1,0,2,0,2,0,0,0,1,1,2,1,1,0,1,1],[0,2,0,2,2,0,0,2,0,1,0,0,0,0,0,0,0,1,1,1,0],[2,1,0,0,1,1,0,0,2,2,0,0,2,1,0,0,1,1,1,0,1],[0,0,0,0,2,0,0,0,0,0,0,1,0,1,1,2,1,1,0,0,0],[0,2,1,2,1,0,1,1,2,0,0,0,0,0,2,0,0,1,1,1,1],[0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0],[1,1,1,1,1,1,1,1,0,0,0,0,0,1,3,2,1,1,0,0,1],[0,1,0,2,1,0,2,1,2,1,0,0,0,1,1,0,0,1,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,1,0,3,2,2,0,0,1,1,0],[0,1,0,1,2,0,1,1,0,0,0,0,0,0,1,0,0,1,0,1,1],[2,1,0,0,0,2,0,0,0,0,1,2,0,0,0,2,0,1,0,0,0],[1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0],[1,1,0,2,2,2,0,1,0,0,2,2,0,0,2,3,1,1,0,1,1],[1,1,2,1,1,1,2,1,0,0,0,0,1,1,2,1,1,0,1,0,1],[2,0,0,2,0,1,0,0,1,0,1,0,0,1,0,2,0,1,0,0,0],[2,2,0,0,2,2,1,0,0,0,1,0,1,1,0,2,1,1,1,1,0],[0,2,2,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1],[1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,1,0,0,1,2,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0],[1,1,0,0,2,2,0,0,0,0,1,2,0,2,0,1,1,1,1,0,0],[0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,1,0],[2,0,2,2,0,1,0,2,1,1,2,0,0,1,1,2,1,1,0,1,0],[1,2,2,0,1,1,1,0,0,2,1,0,0,1,0,0,1,1,1,0,1],[0,0,0,0,0,2,2,0,0,0,0,1,2,1,0,3,1,1,1,0,1],[2,1,2,2,0,1,1,1,0,0,0,1,1,1,0,1,1,1,1,0,1],[0,1,1,0,2,2,0,1,0,0,0,0,0,0,3,0,0,1,1,0,0],[1,2,0,2,1,1,1,0,2,0,0,0,0,0,0,1,0,1,0,1,0],[2,2,2,2,0,1,1,2,1,2,2,0,1,0,1,2,0,1,0,0,0],[0,2,1,2,1,0,0,2,1,0,0,0,0,0,0,0,0,0,0,1,1],[0,1,2,0,2,0,1,1,0,0,0,1,0,1,0,2,1,0,1,0,1],[0,2,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1],[0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0],[0,0,2,1,0,1,1,2,0,0,2,0,1,0,2,2,1,1,0,0,1],[0,1,0,1,0,2,1,2,0,0,2,1,1,1,1,2,1,1,1,0,0],[1,1,2,1,0,2,1,1,0,0,0,0,0,0,1,0,1,0,0,1,0],[0,0,1,0,0,1,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0],[2,0,2,0,0,2,0,0,0,2,1,1,1,0,0,0,0,1,0,1,0],[2,2,1,1,0,2,2,2,0,2,2,2,2,3,3,3,1,1,1,1,1],[2,1,2,1,0,1,2,2,0,2,1,1,2,1,3,3,1,0,1,1,1],[0,1,2,1,0,1,1,2,0,0,0,0,0,0,1,1,1,0,0,0,1],[0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0],[0,1,0,1,2,1,0,0,0,0,1,0,0,2,2,1,1,0,1,0,0],[1,1,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0],[1,2,2,1,1,2,2,0,1,2,1,0,2,3,0,0,1,0,1,0,1],[0,0,0,2,0,2,2,1,1,0,0,0,0,3,1,1,0,0,0,1,0],[2,0,0,2,2,2,0,0,2,1,0,2,0,0,0,0,0,1,0,1,1],[0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0],[2,1,0,1,0,0,0,0,0,0,0,0,1,0,1,2,0,1,0,0,0],[2,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0],[0,2,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0],[2,0,0,0,2,2,0,2,2,2,1,0,1,0,0,3,1,1,1,1,0],[1,0,0,1,2,1,0,1,0,0,0,0,0,1,1,1,0,0,1,0,1],[0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0],[1,0,0,2,0,2,0,1,1,2,2,0,1,0,0,2,1,0,1,1,1],[2,0,0,0,2,1,1,0,1,2,0,0,0,0,0,1,1,1,0,0,0],[0,2,1,1,1,0,1,1,2,1,0,0,0,1,1,0,1,0,1,0,1],[1,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,1,0,0],[1,0,2,1,0,1,0,0,0,0,2,0,1,2,3,2,1,0,0,0,1],[0,1,0,0,2,1,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0],[1,2,0,0,2,2,2,2,0,2,1,0,1,2,0,3,1,1,1,0,0],[1,0,2,2,0,0,1,1,1,1,0,0,0,0,1,3,1,0,0,1,1],[0,0,2,1,0,1,0,1,0,0,2,1,2,0,1,2,1,0,0,1,1],[0,2,2,0,1,1,1,1,0,0,0,1,0,1,0,1,1,0,1,0,1],[0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[1,2,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,0],[0,1,1,1,0,0,0,1,1,1,0,0,1,0,1,0,0,1,1,1,1],[0,0,0,0,0,1,0,1,0,2,0,0,0,0,0,2,0,0,0,0,1],[2,0,1,2,0,2,2,0,2,2,2,0,1,0,3,2,0,1,1,1,1],[1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,0],[1,1,2,0,2,0,2,1,0,0,0,0,0,1,1,0,1,0,0,0,0],[0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0],[1,0,0,0,0,2,0,0,2,0,0,1,1,0,1,1,1,0,0,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,0,3,0,0,1,0,0,1,0],[0,1,0,0,0,0,1,0,2,2,0,0,0,0,0,0,0,1,1,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0],[0,0,0,2,0,1,0,2,1,0,0,0,1,0,1,0,0,1,0,0,1],[2,1,2,2,0,1,1,1,1,2,2,0,0,1,1,2,1,1,1,1,1],[1,0,2,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,0],[2,0,0,0,0,1,1,0,0,0,2,2,1,0,0,0,1,0,0,1,0],[2,0,1,2,0,0,2,2,1,0,0,0,0,0,1,1,1,0,0,1,1],[0,0,1,2,1,2,0,1,1,0,0,0,0,0,1,3,1,0,0,0,0],[2,0,0,0,0,1,0,0,1,0,1,0,0,0,1,1,1,1,0,0,0],[2,0,0,0,0,0,2,2,0,0,1,0,1,1,1,2,1,0,1,0,0],[0,2,0,1,2,0,0,1,0,1,0,0,0,1,1,0,0,1,1,0,1],[2,0