{"schema":"history/1","ticker":"IHG","first":"2003-04-10","last":"2025-12-31","gaps":[1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,2,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,5,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,2,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,4,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,5,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,2,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,4,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,3,2,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,4,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,2,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,4,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,2,1,3,1,2,1,3,1,1,2,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,4,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,4,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,2,3,1,1],"tr":[0.08605056,0.08605056,0.08605056,0.08768231,0.0815998,0.08308315,0.08085777,0.07803877,0.08337996,0.0815998,0.08456721,0.08961088,0.08605056,0.09495207,0.09421075,0.09643613,0.09168856,0.1001449,0.1038543,0.09969964,0.1034091,0.1023702,0.1002933,0.1031123,0.108305,0.1120138,0.106821,0.1090464,0.106821,0.1060797,0.1050408,0.1074146,0.1091948,0.1097884,0.107563,0.107563,0.1050408,0.1074146,0.1048924,0.1093432,0.1130526,0.1120138,0.1157232,0.1112725,0.1126074,0.1109756,0.1130526,0.1157232,0.1146844,0.1105304,0.1109756,0.107563,0.1094916,0.105486,0.1080082,0.108305,0.10964,0.114536,0.1149812,0.1157232,0.1155748,0.1169097,0.1164652,0.1149812,0.1172066,0.1157232,0.1137946,0.1112725,0.1142392,0.1140907,0.1109756,0.1127558,0.118097,0.1175034,0.1157232,0.1164652,0.10964,0.1090464,0.110382,0.1057829,0.1115686,0.11602,0.1172066,0.1170582,0.120174,0.1216573,0.1216573,0.122993,0.1226962,0.120916,0.1232898,0.1231414,0.1226962,0.1223993,0.1207676,0.1186906,0.1197288,0.1172066,0.1167613,0.1167613,0.1137946,0.1157232,0.1169097,0.1157232,0.1142392,0.1133494,0.1175034,0.1179486,0.1164652,0.1172066,0.1194319,0.122993,0.1253668,0.123735,0.1231414,0.1252183,0.1250699,0.1218057,0.1264049,0.120916,0.1243279,0.1238827,0.1280373,0.1284826,0.1221025,0.1246247,0.1253668,0.1219541,0.1272953,0.1223993,0.1299659,0.1283342,0.1305595,0.1298175,0.1326365,0.1313009,0.1304111,0.1281858,0.1274437,0.1308564,0.1335269,0.1347135,0.1367905,0.1378293,0.1416864,0.1390158,0.1370873,0.1363452,0.1366421,0.1351587,0.1341199,0.1364936,0.1373841,0.1357523,0.1367905,0.1385713,0.1339715,0.1333785,0.1372357,0.1409444,0.1393126,0.1390158,0.1379777,0.1406483,0.1404999,0.1388674,0.1439118,0.1452475,0.1449506,0.1434666,0.1424285,0.1456927,0.1439118,0.1446538,0.1409444,0.1431705,0.1418348,0.141538,0.1424285,0.1440602,0.1449506,0.1439118,0.1449506,0.1419832,0.1445054,0.1452475,0.1479181,0.149253,0.1540006,0.1535554,0.1587481,0.1571164,0.1602322,0.1578584,0.1553362,0.1544458,0.1535554,0.15133,0.152072,0.1498466,0.1494014,0.1449506,0.146434,0.1495498,0.1442086,0.1480665,0.1480665,0.1498466,0.152814,0.1502918,0.1523688,0.1538522,0.1538522,0.1547426,0.1542974,0.1525172,0.1540006,0.1535554,0.1507363,0.1535554,0.1523688,0.148511,0.1461372,0.1507363,0.1496982,0.1467308,0.146434,0.1479181,0.15133,0.1489562,0.1413896,0.1410928,0.1446538,0.1388674,0.138719,0.1393126,0.1402031,0.1390158,0.1373841,0.1366421,0.1321913,0.1333785,0.1320429,0.1344167,0.1364936,0.1370873,0.1391642,0.1391642,0.138719,0.1382745,0.138719,0.1367905,0.1378293,0.1379777,0.1336746,0.1326365,0.1360491,0.1399063,0.1396095,0.1388674,0.1422801,0.1449506,0.1430221,0.1409444,0.1431705,0.1425769,0.1413896,0.1412412,0.1453959,0.1440602,0.1425769,0.1393126,0.1318945,0.1304111,0.1310048,0.1315977,0.1310048,0.1290755,0.1305595,0.1327849,0.1321913,0.1354555,0.1350103,0.1384222,0.1399063,0.1412412,0.1448022,0.1456927,0.1450991,0.1440602,0.1448022,0.1491046,0.1480665,0.1495498,0.148511,0.1442086,0.1476212,0.1491046,0.1502918,0.1522204,0.1517752,0.149253,0.1510332,0.1491046,0.1502918,0.1537038,0.1550394,0.1599354,0.1596386,0.1575616,0.1566712,0.1600838,0.1594902,0.1574132,0.1581552,0.156968,0.1574132,0.1584513,0.1617155,0.1618639,0.1620124,0.1609735,0.1631989,0.1600838,0.15771,0.1574132,0.1585997,0.1614187,0.1611219,0.1624576,0.1642377,0.1599354,0.1594902,0.1550394,0.1537038,0.1525172,0.1508848,0.1465824,0.1495498,0.152072,0.152814,0.1522204,0.1542974,0.1529624,0.1526656,0.1531108,0.1550394,0.1542974,0.1550394,0.1542974,0.152814,0.152072,0.1526656,0.1517752,0.1550394,0.1553362,0.1578584,0.1621608,0.1642377,0.167502,0.1686885,0.1753646,0.1740297,0.1728424,0.1728424,0.1697273,0.1704687,0.1691337,0.1685401,0.1707655,0.1716559,0.1715075,0.1759582,0.1780352,0.1781836,0.1764035,0.1753646,0.1762551,0.1772939,0.1750685,0.1786288,0.1753646,0.178332,0.1772939,0.1815963,0.1805574,0.1821899,0.186789,0.1835248,0.1824867,0.1817447,0.1848605,0.1836732,0.183228,0.1848605,0.1861954,0.1854534,0.1884208,0.1866406,0.185305,0.1842668,0.1845637,0.1904978,0.1887176,0.189608,0.1925747,0.1891628,0.1873827,0.1890144,0.186047,0.1854534,0.1919818,0.1906462,0.1921302,0.1939104,0.1918334,0.1922786,0.1942072,0.1924263,0.191685,0.1924263,0.1903494,0.1936136,0.1936136,0.1928715,0.1910914,0.1910914,0.1928715,0.1910914,0.1870858,0.1899041,0.1890144,0.1882724,0.1884208,0.1899041,0.1872343,0.1863438,0.1818931,0.1817447,0.1823383,0.1864922,0.186047,0.1854534,0.1873827,0.1879756,0.1864922,0.1882724,0.1894596,0.1906462,0.1897564,0.1910914,0.190201,0.1925747,0.1899041,0.189608,0.1872343,0.1900533,0.1878272,0.1894596,0.1924263,0.1893112,0.1922786,0.1891628,0.1913882,0.190943,0.1934652,0.193762,0.1927231,0.1925747,0.1924263,0.1893112,0.1885692,0.1899041,0.1900533,0.1900533,0.1912398,0.188124,0.1876788,0.190201,0.1887176,0.1890144,0.1891628,0.193762,0.1890144,0.1848605,0.1844153,0.186047,0.1844153,0.1817447,0.1801122,0.1768487,0.1734361,0.1752169,0.1749201,0.1734361,0.1728424,0.1750685,0.1737329,0.1750685,0.1753646,0.1746233,0.1741781,0.1758098,0.1780352,0.1775907,0.1768487,0.1752169,0.1738813,0.1741781,0.1772939,0.180409,0.1808542,0.1808542,0.1826344,0.1780352,0.1775907,0.1753646,0.1765519,0.1767003,0.1768487,0.1768487,0.1795193,0.1772939,0.1769971,0.1750685,0.1735845,0.1732877,0.1706171,0.1713591,0.1704687,0.1761067,0.1777384,0.1771455,0.1801122,0.1772939,0.1768487,0.1780352,0.1753646,0.1735845,0.1737329,0.1756614,0.1772939,0.1792225,0.1829312,0.1799645,0.1795193,0.1795193,0.1796677,0.181151,0.1842668,0.1858986,0.1894596,0.1878272,0.1903494,0.1899041,0.1879756,0.1869374,0.1893112,0.1927231,0.1906462,0.1876788,0.1879756,0.1887176,0.1884208,0.1845637,0.1873827,0.1897564,0.1928715,0.1952453,0.1919818,0.191685,0.1894596,0.1890144,0.1900533,0.189608,0.1894596,0.1873827,0.1869374,0.1884208,0.1906462,0.1903494,0.1934652,0.1940588,0.1931684,0.1933168,0.1964326,0.1967294,0.1988064,0.2004381,0.2031087,0.2044444,0.2048889,0.2029603,0.2022183,0.1991032,0.1995484,0.1994,0.1982127,0.1964326,0.1976191,0.1964326,0.1980643,0.1971739,0.2002897,0.2041476,0.1999929,0.2004381,0.2002897,0.2007349,0.2022183,0.198658,0.1974707,0.195839,0.196581,0.196581,0.1956905,0.1933168,0.1899041,0.1885692,0.1882724,0.1866406,0.1858986,0.1863438,0.1906462,0.1887176,0.1884208,0.1876788,0.1875311,0.185305,0.1854534,0.1845637,0.1821899,0.181151,0.1786288,0.1897564,0.1866406,0.1826344,0.1854534,0.1826344,0.1833764,0.1863438,0.1820415,0.183228,0.181151,0.183228,0.185305,0.1879756,0.1927231,0.1931684,0.1894596,0.1913882,0.1931684,0.1948008,0.1994,0.2001413,0.2001413,0.2029603,0.2010317,0.2041476,0.2008833,0.2013286,0.201477,0.2007349,0.2041476,0.2019222,0.1998452,0.1999929,0.204296,0.2050373,0.2060761,0.2057793,0.2059277,0.2047405,0.2074111,0.2103785,0.2142363,0.2149776,0.2121586,0.2111205,0.2115657,0.2140879,0.2131975,0.2130491,0.2137911,0.2136427,0.2131975,0.2155713,0.2143847,0.2209124,0.2212093,0.2173514,0.2146808,0.2121586,0.2121586,0.2139395,0.2121586,0.2160165,0.2194291,0.2185387,0.2216545,0.21928,0.2203188,0.2246212,0.226402,0.22566,0.2258084,0.2253632,0.2283306,0.2275886,0.2252148,0.2262536,0.2255116,0.2213577,0.2244728,0.2240283,0.2246212,0.2209124,0.2194291,0.2246212,0.2268466,0.2310012,0.229814,0.227737,0.2238799,0.2259568,0.2261052,0.2280338,0.2262536,0.2215061,0.2237314,0.2223958,0.2167585,0.215126,0.2136427,0.2142363,0.2197252,0.2232862,0.2238799,0.2310012,0.2348583,0.2344131,0.2339686,0.235452,0.2376773,0.2378257,0.2347099,0.2317425,0.2399027,0.2399027,0.2436122,0.2436122,0.2470241,0.2458375,0.2445019,0.2425733,0.2447987,0.2416829,0.2391607,0.2399027,0.24109,0.2446503,0.2495463,0.2483597,0.2504367,0.2508819,0.2528105,0.25192,0.2584478,0.2608223,0.26097,0.2646794,0.2583001,0.2749166,0.2731364,0.2731364,0.2737293,0.2732841,0.2753618,0.2715039,0.2667564,0.2679436,0.2605255,0.2541454,0.2553327,0.2528105,0.2583001,0.2526621,0.253997,0.2565192,0.2528105,0.253997,0.2556295,0.2594866,0.262454,0.2574096,0.2234346,0.2268466,0.2253632,0.2221174,0.2147185,0.2177036,0.2241951,0.2208194,0.2193915,0.2204303,0.2208194,0.2199105,0.2201704,0.2186125,0.2157566,0.2187425,0.2258823,0.228479,0.229907,0.226402,0.2282191,0.22783,0.228479,0.2315941,0.2265313,0.2245843,0.2205602,0.2165355,0.2174444,0.2223773,0.2221174,0.2180934,0.2214684,0.2221174,0.2212093,0.2161464,0.2109536,0.2108237,0.2104339,0.2113428,0.2079678,0.2119918,0.2135497,0.2144586,0.2153675,0.2083569,0.2093957,0.2075779,0.2145885,0.2158865,0.2161464,0.2225073,0.2226372,0.2212093,0.2226372,0.2249741,0.2253632,0.2277001,0.2280892,0.228479,0.229128,0.229907,0.229258,0.2270511,0.2253632,0.2260122,0.2252333,0.2310751,0.2310751,0.2309451,0.232503,0.229907,0.2295171,0.231854,0.230426,0.22783,0.2293872,0.229777,0.227181,0.229258,0.2289981,0.2296471,0.2314649,0.2328928,0.2361379,0.2349698,0.2347099,0.2347099,0.2330228,0.2350998,0.2357488,0.2379557,0.2362678,0.2399027,0.2393837,0.2460044,0.2453554,0.2488603,0.2521054,0.2531442,0.2531442,0.2510672,0.2526252,0.2504182,0.2509373,0.2523653,0.2587261,0.2627508,0.2653469,0.26301,0.2652169,0.2640489,0.2648278,0.2632699,0.260414,0.2587261,0.2614528,0.26314,0.2621018,0.260284,0.2584669,0.2621018,0.2639189,0.264438,0.2711887,0.2775502,0.2758624,0.2801463,0.2797572,0.2831321,0.286248,0.2918299,0.2942967,0.2887141,0.2931279,0.2950749,0.2966328,0.2963736,0.3319435,0.3410303,0.3301257,0.3272698,0.3277895,0.3150671,0.3083164,0.3033835,0.3037733,0.3045516,0.3001385,0.3031243,0.3133793,0.3102641,0.3133793,0.3225967,0.3341504,0.3347994,0.3345395,0.3281787,0.3270106,0.3258418,0.3273997,0.3276596,0.3263616,0.3268806,0.3311645,0.3294767,0.3303856,0.3357083,0.3311645,0.3232458,0.3249336,0.3292175,0.3351885,0.3302556,0.3302556,0.3245438,0.3171441,0.3123411,0.3115622,0.3177931,0.2981907,0.3046815,0.3035135,0.3019555,0.2959838,0.3033835,0.3074082,0.3115622,0.3119513,0.3101342,0.2998786,0.2996187,0.3048115,0.3048115,0.3084464,0.3219477,0.3276596,0.3261017,0.3232458,0.3227267,0.3198708,0.317923,0.3202599,0.3210388,0.3251928,0.3250628,0.3280487,0.3293474,0.3281787,0.3292175,0.3241547,0.3266207,0.3359675,0.3336313,0.3327224,0.3325925,0.3254527,0.318572,0.3211688,0.317404,0.3201299,0.3177931,0.3183129,0.3137691,0.317404,0.318053,0.3227267,0.3266207,0.3263616,0.3229859,0.3229859,0.318572,0.321428,0.3237648,0.3259717,0.3531037,0.3434971,0.3505077,0.347781,0.3467429,0.3467429,0.3446652,0.3459639,0.3467429,0.347911,0.347781,0.3550508,0.3070326,0.2994057,0.2860044,0.2797941,0.2828446,0.2873117,0.2825179,0.286549,0.2866577,0.2921054,0.287203,0.2842612,0.2826266,0.2842612,0.2796847,0.2769609,0.2794667,0.2756536,0.2760896,0.2699879,0.2743464,0.2776149,0.2888369,0.2849144,0.2843698,0.2778328,0.286113,0.2897089,0.286331,0.2879656,0.2856778,0.2840432,0.2831712,0.2787041,0.2783775,0.2736924,0.2691167,0.2475438,0.2418782,0.2452553,0.2491777,0.2508123,0.2480885,0.2452553,0.2456913,0.244602,0.255606,0.2469985,0.2385003,0.2413328,0.2394809,0.2248811,0.2186707,0.2242271,0.2239004,0.2185614,0.2306554,0.2346872,0.2365391,0.2343599,0.2240091,0.2310914,0.2274963,0.2294568,0.2290215,0.2221572,0.2200873,0.2155109,0.213659,0.2164915,0.2179081,0.2179081,0.2124604,0.2029816,0.2084293,0.2149663,0.2170361,0.2152929,0.2126784,0.2061407,0.201783,0.2104992,0.2163829,0.2221572,0.2279315,0.2256437,0.2248811,0.2349045,0.2377377,0.2401349,0.2400256,0.2370837,0.2351225,0.2305468,0.2297841,0.2332706,0.2347959,0.2296748,0.2273869,0.2323986,0.2329433,0.2447106,0.2499404,0.2492871,0.2464539,0.2542988,0.2491777,0.2436214,0.238827,0.2352318,0.2242271,0.2281495,0.2192154,0.213441,0.2179081,0.2125691,0.2114798,0.2119158,0.208102,0.2102812,0.2029816,0.2104992,0.2035262,0.2066861,0.2135497,0.2116978,0.2089739,0.2113712,0.2041795,0.2059227,0.2111532,0.2115884,0.2142036,0.2101725,0.2125691,0.207666,0.2024363,0.1944827,0.1973159,0.1905602,0.189253,0.1912142,0.1928488,0.1941561,0.1923035,0.1902336,0.1895803,0.1839146,0.1839146,0.1741085,0.1639757,0.1631045,0.1555862,0.1535163,0.1582014,0.1573294,0.1498118,0.1478506,0.1455627,0.1444728,0.1490492,0.1572208,0.1627771,0.1624505,0.1680068,0.1722559,0.1676802,0.1685522,0.1689874,0.1673535,0.1579834,0.1598353,0.158092,0.1555862,0.1551502,0.1597266,0.1658283,0.1637577,0.1634311,0.1746531,0.1761784,0.1