,1,1,1,0,2,1,2,0,2,0,0,1,3,0,1,1,1,1,1],[0,0,1,1,0,0,1,1,0,0,0,1,1,0,1,0,0,0,0,1,1],[0,1,0,2,1,1,1,1,2,0,1,0,0,3,1,1,1,1,1,0,0],[2,1,2,0,2,2,2,0,0,0,1,0,2,1,0,1,1,1,0,1,0],[2,2,0,0,2,2,1,0,0,0,0,2,1,2,0,2,1,1,1,0,0],[2,0,0,0,0,1,0,0,0,1,0,0,1,0,3,2,1,1,0,0,1],[1,1,1,1,1,1,2,1,0,1,0,0,0,0,1,1,1,0,1,0,1],[1,0,0,1,1,0,0,1,1,0,0,0,0,3,0,0,1,0,0,1,1],[1,0,0,0,0,1,1,0,0,2,1,0,1,0,0,2,1,1,1,1,0],[2,2,0,0,2,0,0,0,1,1,2,0,0,0,3,0,0,1,1,1,0],[2,1,1,1,0,0,2,1,0,1,0,0,0,0,1,0,0,1,1,0,1],[2,2,2,1,2,2,0,2,0,0,1,2,1,1,1,2,1,1,1,0,1],[1,2,1,2,1,2,2,1,1,2,0,0,0,3,3,1,1,0,1,1,1],[2,1,0,0,0,0,0,0,1,0,2,0,1,0,0,2,1,1,0,0,0],[0,1,0,0,1,0,1,0,0,0,0,0,1,1,0,0,1,1,1,1,0],[0,0,2,0,2,0,1,0,2,0,0,0,0,0,0,0,0,1,1,0,1],[0,0,2,0,0,1,2,2,1,0,0,2,0,0,1,0,0,0,1,1,1],[1,0,0,0,0,1,0,2,0,2,1,0,0,0,0,3,1,1,0,1,1],[0,2,0,1,0,1,0,0,1,0,0,0,1,0,3,0,0,0,0,1,0],[0,2,1,2,2,0,0,1,0,1,2,0,0,2,3,0,0,1,1,1,1],[2,2,0,0,2,1,1,0,0,1,1,2,1,2,1,0,1,1,1,1,0],[2,0,2,0,0,1,0,2,0,0,0,1,1,1,3,0,1,1,0,0,1],[0,1,0,0,2,0,1,0,0,2,1,0,0,0,0,0,0,1,1,1,1],[0,1,0,0,1,1,1,1,2,0,2,0,0,1,0,1,1,0,1,0,0],[0,0,1,0,2,0,1,2,1,1,0,0,0,0,0,2,0,1,1,1,0],[1,0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0],[0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0],[0,1,0,1,2,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0],[0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1],[0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,1,0],[1,2,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0],[1,2,0,2,2,2,1,0,0,1,1,1,1,2,0,3,1,1,0,1,1],[1,0,0,0,0,0,0,0,0,2,1,0,1,0,0,0,1,1,1,1,0],[1,1,0,0,0,1,0,2,0,0,0,0,0,0,0,2,1,0,1,0,0],[1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0],[0,0,2,2,0,1,0,0,0,2,0,0,1,0,1,2,1,1,0,1,0],[2,1,0,0,2,2,1,1,0,2,1,2,2,2,0,2,1,1,0,1,0],[0,0,2,2,2,0,0,0,0,2,2,1,2,0,0,0,0,1,1,1,0],[0,0,2,1,2,0,2,1,1,1,0,0,2,0,1,0,1,1,1,1,1],[1,0,1,0,0,0,2,0,1,0,0,0,0,0,2,1,0,0,0,1,1],[2,2,1,1,0,2,0,2,1,0,2,2,2,1,3,1,1,1,1,1,1],[1,1,1,1,1,1,1,1,0,0,0,1,0,1,0,1,1,0,0,0,1],[2,1,1,2,0,0,2,2,0,2,2,0,2,3,3,1,1,1,1,1,1],[1,2,2,2,1,1,2,0,0,0,0,0,0,2,3,1,0,1,1,1,0],[2,0,2,1,0,0,1,2,0,0,1,1,1,1,0,2,1,1,1,1,1],[0,0,0,2,0,1,0,2,1,0,0,2,1,0,1,2,1,0,0,0,1],[0,0,0,0,2,2,1,0,0,1,0,1,0,0,0,0,0,1,1,1,0],[2,1,0,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,1,0,0],[2,0,0,0,0,1,0,0,0,2,2,0,1,1,0,2,1,1,0,0,0],[0,0,2,1,0,2,1,1,0,0,0,1,0,0,2,1,1,0,0,0,1],[0,0,1,1,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,1],[0,2,0,2,0,0,2,1,1,1,0,0,0,0,3,0,0,1,1,1,1],[1,1,0,1,0,1,0,0,1,0,1,0,1,2,3,0,0,1,0,0,0],[0,1,1,0,0,0,1,1,2,1,0,1,0,0,1,0,0,1,0,0,1],[1,0,2,2,0,1,0,1,1,0,0,2,1,3,0,1,1,1,1,1,1],[2,0,0,0,0,1,0,0,0,0,1,0,1,0,3,2,1,1,1,0,0],[0,0,2,2,2,2,0,0,2,2,2,2,1,3,3,1,1,1,1,1,1],[0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1],[0,0,2,1,0,0,1,1,0,0,2,0,0,1,1,1,0,0,0,0,1],[1,1,0,0,2,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0],[0,0,0,2,2,0,0,2,0,1,0,0,1,0,1,2,0,1,0,1,1],[1,1,0,1,1,0,0,0,0,1,0,0,0,3,0,0,1,0,0,0,0],[0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,0,0],[2,0,0,0,0,1,0,0,0,0,1,0,2,0,0,2,1,1,0,0,0],[2,0,1,2,2,0,0,2,0,2,0,0,1,0,0,2,1,0,0,0,1],[0,1,0,2,0,0,0,1,1,1,1,0,0,0,1,0,1,1,0,1,0],[1,0,0,0,0,1,0,2,2,2,2,2,1,0,1,2,1,0,0,0,1],[0,2,0,1,1,0,2,1,0,0,0,0,2,0,0,0,0,1,0,1,1],[1,2,1,2,1,0,0,1,0,0,0,0,0,0,1,0,1,1,0,1,1],[0,0,1,1,0,0,0,1,0,0,2,0,1,0,1,0,0,0,1,0,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[1,2,0,0,2,0,2,1,1,1,0,0,0,0,3,0,1,0,1,1,1],[2,1,0,0,2,2,1,0,0,0,2,1,1,1,0,1,1,1,1,1,0],[1,0,2,1,2,1,1,0,2,0,0,2,0,2,3,1,0,0,1,1,1],[0,2,0,0,1,2,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1],[1,0,1,0,0,1,1,0,0,2,0,1,0,1,0,1,1,0,0,0,0],[0,0,0,2,1,1,0,0,0,2,2,0,1,0,0,1,1,0,0,1,0],[0,0,1,1,0,0,0,1,1,0,2,2,1,1,1,0,1,0,0,1,1],[2,0,0,0,0,1,0,0,0,2,0,1,1,0,0,3,1,1,1,1,0],[0,1,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,1],[1,0,0,0,1,2,2,0,0,0,2,0,1,1,0,3,1,0,1,0,0],[0,2,0,0,0,0,1,0,0,0,1,2,1,2,0,0,0,0,1,1,1],[1,2,0,1,1,0,2,0,2,0,0,0,0,0,3,0,0,0,1,1,1],[2,1,1,0,2,0,1,2,0,0,2,1,2,1,1,0,1,1,1,0,1],[0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0],[0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,1,1],[0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0],[0,2,0,0,2,0,1,0,0,0,1,1,1,0,0,2,0,0,0,1,0],[0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0],[0,0,2,1,0,1,0,0,0,0,1,0,1,0,0,2,1,1,0,0,1],[1,0,0,0,0,2,0,0,2,2,1,0,1,0,0,2,1,0,0,1,0],[0,2,0,1,1,0,2,1,0,0,0,0,0,0,0,0,0,0,0,0,0],[2,0,2,1,0,2,0,2,0,0,1,0,1,0,1,1,1,1,0,1,1],[0,2,0,1,1,0,0,1,2,2,0,1,0,1,1,1,1,0,1,0,1],[0,2,2,2,1,0,1,1,0,0,0,0,0,0,2,0,1,0,1,0,1],[1,1,0,0,1,0,1,0,0,0,0,0,0,2,0,0,0,0,0,0,0],[0,1,1,2,2,0,2,2,2,0,2,0,0,0,0,2,0,0,0,0,1],[0,1,2,1,2,2,1,2,0,0,0,0,0,3,1,2,0,0,1,0,1],[0,2,2,1,1,1,1,0,0,0,0,0,0,2,0,1,1,0,1,0,0],[0,2,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0],[1,0,0,1,1,2,1,0,0,0,1,1,1,2,0,3,1,1,1,1,0],[0,1,1,1,2,0,2,0,2,0,0,1,2,1,1,0,0,1,1,0,0],[0,2,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0],[0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0],[1,0,0,1,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1],[2,1,0,0,2,2,1,0,0,0,1,1,1,1,0,3,1,1,1,0,1],[0,0,1,1,0,1,0,0,1,0,0,2,0,0,1,0,0,0,1,1,1],[1,1,0,0,1,2,1,0,0,0,1,0,0,1,0,1,0,1,1,0,1],[0,1,1,2,0,1,1,2,0,0,0,0,0,1,3,2,0,0,1,0,1],[1,0,2,2,0,1,0,2,1,0,2,0,0,0,1,1,1,0,0,1,1],[1,0,0,0,2,2,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0],[1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1],[1,2,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0],[1,1,0,2,0,1,1,0,0,0,1,1,0,0,0,1,1,0,1,0,0],[0,2,1,2,1,1,2,2,2,0,0,0,0,3,3,0,1,0,1,1,0],[1,0,0,1,0,1,0,0,0,1,0,0,2,2,0,3,0,1,1,1,0],[1,2,0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,1,0,0],[0,2,0,0,1,1,2,2,2,0,0,0,0,0,0,0,0,1,1,1,1],[0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1],[0,0,0,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,1],[0,1,2,1,0,0,1,2,0,0,0,0,0,0,0,0,0,1,1,0,1],[0,0,0,2,0,1,1,1,1,0,2,0,1,0,0,2,1,0,0,1,0],[0,0,2,1,0,0,0,2,0,0,1,0,0,1,1,3,1,1,0,0,0],[0,0,0,0,2,0,2,0,0,1,1,0,0,0,0,0,0,1,0,1,0],[1,0,2,0,0,1,0,1,1,0,0,0,0,3,1,1,1,0,0,1,1],[2,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,0,1],[0,1,1,1,1,2,1,2,0,0,2,1,1,0,3,2,1,1,1,0,0],[0,1,0,0,2,0,1,0,2,0,0,1,0,1,0,0,1,1,0,0,1],[2,1,0,0,2,0,0,2,1,2,1,0,1,0,0,3,1,1,0,1,0],[2,2,0,0,2,1,1,2,0,0,0,0,2,0,0,2,1,1,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,1,1],[1,2,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,0,0,1,1],[2,1,0,0,0,1,0,0,2,2,1,0,1,0,0,2,1,0,1,1,1],[0,1,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0],[0,2,0,0,1,1,2,0,0,0,0,0,0,0,2,0,0,1,1,1,0],[0,1,2,1,1,0,2,2,2,0,0,0,1,2,0,0,1,1,1,0,0],[2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,2,0,1,1,0,0],[0,0,0,2,0,0,0,1,1,1,0,0,0,0,1,0,0,0,1,1,1],[2,0,0,1,0,1,1,0,0,0,2,2,1,2,0,2,1,1,0,0,0],[0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0],[1,0,0,0,1,2,1,1,2,0,0,1,0,1,0,0,1,1,1,0,0],[2,0,2,2,0,2,2,2,1,2,0,0,1,0,1,1,0,1,0,1,1],[1,0,1,0,0,2,1,1,0,0,0,0,0,0,1,1,1,0,0,1,0],[0,0,1,2,0,0,2,0,2,1,0,0,0,0,0,0,0,0,0,1,0],[2,0,1,0,0,1,0,0,0,0,0,0,1,0,0,2,1,0,1,0,1],[2,1,0,2,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0],[0,0,2,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0],[1,0,1,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1],[1,0,0,0,0,0,1,0,1,0,1,0,0,1,0,2,1,0,0,0,0],[0,0,0,0,0,1,2,0,0,0,0,0,1,2,0,0,1,1,1,0,0],[1,0,0,2,0,1,0,2,0,2,2,2,1,1,0,2,1,1,1,1,1],[1,0,1,2,2,0,2,1,1,1,0,0,0,0,3,1,0,1,1,1,1],[1,0,0,0,1,2,1,0,2,0,0,0,0,2,0,3,0,0,0,1,0],[0,0,0,0,0,2,1,0,0,2,0,0,2,2,0,0,1,0,1,0,0],[2,1,2,2,0,1,0,2,0,1,2,0,1,0,3,1,1,1,0,1,1],[2,0,0,0,1,1,2,0,1,0,1,0,0,0,1,1,1,0,0,1,1],[2,1,2,2,2,0,0,2,2,2,2,0,2,3,3,3,1,1,1,0,1],[0,2,1,0,1,1,2,1,2,0,0,2,0,3,2,0,1,0,1,1,0],[0,1,2,1,2,1,0,2,2,0,0,0,1,3,0,1,0,0,0,1,1],[0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0],[1,0,0,0,0,0,0,1,1,2,1,1,1,0,0,0,0,0,0,0,0],[0,2,0,0,2,0,2,0,0,0,1,0,0,0,0,0,0,0,0,1,0],[2,0,0,0,0,0,0,0,1,0,2,2,1,0,1,0,0,1,0,0,1],[0,1,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,0,0],[0,2,0,2,1,1,1,2,2,0,0,0,0,0,1,0,0,1,1,1,1],[2,2,2,2,0,0,1,2,1,2,0,0,1,0,1,2,1,1,0,0,1],[1,2,1,2,0,0,0,1,1,2,0,0,0,0,2,0,1,0,1,0,0],[0,0,1,2,2,2,2,1,1,1,0,0,0,0,3,0,0,1,1,1,1],[1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1],[2,2,0,0,2,2,1,0,0,2,0,1,2,0,0,0,1,1,1,1,0],[0,0,1,1,0,0,0,0,1,2,0,0,0,0,3,0