731279,0.1756337,0.1808635,0.1832607,0.1819534,0.1747625,0.165501,0.1650657,0.1669176,0.1720386,0.1686608,0.1718206,0.1668082,0.1722559,0.1726919,0.1713846,0.1673535,0.1621238,0.1683342,0.1616879,0.1649563,0.1680068,0.1739999,0.1711667,0.1678982,0.1651743,0.1645203,0.1746531,0.1791202,0.1766144,0.1802102,0.1815174,0.1786849,0.1723653,0.1698594,0.1680068,0.1678982,0.1687694,0.1742171,0.1761784,0.1821714,0.177377,0.1736725,0.1729099,0.1725833,0.1803188,0.1793382,0.1736725,0.1746531,0.1756337,0.1801008,0.1790116,0.1793382,0.1803188,0.1805368,0.1814088,0.1815174,0.1821714,0.1801008,0.1820621,0.1830427,0.1823887,0.1784669,0.1735639,0.1765057,0.1725833,0.1758517,0.1783576,0.1754157,0.1790116,0.1716026,0.1694234,0.1714933,0.1731279,0.1653923,0.1619058,0.158528,0.153189,0.1554775,0.1560222,0.1568934,0.1547149,0.1518817,0.1528623,0.1500298,0.1481772,0.1477412,0.1540609,0.1432749,0.1441461,0.1452354,0.1418583,0.1391344,0.1421849,0.139897,0.1419669,0.1453447,0.1379358,0.1342313,0.1359746,0.1346673,0.1417489,0.1516637,0.1577654,0.1530803,0.1524263,0.1608159,0.1498118,0.1498118,0.1451267,0.1467613,0.1458894,0.1428389,0.1424029,0.1437101,0.1558042,0.1560222,0.1514464,0.1538429,0.1561308,0.15831,0.1519911,0.1502478,0.1474146,0.1450174,0.1439281,0.1419669,0.1448001,0.1476326,0.1451267,0.1432749,0.1437101,0.146434,0.147306,0.1488312,0.1493758,0.1428389,0.1442548,0.1486132,0.1476326,0.14687,0.146216,0.1485046,0.1450174,0.1428389,0.1361926,0.1421849,0.1552595,0.1456714,0.1400057,0.1383718,0.1381538,0.1383718,0.1256238,0.134776,0.1316161,0.1223553,0.1222467,0.1160364,0.1138571,0.1106973,0.1078648,0.1087361,0.1209387,0.1121139,0.1032884,0.1087361,0.1024171,0.1052496,0.09740467,0.09337357,0.09435419,0.08748988,0.07910033,0.08879784,0.08912448,0.09653341,0.09380956,0.09304694,0.1013271,0.09838529,0.0913037,0.09468082,0.09108571,0.08465739,0.07833771,0.08302279,0.07844706,0.07692182,0.07822907,0.07594121,0.07103813,0.0747426,0.07986367,0.08356742,0.08552865,0.08901512,0.07811972,0.08531066,0.08411276,0.08324079,0.08400341,0.08738124,0.08912448,0.09152169,0.09217496,0.09184833,0.09293758,0.09827665,0.09664205,0.09163033,0.09054108,0.0896691,0.09173898,0.08956046,0.09032308,0.08901512,0.08934247,0.09119435,0.09555279,0.09871263,0.1016538,0.09816729,0.09925726,0.1006732,0.09664205,0.09184833,0.08781723,0.08672726,0.08912448,0.07670383,0.08127956,0.07986367,0.07779308,0.07855571,0.08095292,0.08596464,0.08247817,0.08127956,0.07953632,0.08258752,0.08073493,0.08302279,0.08999574,0.09010509,0.08389477,0.0828048,0.07811972,0.07572321,0.0747426,0.0745246,0.07387062,0.07147412,0.06962153,0.0747426,0.07321735,0.0745246,0.07463325,0.07016616,0.07016616,0.07267202,0.06918554,0.06831428,0.06580842,0.07071079,0.07114677,0.07223674,0.07506923,0.07517858,0.07833771,0.08062629,0.08650927,0.08476603,0.0898871,0.08759923,0.08378542,0.08247817,0.0801903,0.08062629,0.08226017,0.08934247,0.09729603,0.1004559,0.0967514,0.09010509,0.09206632,0.0953348,0.09653341,0.09544344,0.1001285,0.1056856,0.1066662,0.09587943,0.1001285,0.09609742,0.103615,0.1078648,0.1018718,0.1010005,0.1065568,0.1031797,0.1026344,0.1069928,0.1098253,0.1148377,0.1122225,0.1114599,0.1075375,0.1126585,0.104051,0.1074288,0.1050316,0.1094987,0.1111333,0.1118959,0.1102613,0.1086274,0.1113513,0.1162536,0.116145,0.1158184,0.1219193,0.1219193,0.1187602,0.1172343,0.1171256,0.1177796,0.1176702,0.1178882,0.1196315,0.1190868,0.1133125,0.1126585,0.1102613,0.1066662,0.1118959,0.1053582,0.1076468,0.1108059,0.1128765,0.1117866,0.1149464,0.1123319,0.1142924,0.1111333,0.1090627,0.1059036,0.104269,0.1073195,0.1066662,0.1090627,0.1101527,0.1136391,0.1126585,0.1112419,0.1160364,0.1144018,0.1145104,0.1156004,0.1171256,0.1156004,0.1145104,0.1153824,0.1191955,0.1233359,0.127585,0.127367,0.1351033,0.1357566,0.1364106,0.135212,0.1311809,0.1304182,0.1313981,0.1309629,0.1245345,0.1312895,0.1319435,0.1336867,0.1395697,0.1380445,0.1385898,0.1361926,0.1358659,0.13543,0.1344493,0.1298729,0.1287836,0.1322701,0.1324881,0.1458894,0.1439281,0.1442548,0.1445821,0.1431655,0.1428389,0.1497025,0.147524,0.146434,0.1436015,0.1467613,0.1456714,0.1412043,0.1392431,0.1406597,0.1427295,0.1407683,0.1378272,0.1335774,0.1364106,0.1390251,0.1431655,0.1410956,0.1428389,0.1414223,0.1425115,0.1467613,0.1519911,0.1487226,0.1514464,0.1482866,0.1502478,0.1486132,0.1439281,0.1421849,0.1390251,0.1344493,0.1437101,0.1384804,0.1409863,0.1428389,0.1459987,0.1478506,0.1491578,0.1536249,0.1504651,0.1512284,0.1509011,0.1558042,0.1565668,0.1574388,0.1546056,0.1514464,0.1487226,0.1526443,0.1527537,0.1543876,0.1509011,0.1518817,0.1544969,0.1543876,0.1552595,0.1556955,0.1549329,0.1535163,0.1565668,0.1570028,0.159618,0.1598353,0.1574388,0.1571114,0.1549329,0.1527537,0.1559128,0.1544969,0.1563488,0.1566761,0.1571114,0.1552595,0.1567848,0.1565668,0.1582014,0.1571114,0.1564581,0.158092,0.1611432,0.1632131,0.1598353,0.1632131,0.1640844,0.1628865,0.1678982,0.1661549,0.1645203,0.1570028,0.1627771,0.1635397,0.1628865,0.1586367,0.1554775,0.1563488,0.158964,0.1562401,0.1520997,0.1525357,0.1507924,0.1554775,0.1554775,0.1564581,0.1568934,0.1543876,0.1544969,0.1558042,0.1554775,0.1543876,0.1532983,0.1529717,0.1544969,0.1539523,0.1555862,0.159182,0.1562401,0.1565668,0.1598353,0.1582014,0.1571114,0.1598353,0.1626685,0.1649563,0.1636491,0.1656103,0.1665909,0.1672442,0.1665909,0.1687694,0.1702954,0.1648477,0.1677895,0.1700774,0.1689874,0.1711667,0.170404,0.1736725,0.1760697,0.1774863,0.1751978,0.1747625,0.1786849,0.176941,0.178031,0.1784669,0.1801008,0.1759611,0.1737819,0.1753071,0.1779216,0.1844593,0.1895803,0.1902336,0.1812994,0.1781396,0.1926308,0.1916502,0.1951367,0.1850039,0.1798828,0.1713846,0.1650657,0.1787936,0.1794476,0.1865291,0.1822801,0.1803188,0.1787936,0.1751978,0.1763964,0.1678982,0.1718206,0.1688788,0.1619058,0.1637577,0.1741085,0.1719293,0.1728012,0.1781396,0.1816261,0.171058,0.1690968,0.169968,0.1730192,0.1832607,0.1854399,0.1900156,0.1998218,0.1961173,0.1956813,0.1954633,0.1913229,0.1893624,0.1913229,0.1850039,0.1868565,0.188599,0.1801008,0.17084,0.1741085,0.1739999,0.1767237,0.1845679,0.1857665,0.1853305,0.1846773,0.1919769,0.1920862,0.1891444,0.1831513,0.1841326,0.1867471,0.1867471,0.1947007,0.2014557,0.1981872,0.1911056,0.1881637,0.189689,0.1895803,0.1945921,0.1958993,0.1985145,0.1957907,0.1989498,0.1968799,0.1879458,0.1846773,0.1812994,0.1838053,0.1834787,0.1831513,0.1821714,0.1779216,0.1736725,0.1759611,0.1725833,0.1718206,0.1711667,0.1731279,0.1690968,0.1660456,0.1760697,0.178031,0.1812994,0.178249,0.1836967,0.1863112,0.1868565,0.1881637,0.1893624,0.1914322,0.189907,0.1917589,0.1937201,0.195028,0.1915409,0.189689,0.1966619,0.1962259,0.1974246,0.1979692,0.1954633,0.1957907,0.1949187,0.2002578,0.2042889,0.2005844,0.2025456,0.2023276,0.200911,0.2018916,0.2028723,0.2048335,0.2074487,0.2003664,0.2028723,0.2096272,0.2093006,0.2102812,0.2099546,0.2091919,0.2101725,0.2108258,0.2106078,0.2122424,0.213223,0.2183441,0.2162735,0.213441,0.200911,0.1942647,0.1947007,0.1930668,0.1933935,0.1874011,0.1913229,0.1993858,0.1997124,0.1996038,0.1929575,0.1997124,0.1987318,0.1961173,0.1949187,0.1992771,0.2064681,0.2097366,0.2111532,0.2114798,0.2099546,0.2103898,0.2112618,0.2137677,0.213441,0.2093006,0.2114798,0.2114798,0.213659,0.2137677,0.2137677,0.2135497,0.2116978,0.2113712,0.214095,0.213223,0.2149663,0.2158375,0.2154023,0.2213946,0.2223752,0.2256437,0.2254257,0.2268423,0.2290215,0.2289122,0.2329433,0.2342512,0.2309827,0.2258617,0.2284769,0.2293482,0.2291302,0.2381737,0.2353405,0.2277136,0.2321806,0.2333793,0.2326166,0.2376283,0.2365391,0.2412242,0.2444927,0.2464539,0.2461272,0.2434034,0.2455826,0.2419868,0.2488511,0.2516836,0.2536448,0.2449286,0.2390449,0.2363211,0.2403522,0.2436214,0.2339246,0.2366484,0.2400256,0.2370837,0.2340332,0.238391,0.2395896,0.2353405,0.2331613,0.2294568,0.2234645,0.2135497,0.220632,0.2258617,0.2278229,0.2268423,0.2245544,0.2276049,0.225535,0.2159469,0.2231378,0.2288035,0.2258617,0.2239004,0.2252077,0.2262977,0.2276049,0.2304381,0.2300021,0.225535,0.2250991,0.2306554,0.2313094,0.2298928,0.2258617,0.2276049,0.2341419,0.2369751,0.2357765,0.2369751,0.2407882,0.2399169,0.2402436,0.2389363,0.2339246,0.2301108,0.2282589,0.2270603,0.2256437,0.2349045,0.2337066,0.2333793,0.2290215,0.2247724,0.2250991,0.2271689,0.2291302,0.2280409,0.2213946,0.2221572,0.2241184,0.2276049,0.2298928,0.2345779,0.2254257,0.2225932,0.2205226,0.2169275,0.2182348,0.2131137,0.2156203,0.2103898,0.2103898,0.2146396,0.2086473,0.2043975,0.2051601,0.2067947,0.213223,0.2125691,0.213005,0.2119158,0.2150749,0.2215032,0.2239004,0.2252077,0.2271689,0.2306554,0.2285855,0.2339246,0.2312007,0.2220486,0.220632,0.2239004,0.2174721,0.2194334,0.2124604,0.2167095,0.219542,0.2227018,0.225535,0.2260797,0.2248811,0.2187794,0.2163829,0.2154023,0.2150749,0.2016736,0.2033082,0.1869651,0.1859845,0.1747625,0.1895803,0.1789022,0.1866385,0.1874011,0.1924128,0.1893624,0.1902336,0.1804275,0.17084,0.1713846,0.1772683,0.1766144,0.1731279,0.177159,0.1830427,0.1834787,0.1860932,0.182498,0.1789022,0.177595,0.1834787,0.1787936,0.1735639,0.1746531,0.1734545,0.182934,0.1866385,0.1860932,0.1842413,0.1844593,0.1777043,0.1707307,0.1749798,0.1799922,0.1845679,0.1787936,0.1826067,0.1751978,0.1663729,0.1682248,0.17084,0.1755251,0.1798828,0.1859845,0.1833693,0.1909962,0.1877278,0.1893624,0.1843499,0.1889264,0.1834787,0.1847859,0.1928488,0.1964439,0.1939381,0.1974246,0.2093006,0.20832,0.201347,0.1878364,0.1926308,0.1984052,0.1917589,0.1930668,0.1905602,0.1814088,0.1864205,0.1907782,0.1862025,0.1876191,0.1858752,0.1842413,0.1858752,0.1831513,0.1781396,0.1700774,0.1690968,0.1765057,0.1792296,0.189253,0.1877278,0.189689,0.189907,0.189689,0.1911056,0.1854399,0.1914322,0.1897976,0.1838053,0.1806455,0.1809728,0.1807548,0.1814088,0.1883817,0.1878364,0.1891444,0.1937201,0.1942647,0.1942647,0.1955727,0.196008,0.201129,0.2010204,0.1988412,0.1991678,0.2030903,0.2098452,0.208102,0.2095186,0.2074487,0.2090826,0.2169275,0.2213946,0.2242271,0.2270603,0.2234645,0.2284769,0.2297841,0.2273869,0.2232465,0.2227018,0.2305468,0.2297841,0.2369751,0.2359945,0.2355585,0.2366484,0.2381737,0.2389363,0.2399169,0.2337066,0.2342512,0.238609,0.2429674,0.2426408,0.2407882,0.2406795,0.2415508,0.2465625,0.2499404,0.2486331,0.2517929,0.2499404,0.2486331,0.2366484,0.2440567,0.2515749,0.2499404,0.2474345,0.2578939,0.2542988,0.2526642,0.2539715,0.2535362,0.2510303,0.2477611,0.2477611,0.2491777,0.2512476,0.2496137,0.2493957,0.2481971,0.2529916,0.2575673,0.2520102,0.2467805,0.2479791,0.2456913,0.2408975,0.2472165,0.2550614,0.2485238,0.2490691,0.2548434,0.2557147,0.2565867,0.2569133,0.2519016,0.2527736,0.2563687,0.2599645,0.2647582,0.2601818,0.262797,0.2691167,0.2681361,0.2619257,0.2631236,0.2601818,0.2590925,0.2613804,0.2610538,0.256478,0.2563687,0.2539715,0.2444927,0.2379557,0.2465625,0.2460179,0.2401349,0.2420961,0.2405702,0.2483065,0.2424228,0.255824,0.2449286,0.2447106,0.2483065,0.2497224,0.2536448,0.2544074,0.2510303,0.2552794,0.2516836,0.2533182,0.2547341,0.2546254,0.2626883,0.2674821,0.2619257,0.2585479,0.2557147,0.2588745,0.2594192,0.2551701,0.262579,0.2678087,0.2651942,0.2614897,0.2626883,0.2611631,0.2618164,0.2605091,0.2523376,0.2537542,0.2550614,0.2595285,0.2642136,0.2687893,0.263015,0.2588745,0.2554974,0.256478,0.2655208,0.2723851,0.2719492,0.2691167,0.2675907,0.2684627,0.2758716,0.2752176,0.294394,0.2850238,0.2820819,0.2849144,0.2848058,0.2832806,0.2837165,0.2838252,0.2836072,0.2834985,0.2829539,0.2770702,0.2784861,0.2764162,0.2754356,0.275545,0.2765249,0.274891,0.2764162,0.2778328,0.2791401,0.2807747,0.281428,0.2793581,0.2826266,0.2807747,0.2899269,0.2906895,0.2898175,0.2901441,0.2903621,0.2879656,0.2890549,0.2911255,0.2875296,0.2860044,0.2882923,0.2860044,0.2885103,0.2853504,0.2862224,0.2934133,0.2906895,0.2898175,0.266429,0.2662252,0.2660222,0.2649038,0.2641916,0.2622595,0.2609373,0.2600227,0.2571753,0.2588021,0.2531073,0.2516836,0.2530058,0.2514805,0.2503614,0.2530058,0.2503614,0.2491415,0.2530058,0.2528027,0.2506668,0.251582,0.2553447,0.2547341,0.2520905,0.2532088,0.2552432,0.25626,0.2652084,0.2667337,0.2761912,0.2738522,0.2724285,0.2723269,0.27253,0.2726323,0.27253,0.2723269,0.2710048,0.2702933,0.2692764,0.2704963,0.2698864,0.2688696,0.2682596,0.2703948,0.27192,0.274259,0.274869,0.2822928,0.2800554,0.2786317,0.2769026,0.278937,0.277208,0.2829028,0.2902244,0.2895129,0.2910381,0.2884953,0.286767,0.2839196,0.2871739,0.2902244,0.2879869,0.2898175,0.2898175,0.2901228,0.2933771,0.2949024,0.2938855,0.2958177,0.302427,0.2983597,0.2980544,0.2981566,0.2985628,0.302427,0.3030377,0.3035461,0.3050714,0.3046645,0.3084272,0.3025293,0.3065966,0.3062913,0.3063935,0.3115792,0.3057829,0.2994781,0.2964276,0.3005965,0.2907328,0.2942917,0.2974444,0.2956139,0.2981566,0.2995796,0.2996819,0.2991735,0.2989697,0.2995796,0.3001903,0.3027324,0.3028339,0.3087318,0.3059867,0.3066981,0.3065966,0.3017155,0.2987666,0.2983597,0.299885,0.3003934,0.3006987,0.3093425,0.3095456,0.3112746,0.3073081,0.3078165,0.3004949,0.3026308,0.2999865,0.2997834,0.3037492,0.3040545,0.2957154,0.2984613,0.2880892,0.2898175,0.2881907,0.2881907,0.2912412,0.2927665,0.2977498,0.2968345,0.2970376