,0,0,0,1,1],[1,0,0,2,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[1,0,0,0,1,1,1,0,1,0,1,0,1,0,0,1,1,1,1,1,0],[2,0,0,2,0,0,0,0,1,1,0,0,0,3,0,0,1,1,1,1,1],[2,1,2,2,0,1,0,2,1,1,1,0,0,0,0,3,0,1,1,0,0],[0,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,1,2,0,0,1,1,1,0,0,1,0,0,1,0,1,0],[1,0,0,0,1,1,1,0,0,2,0,0,0,0,0,2,1,0,0,1,0],[1,1,2,1,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,0,0,0,0,0,2,0,2,0,0,0,0,0,0,1,0,1,1],[0,2,1,0,2,0,1,1,2,1,0,0,0,0,0,0,0,1,1,0,0],[1,2,0,0,2,0,0,0,0,2,1,0,1,1,0,1,1,1,1,0,0],[0,0,2,2,1,1,0,0,0,1,1,1,1,2,1,2,1,1,1,1,0],[1,0,2,0,1,2,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1],[2,2,2,0,2,2,2,0,0,2,1,0,1,1,3,3,0,0,1,1,1],[1,0,1,1,0,0,0,2,1,0,2,0,0,1,1,0,0,0,0,0,1],[0,0,2,2,2,1,1,2,2,2,0,2,2,3,1,0,1,1,0,0,1],[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1],[0,1,0,0,1,0,1,0,0,1,0,0,0,0,2,0,1,0,1,0,0],[2,0,2,0,0,2,0,0,0,0,0,0,1,2,0,1,0,0,0,1,1],[0,1,2,2,0,1,2,1,0,0,0,0,0,2,2,0,1,0,1,1,1],[0,0,0,0,0,0,0,1,0,1,1,0,0,2,1,0,0,1,0,1,1],[0,2,0,2,1,0,2,0,0,0,1,0,0,0,0,0,1,0,1,1,0],[1,2,2,0,1,1,1,0,0,0,0,0,0,2,0,3,0,0,0,0,1],[1,0,1,0,1,0,0,1,0,0,2,0,2,1,1,1,1,0,0,0,1],[2,0,0,2,0,0,1,2,1,1,2,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,1,0],[1,0,0,0,1,1,2,0,0,0,0,1,0,1,0,0,1,0,0,1,0],[0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,0,0],[2,0,0,0,2,1,1,0,0,2,1,1,1,2,0,3,0,1,1,1,0],[0,0,0,2,0,0,2,0,2,0,0,0,0,0,1,1,1,0,0,0,0],[1,0,2,0,0,2,0,2,1,0,1,0,1,0,1,2,1,0,0,1,1],[1,2,0,0,1,2,2,0,0,0,1,0,0,2,0,1,1,1,1,1,1],[1,1,0,0,2,1,1,1,2,2,0,1,1,2,2,2,1,1,1,1,0],[0,0,2,0,0,0,0,1,1,1,2,0,0,0,1,0,0,0,0,1,1],[1,1,1,2,0,0,0,1,1,0,2,0,1,1,1,0,0,1,0,0,1],[0,2,1,1,0,0,0,2,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,1,1,1,0,0,0,1,0,2,2,0,0,0,0,0,0,0,0,0,1],[0,2,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0],[2,0,2,2,0,1,0,1,0,2,2,0,1,0,2,2,1,1,1,0,1],[2,2,0,0,2,2,1,2,0,2,1,2,1,2,0,3,1,1,1,1,1],[1,2,0,1,0,1,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0],[2,2,1,2,2,0,0,0,1,1,0,0,0,0,3,0,0,1,1,1,1],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[0,1,1,2,1,0,2,1,2,1,0,0,0,0,0,0,1,1,1,1,1],[0,2,0,0,0,0,1,1,0,0,0,0,0,1,2,0,1,0,1,1,0],[0,0,0,1,0,0,0,0,0,0,0,1,2,0,1,2,0,0,1,0,1],[0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,0],[1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,0,1,1,0],[2,1,0,0,1,2,1,2,0,0,1,0,1,1,1,1,1,0,0,1,1],[2,0,2,0,1,1,0,1,0,0,2,0,0,0,1,1,0,1,0,0,1],[1,2,0,0,1,0,2,0,0,0,0,0,0,1,0,0,1,0,1,1,0],[0,0,1,2,2,0,0,1,1,0,0,0,0,1,1,0,0,0,0,1,1],[0,0,0,0,2,0,2,1,2,2,0,0,0,1,1,3,0,0,0,1,1],[1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0],[2,0,2,0,2,0,2,0,0,0,1,0,1,0,0,2,1,1,0,1,0],[0,1,2,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0],[1,0,0,0,1,0,0,0,1,0,0,0,1,2,0,0,0,0,1,1,0],[1,0,1,0,0,1,0,0,0,2,1,0,1,0,0,2,1,0,0,1,0],[1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0],[1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1],[0,2,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,1],[0,0,0,0,0,1,0,0,0,2,0,0,0,1,0,0,1,1,0,0,0],[1,0,2,0,0,1,2,1,2,0,0,0,0,3,2,1,1,0,1,1,0],[0,0,0,1,2,0,1,2,2,0,0,0,0,0,0,0,0,0,1,0,0],[0,0,0,1,0,1,0,0,2,0,0,0,0,0,0,2,0,0,0,1,0],[0,1,2,0,1,2,1,1,0,0,1,0,0,1,0,1,1,0,0,0,0],[0,2,2,0,2,2,0,1,2,0,0,2,0,1,2,1,1,0,1,1,0],[0,0,0,2,0,1,2,1,0,0,0,2,0,0,1,2,0,1,0,1,1],[2,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,1,0,0,0],[2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,3,0,1,1,1,1],[0,2,1,0,2,0,1,0,0,1,0,0,0,1,3,3,0,0,1,1,0],[2,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,1,0,1],[0,0,0,2,0,0,0,1,1,0,2,0,0,0,1,0,0,0,0,1,1],[0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0],[0,1,1,0,2,0,0,1,0,2,0,0,0,0,2,2,0,1,1,0,0],[1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0],[0,2,0,0,2,2,1,0,0,2,1,1,1,1,0,2,1,0,1,1,0],[0,0,2,0,1,1,2,1,1,0,0,0,0,3,2,1,1,0,0,0,0],[0,1,1,1,2,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,1],[0,2,1,2,0,2,2,2,2,0,0,0,0,0,3,0,1,1,1,1,1],[0,2,0,0,2,0,2,0,0,1,1,2,0,0,0,1,0,1,1,1,0],[0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0],[2,1,1,0,0,1,0,0,0,0,0,2,0,1,3,0,1,0,1,0,0],[0,2,0,1,2,0,2,0,0,2,1,1,1,1,0,3,1,0,1,1,0],[2,2,0,0,2,2,1,2,0,2,0,0,2,0,0,3,1,1,0,0,0],[0,2,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0],[1,0,1,0,0,1,0,0,1,2,2,0,1,0,0,1,0,0,1,0,1],[0,0,1,1,0,0,0,1,1,1,0,2,0,0,1,0,1,1,1,1,0],[0,2,0,0,2,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0],[2,2,2,2,1,1,2,0,2,0,2,0,0,0,0,3,0,0,1,1,1],[2,2,2,2,1,2,2,0,2,0,2,1,2,0,1,3,1,1,1,0,1],[2,2,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0],[0,0,0,0,0,0,0,0,0,2,0,0,1,0,0,0,0,0,0,1,0],[1,1,1,1,0,0,1,1,0,0,0,2,0,1,2,3,1,1,1,0,1],[2,2,0,0,2,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,2,1,0,0,0,0,1,0,2,0,0,1,0,1,0,1,1,0,1,1],[0,2,0,2,2,1,1,0,1,0,0,0,1,0,0,2,1,0,0,1,0],[0,2,0,0,2,0,2,0,0,0,0,0,0,0,0,0,0,1,1,1,1],[0,1,0,0,0,0,0,0,0,0,0,0,0,3,1,1,0,0,0,1,0],[0,2,1,1,1,0,0,1,0,1,0,0,0,0,1,0,1,0,1,0,1],[1,2,0,0,0,2,1,0,1,0,0,0,1,1,2,1,1,0,1,0,0],[0,2,1,1,2,2,0,2,0,0,0,0,1,1,1,1,0,1,1,0,1],[1,1,0,0,2,0,2,0,0,1,0,0,0,2,0,1,1,0,1,1,0],[0,2,0,2,0,0,1,1,0,1,2,0,0,2,0,0,0,1,1,1,0],[1,0,0,2,0,0,1,0,1,2,1,0,1,0,0,1,1,0,0,0,0],[1,1,2,2,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0],[0,0,0,2,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,1,0],[2,1,0,0,0,2,1,0,2,2,2,0,0,1,0,2,1,1,1,0,0],[0,0,1,0,0,0,0,0,1,2,1,0,0,2,0,3,1,1,0,0,1],[0,0,2,2,2,2,1,2,1,0,1,1,1,3,1,2,1,1,1,0,1],[2,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1],[0,1,1,1,0,0,2,2,2,0,0,0,1,1,2,0,0,0,0,1,1],[0,0,0,2,1,0,0,2,1,1,0,2,2,2,3,0,1,1,1,1,1],[2,1,2,0,2,2,1,2,0,0,2,1,1,3,1,2,1,0,1,0,1],[1,2,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1],[0,1,0,0,2,1,2,0,0,0,0,2,0,1,0,2,1,1,1,1,0],[1,0,0,0,0,1,1,1,1,2,0,0,0,0,0,1,0,0,0,0,0],[1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1],[2,0,0,0,1,1,1,1,0,0,1,0,0,2,2,1,0,0,1,1,0],[1,0,2,0,1,2,0,0,1,0,0,2,0,3,1,1,1,0,1,1,1],[2,1,2,2,2,2,2,2,2,2,2,2,2,3,3,0,1,1,0,1,1],[0,0,1,2,1,0,2,1,0,0,0,0,0,0,1,0,0,0,1,0,1],[2,0,2,1,0,0,0,1,0,0,2,0,1,1,0,1,1,1,1,0,0],[0,0,2,0,0,1,2,0,0,2,2,0,1,0,0,2,0,0,0,0,0],[1,1,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,0,1,0],[0,0,0,1,0,2,0,0,0,2,0,1,2,0,1,3,1,1,0,0,0],[0,1,2,1,2,2,1,2,0,0,2,0,0,3,0,0,1,1,1,0,1],[0,0,1,1,0,0,0,1,0,2,0,1,1,0,1,0,0,0,0,1,1],[0,0,1,1,0,0,1,1,0,0,0,1,0,0,1,0,0,1,1,0,1],[1,0,2,2,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,1],[0,1,0,0,0,2,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0],[1,0,0,0,1,1,2,1,0,1,0,2,0,2,1,3,0,1,1,1,1],[0,0,2,2,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,1],[1,0,0,0,0,1,0,1,1,0,2,0,0,0,1,1,1,0,0,0,0],[1,1,1,1,1,1,2,1,0,2,0,0,0,1,2,1,1,0,0,0,0],[1,0,2,2,0,1,0,1,1,0,2,0,0,3,0,1,0,0,1,0,1],[1,0,2,0,2,1,0,1,0,0,0,0,0,0,2,1,1,0,1,0,0],[0,0,0,0,2,0,1,0,0,1,0,0,0,0,0,3,0,1,1,1,0],[0,0,1,0,0,0,0,0,0,1,0,2,1,2,0,0,0,1,0,1,0],[0,0,0,0,1,0,0,0,0,0,0,0,2,0,0,1,0,0,1,1,0],[0,1,1,0,2,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1],[0,1,2,1,1,1,2,2,2,0,0,0,0,1,0,1,1,0,1,1,1],[0,2,0,0,2,0,1,1,0,1,2,1,2,3,3,0,0,1,1,1,1],[0,0,1,2,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1],[2,0,0,0,0,1,0,0,0,0,0,0,1,1,0,3,1,1,0,0,0],[2,0,2,2,0,1,0,1,0,0,0,0,0,0,3,1,1,1,1,1,0],[0,2,0,0,2,2,1,1,0,0,1,1,1,0,0,0,0,1,0,1,0],[0,1,0,0,0,1,1,0,0,1,0,0,0,0,3,0,0,1,1,1,0],[0,0,0,0,0,2,0,0,1,0,1,0,0,0,1,0,0,1,0,1,0],[1,2,0,0,1,1,1,0,1,2,0,0,1,2,0,3,1,1,1,1,0],[2,2,0,2,2,2,2,1,2,2,1,2,2,0,3,3,1,1,1,1,1],[1,1,0,1,0,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0],[0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,1,1,0,1],[2,2,1,2,2,1,0,1,1,2,2,0,1,0,3,2,1,1,0,1,1],[0,0,0,2,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,1],[1,0,0,0,0,1,0,0,0,2,1,0,1,2,0,2,1,0,0,1,0],[0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,2,1,1,0,0,0],[1,1,2,1,2,1,2,1,0,0,0,0,0,3,1,2,0,0,1,1,1],[0,2,1,1,1,1,1,2,0,0,0,0,2,1,1,1,0,0,0,0,1],[1,1,2,1,0,0,1,2,0,0,0,0,0,0,2,0,0,1,1,0,1],[0,1,2,2,2,2,2,1,0,2,2,0,2,0,1,1,1,1,1,0,0],[0,1,0,0,2,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,1,1,2,0,0,0,0,0,0,0,0,0,3,0,0,1,0,0,1],[1,0,0,0,0,1,1,1,0,0,0,1,0,1,0,0,1,1,1,0,1],[2,1,0,0,0,2,1,0,0,2,0,1,0,1,0,0,1,1,1,0,0],[1,1,2,0,2,2,0,0,2,0,0,1,1,1,0,2,1,1,1,0,1],[1,1,1,0,2,2,1,1,0,0,0,2,0,0,0,0,0,1,1,0,0],[0,1,0,0,0,0,0,0,2,1,0,0,0,0,0,0,0,1,1,1,0],[1,0,0,2