,0.3004949,0.3006987,0.3010033,0.3106639,0.310054,0.3089356,0.302224,0.3002918,0.3041561,0.3033423,0.3051729,0.302427,0.3006987,0.3001903,0.3036477,0.2996819,0.2949024,0.2941902,0.2946986,0.297546,0.2913428,0.2957154,0.292055,0.295207,0.2932749,0.2851395,0.2895129,0.2883938,0.2872754,0.2874785,0.2864617,0.2893091,0.2901228,0.2894106,0.2898175,0.2829028,0.2777164,0.2780217,0.2735468,0.2780217,0.2780217,0.2783264,0.2793439,0.289106,0.2890038,0.2864617,0.2913428,0.2946986,0.2942917,0.2941902,0.3035461,0.302427,0.301614,0.3009018,0.3031392,0.3075119,0.3067997,0.3070035,0.3012071,0.2995796,0.3019186,0.2971391,0.297546,0.2954108,0.2939871,0.2958177,0.2946986,0.2978513,0.3151388,0.3132067,0.3139182,0.3093425,0.3075119,0.3106639,0.3135113,0.3065966,0.3083249,0.309444,0.3160534,0.292868,0.2960207,0.2954108,0.2937833,0.2845296,0.2823944,0.2885976,0.2856487,0.2894106,0.292055,0.2964276,0.2983597,0.3006987,0.3063935,0.307715,0.3044607,0.3073081,0.3066981,0.3060882,0.3051729,0.3035461,0.3006987,0.300088,0.299275,0.296936,0.2982582,0.2965291,0.2970376,0.3012071,0.3004949,0.2950039,0.2961223,0.2936817,0.2874785,0.289716,0.2917496,0.2956139,0.2974444,0.2991735,0.3005965,0.3036477,0.3066981,0.3072066,0.3090371,0.307105,0.3090371,0.3090371,0.301614,0.2996819,0.2982582,0.2984613,0.2953092,0.2937833,0.2966307,0.2955123,0.292258,0.2956139,0.2973429,0.2985628,0.2996819,0.3035461,0.3074104,0.3074104,0.3050714,0.3040545,0.3072066,0.3098509,0.3105624,0.3150366,0.3174778,0.3167656,0.3175794,0.3176809,0.315545,0.3142235,0.3156472,0.3184946,0.3157488,0.3158503,0.3147319,0.3159519,0.3192061,0.314935,0.3230704,0.3258162,0.3277483,0.3325279,0.3345615,0.3373074,0.3395441,0.3410694,0.339951,0.336799,0.3347646,0.3329347,0.3343577,0.3330363,0.3318157,0.335273,0.3310019,0.3390357,0.3384258,0.3341547,0.3351715,0.3412732,0.3465611,0.3444252,0.3390357,0.3323241,0.3364936,0.3332394,0.3351715,0.3298835,0.3245956,0.3222566,0.3233757,0.3259178,0.3257147,0.3270361,0.3333409,0.337612,0.3351715,0.3435099,0.3395441,0.3323241,0.3364936,0.3262231,0.3283583,0.3275446,0.3271377,0.3302904,0.3323241,0.3230704,0.3314088,0.3298835,0.3288667,0.3291721,0.3247994,0.3260193,0.3257147,0.319613,0.3205283,0.321952,0.3246972,0.3184946,0.3140197,0.3239857,0.3237819,0.3294767,0.3282568,0.3275446,0.3276461,0.3294767,0.3319172,0.3312057,0.3277483,0.3224604,0.321342,0.3275446,0.3320195,0.3236803,0.3228673,0.3263246,0.3266293,0.3284598,0.3307988,0.3319172,0.3355784,0.3341547,0.3407648,0.34229,0.3403579,0.3426969,0.3500185,0.3489001,0.3752375,0.3772712,0.3773727,0.384695,0.3802201,0.3771696,0.3775765,0.3811354,0.3764581,0.3770681,0.3761528,0.3762543,0.374526,0.3807285,0.380627,0.3825591,0.3939487,0.3905929,0.3969992,0.4047277,0.3999482,0.3961855,0.3959824,0.3947625,0.3940503,0.3955755,0.3945587,0.3941518,0.3959824,0.3936434,0.3943556,0.3949656,0.3952709,0.3991351,0.4002535,0.4122531,0.4069651,0.4127615,0.4212014,0.4189647,0.4221167,0.3896137,0.3924299,0.3990002,0.3949641,0.3924299,0.3951516,0.3917723,0.393838,0.3943066,0.3954335,0.3952453,0.3910218,0.395621,0.394776,0.3952453,0.3942129,0.3923354,0.3892381,0.3904587,0.388675,0.3847334,0.3791018,0.3722495,0.3756288,0.3596727,0.3589214,0.3514131,0.3486906,0.3514131,0.3505681,0.3523511,0.3521636,0.3533835,0.3565753,0.3536654,0.3516942,0.3543222,0.3570447,0.3614557,0.3587339,0.3596727,0.3592033,0.3595782,0.3561059,0.3595782,0.3557303,0.3531023,0.3457814,0.3496293,0.3521636,0.354416,0.3576078,0.3607051,0.3623006,0.36277,0.3711233,0.3740332,0.3719683,0.3690584,0.366243,0.3621132,0.3605169,0.3618313,0.3628637,0.3535717,0.3438103,0.3470013,0.350005,0.3365831,0.341276,0.3292615,0.3299191,0.3227856,0.3227856,0.3216587,0.3194064,0.3271966,0.3437165,0.3435284,0.3393986,0.3395867,0.3374274,0.3454995,0.3471888,0.345687,0.3541348,0.3567628,0.3607051,0.3623006,0.3639899,0.3608926,0.3590151,0.3677441,0.3817297,0.3769424,0.3775062,0.378163,0.3796648,0.3791955,0.3795711,0.3818235,0.3848271,0.3896137,0.3897074,0.3923354,0.3977796,0.3858595,0.3826685,0.3836065,0.3861407,0.3876425,0.3826685,0.3716864,0.3699034,0.3707477,0.3589214,0.3531961,0.3597664,0.3673692,0.381636,0.3809785,0.3836065,0.381636,0.3843577,0.3848271,0.380791,0.3782568,0.37591,0.3727189,0.3665242,0.3596727,0.3682134,0.3730008,0.3691522,0.374127,0.3722495,0.3756288,0.367181,0.3709359,0.3733764,0.3747838,0.384264,0.3858595,0.3901768,0.3888632,0.3730945,0.3775999,0.3731882,0.3683079,0.3707477,0.3720621,0.3754413,0.3719683,0.3714052,0.3835127,0.3837946,0.3883001,0.3786324,0.3658674,0.3758162,0.3689647,0.3690584,0.3730945,0.3714052,0.3731882,0.3757225,0.3838884,0.390365,0.3872676,0.3840758,0.3836065,0.3756288,0.3791018,0.3709359,0.3675566,0.3726252,0.3678385,0.3747838,0.3734701,0.3800398,0.3760044,0.379946,0.3742207,0.3707477,0.36277,0.3604232,0.3718746,0.3717802,0.3675566,0.3697153,0.3651161,0.367181,0.3735639,0.3743144,0.378163,0.3809785,0.3809785,0.3861407,0.3835127,0.3810722,0.3838884,0.3906462,0.4026607,0.4019094,0.3995633,0.4024725,0.4025662,0.4033175,0.4078229,0.3999382,0.4034112,0.402285,0.3927111,0.3931804,0.3936498,0.4035987,0.4029418,0.4021913,0.4008769,0.4080104,0.4084797,0.4087616,0.4060392,0.4061336,0.4062274,0.4017219,0.3939317,0.3992814,0.4023788,0.3927111,0.3946822,0.392148,0.3941192,0.3907399,0.3883001,0.3863289,0.3857658,0.397029,0.3974984,0.3944948,0.3904587,0.3935561,0.3939317,0.3995633,0.4028481,0.4041625,0.4050067,0.4010651,0.3992814,0.3993751,0.383419,0.3797586,0.386892,0.3820109,0.3806036,0.3769424,0.3699034,0.3737513,0.3919605,0.3914912,0.3944948,0.3969353,0.3999382,0.4005958,0.4003139,0.3937435,0.3945885,0.3857658,0.3812604,0.3740332,0.3806973,0.3852965,0.3827622,0.3926173,0.3881119,0.3911155,0.3864226,0.3800398,0.3803217,0.3802279,0.3731882,0.368871,0.3692459,0.3686828,0.3693403,0.3682134,0.3636143,0.3523511,0.3464383,0.3367706,0.341276,0.3433409,0.3515068,0.3554484,0.3511312,0.3402436,0.3445608,0.3475644,0.3400554,0.3490663,0.3440915,0.3521636,0.3522573,0.3457814,0.343904,0.3492537,0.3485032,0.3396805,0.3378968,0.325883,0.3268217,0.3271029,0.3283235,0.3170603,0.3146198,0.325038,0.327666,0.3370518,0.3396805,0.3440915,0.3466257,0.3518824,0.3488788,0.3435284,0.3395867,0.3355507,0.3396805,0.3335795,0.3362075,0.3573259,0.3527267,0.3561997,0.3593908,0.3607051,0.3635206,0.3667116,0.3684016,0.3743144,0.3769424,0.3792892,0.3763793,0.374127,0.375535,0.3737513,0.3703728,0.371499,0.3623006,0.3561059,0.3531961,0.3523511,0.3537591,0.3579827,0.3554484,0.3505681,0.3472825,0.3496293,0.352633,0.3591096,0.368026,0.3651161,0.3608926,0.3672754,0.3642718,0.3538529,0.3538529,0.3589214,0.3563871,0.36108,0.3607988,0.3657736,0.3579827,0.3520699,0.3618313,0.3648349,0.371499,0.3702783,0.3687765,0.370654,0.3672754,0.3636143,0.3579827,0.3560122,0.3490663,0.3413697,0.3446545,0.3490663,0.3450302,0.3304821,0.3195938,0.3067351,0.3026053,0.3013854,0.3031684,0.3120855,0.3045764,0.3113342,0.3095512,0.3088944,0.311053,0.3196883,0.3133054,0.3149009,0.3174352,0.3116161,0.3029809,0.3052333,0.3107711,0.3027934,0.3132117,0.3138685,0.3333913,0.3304821,0.3327345,0.3289803,0.3367706,0.3331101,0.3478463,0.3516005,0.3546979,0.3634268,0.3586402,0.3634268,0.3668998,0.3615494,0.3575133,0.361925,0.3607988,0.3707477,0.383419,0.3712171,0.3772243,0.3775999,0.3814478,0.3821991,0.3719683,0.369809,0.3709359,0.3729071,0.3787261,0.378163,0.3873614,0.383419,0.3836065,0.3801342,0.3847334,0.3744089,0.3786324,0.383419,0.3898956,0.3910218,0.3837946,0.3829497,0.3902705,0.3928992,0.3873614,0.3828559,0.3776937,0.3782568,0.3806036,0.3803217,0.3806036,0.376755,0.3792892,0.3716864,0.3686828,0.3678385,0.3684016,0.3071909,0.3130547,0.3060967,0.3039075,0.2953071,0.297105,0.2948377,0.2987474,0.2905375,0.2912412,0.2939778,0.300076,0.3035163,0.3035163,0.3060186,0.3026564,0.2999198,0.3035163,0.3067223,0.3086764,0.3116481,0.3034382,0.3002329,0.2953852,0.2928048,0.2842044,0.2865505,0.2868629,0.2911631,0.3073479,0.3091458,0.3099276,0.3197011,0.2932742,0.274744,0.2819371,0.290147,0.2932742,0.3002329,0.2906156,0.2878009,0.2889739,0.2912412,0.2972619,0.3027345,0.3009366,0.3017965,0.3007016,0.3046893,0.3032039,0.3059405,0.3075041,0.3082859,0.3114912,0.3154789,0.314619,0.314619,0.3166513,0.3151658,0.3283796,0.3258773,0.3254086,0.328692,0.3354165,0.3369019,0.3388561,0.3394816,0.3408109,0.3414365,0.3413584,0.3422964,0.3458929,0.3486296,0.3473003,0.3492551,0.3468309,0.345033,0.3422183,0.3424526,0.3401853,0.3366669,0.3398729,0.3433913,0.3436256,0.3410452,0.3379962,0.3286139,0.333931,0.3303344,0.3320542,0.3385436,0.3347128,0.3342434,0.3344777,0.3342434,0.3379181,0.3370582,0.3179024,0.322437,0.3221245,0.3184499,0.3254868,0.3318199,0.3320542,0.3276759,0.325643,0.3196229,0.3182156,0.3114912,0.3138365,0.3139935,0.3135241,0.3086764,0.3151658,0.3177462,0.3136022,0.3071909,0.3048456,0.3048456,0.3042981,0.3035163,0.3034382,0.3084421,0.303282,0.3010147,0.3022651,0.2983562,0.3032039,0.3061748,0.3082078,0.309302,0.3057836,0.3089115,0.3121167,0.312273,0.3135241,0.317355,0.3186061,0.3216552,0.3198573,0.3279102,0.3232195,0.3272847,0.3229844,0.3236881,0.3216552,0.3257211,0.3234538,0.3341653,0.3306469,0.3322105,0.3374487,0.3417489,0.3402634,0.3431563,0.3426095,0.3418277,0.3427657,0.340889,0.3412803,0.3416708,0.3422964,0.3408109,0.3435475,0.3465966,0.3530079,0.3576205,0.359341,0.3515224,0.3519918,0.3575424,0.3584023,0.3575424,0.3586374,0.3573081,0.3612959,0.3614521,0.3619208,0.3622339,0.3633281,0.3666903,0.3681758,0.3708343,0.3633281,0.3630157,0.3641887,0.3631719,0.3648136,0.3648924,0.3688795,0.3680977,0.3691926,0.3707562,0.3744309,0.3743528,0.373571,0.3778712,0.3768544,0.3801385,0.3680196,0.3691138,0.3680196,0.3682539,0.3677853,0.3707562,0.3700525,0.3688795,0.3656742,0.3626244,0.364345,0.3655173,0.3667684,0.368489,0.3661429,0.3720067,0.3741177,0.3770887,0.3749783,0.3752908,0.3706,0.3755251,0.3752908,0.3764638,0.3758382,0.374509,0.3835788,0.382562,0.3798253,0.377558,0.3781836,0.3799822,0.3804509,0.3806071,0.3842036,0.3838912,0.3831094,0.3851424,0.3850643,0.3848292,0.389755,0.3917099,0.395775,0.3994504,0.406096,0.4107087,0.4127416,0.413211,0.4172761,0.4155563,0.422437,0.418293,0.4045715,0.4103323,0.4119037,0.4113804,0.4116048,0.409809,0.4137748,0.4080878,0.4139991,0.4161691,0.4175907,0.4169169,0.4189377,0.4222296,0.4185635,0.4193865,0.4230526,0.4285145,0.4314329,0.4270929,0.4279159,0.4293375,0.4252972,0.4206582,0.4148967,0.4213314,0.4214812,0.4123532,0.4241752,0.4206582,0.4160939,0.4175907,0.4171412,0.4190868,0.4200596,0.4154953,0.4168423,0.4132507,0.4154953,0.4120535,0.4140737,0.4112306,0.4118292,0.4139991,0.4072648,0.4151963,0.4163935,0.4196854,0.4205084,0.422454,0.421107,0.4210325,0.4214067,0.4214067,0.4246986,0.4269431,0.4248484,0.4236512,0.4246986,0.425971,0.424624,0.4223042,0.4260456,0.426794,0.4102578,0.4050202,0.3899808,0.3885593,0.389008,0.3843691,0.3878108,0.3818249,0.3780089,0.3786821,0.3774849,0.3724718,0.3711248,0.3715742,0.3715742,0.369853,0.3708258,0.3756146,0.3766619,0.370676,0.367683,0.3705262,0.3720976,0.3753902,0.3774849,0.3774849,0.3762132,0.3729958,0.3746418,0.3764375,0.3783832,0.3790563,0.3854165,0.3845182,0.3860151,0.3862394,0.3961912,0.3957424,0.3953682,0.3963403,0.3974629,0.3973883,0.4008301,0.4045715,0.4057687,0.4059178,0.407115,0.408986,0.4064418,0.4057687,0.4064418,0.4057687,0.4015032,0.4022517,0.402476,0.4032245,0.409809,0.4117546,0.4144479,0.415944,0.4199851,0.4210325,0.427617,0.4295626,0.4234268,0.4261201,0.4226784,0.4248484,0.421631,0.4210325,0.4169921,0.4222296,0.4231272,0.4272428,0.4295626,0.4305347,0.4333033,0.4362217,0.4376433,0.4396634,0.438915,0.4431052,0.444078,0.4435546,0.4431052,0.4413846,0.4469964,0.4458737,0.4428808,0.4500639,0.4514109,0.4569481,0.463233,0.4619612,0.4624846,0.4706405,0.4715387,0.4699673,0.4740822,0.4749805,0.4752049,0.4773748,0.4755038,0.4752794,0.4734091,0.4752794,0.4764766,0.4762522,0.4838841,0.4912916,0.4951076,0.4995974,0.5000462,0.5129908,0.5144124,0.5155343,0.5138884,0.5077526,0.5096237,0.5046851,0.5019165,0.5018419,0.5038621,0.4883739,0.4660016,0.4784968,0.4761024,0.4651786,0.4685451,0.475055,0.4813406,0.4880743,0.49638,0.4930874,0.4779734,0.4855301,0.4865029,0.4875509,0.4873259,0.4876255,0.4847824,0.465403,0.465403,0.4680963,0.4727352,0.4715387,0.4738578,0.4807413,0.4789455,0.4779734,0.4755038,0.4747561,0.4729603,0.4761777,0.4739324,0.4728105,0.463233,0.45373,0.4620358,0.4560498,0.4573216,0.4579955,0.4443024,0.4471462,0.4526081,0.4549272,0.4501385,0.4525328,0.4559,0.4547781,0.4541042,0.4511113,0.4538799,0.4631584,0.4642058,0.4657019,0.4612874,0.4637563,0.4646545,0.4639061,0.4733338,0.4736335,0.4761777,0.4777491,0.4709394,0.4747561,0.4796194,0.4827622,0.4899453,0.4938358,0.4935369,0.4862785,0.4836597,0.4803678,0.4856799,0.4855301,0.4880743,0.4918902,0.4905432,0.4875509,0.4897955,0.4898701,0.478572,0.4850813,0.4826869,0.4874757,0.4927885,0.4930874,0.5021416,0.4948832,0.4973528,0.5000462,0.4956316,0.4967535,0.4979507,0.4973528,0.4919648,0.4838841,0.4850067,0.4765519,0.4805922,0.4729603,0.4689193,0.4689945,0.463233,0.4689193,0.4641305,0.4657772,0.4665249,0.4697422,0.4779734,0.4800682,0.4774494,0.4837343,0.489346,0.4887481,0.4877753,0.4904687,0.4860541,0.4891969,0.4860541,0.4873259,0.467573,0.4636817,0.4637563,0.4662259,0.465403,0.4646545,0.4571725,0.460764,0.4627089,0.4442278,0.4496897,0.4582198,0.4547028,0.4535056,0.4564986,0.4494653,0.4534311,0.4585188,0.4630831,0.461587,0.4627089,0.4571725,0.4612874,0.4660761,0.4692189,0.4730349,0.4692189,0.4648044,0.4564241,0.4538799,0.4491664,0.4501385,0.4549272,0.4546283,0.4578456,0.4592672,0.4633828,0.4584442,0.4623347,0.4621856,0.4658517,0.4682461,0.4646545,0.4663758,0.4737833,0.4724363,0.4698175,0.4688447,0.46675,0.4643556,0.4515607,0.4456494,0.4438536,0.4412348,0.4273926,0.4192367,0.4235767,0.4152709,0.422454,0.4177405,0.4142981,0.3998573,0.3955173,0.3952929,0.3804033,0.390654,0.3902798,0.3873621,0.386314,0.4022517,0.4163935,0.4124277,0.4069658,0.3985103,0.4068906,0.403823,0.3988845,0.3942455,0.4037478,0.4069658,0.4083121,0.411156,0.4030001,0.3997074,0.4092104,0.4091358,0.4164681,0.4100334,0.4201349,0.4207328,0.4110062,0.4162437,0.4042718,0.4043471,0.4009799,0.3960413,0.3968643,0.4025506,0.4004559,0.3984357,0.3974629,0.400306,0.3945452,0.3887084,0.3821991,0.3843691,0.397164,0.3935724,0.4009799,0.408462,0.4007555,0.3915515,0.4092104,0.405469,0.4160939,0.4172911,0.4163183,0.4198353,0.3986367,0.4046723,0.4032521,0.4074416,0.4103529,0.4065185,0.4085067,0.4099979,0.4031811,0.4072286,0.411489,0.4166016,0.4097848,0.411134,0.4156785,0.420578,0.420152,0.4154655,0.4133352,0.4140453,0.4146134,0.4224952,0.4252645,0.4293829,0.4328623,0.4292409,0.42988,0.4327913,0.4402471,0.4428034,0.4354186,0.4293829,0.4354896,0.4313712,0.4344245,0.4313001,0.4244834,0.4229213,0.429525,0.4280338,0.4311581,0.4322943,0.4342115,0.4376198,0.4407442,0.4357026,0.4378328,0.4307321,0.4307321,0.4325783,0.4308741,0.430093,0.4337854,0.4375488,0.4435845,0.4496911,0.4472769,0.4499751,0.4502592,0.4471348,0.4504722,0.4540936,0.4568629,0.4568629,0.4586381,0.4620464,0.4625435,0.4621885,0.4607683,0.4602002,0.4615494,0.4640347,0.467372,0.4694312,0.4748988,0.4707094,0.4696443,0.4663069,0.4655258,0.4636086,0.4609103,0.4589221,0.4492651,0.4541646,0.4617624,0.4619754,0.4619754,0.4557978,0.4634666,0.467372,0.4637506,0.4660229,0.4643897,0.4589931,0.4628275,0.4626855,0.4553717,0.4584251,0.4590641,0.4620464,0.4779521,0.4760349,0.476816,0.476674,0.4771711,0.476532,0.4781652,0.47639,0.4793723,0.4780231,0.4706384,0.4775261,0.4724846,0.4736917,0.4776681,0.4748988,0.4847689,0.4781652,0.4846269,0.4841298,0.4840588,0.4811475,0.4865441,0.485976,0.4894554,0.4947099,0.4963431,0.494994,0.49542,0.4939289,0.4920116,0.495136,0.4987574,0.4912306,0.4982603,0.4987574,0.4995385,0.4981183,0.4852659,0.476816,0.4594192,0.457573,0.4611233,0.4640347,0.4654548,0.4648157,0.4628275,0.4507562,0.4459987,0.4506142,0.4528865,0.4512533,0.4542356,0.4508272,0.4457147,0.4457147,0.4474899,0.4461407,0.4428744,0.4450756,0.4420223,0.4466378,0.4443655,0.4480579,0.4429454,0.4423773,0.4502592,0.4409572,0.4445786,0.4374068,0.4463538,0.4441525,0.4431584,0.439111,0.4378328,0.4416673,0.4359867,0.4382589,0.4377618,0.4423063,0.4357736,0.4228502,0.4228502,0.4250515,0.4236313,0.4169566,0.4186608,0.4215721,0.4278918,0.420294,0.4261166,0.4281048,0.429667,0.4150394,0.420152,0.4129092,0.4146844,0.4216431,0.4232053,0.4253355,0.4234183,0.4271817,0.430235,0.4327913,0.4330043,0.4376198,0.4379039,0.438827,0.4361287,0.4370518,0.4374778,0.4354186,0.4358446,0.4360577,0.439111,0.4403891,0.4266136,0.4259746,0.4339274,0.4467088,0.4544486,0.4641057,0.4596322,0.4570049,0.4410992,0.4435845,0.4452886,0.4508272,0.448413,0.4477739,0.4497621,0.458141,0.4648867,0.4730526,0.4737627,0.476248,0.4748988,0.4761059,0.4808635,0.4811475,0.4837038,0.4846269,0.4846979,0.4876092,0.4900234,0.4809345,0.4773841,0.4722005,0.4731946,0.4695732,0.4661649,0.467656,0.46723,0.467372,0.4727686,0.4773131,0.457857,0.4626145,0.4524604,0.4432294,0.4246964,0.4358446,0.4359156,0.4374778,0.4359156,0.4327913,0.4457857,0.4553717,0.4498331,0.4365547,0.4358446,0.4476319,0.4528155,0.4456437,0.4442945,0.4535965,0.4647447,0.4680821,0.4625435,0.4322943,0.4119861,0.4048143,0.3950863,0.3914649,0.3940212,0.3825889,0.3937371,0.3699496,0.3620677,0.3486473,0.3636299,0.3352269,0.3017113,0.3168359,0.252432,0.2537101,0.2189164,0.2020876,0.2182774,0.2157921,0.2545622,0.2821132,0.3108003,0.2998651,0.2965277,0.299297,0.2689058,0.2636512,0.2438401,0.280551,0.2930484,0.3100902,0.3250728,0.3096641,0.3102322,0.2934034,0.2883619,0.3130015,0.3066108,0.2988,0.3034865,0.3021373,0.2975928,0.317617,0.3223035,0.3515586,0.3235106,0.3123624,0.3032024,0.3091671,0.2988,0.3147767,0.3220905,0.3103742,0.2937584,0.2716751,0.2792729,0.2823262,0.3093801,0.3121494,0.3153447,0.3101612,0.3203153,0.3431797,0.3607186,0.3483633,0.3397714,0.3519847,0.3603636,0.3746361,0.3692395,0.3850742,0.3936661,0.3796776,0.3639139,0.3306114,0.3436058,0.3475112,0.3480082,0.3441738,0.3504225,0.3420436,0.3431087,0.3408365,0.3210253,0.3192502,0.3125044,0.3210964,0.3149897,0.3236526,0.326777,0.3415465,0.3359369,0.3429667,0.3345878,0.3393453,0.3372151,0.336505,0.3600795,0.3528368,0.345807,0.3423986,0.3506355,0.3497834,0.3417596,0.3423986,0.3343038,0.3353689,0.3389903,0.3379962,0.3311084,0.3338777,0.3439608,0.3582333,0.3656181,0.3663992,0.3749201,0.3879855,0.3882695,0.3889086,0.3816658,0.3757012,0.3688845,0.3687425,0.3762693,0.3945182,0.3981396,0.4144003,0.4085777,0.4158205,0.4233473,0.41156,0.4155365,0.4273237,0.4173117,0.420578,0.4087907,0.4033942,0.3967905,0.3962224,0.4055244,0.402187,0.4048143,0.3975715,0.3776894,0.3627778,0.3586594,0.3590854,0.3597955,0.3597245,0.3778314,0.3732869,0.3726479,0.3652631,0.3700916,0.3788965,0.3897607,0.3982816,0.3956543,0.3997018,0.3993467,0.3893347,0.3867074,0.3776894,0.3842221,0.3777604,0.3985656,0.3952993,0.3991337,0.3880565,0.3730029,0.3630618,0.3510616,0.3613577,0.3631329,0.3609316,0.3761983,0.3748491,0.392459,0.3918199,0.4337854,0.4276078,0.4185898,0.4154655,0.420862,0.4382589,0.4369808,0.4283178,0.4247675,0.4237023,0.4339984,0.448342,0.448697,0.4505432,0.439608,0.4530285,0.4508272,0.4641767,0.476816,0.4678691,0.4494071,0.4504012,0.4523184,0.448342,0.4409572,0.4529575,0.4491941,0.449052,0.4435845,0.438898,0.4357736,0.4499041,0.4464958,0.4479869,0.4544486,0.4567919,0.4624015,0.4493361,0.4592061,0.4645317,0.4605553,0.4641057,0.4567919,0.4745438,0.4684371,0.4714194,0.4660939,0.4722715,0.4687922,0.4732656,0.4600582,0.4430874,0.4450756,0.4383299,0.4524604,0.4371938,0.4472059,0.4734077,0.4697153,0.4836327,0.49542,0.4900944,0.4893844,0.4789462,0.4836327,0.4834197,0.5052901,0.4942839,0.4959881,0.5056451,0.5263083,0.5258113,0.5223319,0.5054321,0.4976923,0.5020237,0.5055031,0.505006,0.4927217,0.4896684,0.5000355,0.5126749,0.5101186,0.5125328,0.514237,0.5177164,0.5113967,0.5157282,0.4993964,0.4944969,0.4892423,0.4734787,0.4743308,0.4871831,0.4895264,0.4839168,0.4899524,0.4892423,0.4968402,0.5066392,0.5066392,0.5052191,0.5037989,0.5058581,0.5028758,0.4998935,0.5117518,0.5094795,0.5132429,0.5096925,0.4921537,0.4998225,0.4994674,0.5110417,0.5158702,0.5145921,0.5160122,0.514166,0.504935,0.5113967,0.4995385,0.5006746,0.4981893,0.5101186,0.4965561,0.4868281,0.4777391,0.4830647,0.5009586,0.4930768,0.4883193,0.4837038,0.4874672,0.4854789,0.4942839,0.495775,0.5014557,0.4999645,0.4960591,0.5062842,0.5041539,0.4948519,0.4996095,0.5011006,0.5220479,0.5197046,0.5132429,0.5180004,0.5081304,0.5067102,0.5069942,0.5111127,0.4964851,0.504225,0.5021657,0.4969112,0.4983313,0.4913726,0.476745,0.4704963,0.4735497,0.4783072,0.4843428,0.4795853,0.4778101,0.4643187,0.4757509,0.467017,0.4587801,0.4574309,0.4558688,0.4550877,0.439537,0.4496201,0.4643187,0.4616204,0.4627565,0.4686501,0.4699993,0.4732656,0.4756089,0.4690762,0.4681531,0.4629695,0.4586381,0.4748278,0.4704253,0.467443,0.4665199,0.4705674,0.4553007,0.4542356,0.4511113,0.438898,0.4399631,0.4369097,0.4372648,0.4409572,0.4506852,0.4515373,0.4435135,0.4525314,0.4522474,0.4536675,0.4562238,0.4568629,0.4520344,0.4462117,0.4453597,0.4479159,0.4464248,0.4546616,0.4554427,0.4494781,0.4502592,0.4570049,0.448981,0.4550167,0.4594192,0.4656678,0.4690762,0.476319,0.4631826,0.4650288,0.4565078,0.4790883,0.4721295,0.4744018,0.4707094,0.476319,0.4800114,0.4783072,0.4756089,0.4814315,0.4854789,0.4987574,0.495065,0.5004615,0.4978343,0.4937158,0.4814315,0.4812895,0.4912306,0.4971952,0.5040829,0.5032308,0.5096215,0.5032308,0.5077043,0.5080594,0.5177164,0.5093375,0.5079173,0.495136,0.4891003,0.48555,0.4828517,0.4846269,0.4823546,0.4831357,0.4741177,0.4716325,0.47639,0.4736207,0.4456437,0.4421643,0.430164,0.4222112,0.4415963,0.4327913,0.448839,0.4479159,0.4530285,0.4464248,0.4462828,0.4291699,0.4265426,0.4266847,0.4222822,0.4248385,0.4255485,0.4370518,0.4502592,0.4558688,0.4619044,0.4654548,0.4633956,0.4603423,0.4630405,0.467727,0.4874672,0.4832777,0.4851949,0.4854079,0.4785912,0.485621,0.4847689,0.4834197,0.4813605,0.4740467,0.4716325,0.4741177,0.4744728,0.4621174,0.4642477,0.4682241,0.4505432,0.4609813,0.4731946,0.4836327,0.4779521,0.4712064,0.4749698,0.4751118,0.4903785,0.4998935,0.5001065,0.4917986,0.4885323,0.4998225,0.5011006,0.4910175,0.485905,0.4934318,0.4912306,0.4842718,0.5064262,0.4998935,0.4639636,0.4886743,0.4622595,0.4398211,0.4187318,0.4347795,0.458283,0.4563658,0.4594192,0.457999,0.4680111,0.495633,0.4935028,0.4996805,0.4930058,0.504935,0.4886743,0.4929347,0.495775,0.4974792,0.5091245,0.4995385,0.4886743,0.4893844,0.4894554,0.4912306,0.4758929,0.4714194,0.4611943,0.457999,0.4545196,0.4736207,0.486402,0.4879642,0.4893134,0.4930058,0.4898814,0.4724846,0.4722005,0.4564368,0.4602712,0.4731946,0.4602002,0.457502,0.4643187,0.4721295,0.4420933,0.4379749,0.4192999,0.4292409,0.4265426,0.4172406,0.430093,0.4265426,0.4356316,0.4142583,0.4214301,0.4239864,0.4329333,0.4259746,0.430306,0.4415252,0.448626,0.4481289,0.4403181,0.448839,0.4468508,0.4468508,0.4511823,0.4455727,0.439679,0.411347,0.3842931,0.3788255,0.3884116,0.3720088,0.3754882,0.3764823,0.3709437,0.3694525,0.3919619,0.3933111,0.3886246,0.3819499,0.3837961,0.3840091,0.3754172,0.3743521,0.3847902,0.3862813,0.3873464,0.3901867,0.3932401,0.3893347,0.3992757,0.40169,0.4136903,0.4147554,0.4117731,0.4081517,0.4129802,0.4084357,0.4292409,0.4261166,0.4282468,0.429454,0.4229213,0.4278918,0.4322232,0.4253355,0.4303771,0.4347795,0.4453597,0.439395,0.4447916,0.4425904,0.4477029,0.4411702,0.43904,0.4283888,0.420791,0.4219982,0.4219982,0.4257616,0.3970035,0.3945892,0.3911809,0.3904708,0.383512,0.3852162,0.3786125,0.3877015,0.3919619,0.4027551,0.4079386,0.3951573,0.4037492,0.4036072,0.3836541,0.3858553,0.3783285,0.3589434,0.3488603,0.3387062,0.3353689,0.3397003,0.3568842,0.3465881,0.3451679,0.3517006,0.3701626,0.3656891,0.3570262,0.3512036,0.3494994,0.3442448,0.3482213,0.3587304,0.3561031,0.3686714,0.3744231,0.3686714,0.3654051,0.3670383,0.3689555,0.3776894,0.3819499,0.3863523,0.3935951,0.3894057,0.3889086,0.3784705,0.3791096,0.3948733,0.3900447,0.3943052,0.3838671,0.3986367,0.4085777,0.3987077,0.4028971,0.4036072,0.4046013,0.4079386,0.4051694,0.4103529,0.411489,0.4144003,0.4076546,0.4093588,0.4176667,0.4239154,0.4218561,0.4168856,0.4175957,0.4180927,0.4254065,0.4418093,0.4431584,0.4419513,0.4377618,0.4276078,0.4213591,0.4160335,0.4167436,0.4147554,0.4124831,0.4152524,0.4136903,0.4094298,0.4146134,0.4142583,0.4156785,0.4285309,0.4270397,0.4527444,0.4538096,0.4594902,0.4652418,0.4714904,0.4792303,0.4819996,0.4926507,0.5011006,0.5089115,0.5025208,0.5025918,0.5066392,0.5093375,0.5094085,0.5011716,0.5023788,0.50458,0.5083434,0.50458,0.4971242,0.4991834,0.4975502,0.4946389,0.4737627,0.4850529,0.4929347,0.4927217,0.486402,0.4848399,0.4844848,0.4780942,0.4835617,0.4817866,0.4868991,0.4889583,0.486331,0.4898104,0.4922247,0.4916566,0.4868281,0.4897394,0.4846269,0.476177,0.4696443,0.4796563,0.4597032,0.4751118,0.4619044,0.4697863,0.4745438,0.4692182,0.4621174,0.4539516,0.4568629,0.4561528,0.4631116,0.4626855,0.4729106,0.4749698,0.4739047,0.4688632,0.4783072,0.4814315,0.4817866,0.4802244,0.4902365,0.4919406,0.4964141,0.504225,0.5032308,0.4986154,0.5002485,0.5004615,0.4917986,0.4870411,0.485905,0.4919406,0.4932898,0.4976212,0.4964141,0.4942839,0.4880352,0.4923667,0.4974792,0.4832777,0.4793723,0.4721295,0.4773131,0.4771711,0.4834907,0.486331,0.4817155,0.4838458,0.4730526,0.4694312,0.4724846,0.4742597,0.4702833,0.4711354,0.4799404,0.4879642,0.4821416,0.4894554,0.4869701,0.4905205,0.4935028,0.4971952,0.504651,0.5055741,0.5080594,0.5057871,0.4931478,0.4917276,0.4901654,0.4810765,0.477029,0.4885323,0.4894554,0.4930058,0.5002485,0.4962721,0.4915146,0.4817866,0.486402,0.4940709,0.49542,0.5034439,0.5068522,0.5027338,0.5064972,0.5207697,0.514166,0.5132429,0.5191365,0.5187105,0.5249592,0.523184,0.5240361,0.5333381,0.5353973,0.5358943,0.5204857,0.5155862,0.5128169,0.5221899,0.5412909,0.5451963,0.550948,0.5436342,0.5456224,0.541788,0.542072,0.533054,0.5344032,0.5393027,0.5411489,0.542427,0.5298587,0.5338351,0.5388057,0.5479656,0.5466165,0.5394447,0.5407229,0.5434211,0.5459064,0.5444153,0.5483917,0.5489597,0.5554214,0.5535042,0.5593268,0.5576227,0.551232,0.5525811,0.5570546,0.5375275,0.5321309,0.5268764,0.523397,0.5229,0.5362494,0.5307818,0.5342612,0.522971,0.5275865,0.5331961,0.5356813,0.5224739,0.5337641,0.5345452,0.5281545,0.5177164,0.523042,0.532273,0.5301427,0.5277285,0.5096925,0.5041539,0.5119648,0.5158702,0