,0,0,2,1,0,0,0,0,0,0,1,0,0,0,1,1,0],[1,0,2,0,0,1,1,0,2,0,0,0,0,0,1,0,1,0,1,1,0],[0,1,0,0,0,0,0,0,0,2,0,0,0,1,1,1,0,0,0,0,0],[0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,1,1],[1,0,2,2,0,1,0,1,2,0,0,0,0,3,1,1,1,0,0,1,1],[2,1,0,0,2,1,0,0,0,0,1,1,1,1,0,2,1,0,1,0,0],[2,0,0,1,2,1,1,2,0,0,0,0,0,1,1,1,1,0,1,1,1],[0,1,0,0,1,1,0,0,2,0,2,0,0,3,0,0,1,0,1,1,0],[2,0,2,2,2,1,1,0,2,2,0,1,2,0,1,3,0,0,1,1,0],[0,1,1,1,2,2,0,1,0,0,0,0,0,0,1,0,1,1,1,0,1],[2,0,0,2,0,1,0,0,0,1,2,0,2,0,0,0,0,0,1,0,0],[1,0,0,0,1,1,0,1,0,0,0,0,0,0,2,2,1,0,0,0,0],[1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,2,0,0,1,0,1,1,0],[2,1,0,1,0,0,2,0,2,0,0,0,0,0,0,0,0,1,1,0,0],[2,0,0,2,0,1,0,1,1,2,2,0,0,0,2,0,1,1,0,1,1],[0,0,2,2,0,0,0,1,2,0,0,0,0,1,1,0,0,0,0,0,1],[0,0,1,1,0,0,0,1,1,0,0,0,0,3,1,0,0,1,0,1,1],[2,2,0,0,0,0,2,0,0,0,1,1,1,1,3,0,1,1,1,0,1],[0,2,2,1,0,2,2,0,2,1,1,2,2,3,3,3,0,1,1,1,1],[2,0,0,0,2,0,0,0,0,0,1,0,0,1,0,2,1,1,0,0,0],[2,1,0,1,2,0,2,2,0,0,2,0,1,2,1,2,1,0,1,0,0],[0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1],[1,0,0,2,2,1,0,0,0,0,1,1,1,0,0,1,0,1,1,1,0],[0,0,0,0,0,0,2,0,0,0,0,0,1,0,0,0,0,0,1,0,0],[0,0,0,2,1,0,2,1,2,0,0,0,1,2,0,0,1,1,0,1,1],[0,2,0,2,1,2,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,1,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[1,1,2,2,1,1,1,1,0,0,0,1,0,1,1,0,1,1,0,1,1],[2,2,2,2,2,1,0,1,2,2,2,2,1,3,3,3,1,1,1,0,1],[2,0,0,0,0,1,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0],[2,2,0,0,2,2,1,0,0,0,1,0,1,2,3,3,1,0,1,1,1],[2,0,2,0,2,2,0,2,0,0,0,0,1,0,1,2,1,1,0,1,1],[2,0,0,0,0,1,1,0,0,2,1,1,0,0,0,2,1,1,0,0,0],[0,0,2,2,0,0,0,1,0,0,0,0,2,0,0,1,0,1,0,0,1],[0,0,0,0,0,0,2,0,1,0,0,1,0,0,0,2,0,1,1,1,0],[1,1,0,0,0,0,1,0,0,0,0,0,1,2,0,1,0,0,1,0,0],[0,2,1,2,1,2,2,1,2,1,0,2,0,3,0,3,0,1,1,1,1],[1,0,1,1,0,0,0,2,1,1,2,0,1,0,2,0,0,0,0,0,1],[0,2,0,1,0,2,2,0,1,2,0,2,1,3,0,3,1,1,0,1,0],[0,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0],[0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,1],[2,2,0,2,0,2,2,0,2,0,1,1,2,2,2,3,0,1,1,1,0],[2,1,0,1,2,0,1,1,0,0,0,1,0,1,1,0,0,0,1,1,1],[0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0],[0,0,0,0,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,0,0],[0,2,0,2,1,0,1,0,2,0,0,0,0,2,0,0,0,0,0,1,1],[0,0,0,2,0,0,0,0,0,0,0,0,0,2,0,0,0,0,0,1,0],[0,0,0,1,0,0,0,2,0,2,0,0,0,0,1,0,1,0,0,0,1],[2,0,0,0,2,2,0,0,0,2,1,1,1,1,3,3,1,1,1,1,0],[0,0,1,2,2,0,0,2,2,1,0,0,0,3,1,3,0,0,1,1,1],[0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1],[1,0,0,2,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0],[0,2,1,2,1,0,2,0,0,0,0,2,0,0,2,0,0,0,1,1,1],[1,2,0,1,2,1,1,0,0,2,1,2,1,3,3,2,0,1,1,1,1],[0,1,2,1,0,0,1,0,2,0,0,0,1,0,1,2,0,0,1,1,0],[2,2,2,0,0,0,1,0,0,1,0,2,0,0,0,3,0,1,1,1,0],[1,1,0,1,0,2,0,0,0,2,0,0,0,1,1,1,1,0,0,1,1],[2,1,2,1,1,1,1,2,2,2,0,0,2,3,1,1,1,0,1,0,1],[2,2,1,1,2,0,1,2,0,0,1,1,0,1,1,1,0,1,0,0,0],[0,1,0,2,0,0,1,2,0,2,1,0,1,1,1,3,1,1,1,0,1],[0,1,0,0,1,1,2,0,1,1,2,0,0,2,0,3,0,0,1,1,0],[2,0,0,0,2,2,1,0,0,0,1,0,1,2,0,3,1,1,1,0,0],[0,1,0,0,2,0,0,0,0,1,2,1,0,0,3,0,0,0,1,1,1],[2,0,0,0,0,1,1,0,1,0,1,0,2,1,1,2,1,1,1,1,0],[0,0,1,1,0,0,0,1,1,0,0,1,0,1,1,0,0,0,0,0,1],[0,1,1,1,1,2,0,1,0,0,0,0,0,3,3,0,0,1,1,0,1],[0,2,0,2,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,1,0],[0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1],[0,0,0,2,0,0,2,0,0,0,0,1,0,0,0,3,1,0,1,1,1],[2,1,2,2,0,2,1,2,2,1,1,2,1,1,1,2,1,1,1,1,0],[2,1,2,1,2,2,1,0,0,0,0,0,1,1,0,0,0,1,1,0,1],[0,0,0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,1],[1,0,0,1,0,1,1,0,0,0,1,0,0,0,0,2,1,0,1,0,0],[2,1,0,0,1,2,1,0,0,2,1,1,2,0,1,2,1,1,1,0,0],[2,0,0,0,1,2,0,0,0,0,2,1,0,0,0,3,1,0,0,0,0],[0,2,0,0,1,0,2,1,0,0,0,0,0,0,0,0,1,0,1,1,1],[2,2,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,1,0],[1,0,2,2,0,1,0,2,0,0,0,0,1,0,1,2,1,1,0,1,1],[2,1,2,1,2,0,2,1,0,0,0,0,0,3,0,1,1,0,1,0,1],[0,2,2,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[2,0,0,0,0,1,0,0,0,0,1,1,0,3,0,3,0,1,0,1,1],[1,2,2,2,0,1,1,0,2,2,0,0,0,2,0,0,1,1,1,1,1],[0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,2,0,0,1,1,0],[2,0,0,0,0,2,0,1,0,0,0,1,1,0,0,0,1,0,0,1,0],[2,0,0,0,0,2,0,0,0,2,1,1,1,0,0,1,1,1,1,0,0],[0,0,0,0,0,0,0,1,0,0,0,0,0,2,0,0,1,0,0,1,