.5123908,0.514095,0.5248172,0.5121778,0.5180714,0.5199886,0.5152311,0.5163673,0.5209827,0.5185685,0.5198466,0.523539,0.5258823,0.5349002,0.5375275,0.5376695,0.5478946,0.5499538,0.5567706,0.5602499,0.5575517,0.5579067,0.5551374,0.5548534,0.5577647,0.5773628,0.5768657,0.5727473,0.5803451,0.598381,0.6196123,0.6235887,0.6305475,0.6271391,0.6456011,0.6414116,0.6436839,0.645104,0.6370802,0.644394,0.6411276,0.6405595,0.6460981,0.6463822,0.6474473,0.644536,0.6418377,0.6493645,0.6426188,0.6536249,0.644891,0.6561102,0.6553291,0.6597316,0.6511397,0.65398,0.6721579,0.6779805,0.6785486,0.6733651,0.6785486,0.681957,0.6803238,0.6816019,0.6860044,0.6764184,0.6845132,0.6786906,0.6774835,0.6872115,0.6838032,0.6926791,0.6958035,0.6959455,0.6772705,0.6862884,0.6928211,0.6941703,0.7532486,0.7716396,0.7820067,0.7930839,0.7855571,0.7863381,0.7776042,0.7609174,0.7575091,0.7539587,0.7596393,0.7589292,0.7520415,0.7521125,0.7536746,0.7698644,0.756728,0.7498402,0.7430945,0.7401832,0.7419584,0.747639,0.738763,0.7428105,0.7436626,0.757367,0.757083,0.7502663,0.7451537,0.7356387,0.7354257,0.7114251,0.7142654,0.7261947,0.7189519,0.7163246,0.7145495,0.6976496,0.6970816,0.6946673,0.6942413,0.6960165,0.691543,0.6977917,0.7109991,0.7215792,0.7151175,0.7166797,0.7111411,0.6983597,0.7019101,0.7053895,0.6959455,0.7068096,0.7108571,0.7094369,0.7038273,0.7096499,0.71036,0.7063836,0.7074487,0.7072357,0.7132713,0.7167507,0.7120642,0.7146205,0.7038273,0.7258397,0.7134843,0.6955904,0.7043954,0.7210822,0.7214372,0.7233544,0.7298871,0.7261237,0.720017,0.7225733,0.7227153,0.7435916,0.7496272,0.7404672,0.7412483,0.7466449,0.7496272,0.7461478,0.7533906,0.7559469,0.7460058,0.7503373,0.7523255,0.7364908,0.7401832,0.747497,0.7373429,0.7413193,0.7402542,0.7578641,0.7629766,0.7705034,0.7746219,0.7916637,0.7712135,0.7594263,0.7565149,0.7582191,0.7616985,0.7401122,0.7294611,0.7352127,0.7341476,0.7398282,0.71952,0.6880636,0.6760633,0.6738621,0.6747852,0.6528439,0.6589505,0.6659093,0.6585955,0.6741461,0.6689626,0.6854363,0.6835901,0.6938862,0.6887737,0.6988568,0.6944543,0.7069516,0.7015551,0.7043244,0.7097919,0.7132713,0.7136974,0.7034013,0.700632,0.7036143,0.7002769,0.7190939,0.7139814,0.719449,0.7265497,0.7364908,0.7418874,0.7406092,0.7555208,0.7713555,0.7683732,0.7695093,0.7903146,0.7866222,0.8005397,0.803593,0.7845629,0.7749769,0.7761841,0.7751899,0.7872612,0.785344,0.7861251,0.7954981,0.7911667,0.7971313,0.7990485,0.7896755,0.8008947,0.8054392,0.8077114,0.8025989,0.8157353,0.7956401,0.7922318,0.794007,0.8029539,0.8044451,0.8009657,0.7913797,0.7978414,0.7932259,0.8016048,0.8403039,0.8441383,0.859902,0.868707,0.8623873,0.8682099,0.859547,0.8606121,0.8645885,0.8669318,0.8714762,0.8802102,0.8763048,0.8894412,0.8925655,0.8947667,0.8964709,0.8982461,0.9087552,0.9138678,0.9297025,0.9246609,0.9042108,0.896755,0.9127317,0.9076901,0.9025776,0.9055599,0.9047078,0.8850387,0.887808,0.8937726,0.8996663,0.8993112,0.9002343,0.897181,0.8946957,0.8870269,0.8794291,0.8715473,0.8704111,0.8714052,0.8650856,0.8699851,0.8747426,0.8769438,0.8770858,0.8946247,0.9005184,0.9219627,0.9265071,0.9421998,0.9307676,0.9312646,0.9484485,0.9524959,0.9613719,0.9566144,0.953135,0.9508627,0.9505787,0.9688277,0.9696798,0.9657743,0.9545551,0.9677626,0.9579635,0.9485195,0.925655,0.9198324,0.9132997,0.8822694,0.8798551,0.8831925,0.8897962,0.8997373,0.9006604,0.9010154,0.8931336,0.8960449,0.8560676,0.8557126,0.8404459,0.8160903,0.8080665,0.7909536,0.8063623,0.8123979,0.7965632,0.8013207,0.8001136,0.7787403,0.7873322,0.7913087,0.7894625,0.794646,0.7773912,0.7781723,0.7773912,0.7907406,0.7494852,0.7178158,0.6909039,0.681815,0.7428105,0.7315203,0.738195,0.7359227,0.738479,0.7153305,0.7211532,0.7119222,0.7302421,0.738763,0.7487041,0.7542427,0.7598523,0.7593553,0.766101,0.7875453,0.8057232,0.8096996,0.8058652,0.8190016,0.8334872,0.8246112,0.8580558,0.878719,0.8828375,0.8710502,0.8700561,0.8586949,0.8560676,0.8352624,0.8361145,0.8338422,0.8472627,0.832067,0.8332742,0.822552,0.8182916,0.8258184,0.822268,0.8202798,0.8280196,0.8171554,0.8344103,0.8284456,0.813108,0.7934389,0.8080665,0.7915217,0.7962082,0.7866932,0.8019598,0.8170134,0.8075694,0.8146702,0.8234041,0.8190016,0.8330611,0.8375346,0.8496769,0.8421501,0.8510971,0.8592629,0.8655116,0.8562096,0.8532983,0.8362565,0.8357594,0.8258894,0.831357,0.8280906,0.8453455,0.8400909,0.8311439,0.8399489,0.8346233,0.8306469,0.8402329,0.8248243,0.8142441,0.8190726,0.8186466,0.8270255,0.878861,0.8479017,0.8336292,0.8574167,0.8635234,0.8534403,0.859689,0.8622453,0.8667897,0.8593339,0.8522332,0.8714052,0.8590499,0.8579138,0.869275,0.8723283,0.8708372,0.8522332,0.8619612,0.8669318,0.8749556,0.887453,0.878222,0.8682099,0.8763758,0.8593339,0.8485408,0.8564936,0.840943,0.8387417,0.850458,0.8398069,0.8434993,0.8402329,0.8363985,0.8750266,0.8717603,0.8610381,0.8618192,0.8745296,0.8799262,0.8826244,0.8748136,0.8808493,0.868778,0.859973,0.8701981,0.8682099,0.8545054,0.8427182,0.8578428,0.8543634,0.8672158,0.887808,0.8703401,0.8832635,0.8910033,0.8819144,0.8763758,0.8752397,0.8624583,0.868778,0.8676418,0.8937726,0.8937726,0.9243769,0.9361642,0.9328978,0.9406376,0.9214656,0.91543,0.9027906,0.8962579,0.8932046,0.8851807,0.9270752,0.9311226,0.9561883,0.9632181,0.9527799,0.9429809,0.9598807,0.9768515,0.9579635,0.9484485,0.9465313,0.9351701,0.9493716,0.9676205,0.9846624,0.9974437,0.9970177,1.004615,0.9973727,1.014344,1.018391,1.015835,1.01832,1.01832,1.006462,1.005752,1],"pr":[0.08605056,0.08605056,0.08605056,0.08768231,0.0815998,0.08308315,0.08085777,0.07803877,0.08337996,0.0815998,0.08456721,0.08961088,0.08605056,0.09495207,0.09421075,0.09643613,0.09168856,0.1001449,0.1038543,0.09969964,0.1034091,0.1023702,0.1002933,0.1031123,0.108305,0.1120138,0.106821,0.1090464,0.106821,0.1060797,0.1050408,0.1074146,0.1091948,0.1097884,0.107563,0.107563,0.1050408,0.1074146,0.1048924,0.1093432,0.1130526,0.1120138,0.1157232,0.1112725,0.1126074,0.1109756,0.1130526,0.1157232,0.1146844,0.1105304,0.1109756,0.107563,0.1094916,0.105486,0.1080082,0.108305,0.10964,0.114536,0.1149812,0.1157232,0.1155748,0.1169097,0.1164652,0.1149812,0.1172066,0.1157232,0.1137946,0.1112725,0.1142392,0.1140907,0.1109756,0.1127558,0.118097,0.1175034,0.1157232,0.1164652,0.10964,0.1090464,0.110382,0.1057829,0.1115686,0.11602,0.1172066,0.1170582,0.120174,0.1216573,0.1216573,0.122993,0.1226962,0.120916,0.1232898,0.1231414,0.1226962,0.1223993,0.1207676,0.1186906,0.1197288,0.1172066,0.1167613,0.1167613,0.1137946,0.1157232,0.1169097,0.1157232,0.1142392,0.1133494,0.1175034,0.1179486,0.1164652,0.1172066,0.1194319,0.122993,0.1253668,0.123735,0.1231414,0.1252183,0.1250699,0.1218057,0.1264049,0.120916,0.1243279,0.1238827,0.1280373,0.1284826,0.1221025,0.1246247,0.1253668,0.1219541,0.1272953,0.1223993,0.1299659,0.1283342,0.1305595,0.1298175,0.1326365,0.1313009,0.1304111,0.1281858,0.1274437,0.1308564,0.1335269,0.1347135,0.1367905,0.1378293,0.1416864,0.1390158,0.1370873,0.1363452,0.1366421,0.1351587,0.1341199,0.1364936,0.1373841,0.1357523,0.1367905,0.1385713,0.1339715,0.1333785,0.1372357,0.1409444,0.1393126,0.1390158,0.1379777,0.1406483,0.1404999,0.1388674,0.1439118,0.1452475,0.1449506,0.1434666,0.1424285,0.1456927,0.1439118,0.1446538,0.1409444,0.1431705,0.1418348,0.141538,0.1424285,0.1440602,0.1449506,0.1439118,0.1449506,0.1419832,0.1445054,0.1452475,0.1479181,0.149253,0.1540006,0.1535554,0.1587481,0.1571164,0.1602322,0.1578584,0.1553362,0.1544458,0.1535554,0.15133,0.152072,0.1498466,0.1494014,0.1449506,0.146434,0.1495498,0.1442086,0.1480665,0.1480665,0.1498466,0.152814,0.1502918,0.1523688,0.1538522,0.1538522,0.1547426,0.1542974,0.1525172,0.1540006,0.1535554,0.1507363,0.1535554,0.1523688,0.148511,0.1461372,0.1507363,0.1496982,0.1467308,0.146434,0.1479181,0.15133,0.1489562,0.1413896,0.1410928,0.1446538,0.1388674,0.138719,0.1393126,0.1402031,0.1390158,0.1373841,0.1366421,0.1321913,0.1333785,0.1320429,0.1344167,0.1364936,0.1370873,0.1391642,0.1391642,0.138719,0.1382745,0.138719,0.1367905,0.1378293,0.1379777,0.1336746,0.1326365,0.1360491,0.1399063,0.1396095,0.1388674,0.1422801,0.1449506,0.1430221,0.1409444,0.1431705,0.1425769,0.1413896,0.1412412,0.1453959,0.1440602,0.1425769,0.1393126,0.1318945,0.1304111,0.1310048,0.1315977,0.1310048,0.1290755,0.1305595,0.1327849,0.1321913,0.1354555,0.1350103,0.1384222,0.1399063,0.1412412,0.1448022,0.1456927,0.1450991,0.1440602,0.1448022,0.1491046,0.1480665,0.1495498,0.148511,0.1442086,0.1476212,0.1491046,0.1502918,0.1522204,0.1517752,0.149253,0.1510332,0.1491046,0.1502918,0.1537038,0.1550394,0.1599354,0.1596386,0.1575616,0.1566712,0.1600838,0.1594902,0.1574132,0.1581552,0.156968,0.1574132,0.1584513,0.1617155,0.1618639,0.1620124,0.1609735,0.1631989,0.1600838,0.15771,0.1574132,0.1585997,0.1614187,0.1611219,0.1624576,0.1642377,0.1599354,0.1594902,0.1550394,0.1537038,0.1525172,0.1508848,0.1465824,0.1495498,0.152072,0.152814,0.1522204,0.1542974,0.1529624,0.1526656,0.1531108,0.1550394,0.1542974,0.1550394,0.1542974,0.152814,0.152072,0.1526656,0.1517752,0.1550394,0.1553362,0.1578584,0.1621608,0.1642377,0.167502,0.1686885,0.1753646,0.1740297,0.1728424,0.1728424,0.1697273,0.1704687,0.1691337,0.1685401,0.1707655,0.1716559,0.1715075,0.1759582,0.1780352,0.1781836,0.1764035,0.1753646,0.1762551,0.1772939,0.1750685,0.1786288,0.1753646,0.178332,0.1772939,0.1815963,0.1805574,0.1821899,0.186789,0.1835248,0.1824867,0.1817447,0.1848605,0.1836732,0.183228,0.1848605,0.1861954,0.1854534,0.1884208,0.1866406,0.185305,0.1842668,0.1845637,0.1904978,0.1887176,0.189608,0.1925747,0.1891628,0.1873827,0.1890144,0.186047,0.1854534,0.1919818,0.1906462,0.1921302,0.1939104,0.1918334,0.1922786,0.1942072,0.1924263,0.191685,0.1924263,0.1903494,0.1936136,0.1936136,0.1928715,0.1910914,0.1910914,0.1928715,0.1910914,0.1870858,0.1899041,0.1890144,0.1882724,0.1884208,0.1899041,0.1872343,0.1863438,0.1818931,0.1817447,0.1823383,0.1864922,0.186047,0.1854534,0.1873827,0.1879756,0.1864922,0.1882724,0.1894596,0.1906462,0.1897564,0.1910914,0.190201,0.1925747,0.1899041,0.189608,0.1872343,0.1900533,0.1878272,0.1894596,0.1924263,0.1893112,0.1922786,0.1891628,0.1913882,0.190943,0.1934652,0.193762,0.1927231,0.1925747,0.1924263,0.1893112,0.1885692,0.1899041,0.1900533,0.1900533,0.1912398,0.188124,0.1876788,0.190201,0.1887176,0.1890144,0.1891628,0.193762,0.1890144,0.1848605,0.1844153,0.186047,0.1844153,0.1817447,0.1801122,0.1768487,0.1734361,0.1752169,0.1749201,0.1734361,0.1728424,0.1750685,0.1737329,0.1750685,0.1753646,0.1746233,0.1741781,0.1758098,0.1780352,0.1775907,0.1768487,0.1752169,0.1738813,0.1741781,0.1772939,0.180409,0.1808542,0.1808542,0.1826344,0.1780352,0.1775907,0.1753646,0.1765519,0.1767003,0.1768487,0.1768487,0.1795193,0.1772939,0.1769971,0.1750685,0.1735845,0.1732877,0.1706171,0.1713591,0.1704687,0.1761067,0.1777384,0.1771455,0.1801122,0.1772939,0.1768487,0.1780352,0.1753646,0.1735845,0.1737329,0.1756614,0.1772939,0.1792225,0.1829312,0.1799645,0.1795193,0.1795193,0.1796677,0.181151,0.1842668,0.1858986,0.1894596,0.1878272,0.1903494,0.1899041,0.1879756,0.1869374,0.1893112,0.1927231,0.1906462,0.1876788,0.1879756,0.1887176,0.1884208,0.1845637,0.1873827,0.1897564,0.1928715,0.1952453,0.1919818,0.191685,0.1894596,0.1890144,0.1900533,0.189608,0.1894596,0.1873827,0.1869374,0.1884208,0.1906462,0.1903494,0.1934652,0.1940588,0.1931684,0.1933168,0.1964326,0.1967294,0.1988064,0.2004381,0.2031087,0.2044444,0.2048889,0.2029603,0.2022183,0.1991032,0.1995484,0.1994,0.1982127,0.1964326,0.1976191,0.1964326,0.1980643,0.1971739,0.2002897,0.2041476,0.1999929,0.2004381,0.2002897,0.2007349,0.2022183,0.198658,0.1974707,0.195839,0.196581,0.196581,0.1956905,0.1933168,0.1899041,0.1885692,0.1882724,0.1866406,0.1858986,0.1863438,0.1906462,0.1887176,0.1884208,0.1876788,0.1875311,0.185305,0.1854534,0.1845637,0.1821899,0.181151,0.1786288,0.1897564,0.1866406,0.1826344,0.1854534,0.1826344,0.1833764,0.1863438,0.1820415,0.183228,0.181151,0.183228,0.185305,0.1879756,0.1927231,0.1931684,0.1894596,0.1913882,0.1931684,0.1948008,0.1994,0.2001413,0.2001413,0.2029603,0.2010317,0.2041476,0.2008833,0.2013286,0.201477,0.2007349,0.2041476,0.2019222,0.1998452,0.1999929,0.204296,0.2050373,0.2060761,0.2057793,0.2059277,0.2047405,0.2074111,0.2103785,0.2142363,0.2149776,0.2121586,0.2111205,0.2115657,0.2140879,0.2131975,0.2130491,0.2137911,0.2136427,0.2131975,0.2155713,0.2143847,0.2209124,0.2212093,0.2173514,0.2146808,0.2121586,0.2121586,0.2139395,0.2121586,0.2160165,0.2194291,0.2185387,0.2216545,0.21928,0.2203188,0.2246212,0.226402,0.22566,0.2258084,0.2253632,0.2283306,0.2275886,0.2252148,0.2262536,0.2255116,0.2213577,0.2244728,0.2240283,0.2246212,0.2209124,0.2194291,0.2246212,0.2268466,0.2310012,0.229814,0.227737,0.2238799,0.2259568,0.2261052,0.2280338,0.2262536,0.2215061,0.2237314,0.2223958,0.2167585,0.215126,0.2136427,0.2142363,0.2197252,0.2232862,0.2238799,0.2310012,0.2348583,0.2344131,0.2339686,0.235452,0.2376773,0.2378257,0.2347099,0.2317425,0.2399027,0.2399027,0.2436122,0.2436122,0.2470241,0.2458375,0.2445019,0.2425733,0.2447987,0.2416829,0.2391607,0.2399027,0.24109,0.2446503,0.2495463,0.2483597,0.2504367,0.2508819,0.2528105,0.25192,0.2584478,0.2608223,0.26097,0.2646794,0.2583001,0.2749166,0.2731364,0.2731364,0.2737293,0.2732841,0.2753618,0.2715039,0.2667564,0.2679436,0.2605255,0.2541454,0.2553327,0.2528105,0.2583001,0.2526621,0.253997,0.2565192,0.2528105,0.253997,0.2556295,0.2594866,0.262454,0.2574096,0.2234346,0.2268466,0.2253632,0.2221174,0.2147185,0.2177036,0.2241951,0.2208194,0.2193915,0.2204303,0.2208194,0.2199105,0.2201704,0.2186125,0.2157566,0.2187425,0.2258823,0.228479,0.229907,0.226402,0.2282191,0.22783,0.228479,0.2315941,0.2265313,0.2245843,0.2205602,0.2165355,0.2174444,0.2223773,0.2221174,0.2180934,0.2214684,0.2221174,0.2212093,0.2161464,0.2109536,0.2108237,0.2104339,0.2113428,0.2079678,0.2119918,0.2135497,0.2144586,0.2153675,0.2083569,0.2093957,0.2075779,0.2145885,0.2158865,0.2161464,0.2225073,0.2226372,0.2212093,0.2226372,0.2249741,0.2253632,0.2277001,0.2280892,0.228479,0.229128,0.229907,0.229258,0.2270511,0.2253632,0.2260122,0.2252333,0.2310751,0.2310751,0.2309451,0.232503,0.229907,0.2295171,0.231854,0.230426,0.22783,0.2293872,0.229777,0.227181,0.229258,0.2289981,0.2296471,0.2314649,0.2328928,0.2361379,0.2349698,0.2347099,0.2347099,0.2330228,0.2350998,0.2357488,0.2379557,0.2362678,0.2399027,0.2393837,0.2460044,0.2453554,0.2488603,0.2521054,0.2531442,0.2531442,0.2510672,0.2526252,0.2504182,0.2509373,0.2523653,0.2587261,0.2627508,0.2653469,0.26301,0.2652169,0.2640489,0.2648278,0.2632699,0.260414,0.2587261,0.2614528,0.26314,0.2621018,0.260284,0.2584669,0.2621018,0.2639189,0.264438,0.2711887,0.2775502,0.2758624,0.2801463,0.2797572,0.2831321,0.286248,0.2918299,0.2942967,0.2887141,0.2931279,0.2950749,0.2966328,0.2963736,0.3319435,0.3410303,0.3301257,0.3272698,0.3277895,0.3150671,0.3083164,0.3033835,0.3037733,0.3045516,0.3001385,0.3031243,0.3133793,0.3102641,0.3133793,0.3225967,0.3341504,0.3347994,0.3345395,0.3281787,0.3270106,0.3258418,0.3273997,0.3276596,0.3263616,0.3268806,0.3311645,0.3294767,0.3303856,0.3357083,0.3311645,0.3232458,0.3249336,0.3292175,0.3351885,0.3302556,0.3302556,0.3245438,0.3171441,0.3123411,0.3115622,0.3177931,0.2981907,0.3046815,0.3035135,0.3019555,0.2959838,0.3033835,0.3074082,0.3115622,0.3119513,0.3101342,0.2998786,0.2996187,0.3048115,0.3048115,0.3084464,0.3219477,0.3276596,0.3261017,0.3232458,0.3227267,0.3198708,0.317923,0.3202599,0.3210388,0.3251928,0.3250628,0.3280487,0.3293474,0.3281787,0.3292175,0.3241547,0.3266207,0.3359675,0.3336313,0.3327224,0.3325925,0.3254527,0.318572,0.3211688,0.317404,0.3201299,0.3177931,0.3183129,0.3137691,0.317404,0.318053,0.3227267,0.3266207,0.3263616,0.3229859,0.3229859,0.318572,0.321428,0.3237648,0.3259717,0.3531037,0.3434971,0.3505077,0.347781,0.3467429,0.3467429,0.3446652,0.3459639,0.3467429,0.347911,0.347781,0.3550508,0.3070326,0.2994057,0.2860044,0.2797941,0.2828446,0.2873117,0.2825179,0.286549,0.2866577,0.2921054,0.287203,0.2842612,0.2826266,0.2842612,0.2796847,0.2769609,0.2794667,0.2756536,0.2760896,0.2699879,0.2743464,0.2776149,0.2888369,0.2849144,0.2843698,0.2778328,0.286113,0.2897089,0.286331,0.2879656,0.2856778,0.2840432,0.2831712,0.2787041,0.2783775,0.2736924,0.2691167,0.2475438,0.2418782,0.2452553,0.2491777,0.2508123,0.2480885,0.2452553,0.2456913,0.244602,0.255606,0.2469985,0.2385003,0.2413328,0.2394809,0.2248811,0.2186707,0.2242271,0.2239004,0.2185614,0.2306554,0.2346872,0.2365391,0.2343599,0.2240091,0.2310914,0.2274963,0.2294568,0.2290215,0.2221572,0.2200873,0.2155109,0.213659,0.2164915,0.2179081,0.2179081,0.2124604,0.2029816,0.2084293,0.2149663,0.2170361,0.2152929,0.2126784,0.2061407,0.201783,0.2104992,0.2163829,0.2221572,0.2279315,0.2256437,0.2248811,0.2349045,0.2377377,0.2401349,0.2400256,0.2370837,0.2351225,0.2305468,0.2297841,0.2332706,0.2347959,0.2296748,0.2273869,0.2323986,0.2329433,0.2447106,0.2499404,0.2492871,0.2464539,0.2542988,0.2491777,0.2436214,0.238827,0.2352318,0.2242271,0.2281495,0.2192154,0.213441,0.2179081,0.2125691,0.2114798,0.2119158,0.208102,0.2102812,0.2029816,0.2104992,0.2035262,0.2066861,0.2135497,0.2116978,0.2089739,0.2113712,0.2041795,0.2059227,0.2111532,0.2115884,0.2142036,0.2101725,0.2125691,0.207666,0.2024363,0.1944827,0.1973159,0.1905602,0.189253,0.1912142,0.1928488,0.1941561,0.1923035,0.1902336,0.1895803,0.1839146,0.1839146,0.1741085,0.1639757,0.1631045,0.1555862,0.1535163,0.1582014,0.1573294,0.1498118,0.1478506,0.1455627,0.1444728,0.1490492,0.1572208,0.1627771,0.1624505,0.1680068,0.1722559,0.1676802,0.1685522,0.1689874,0.1673535,0.1579834,0.1598353,0.158092,0.1555862,0.1551502,0.1597266,0.1658283,0.1637577,0.1634311,0.1746531,0.1761784,0.1731279,0.1756337,0.1808635,0.1832607,0.1819534,0.1747625,0.165501,0.1650657,0.1669176,0.1720386,0.1686608,0.1718206,0.1668082,0.1722559,0.1726919,0.1713846,0.1673535,0.1621238,0.1683342,0.1616879,0.1649563,0.1680068,0.1739999,0.1711667,0.1678982,0.1651743,0.1645203,0.1746531,0.1791202,0.1766144,0.1802102,0.1815174,0.1786849,0.1723653,0.1698594,0.1680068,0.1678982,0.1687694,0.1742171,0.1761784,0.1821714,0.177377,0.1736725,0.1729099,0.1725833,0.1803188,0.1793382,0.1736725,0.1746531,0.1756337,0.1801008,0.1790116,0.1793382,0.1803188,0.1805368,0.1814088,0.1815174,0.1821714,0.1801008,0.1820621,0.1830427,0.1823887,0.1784669,0.1735639,0.1765057,0.1725833,0.1758517,0.1783576,0.1754157,0.1790116,0.1716026,0.1694234,0.1714933,0.1731279,0.1653923,0.1619058,0.158528,0.153189,0.1554775,0.1560222,0.1568934,0.1547149,0.1518817,0.1528623,0.1500298,0.1481772,0.1477412,0.1540609,0.1432749,0.1441461,0.1452354,0.1418583,0.1391344,0.1421849,0.139897,0.1419669,0.1453447,0.1379358,0.1342313,0.1359746,0.1346673,0.1417489,0.1516637,0.1577654,0.1530803,0.1524263,0.1608159,0.1498118,0.1498118,0.1451267,0.1467613,0.1458894,0.1428389,0.1424029,0.1437101,0.1558042,0.1560222,0.1514464,0.1538429,0.1561308,0.15831,0.1519911,0.1502478,0.1474146,0.1450174,0.1439281,0.1419669,0.1448001,0.1476326,0.1451267,0.1432749,0.1437101,0.146434,0.147306,0.1488312,0.1493758,0.1428389,0.1442548,0.1486132,0.1476326,0.14687,0.146216,0.1485046,0.1450174,0.1428389,0.1361926,0.1421849,0.1552595,0.1456714,0.1400057,0.1383718,0.1381538,0.1383718,0.1256238,0.134776,0.1316161,0.1223553,0.1222467,0.1160364,0.1138571,0.1106973,0.1078648,0.1087361,0.1209387,0.1121139,0.1032884,0.1087361,0.1024171,0.1052496,0.09740467,0.09337357,0.09435419,0.08748988,0.07910033,0.08879784,0.08912448,0.09653341,0.09380956,0.09304694,0.1013271,0.09838529,0.0913037,0.09468082,0.09108571,0.08465739,0.07833771,0.08302279,0.07844706,0.07692182,0.07822907,0.07594121,0.07103813,0.0747426,0.07986367,0.08356742,0.08552865,0.08901512,0.07811972,0.08531066,0.08411276,0.08324079,0.08400341,0.08738124,0.08912448,0.09152169,0.09217496,0.09184833,0.09293758,0.09827665,0.09664205,0.09163033,0.09054108,0.0896691,0.09173898,0.08956046,0.09032308,0.08901512,0.08934247,0.09119435,0.09555279,0.09871263,0.1016538,0.09816729,0.09925726,0.1006732,0.09664205,0.09184833,0.08781723,0.08672726,0.08912448,0.07670383,0.08127956,0.07986367,0.07779308,0.07855571,0.08095292,0.08596464,0.08247817,0.08127956,0.07953632,0.08258752,0.08073493,0.08302279,0.08999574,0.09010509,0.08389477,0.0828048,0.07811972,0.07572321,0.0747426,0.0745246,0.07387062,0.07147412,0.06962153,0.0747426,0.07321735,0.0745246,0.07463325,0.07016616,0.07016616,0.07267202,0.06918554,0.06831428,0.06580842,0.07071079,0.07114677,0.07223674,0.07506923,0.07517858,0.07833771,0.08062629,0.08650927,0.08476603,0.0898871,0.08759923,0.08378542,0.08247817,0.0801903,0.08062629,0.08226017,0.08934247,0.09729603,0.1004559,0.0967514,0.09010509,0.09206632,0.0953348,0.09653341,0.09544344,0.1001285,0.1056856,0.1066662,0.09587943,0.1001285,0.09609742,0.103615,0.1078648,0.1018718,0.1010005,0.1065568,0.1031797,0.1026344,0.1069928,0.1098253,0.1148377,0.1122225,0.1114599,0.1075375,0.1126585,0.104051,0.1074288,0.1050316,0.1094987,0.1111333,0.1118959,0.1102613,0.1086274,0.1113513,0.1162536,0.116145,0.1158184,0.1219193,0.1219193,0.1187602,0.1172343,0.1171256,0.1177796,0.1176702,0.1178882,0.1196315,0.1190868,0.1133125,0.1126585,0.1102613,0.1066662,0.1118959,0.1053582,0.1076468,0.1108059,0.1128765,0.1117866,0.1149464,0.1123319,0.1142924,0.1111333,0.1090627,0.1059036,0.104269,0.1073195,0.1066662,0.1090627,0.1101527,0.1136391,0.1126585,0.1112419,0.1160364,0.1144018,0.1145104,0.1156004,0.1171256,0.1156004,0.1145104,0.1153824,0.1191955,0.1233359,0.127585,0.127367,0.1351033,0.1357566,0.1364106,0.135212,0.1311809,0.1304182,0.1313981,0.1309629,0.1245345,0.1312895,0.1319435,0.1336867,0.1395697,0.1380445,0.1385898,0.1361926,0.1358659,0.13543,0.1344493,0.1298729,0.1287836,0.1322701,0.1324881,0.1458894,0.1439281,0.1442548,0.1445821,0.1431655,0.1428389,0.1497025,0.147524,0.146434,0.1436015,0.1467613,0.1456714,0.1412043,0.1392431,0.1406597,0.1427295,0.1407683,0.1378272,0.1335774,0.1364106,0.1390251,0.1431655,0.1410956,0.1428389,0.1414223,0.1425115,0.1467613,0.1519911,0.1487226,0.1514464,0.1482866,0.1502478,0.1486132,0.1439281,0.1421849,0.1390251,0.1344493,0.1437101,0.1384804,0.1409863,0.1428389,0.1459987,0.1478506,0.1491578,0.1536249,0.1504651,0.1512284,0.1509011,0.1558042,0.1565668,0.1574388,0.1546056,0.1514464,0.1487226,0.1526443,0.1527537,0.1543876,0.1509011,0.1518817,0.1544969,0.1543876,0.1552595,0.1556955,0.1549329,0.1535163,0.1565668,0.1570028,0.159618,0.1598353,0.1574388,0.1571114,0.1549329,0.1527537,0.1559128,0.1544969,0.1563488,0.1566761,0.1571114,0.1552595,0.1567848,0.1565668,0.1582014,0.1571114,0.1564581,0.158092,0.1611432,0.1632131,0.1598353,0.1632131,0.1640844,0.1628865,0.1678982,0.1661549,0.1645203,0.1570028,0.1627771,0.1635397,0.1628865,0.1586367,0.1554775,0.1563488,0.158964,0.1562401,0.1520997,0.1525357,0.1507924,0.1554775,0.1554775,0.1564581,0.1568934,0.1543876,0.1544969,0.1558042,0.1554775,0.1543876,0.1532983,0.1529717,0.1544969,0.1539523,0.1555862,0.159182,0.1562401,0.1565668,0.1598353,0.1582014,0.1571114,0.1598353,0.1626685,0.1649563,0.1636491,0.1656103,0.1665909,0.1672442,0.1665909,0.1687694,0.1702954,0.1648477,0.1677895,0.1700774,0.1689874,0.1711667,0.170404,0.1736725,0.1760697,0.1774863,0.1751978,0.1747625,0.1786849,0.176941,0.178031,0.1784669,0.1801008,0.1759611,0.1737819,0.1753071,0.1779216,0.1844593,0.1895803,0.1902336,0.1812994,0.1781396,0.1926308,0.1916502,0.1951367,0.1850039,0.1798828,0.1713846,0.1650657,0.1787936,0.1794476,0.1865291,0.1822801,0.1803188,0.1787936,0.1751978,0.1763964,0.1678982,0.1718206,0.1688788,0.1619058,0.1637577,0.1741085,0.1719293,0.1728012,0.1781396,0.1816261,0.171058,0.1690968,0.169968,0.1730192,0.1832607,0.1854399,0.1900156,0.1998218,0.1961173,0.1956813,0.1954633,0.1913229,0.1893624,0.1913229,0.1850039,0.1868565,0.188599,0.1801008,0.17084,0.1741085,0.1739999,0.1767237,0.1845679,0.1857665,0.1853305,0.1846773,0.1919769,0.1920862,0.1891444,0.1831513,0.1841326,0.1867471,0.1867471,0.1947007,0.2014557,0.1981872,0.1911056,0.1881637,0.189689,0.1895803,0.1945921,0.1958993,0.1985145,0.1957907,0.1989498,0.1968799,0.1879458,0.1846773,0.1812994,0.1838053,0.1834787,0.1831513,0.1821714,0.1779216,0.1736725,0.1759611,0.1725833,0.1718206,0.1711667,0.1731279,0.1690968,0.1660456,0.1760697,0.178031,0.1812994,0.178249,0.1836967,0.1863112,0.1868565,0.1881637,0.1893624,0.1914322,0.189907,0.1917589,0.1937201,0.195028,0.1915409,0.189689,0.1966619,0.1962259,0.1974246,0.1979692,0.1954633,0.1957907,0.1949187,0.2002578,0.2042889,0.2005844,0.2025456,0.2023276,0.200911,0.2018916,0.2028723,0.2048335,0.2074487,0.2003664,0.2028723,0.2096272,0.2093006,0.2102812,0.2099546,0.2091919,0.2101725,0.2108258,0.2106078,0.2122424,0.213223,0.2183441,0.2162735,0.213441,0.200911,0.1942647,0.1947007,0.1930668,0.1933935,0.1874011,0.1913229,0.1993858,0.1997124,0.1996038,0.1929575,0.1997124,0.1987318,0.1961173,0.1949187,0.1992771,0.2064681,0.2097366,0.2111532,0.2114798,0.2099546,0.2103898,0.2112618,0.2137677,0.213441,0.2093006,0.2114798,0.2114798,0.213659,0.2137677,0.2137677,0.2135497,0.2116978,0.2113712,0.214095,0.213223,0.2149663,0.2158375,0.2154023,0.2213946,0.2223752,0.2256437,0.2254257,0.2268423,0.2290215,0.2289122,0.2329433,0.2342512,0.2309827,0.2258617,0.2284769,0.2293482,0.2291302,0.2381737,0.2353405,0.2277136,0.2321806,0.2333793,0.2326166,0.2376283,0.2365391,0.2412242,0.2444927,0.2464539,0.2461272,0.2434034,0.2455826,0.2419868,0.2488511,0.2516836,0.2536448,0.2449286,0.2390449,0.2363211,0.2403522,0.2436214,0.2339246,0.2366484,0.2400256,0.2370837,0.2340332,0.238391,0.2395896,0.2353405,0.2331613,0.2294568,0.2234645,0.2135497,0.220632,0.2258617,0.2278229,0.2268423,0.2245544,0.2276049,0.225535,0.2159469,0.2231378,0.2288035,0.2258617,0.2239004,0.2252077,0.2262977,0.2276049,0.2304381,0.2300021,0.225535,0.2250991,0.2306554,0.2313094,0.2298928,0.2258617,0.2276049,0.2341419,0.2369751,0.2357765,0.2369751,0.2407882,0.2399169,0.2402436,0.2389363,0.2339246,0.2301108,0.2282589,0.2270603,0.2256437,0.2349045,0.2337066,0.2333793,0.2290215,0.2247724,0.2250991,0.2271689,0.2291302,0.2280409,0.2213946,0.2221572,0.2241184,0.2276049,0.2298928,0.2345779,0.2254257,0.2225932,0.2205226,0.2169275,0.2182348,0.2131137,0.2156203,0.2103898,0.2103898,0.2146396,0.2086473,0.2043975,0.2051601,0.2067947,0.213223,0.2125691,0.213005,0.2119158,0.2150749,0.2215032,0.2239004,0.2252077,0.2271689,0.2306554,0.2285855,0.2339246,0.2312007,0.2220486,0.220632,0.2239004,0.2174721,0.