0],[2,1,1,0,2,0,2,0,0,0,0,1,0,0,1,0,1,0,0,0,1],[0,0,2,1,2,1,1,1,0,0,0,0,1,0,1,0,0,1,1,0,1],[1,2,1,1,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0],[0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1],[1,0,0,1,0,1,2,2,1,0,2,0,0,0,1,0,0,0,0,1,1],[2,0,0,0,2,1,1,1,1,0,1,0,1,1,0,2,0,1,1,0,0],[1,2,1,2,0,1,0,1,2,0,0,0,1,0,1,2,1,0,0,1,1],[1,0,2,2,0,1,0,1,1,0,2,2,0,0,1,0,1,0,1,0,1],[0,1,0,1,2,2,2,1,0,0,0,0,1,1,1,1,0,1,0,1,1],[1,1,0,0,2,1,1,0,2,1,0,0,0,1,0,2,1,0,1,0,0],[1,0,0,2,0,1,2,1,1,0,0,0,1,0,0,0,1,0,0,1,1],[0,1,1,0,2,0,1,1,0,1,0,0,0,0,1,0,0,1,1,0,1],[2,0,2,2,0,1,1,1,1,2,2,0,0,3,2,2,1,0,0,0,1],[2,1,0,0,2,2,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0],[0,2,0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,1,0],[0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,1,0,0],[1,0,0,0,0,1,0,0,0,0,2,0,0,0,0,0,0,0,1,1,0],[1,0,1,2,0,0,0,2,1,0,0,0,0,0,0,0,1,1,0,1,1],[2,0,0,0,0,1,1,0,0,2,1,0,0,0,0,2,1,1,0,1,0],[1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1],[2,1,2,0,1,2,2,0,0,0,1,0,1,1,0,0,1,1,1,0,0],[0,1,0,2,1,0,2,1,0,0,0,0,2,3,1,0,0,1,1,1,1],[0,2,0,0,1,2,1,0,0,0,0,1,0,0,0,0,0,1,1,1,0],[0,1,0,2,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0],[0,1,1,1,1,0,0,1,1,1,0,0,0,0,2,0,1,0,1,0,1],[1,2,0,0,0,2,2,0,0,0,1,0,1,1,0,0,1,0,1,1,1],[2,2,2,2,1,2,1,2,2,1,0,0,0,0,3,0,0,1,1,0,1],[0,2,0,0,1,1,2,0,0,0,1,0,0,0,2,0,0,0,1,1,1],[2,2,0,0,0,2,0,2,0,2,2,0,1,2,3,3,1,0,1,0,0],[1,0,2,2,0,0,1,1,0,0,0,0,0,0,1,1,1,1,0,0,1],[2,2,1,0,0,2,1,2,1,0,1,1,1,1,2,0,1,1,1,0,1],[1,0,2,1,0,1,1,2,2,0,0,0,0,0,1,1,1,0,0,0,1],[0,2,0,0,1,0,2,2,1,0,0,0,2,0,2,1,0,0,0,1,1],[0,0,0,1,1,0,2,1,0,1,0,1,0,1,2,0,0,0,0,0,1],[2,1,0,0,1,1,0,0,1,2,0,0,0,1,0,0,1,0,0,0,0],[0,2,0,0,0,0,0,1,2,1,0,0,0,0,0,0,0,1,0,1,0],[0,2,1,2,0,2,1,0,0,0,2,1,1,1,1,0,0,1,0,0,1],[1,0,2,2,1,1,0,1,2,0,2,0,0,0,0,1,1,0,1,1,1],[0,2,2,1,2,2,0,2,1,2,2,0,1,1,3,2,0,1,1,0,1],[2,2,0,0,2,2,1,0,0,1,1,1,2,2,0,3,1,1,0,1,0],[0,0,2,2,1,1,0,0,0,2,0,0,1,2,1,1,1,0,0,0,1],[0,0,0,0,1,0,1,0,2,0,0,1,0,0,0,1,0,1,1,0,0],[2,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0],[0,2,1,1,1,0,2,1,0,0,2,1,0,0,2,0,0,0,1,1,1],[1,2,0,0,1,2,1,0,0,0,0,0,1,1,2,1,0,0,1,1,0],[0,0,1,1,0,0,2,1,0,0,0,0,0,1,1,0,0,1,0,0,1],[0,0,0,0,2,2,1,0,0,0,0,1,0,1,0,0,1,1,1,0,0],[0,2,0,0,1,0,1,2,0,0,0,0,0,0,0,0,0,0,1,1,0],[0,0,1,2,2,2,2,1,2,2,0,2,2,3,0,3,1,1,1,1,0],[0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,1,1],[1,2,2,0,1,1,2,1,0,0,0,0,0,3,2,1,1,0,1,1,0],[1,0,2,0,0,1,0,1,0,2,0,0,0,0,0,1,1,0,1,0,1],[0,1,0,2,2,1,0,0,1,0,1,0,0,2,0,3,1,1,1,1,1],[0,0,2,1,0,0,0,2,0,0,0,2,1,0,0,3,1,1,0,0,0],[1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0],[2,2,0,0,0,1,0,0,1,1,1,0,1,0,1,3,0,1,0,1,0],[0,1,1,1,2,0,0,1,0,2,0,0,1,0,0,0,0,1,0,0,1],[0,0,1,0,0,2,0,1,2,1,1,0,0,0,1,0,0,1,1,1,0],[0,0,1,2,0,0,2,1,0,0,0,0,2,0,3,0,1,1,0,0,1],[2,0,2,2,2,2,2,2,1,0,1,2,0,2,1,2,1,0,1,1,1],[0,0,0,0,0,1,0,0,0,2,0,0,0,0,0,0,0,1,0,1,1],[0,0,2,2,0,1,1,1,1,2,2,0,1,1,1,2,1,1,0,1,1],[0,0,0,2,0,0,0,1,0,0,2,0,0,0,0,1,0,0,0,1,1],[0,0,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,1,1],[0,1,0,1,2,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1],[0,2,0,2,1,0,2,0,2,0,0,0,0,0,0,0,0,0,1,0,1],[2,2,2,1,2,2,0,2,1,2,0,0,1,0,1,2,0,0,1,1,1],[0,1,1,2,1,0,2,2,0,0,0,0,0,0,2,0,0,0,1,1,1],[0,1,2,1,2,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0],[1,0,2,2,1,1,0,2,1,0,0,0,0,0,1,1,0,0,1,0,1],[2,1,0,0,0,0,2,0,1,0,0,0,0,0,0,0,0,1,0,0,0],[0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,1,1,0,0,1],[0,0,0,0,2,0,0,0,0,0,1,0,0,2,0,1,1,0,0,0,0],[0,2,0,0,1,2,1,0,0,0,0,0,0,0,1,0,0,1,1,1,0],[1,1,0,0,0,1,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1],[2,1,0,0,0,1,1,0,0,1,1,0,1,0,0,2,1,1,0,1,1],[1,0,2,0,1,2,0,0,0,0,0,0,0,0,0,2,0,0,1,0,0],[2,0,0,2,2,2,1,0,0,0,0,1,1,0,1,2,1,1,1,0,0],[2,0,0,0,0,0,0,0,0,0,1,0,0,2,1,0,0,0,0,0,0],[2,1,2,1,0,1,0,2,2,0,2,1,1,3,1,2,0,0,1,0,0],[2,2,0,0,0,0,0,0,0,2,1,2,1,2,0,1,1,1,1,0,0],[0,1,1,0,2,0,1,0,0,0,0,0,0,0,1,0,1,1,1,1,1],[1,0,0,2,0,1,1,1,2,2,0,0,0,0,0,1,1,0,1,1,0],[2,0,0,2,0,1,2,2,2,2,1,0,0,0,3,2,1,1,0,1,1],[2,1,0,0,0,1,0,0,0,1,2,0,1,0,0,0,0,1,0,1,0],[0,0,1,0,2,0,2,1,0,0,1,0,0,0,1,0,1,1,1,0,0],[1,0,2,1,0,1,0,0,0,2,0,0,0,0,1,