2194334,0.2124604,0.2167095,0.219542,0.2227018,0.225535,0.2260797,0.2248811,0.2187794,0.2163829,0.2154023,0.2150749,0.2016736,0.2033082,0.1869651,0.1859845,0.1747625,0.1895803,0.1789022,0.1866385,0.1874011,0.1924128,0.1893624,0.1902336,0.1804275,0.17084,0.1713846,0.1772683,0.1766144,0.1731279,0.177159,0.1830427,0.1834787,0.1860932,0.182498,0.1789022,0.177595,0.1834787,0.1787936,0.1735639,0.1746531,0.1734545,0.182934,0.1866385,0.1860932,0.1842413,0.1844593,0.1777043,0.1707307,0.1749798,0.1799922,0.1845679,0.1787936,0.1826067,0.1751978,0.1663729,0.1682248,0.17084,0.1755251,0.1798828,0.1859845,0.1833693,0.1909962,0.1877278,0.1893624,0.1843499,0.1889264,0.1834787,0.1847859,0.1928488,0.1964439,0.1939381,0.1974246,0.2093006,0.20832,0.201347,0.1878364,0.1926308,0.1984052,0.1917589,0.1930668,0.1905602,0.1814088,0.1864205,0.1907782,0.1862025,0.1876191,0.1858752,0.1842413,0.1858752,0.1831513,0.1781396,0.1700774,0.1690968,0.1765057,0.1792296,0.189253,0.1877278,0.189689,0.189907,0.189689,0.1911056,0.1854399,0.1914322,0.1897976,0.1838053,0.1806455,0.1809728,0.1807548,0.1814088,0.1883817,0.1878364,0.1891444,0.1937201,0.1942647,0.1942647,0.1955727,0.196008,0.201129,0.2010204,0.1988412,0.1991678,0.2030903,0.2098452,0.208102,0.2095186,0.2074487,0.2090826,0.2169275,0.2213946,0.2242271,0.2270603,0.2234645,0.2284769,0.2297841,0.2273869,0.2232465,0.2227018,0.2305468,0.2297841,0.2369751,0.2359945,0.2355585,0.2366484,0.2381737,0.2389363,0.2399169,0.2337066,0.2342512,0.238609,0.2429674,0.2426408,0.2407882,0.2406795,0.2415508,0.2465625,0.2499404,0.2486331,0.2517929,0.2499404,0.2486331,0.2366484,0.2440567,0.2515749,0.2499404,0.2474345,0.2578939,0.2542988,0.2526642,0.2539715,0.2535362,0.2510303,0.2477611,0.2477611,0.2491777,0.2512476,0.2496137,0.2493957,0.2481971,0.2529916,0.2575673,0.2520102,0.2467805,0.2479791,0.2456913,0.2408975,0.2472165,0.2550614,0.2485238,0.2490691,0.2548434,0.2557147,0.2565867,0.2569133,0.2519016,0.2527736,0.2563687,0.2599645,0.2647582,0.2601818,0.262797,0.2691167,0.2681361,0.2619257,0.2631236,0.2601818,0.2590925,0.2613804,0.2610538,0.256478,0.2563687,0.2539715,0.2444927,0.2379557,0.2465625,0.2460179,0.2401349,0.2420961,0.2405702,0.2483065,0.2424228,0.255824,0.2449286,0.2447106,0.2483065,0.2497224,0.2536448,0.2544074,0.2510303,0.2552794,0.2516836,0.2533182,0.2547341,0.2546254,0.2626883,0.2674821,0.2619257,0.2585479,0.2557147,0.2588745,0.2594192,0.2551701,0.262579,0.2678087,0.2651942,0.2614897,0.2626883,0.2611631,0.2618164,0.2605091,0.2523376,0.2537542,0.2550614,0.2595285,0.2642136,0.2687893,0.263015,0.2588745,0.2554974,0.256478,0.2655208,0.2723851,0.2719492,0.2691167,0.2675907,0.2684627,0.2758716,0.2752176,0.294394,0.2850238,0.2820819,0.2849144,0.2848058,0.2832806,0.2837165,0.2838252,0.2836072,0.2834985,0.2829539,0.2770702,0.2784861,0.2764162,0.2754356,0.275545,0.2765249,0.274891,0.2764162,0.2778328,0.2791401,0.2807747,0.281428,0.2793581,0.2826266,0.2807747,0.2899269,0.2906895,0.2898175,0.2901441,0.2903621,0.2879656,0.2890549,0.2911255,0.2875296,0.2860044,0.2882923,0.2860044,0.2885103,0.2853504,0.2862224,0.2934133,0.2906895,0.2898175,0.266429,0.2662252,0.2660222,0.2649038,0.2641916,0.2622595,0.2609373,0.2600227,0.2571753,0.2588021,0.2531073,0.2516836,0.2530058,0.2514805,0.2503614,0.2530058,0.2503614,0.2491415,0.2530058,0.2528027,0.2506668,0.251582,0.2553447,0.2547341,0.2520905,0.2532088,0.2552432,0.25626,0.2652084,0.2667337,0.2761912,0.2738522,0.2724285,0.2723269,0.27253,0.2726323,0.27253,0.2723269,0.2710048,0.2702933,0.2692764,0.2704963,0.2698864,0.2688696,0.2682596,0.2703948,0.27192,0.274259,0.274869,0.2822928,0.2800554,0.2786317,0.2769026,0.278937,0.277208,0.2829028,0.2902244,0.2895129,0.2910381,0.2884953,0.286767,0.2839196,0.2871739,0.2902244,0.2879869,0.2898175,0.2898175,0.2901228,0.2933771,0.2949024,0.2938855,0.2958177,0.302427,0.2983597,0.2980544,0.2981566,0.2985628,0.302427,0.3030377,0.3035461,0.3050714,0.3046645,0.3084272,0.3025293,0.3065966,0.3062913,0.3063935,0.3115792,0.3057829,0.2994781,0.2964276,0.3005965,0.2907328,0.2942917,0.2974444,0.2956139,0.2981566,0.2995796,0.2996819,0.2991735,0.2989697,0.2995796,0.3001903,0.3027324,0.3028339,0.3087318,0.3059867,0.3066981,0.3065966,0.3017155,0.2987666,0.2983597,0.299885,0.3003934,0.3006987,0.3093425,0.3095456,0.3112746,0.3073081,0.3078165,0.3004949,0.3026308,0.2999865,0.2997834,0.3037492,0.3040545,0.2957154,0.2984613,0.2880892,0.2898175,0.2881907,0.2881907,0.2912412,0.2927665,0.2977498,0.2968345,0.2970376,0.3004949,0.3006987,0.3010033,0.3106639,0.310054,0.3089356,0.302224,0.3002918,0.3041561,0.3033423,0.3051729,0.302427,0.3006987,0.3001903,0.3036477,0.2996819,0.2949024,0.2941902,0.2946986,0.297546,0.2913428,0.2957154,0.292055,0.295207,0.2932749,0.2851395,0.2895129,0.2883938,0.2872754,0.2874785,0.2864617,0.2893091,0.2901228,0.2894106,0.2898175,0.2829028,0.2777164,0.2780217,0.2735468,0.2780217,0.2780217,0.2783264,0.2793439,0.289106,0.2890038,0.2864617,0.2913428,0.2946986,0.2942917,0.2941902,0.3035461,0.302427,0.301614,0.3009018,0.3031392,0.3075119,0.3067997,0.3070035,0.3012071,0.2995796,0.3019186,0.2971391,0.297546,0.2954108,0.2939871,0.2958177,0.2946986,0.2978513,0.3151388,0.3132067,0.3139182,0.3093425,0.3075119,0.3106639,0.3135113,0.3065966,0.3083249,0.309444,0.3160534,0.292868,0.2960207,0.2954108,0.2937833,0.2845296,0.2823944,0.2885976,0.2856487,0.2894106,0.292055,0.2964276,0.2983597,0.3006987,0.3063935,0.307715,0.3044607,0.3073081,0.3066981,0.3060882,0.3051729,0.3035461,0.3006987,0.300088,0.299275,0.296936,0.2982582,0.2965291,0.2970376,0.3012071,0.3004949,0.2950039,0.2961223,0.2936817,0.2874785,0.289716,0.2917496,0.2956139,0.2974444,0.2991735,0.3005965,0.3036477,0.3066981,0.3072066,0.3090371,0.307105,0.3090371,0.3090371,0.301614,0.2996819,0.2982582,0.2984613,0.2953092,0.2937833,0.2966307,0.2955123,0.292258,0.2956139,0.2973429,0.2985628,0.2996819,0.3035461,0.3074104,0.3074104,0.3050714,0.3040545,0.3072066,0.3098509,0.3105624,0.3150366,0.3174778,0.3167656,0.3175794,0.3176809,0.315545,0.3142235,0.3156472,0.3184946,0.3157488,0.3158503,0.3147319,0.3159519,0.3192061,0.314935,0.3230704,0.3258162,0.3277483,0.3325279,0.3345615,0.3373074,0.3395441,0.3410694,0.339951,0.336799,0.3347646,0.3329347,0.3343577,0.3330363,0.3318157,0.335273,0.3310019,0.3390357,0.3384258,0.3341547,0.3351715,0.3412732,0.3465611,0.3444252,0.3390357,0.3323241,0.3364936,0.3332394,0.3351715,0.3298835,0.3245956,0.3222566,0.3233757,0.3259178,0.3257147,0.3270361,0.3333409,0.337612,0.3351715,0.3435099,0.3395441,0.3323241,0.3364936,0.3262231,0.3283583,0.3275446,0.3271377,0.3302904,0.3323241,0.3230704,0.3314088,0.3298835,0.3288667,0.3291721,0.3247994,0.3260193,0.3257147,0.319613,0.3205283,0.321952,0.3246972,0.3184946,0.3140197,0.3239857,0.3237819,0.3294767,0.3282568,0.3275446,0.3276461,0.3294767,0.3319172,0.3312057,0.3277483,0.3224604,0.321342,0.3275446,0.3320195,0.3236803,0.3228673,0.3263246,0.3266293,0.3284598,0.3307988,0.3319172,0.3355784,0.3341547,0.3407648,0.34229,0.3403579,0.3426969,0.3500185,0.3489001,0.3752375,0.3772712,0.3773727,0.384695,0.3802201,0.3771696,0.3775765,0.3811354,0.3764581,0.3770681,0.3761528,0.3762543,0.374526,0.3807285,0.380627,0.3825591,0.3939487,0.3905929,0.3969992,0.4047277,0.3999482,0.3961855,0.3959824,0.3947625,0.3940503,0.3955755,0.3945587,0.3941518,0.3959824,0.3936434,0.3943556,0.3949656,0.3952709,0.3991351,0.4002535,0.4122531,0.4069651,0.4127615,0.4212014,0.4189647,0.4221167,0.3896137,0.3924299,0.3990002,0.3949641,0.3924299,0.3951516,0.3917723,0.393838,0.3943066,0.3954335,0.3952453,0.3910218,0.395621,0.394776,0.3952453,0.3942129,0.3923354,0.3892381,0.3904587,0.388675,0.3847334,0.3791018,0.3722495,0.3756288,0.3596727,0.3589214,0.3514131,0.3486906,0.3514131,0.3505681,0.3523511,0.3521636,0.3533835,0.3565753,0.3536654,0.3516942,0.3543222,0.3570447,0.3614557,0.3587339,0.3596727,0.3592033,0.3595782,0.3561059,0.3595782,0.3557303,0.3531023,0.3457814,0.3496293,0.3521636,0.354416,0.3576078,0.3607051,0.3623006,0.36277,0.3711233,0.3740332,0.3719683,0.3690584,0.366243,0.3621132,0.3605169,0.3618313,0.3628637,0.3535717,0.3438103,0.3470013,0.350005,0.3365831,0.341276,0.3292615,0.3299191,0.3227856,0.3227856,0.3216587,0.3194064,0.3271966,0.3437165,0.3435284,0.3393986,0.3395867,0.3374274,0.3454995,0.3471888,0.345687,0.3541348,0.3567628,0.3607051,0.3623006,0.3639899,0.3608926,0.3590151,0.3677441,0.3817297,0.3769424,0.3775062,0.378163,0.3796648,0.3791955,0.3795711,0.3818235,0.3848271,0.3896137,0.3897074,0.3923354,0.3977796,0.3858595,0.3826685,0.3836065,0.3861407,0.3876425,0.3826685,0.3716864,0.3699034,0.3707477,0.3589214,0.3531961,0.3597664,0.3673692,0.381636,0.3809785,0.3836065,0.381636,0.3843577,0.3848271,0.380791,0.3782568,0.37591,0.3727189,0.3665242,0.3596727,0.3682134,0.3730008,0.3691522,0.374127,0.3722495,0.3756288,0.367181,0.3709359,0.3733764,0.3747838,0.384264,0.3858595,0.3901768,0.3888632,0.3730945,0.3775999,0.3731882,0.3683079,0.3707477,0.3720621,0.3754413,0.3719683,0.3714052,0.3835127,0.3837946,0.3883001,0.3786324,0.3658674,0.3758162,0.3689647,0.3690584,0.3730945,0.3714052,0.3731882,0.3757225,0.3838884,0.390365,0.3872676,0.3840758,0.3836065,0.3756288,0.3791018,0.3709359,0.3675566,0.3726252,0.3678385,0.3747838,0.3734701,0.3800398,0.3760044,0.379946,0.3742207,0.3707477,0.36277,0.3604232,0.3718746,0.3717802,0.3675566,0.3697153,0.3651161,0.367181,0.3735639,0.3743144,0.378163,0.3809785,0.3809785,0.3861407,0.3835127,0.3810722,0.3838884,0.3906462,0.4026607,0.4019094,0.3995633,0.4024725,0.4025662,0.4033175,0.4078229,0.3999382,0.4034112,0.402285,0.3927111,0.3931804,0.3936498,0.4035987,0.4029418,0.4021913,0.4008769,0.4080104,0.4084797,0.4087616,0.4060392,0.4061336,0.4062274,0.4017219,0.3939317,0.3992814,0.4023788,0.3927111,0.3946822,0.392148,0.3941192,0.3907399,0.3883001,0.3863289,0.3857658,0.397029,0.3974984,0.3944948,0.3904587,0.3935561,0.3939317,0.3995633,0.4028481,0.4041625,0.4050067,0.4010651,0.3992814,0.3993751,0.383419,0.3797586,0.386892,0.3820109,0.3806036,0.3769424,0.3699034,0.3737513,0.3919605,0.3914912,0.3944948,0.3969353,0.3999382,0.4005958,0.4003139,0.3937435,0.3945885,0.3857658,0.3812604,0.3740332,0.3806973,0.3852965,0.3827622,0.3926173,0.3881119,0.3911155,0.3864226,0.3800398,0.3803217,0.3802279,0.3731882,0.368871,0.3692459,0.3686828,0.3693403,0.3682134,0.3636143,0.3523511,0.3464383,0.3367706,0.341276,0.3433409,0.3515068,0.3554484,0.3511312,0.3402436,0.3445608,0.3475644,0.3400554,0.3490663,0.3440915,0.3521636,0.3522573,0.3457814,0.343904,0.3492537,0.3485032,0.3396805,0.3378968,0.325883,0.3268217,0.3271029,0.3283235,0.3170603,0.3146198,0.325038,0.327666,0.3370518,0.3396805,0.3440915,0.3466257,0.3518824,0.3488788,0.3435284,0.3395867,0.3355507,0.3396805,0.3335795,0.3362075,0.3573259,0.3527267,0.3561997,0.3593908,0.3607051,0.3635206,0.3667116,0.3684016,0.3743144,0.3769424,0.3792892,0.3763793,0.374127,0.375535,0.3737513,0.3703728,0.371499,0.3623006,0.3561059,0.3531961,0.3523511,0.3537591,0.3579827,0.3554484,0.3505681,0.3472825,0.3496293,0.352633,0.3591096,0.368026,0.3651161,0.3608926,0.3672754,0.3642718,0.3538529,0.3538529,0.3589214,0.3563871,0.36108,0.3607988,0.3657736,0.3579827,0.3520699,0.3618313,0.3648349,0.371499,0.3702783,0.3687765,0.370654,0.3672754,0.3636143,0.3579827,0.3560122,0.3490663,0.3413697,0.3446545,0.3490663,0.3450302,0.3304821,0.3195938,0.3067351,0.3026053,0.3013854,0.3031684,0.3120855,0.3045764,0.3113342,0.3095512,0.3088944,0.311053,0.3196883,0.3133054,0.3149009,0.3174352,0.3116161,0.3029809,0.3052333,0.3107711,0.3027934,0.3132117,0.3138685,0.3333913,0.3304821,0.3327345,0.3289803,0.3367706,0.3331101,0.3478463,0.3516005,0.3546979,0.3634268,0.3586402,0.3634268,0.3668998,0.3615494,0.3575133,0.361925,0.3607988,0.3707477,0.383419,0.3712171,0.3772243,0.3775999,0.3814478,0.3821991,0.3719683,0.369809,0.3709359,0.3729071,0.3787261,0.378163,0.3873614,0.383419,0.3836065,0.3801342,0.3847334,0.3744089,0.3786324,0.383419,0.3898956,0.3910218,0.3837946,0.3829497,0.3902705,0.3928992,0.3873614,0.3828559,0.3776937,0.3782568,0.3806036,0.3803217,0.3806036,0.376755,0.3792892,0.3716864,0.3686828,0.3678385,0.3684016,0.3071909,0.3130547,0.3060967,0.3039075,0.2953071,0.297105,0.2948377,0.2987474,0.2905375,0.2912412,0.2939778,0.300076,0.3035163,0.3035163,0.3060186,0.3026564,0.2999198,0.3035163,0.3067223,0.3086764,0.3116481,0.3034382,0.3002329,0.2953852,0.2928048,0.2842044,0.2865505,0.2868629,0.2911631,0.3073479,0.3091458,0.3099276,0.3197011,0.2932742,0.274744,0.2819371,0.290147,0.2932742,0.3002329,0.2906156,0.2878009,0.2889739,0.2912412,0.2972619,0.3027345,0.3009366,0.3017965,0.3007016,0.3046893,0.3032039,0.3059405,0.3075041,0.3082859,0.3114912,0.3154789,0.314619,0.314619,0.3166513,0.3151658,0.3283796,0.3258773,0.3254086,0.328692,0.3354165,0.3369019,0.3388561,0.3394816,0.3408109,0.3414365,0.3413584,0.3422964,0.3458929,0.3486296,0.3473003,0.3492551,0.3468309,0.345033,0.3422183,0.3424526,0.3401853,0.3366669,0.3398729,0.3433913,0.3436256,0.3410452,0.3379962,0.3286139,0.333931,0.3303344,0.3320542,0.3385436,0.3347128,0.3342434,0.3344777,0.3342434,0.3379181,0.3370582,0.3179024,0.322437,0.3221245,0.3184499,0.3254868,0.3318199,0.3320542,0.3276759,0.325643,0.3196229,0.3182156,0.3114912,0.3138