1,1,0,1,0,1],[0,0,1,1,2,0,0,1,1,1,0,0,0,0,1,0,0,1,0,1,1],[2,0,0,2,2,1,0,2,0,0,1,0,1,2,1,2,1,1,0,1,0],[0,0,0,0,0,2,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0],[1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0],[0,2,2,2,0,1,0,0,0,2,1,0,1,1,0,3,1,1,0,1,1],[2,2,1,2,0,0,0,1,1,1,0,0,0,0,1,1,0,1,0,1,1],[2,0,0,2,0,1,2,0,0,0,1,1,1,3,0,2,1,1,0,0,0],[2,2,1,1,0,0,0,2,0,2,2,0,1,1,3,1,1,1,0,0,0],[1,2,0,2,1,0,0,0,0,0,2,0,0,0,0,0,0,1,1,1,0],[0,0,0,1,2,2,1,2,0,0,2,2,2,1,1,0,1,1,1,0,1],[0,0,0,2,2,0,0,2,1,1,2,2,0,3,1,0,1,1,1,1,1],[0,0,0,2,0,0,0,2,0,2,0,0,0,1,3,1,0,0,1,1,1],[2,2,0,0,2,2,0,0,2,2,1,1,1,3,3,0,1,1,1,1,0],[2,1,1,1,2,0,1,1,1,0,0,0,0,0,1,0,0,1,0,0,1],[0,2,2,0,1,0,0,1,2,1,0,0,1,3,3,0,0,1,1,0,1],[1,2,0,0,2,2,1,0,0,2,1,1,1,0,0,1,1,1,1,1,0],[1,2,2,2,0,0,2,0,2,0,0,0,2,3,3,1,1,0,0,0,1],[0,1,1,1,1,2,1,1,0,0,0,0,1,0,2,0,0,0,1,0,1],[2,0,0,0,0,1,1,0,0,0,1,0,0,0,0,2,1,1,0,0,0],[1,2,0,1,0,0,0,0,0,2,0,0,0,0,0,1,1,0,0,0,1],[0,2,0,0,1,0,0,1,2,0,0,0,0,0,0,1,0,0,1,1,1],[2,0,0,0,0,1,0,2,2,1,2,0,0,0,0,2,0,1,1,1,1],[0,0,0,2,2,2,0,1,0,1,0,0,0,0,2,0,0,1,1,1,0],[2,1,0,0,2,0,1,1,0,0,1,2,0,0,0,0,0,0,0,1,0],[2,0,1,0,1,1,0,2,1,0,2,1,1,1,0,2,0,1,0,0,1],[1,1,2,1,2,0,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1],[0,0,1,0,0,1,0,1,1,0,2,0,0,0,0,0,0,0,0,0,1],[0,1,0,2,2,1,2,0,0,0,0,0,0,0,1,0,0,0,1,0,0],[0,0,0,0,1,2,1,0,0,0,2,0,0,1,0,1,1,1,1,0,0],[2,1,2,1,2,2,2,2,0,0,1,1,1,1,0,0,1,1,0,0,1],[0,0,1,2,0,1,0,1,1,1,0,0,0,0,0,0,0,0,0,1,1],[0,0,0,0,0,2,1,0,0,2,0,0,1,0,0,0,1,0,0,1,0],[0,2,0,0,0,0,1,0,2,0,0,0,0,0,0,0,0,0,1,1,0],[0,0,2,1,0,2,2,2,2,0,2,2,1,3,0,0,0,1,1,0,1],[1,1,0,0,0,1,1,1,0,0,0,0,0,1,1,1,1,0,1,1,0],[0,1,0,0,1,2,1,0,0,0,0,1,0,0,0,1,1,0,0,0,1],[0,0,1,2,1,0,2,1,1,0,0,2,0,3,1,1,0,0,0,1,0],[0,2,0,2,0,0,0,0,0,1,0,2,1,0,0,2,0,1,0,1,0],[0,1,2,1,1,1,2,1,0,2,2,1,0,1,0,2,1,1,1,0,1],[1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0],[0,0,1,2,0,2,0,2,2,2,2,1,2,0,2,3,1,1,1,0,0],[0,0,1,2,2,0,0,1,1,2,0,0,0,1,1,0,0,1,1,1,1],[0,0,0,0,0,0,0,1,2,1,0,0,0,0,1,0,1,1,0,0,0],[0,1,1,1,2,0,1,0,2,0,0,0,0,0,1,0,0,1,1,0,0],[0,2,1,2,1,0,1,0,2,0,0,2,0,0,2,1,0,1,1,1,1],[1,2,0,0,1,1,1,0,0,0,0,0,0,0,2,1,1,0,1,1,0],[2,2,0,2,2,2,2,0,0,0,1,0,2,1,3,3,1,0,0,0,0],[2,0,2,0,0,1,0,2,2,2,1,0,1,1,0,2,1,0,0,1,0],[0,0,0,1,1,1,2,1,1,0,0,0,1,3,1,0,0,0,0,0,1],[0,0,0,2,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,1,0],[1,2,2,2,0,2,2,1,2,0,2,2,2,3,3,0,1,0,0,1,1],[2,0,0,1,0,0,0,2,1,0,2,0,0,0,1,2,1,1,0,0,0],[2,0,0,2,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,0],[0,2,0,0,1,1,0,0,0,0,0,1,0,0,2,0,0,0,1,1,0],[0,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0],[1,2,0,0,2,2,1,0,0,0,2,0,0,0,0,0,1,1,0,1,0],[0,1,0,0,1,1,1,0,0,0,0,1,0,3,0,0,0,0,1,0,0],[1,0,2,2,1,0,2,1,2,2,1,0,0,3,1,1,1,1,1,1,0],[2,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,2,0,1,1,0,0],[1,2,1,2,0,1,2,2,1,2,1,0,0,3,0,1,1,1,0,1,1],[1,0,0,0,0,0,0,1,1,0,0,2,0,0,0,0,1,0,0,1,0],[2,1,0,0,2,2,1,0,0,2,1,2,0,1,0,2,1,1,1,0,0],[0,2,0,0,1,0,2,0,0,0,0,0,0,0,0,0,0,0,1,0,0],[2,1,0,0,1,1,1,0,0,0,0,0,0,0,0,2,1,1,1,0,1],[2,0,2,1,0,0,1,0,0,0,2,1,2,2,3,1,1,1,1,0,1],[0,0,2,0,0,1,0,1,2,0,0,0,2,0,0,1,0,0,0,1,1],[0,2,0,0,2,2,1,0,0,0,1,0,2,1,0,2,1,0,1,1,0],[1,0,2,2,0,1,0,1,1,0,0,0,0,3,2,1,1,0,0,1,1],[1,2,1,2,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1],[1,2,2,0,1,1,1,0,2,2,0,0,0,0,3,1,0,1,1,0,1],[0,0,0,0,2,0,1,0,0,2,0,0,0,0,0,0,0,1,0,1,0],[0,0,0,1,0,0,0,1,0,2,0,1,1,1,3,0,0,1,1,0,1],[0,0,2,1,2,1,0,2,0,0,2,0,1,1,1,2,1,1,0,1,1],[2,0,2,1,0,1,0,0,0,0,2,0,1,1,1,2,1,0,0,0,1],[1,2,2,2,1,1,1,2,2,2,0,0,0,3,2,1,1,0,0,1,1],[1,2,2,1,2,2,0,2,1,1,2,2,2,3,3,3,1,1,1,1,1],[0,0,0,0,0,0,2,0,0,0,0,0,0,0,1,0,0,0,0,0,1],[0,2,0,2,2,2,2,0,0,1,0,2,2,2,0,1,1,1,1,0,0],[0,1,2,0,2,0,0,0,2,0,0,0,0,0,0,0,0,1,0,0,0],[2,2,0,0,0,2,2,0,2,0,2,0,2,3,2,1,1,1,1,1,0],[0,2,2,0,2,2,0,1,1,0,2,2,0,3,0,3,1,0,1,1,1],[1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1],[0,0,0,0,2,0,0,0,0,0,1,0,1,0,0,2,1,1,1,0,0],[0,0,0,1,1,1,1,2,0,2,0,0,0,0,1,1,1,0,1,0,1],[0,1,1,1,2,2,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1],[1,2,0,0,2,2,1,0,0,0,1,1,0,2,2,0,1,0,1,1,0],[0,2,0,0,0,0,2,1,0,1,0,0,0,0,0,0,1,0,0,0,0],[2,0,0,0,0,2,0,2,0,0,0,0,1,0,1,0,1,1,0,1,0]]}