365,0.3139935,0.3135241,0.3086764,0.3151658,0.3177462,0.3136022,0.3071909,0.3048456,0.3048456,0.3042981,0.3035163,0.3034382,0.3084421,0.303282,0.3010147,0.3022651,0.2983562,0.3032039,0.3061748,0.3082078,0.309302,0.3057836,0.3089115,0.3121167,0.312273,0.3135241,0.317355,0.3186061,0.3216552,0.3198573,0.3279102,0.3232195,0.3272847,0.3229844,0.3236881,0.3216552,0.3257211,0.3234538,0.3341653,0.3306469,0.3322105,0.3374487,0.3417489,0.3402634,0.3431563,0.3426095,0.3418277,0.3427657,0.340889,0.3412803,0.3416708,0.3422964,0.3408109,0.3435475,0.3465966,0.3530079,0.3576205,0.359341,0.3515224,0.3519918,0.3575424,0.3584023,0.3575424,0.3586374,0.3573081,0.3612959,0.3614521,0.3619208,0.3622339,0.3633281,0.3666903,0.3681758,0.3708343,0.3633281,0.3630157,0.3641887,0.3631719,0.3648136,0.3648924,0.3688795,0.3680977,0.3691926,0.3707562,0.3744309,0.3743528,0.373571,0.3778712,0.3768544,0.3801385,0.3680196,0.3691138,0.3680196,0.3682539,0.3677853,0.3707562,0.3700525,0.3688795,0.3656742,0.3626244,0.364345,0.3655173,0.3667684,0.368489,0.3661429,0.3720067,0.3741177,0.3770887,0.3749783,0.3752908,0.3706,0.3755251,0.3752908,0.3764638,0.3758382,0.374509,0.3835788,0.382562,0.3798253,0.377558,0.3781836,0.3799822,0.3804509,0.3806071,0.3842036,0.3838912,0.3831094,0.3851424,0.3850643,0.3848292,0.389755,0.3917099,0.395775,0.3994504,0.406096,0.4107087,0.4127416,0.413211,0.4172761,0.4155563,0.422437,0.418293,0.4045715,0.4103323,0.4119037,0.4113804,0.4116048,0.409809,0.4137748,0.4080878,0.4139991,0.4161691,0.4175907,0.4169169,0.4189377,0.4222296,0.4185635,0.4193865,0.4230526,0.4285145,0.4314329,0.4270929,0.4279159,0.4293375,0.4252972,0.4206582,0.4148967,0.4213314,0.4214812,0.4123532,0.4241752,0.4206582,0.4160939,0.4175907,0.4171412,0.4190868,0.4200596,0.4154953,0.4168423,0.4132507,0.4154953,0.4120535,0.4140737,0.4112306,0.4118292,0.4139991,0.4072648,0.4151963,0.4163935,0.4196854,0.4205084,0.422454,0.421107,0.4210325,0.4214067,0.4214067,0.4246986,0.4269431,0.4248484,0.4236512,0.4246986,0.425971,0.424624,0.4223042,0.4260456,0.426794,0.4102578,0.4050202,0.3899808,0.3885593,0.389008,0.3843691,0.3878108,0.3818249,0.3780089,0.3786821,0.3774849,0.3724718,0.3711248,0.3715742,0.3715742,0.369853,0.3708258,0.3756146,0.3766619,0.370676,0.367683,0.3705262,0.3720976,0.3753902,0.3774849,0.3774849,0.3762132,0.3729958,0.3746418,0.3764375,0.3783832,0.3790563,0.3854165,0.3845182,0.3860151,0.3862394,0.3961912,0.3957424,0.3953682,0.3963403,0.3974629,0.3973883,0.4008301,0.4045715,0.4057687,0.4059178,0.407115,0.408986,0.4064418,0.4057687,0.4064418,0.4057687,0.4015032,0.4022517,0.402476,0.4032245,0.409809,0.4117546,0.4144479,0.415944,0.4199851,0.4210325,0.427617,0.4295626,0.4234268,0.4261201,0.4226784,0.4248484,0.421631,0.4210325,0.4169921,0.4222296,0.4231272,0.4272428,0.4295626,0.4305347,0.4333033,0.4362217,0.4376433,0.4396634,0.438915,0.4431052,0.444078,0.4435546,0.4431052,0.4413846,0.4469964,0.4458737,0.4428808,0.4500639,0.4514109,0.4569481,0.463233,0.4619612,0.4624846,0.4706405,0.4715387,0.4699673,0.4740822,0.4749805,0.4752049,0.4773748,0.4755038,0.4752794,0.4734091,0.4752794,0.4764766,0.4762522,0.4838841,0.4912916,0.4951076,0.4995974,0.5000462,0.5129908,0.5144124,0.5155343,0.5138884,0.5077526,0.5096237,0.5046851,0.5019165,0.5018419,0.5038621,0.4883739,0.4660016,0.4784968,0.4761024,0.4651786,0.4685451,0.475055,0.4813406,0.4880743,0.49638,0.4930874,0.4779734,0.4855301,0.4865029,0.4875509,0.4873259,0.4876255,0.4847824,0.465403,0.465403,0.4680963,0.4727352,0.4715387,0.4738578,0.4807413,0.4789455,0.4779734,0.4755038,0.4747561,0.4729603,0.4761777,0.4739324,0.4728105,0.463233,0.45373,0.4620358,0.4560498,0.4573216,0.4579955,0.4443024,0.4471462,0.4526081,0.4549272,0.4501385,0.4525328,0.4559,0.4547781,0.4541042,0.4511113,0.4538799,0.4631584,0.4642058,0.4657019,0.4612874,0.4637563,0.4646545,0.4639061,0.4733338,0.4736335,0.4761777,0.4777491,0.4709394,0.4747561,0.4796194,0.4827622,0.4899453,0.4938358,0.4935369,0.4862785,0.4836597,0.4803678,0.4856799,0.4855301,0.4880743,0.4918902,0.4905432,0.4875509,0.4897955,0.4898701,0.478572,0.4850813,0.4826869,0.4874757,0.4927885,0.4930874,0.5021416,0.4948832,0.4973528,0.5000462,0.4956316,0.4967535,0.4979507,0.4973528,0.4919648,0.4838841,0.4850067,0.4765519,0.4805922,0.4729603,0.4689193,0.4689945,0.463233,0.4689193,0.4641305,0.4657772,0.4665249,0.4697422,0.4779734,0.4800682,0.4774494,0.4837343,0.489346,0.4887481,0.4877753,0.4904687,0.4860541,0.4891969,0.4860541,0.4873259,0.467573,0.4636817,0.4637563,0.4662259,0.465403,0.4646545,0.4571725,0.460764,0.4627089,0.4442278,0.4496897,0.4582198,0.4547028,0.4535056,0.4564986,0.4494653,0.4534311,0.4585188,0.4630831,0.461587,0.4627089,0.4571725,0.4612874,0.4660761,0.4692189,0.4730349,0.4692189,0.4648044,0.4564241,0.4538799,0.4491664,0.4501385,0.4549272,0.4546283,0.4578456,0.4592672,0.4633828,0.4584442,0.4623347,0.4621856,0.4658517,0.4682461,0.4646545,0.4663758,0.4737833,0.4724363,0.4698175,0.4688447,0.46675,0.4643556,0.4515607,0.4456494,0.4438536,0.4412348,0.4273926,0.4192367,0.4235767,0.4152709,0.422454,0.4177405,0.4142981,0.3998573,0.3955173,0.3952929,0.3804033,0.390654,0.3902798,0.3873621,0.386314,0.4022517,0.4163935,0.4124277,0.4069658,0.3985103,0.4068906,0.403823,0.3988845,0.3942455,0.4037478,0.4069658,0.4083121,0.411156,0.4030001,0.3997074,0.4092104,0.4091358,0.4164681,0.4100334,0.4201349,0.4207328,0.4110062,0.4162437,0.4042718,0.4043471,0.4009799,0.3960413,0.3968643,0.4025506,0.4004559,0.3984357,0.3974629,0.400306,0.3945452,0.3887084,0.3821991,0.3843691,0.397164,0.3935724,0.4009799,0.408462,0.4007555,0.3915515,0.4092104,0.405469,0.4160939,0.4172911,0.4163183,0.4198353,0.3986367,0.4046723,0.4032521,0.4074416,0.4103529,0.4065185,0.4085067,0.4099979,0.4031811,0.4072286,0.411489,0.4166016,0.4097848,0.411134,0.4156785,0.420578,0.420152,0.4154655,0.4133352,0.4140453,0.4146134,0.4224952,0.4252645,0.4293829,0.4328623,0.4292409,0.42988,0.4327913,0.4402471,0.4428034,0.4354186,0.4293829,0.4354896,0.4313712,0.4344245,0.4313001,0.4244834,0.4229213,0.429525,0.4280338,0.4311581,0.4322943,0.4342115,0.4376198,0.4407442,0.4357026,0.4378328,0.4307321,0.4307321,0.4325783,0.4308741,0.430093,0.4337854,0.4375488,0.4435845,0.4496911,0.4472769,0.4499751,0.4502592,0.4471348,0.4504722,0.4540936,0.4568629,0.4568629,0.4586381,0.4620464,0.4625435,0.4621885,0.4607683,0.4602002,0.4615494,0.4640347,0.467372,0.4694312,0.4748988,0.4707094,0.4696443,0.4663069,0.4655258,0.4636086,0.4609103,0.4589221,0.4492651,0.4541646,0.4617624,0.4619754,0.4619754,0.4557978,0.4634666,0.467372,0.4637506,0.4660229,0.4643897,0.4589931,0.4628275,0.4626855,0.4553717,0.4584251,0.4590641,0.4620464,0.4779521,0.4760349,0.476816,0.476674,0.4771711,0.476532,0.4781652,0.47639,0.4793723,0.4780231,0.4706384,0.4775261,0.4724846,0.4736917,0.4776681,0.4748988,0.4847689,0.4781652,0.4846269,0.4841298,0.4840588,0.4811475,0.4865441,0.485976,0.4894554,0.4947099,0.4963431,0.494994,0.49542,0.4939289,0.4920116,0.495136,0.4987574,0.4912306,0.4982603,0.4987574,0.4995385,0.4981183,0.4852659,0.476816,0.4594192,0.457573,0.4611233,0.4640347,0.4654548,0.4648157,0.4628275,0.4507562,0.4459987,0.4506142,0.4528865,0.4512533,0.4542356,0.4508272,0.4457147,0.4457147,0.4474899,0.4461407,0.4428744,0.4450756,0.4420223,0.4466378,0.4443655,0.4480579,0.4429454,0.4423773,0.4502592,0.4409572,0.4445786,0.4374068,0.4463538,0.4441525,0.4431584,0.439111,0.4378328,0.4416673,0.4359867,0.4382589,0.4377618,0.4423063,0.4357736,0.4228502,0.4228502,0.4250515,0.4236313,0.4169566,0.4186608,0.4215721,0.4278918,0.420294,0.4261166,0.4281048,0.429667,0.4150394,0.420152,0.4129092,0.4146844,0.4216431,0.4232053,0.4253355,0.4234183,0.4271817,0.430235,0.4327913,0.4330043,0.4376198,0.4379039,0.438827,0.4361287,0.4370518,0.4374778,0.4354186,0.4358446,0.4360577,0.439111,0.4403891,0.4266136,0.4259746,0.4339274,0.4467088,0.4544486,0.4641057,0.4596322,0.4570049,0.4410992,0.4435845,0.4452886,0.4508272,0.448413,0.4477739,0.4497621,0.458141,0.4648867,0.4730526,0.4737627,0.476248,0.4748988,0.4761059,0.4808635,0.4811475,0.4837038,0.4846269,0.4846979,0.4876092,0.4900234,0.4809345,0.4773841,0.4722005,0.4731946,0.4695732,0.4661649,0.467656,0.46723,0.467372,0.4727686,0.4773131,0.457857,0.4626145,0.4524604,0.4432294,0.4246964,0.4358446,0.4359156,0.4374778,0.4359156,0.4327913,0.4457857,0.4553717,0.4498331,0.4365547,0.4358446,0.4476319,0.4528155,0.4456437,0.4442945,0.4535965,0.4647447,0.4680821,0.4625435,0.4322943,0.4119861,0.4048143,0.3950863,0.3914649,0.3940212,0.3825889,0.3937371,0.3699496,0.3620677,0.3486473,0.3636299,0.3352269,0.3017113,0.3168359,0.252432,0.2537101,0.2189164,0.2020876,0.2182774,0.2157921,0.2545622,0.2821132,0.3108003,0.2998651,0.2965277,0.299297,0.2689058,0.2636512,0.2438401,0.280551,0.2930484,0.3100902,0.3250728,0.3096641,0.3102322,0.2934034,0.2883619,0.3130015,0.3066108,0.2988,0.3034865,0.3021373,0.2975928,0.317617,0.3223035,0.3515586,0.3235106,0.3123624,0.3032024,0.3091671,0.2988,0.3147767,0.3220905,0.3103742,0.2937584,0.2716751,0.2792729,0.2823262,0.3093801,0.3121494,0.3153447,0.3101612,0.3203153,0.3431797,0.3607186,0.3483633,0.3397714,0.3519847,0.3603636,0.3746361,0.3692395,0.3850742,0.3936661,0.3796776,0.3639139,0.3306114,0.3436058,0.3475112,0.3480082,0.3441738,0.3504225,0.3420436,0.3431087,0.3408365,0.3210253,0.3192502,0.3125044,0.3210964,0.3149897,0.3236526,0.326777,0.3415465,0.3359369,0.3429667,0.3345878,0.3393453,0.3372151,0.336505,0.3600795,0.3528368,0.345807,0.3423986,0.3506355,0.3497834,0.3417596,0.3423986,0.3343038,0.3353689,0.3389903,0.3379962,0.3311084,0.3338777,0.3439608,0.3582333,0.3656181,0.3663992,0.3749201,0.3879855,0.3882695,0.3889086,0.3816658,0.3757012,0.3688845,0.3687425,0.3762693,0.3945182,0.3981396,0.4144003,0.4085777,0.4158205,0.4233473,0.41156,0.4155365,0.4273237,0.4173117,0.420578,0.4087907,0.4033942,0.3967905,0.3962224,0.4055244,0.402187,0.4048143,0.3975715,0.3776894,0.3627778,0.3586594,0.3590854,0.3597955,0.3597245,0.3778314,0.3732869,0.3726479,0.3652631,0.3700916,0.3788965,0.3897607,0.3982816,0.3956543,0.3997018,0.3993467,0.3893347,0.3867074,0.3776894,0.3842221,0.3777604,0.3985656,0.3952993,0.3991337,0.3880565,0.3730029,0.3630618,0.3510616,0.3613577,0.3631329,0.3609316,0.3761983,0.3748491,0.392459,0.3918199,0.4337854,0.4276078,0.4185898,0.4154655,0.420862,0.4382589,0.4369808,0.4283178,0.4247675,0.4237023,0.4339984,0.448342,0.448697,0.4505432,0.439608,0.4530285,0.4508272,0.4641767,0.476816,0.4678691,0.4494071,0.4504012,0.4523184,0.448342,0.4409572,0.4529575,0.4491941,0.449052,0.4435845,0.438898,0.4357736,0.4499041,0.4464958,0.4479869,0.4544486,0.4567919,0.4624015,0.4493361,0.4592061,0.4645317,0.4605553,0.4641057,0.4567919,0.4745438,0.4684371,0.4714194,0.4660939,0.4722715,0.4687922,0.4732656,0.4600582,0.4430874,0.4450756,0.4383299,0.4524604,0.4371938,0.4472059,0.4734077,0.4697153,0.4836327,0.49542,0.4900944,0.4893844,0.4789462,0.4836327,0.4834197,0.5052901,0.4942839,0.4959881,0.5056451,0.5263083,0.5258113,0.5223319,0.5054321,0.4976923,0.5020237,0.5055031,0.505006,0.4927217,0.4896684,0.5000355,0.5126749,0.5101186,0.5125328,0.514237,0.5177164,0.5113967,0.5157282,0.4993964,0.4944969,0.4892423,0.4734787,0.4743308,0.4871831,0.4895264,0.4839168,0.4899524,0.4892423,0.4968402,0.5066392,0.5066392,0.5052191,0.5037989,0.5058581,0.5028758,0.4998935,0.5117518,0.5094795,0.5132429,0.5096925,0.4921537,0.4998225,0.4994674,0.5110417,0.5158702,0.5145921,0.5160122,0.514166,0.504935,0.5113967,0.4995385,0.5006746,0.4981893,0.5101186,0.4965561,0.4868281,0.4777391,0.4830647,0.5009586,0.4930768,0.4883193,0.4837038,0.4874672,0.4854789,0.4942839,0.495775,0.5014557,0.4999645,0.4960591,0.5062842,0.5041539,0.4948519,0.4996095,0.5011006,0.5220479,0.5197046,0.5132429,0.5180004,0.5081304,0.5067102,0.5069942,0.5111127,0.4964851,0.504225,0.5021657,0.4969112,0.4983313,0.4913726,0.476745,0.4704963,0.4735497,0.4783072,0.4843428,0.4795853,0.4778101,0.4643187,0.4757509,0.467017,0.4587801,0.4574309,0.4558688,0.4550877,0.439537,0.4496201,0.4643187,0.4616204,0.4627565,0.4686501,0.4699993,0.4732656,0.4756089,0.4690762,0.4681531,0.4629695,0.4586381,0.4748278,0.4704253,0.467443,0.4665199,0.4705674,0.4553007,0.4542356,0.4511113,0.438898,0.4399631,0.4369097,0.4372648,0.4409572,0.4506852,0.4515373,0.4435135,0.4525314,0.4522474,0.4536675,0.4562238,0.4568629,0.4520344,0.4462117,0.4453597,0.4479159,0.4464248,0.4546616,0.4554427,0.4494781,0.4502592,0.4570049,0.448981,0.4550167,0.4594192,0.4656678,0.4690762,0.476319,0.4631826,0.4650288,0.4565078,0.4790883,0.4721295,0.4744018,0.4707094,0.476319,0.4800114,0.4783072,0.4756089,0.4814315,0.4854789,0.4987574,0.495065,0.5004615,0.4978343,0.4937158,0.4814315,0.4812895,0.4912306,0.4971952,0.5040829,0.5032308,0.5096215,0.5032308,0.5077043,0.5080594,0.5177164,0.5093375,0.5079173,0.495136,0.4891003,0.48555,0.4828517,0.4846269,0.4823546,0.4831357,0.4741177,0.4716325,0.47639,0.4736207,0.4456437,0.4421643,0.430164,0.4222112,0.4415963,0.4327913,0.448839,0.4479159,0.4530285,0.4464248,0.4462828,0.4291699,0.4265426,0.4266847,0.4222822,0.4248385,0.4255485,0.4370518,0.4502592,0.4558688,0.4619044,0.4654548,0.4633956,0.4603423,0.4630405,0.467727,0.4874672,0.4832777,0.4851949,0.4854079,0.4785912,0.485621,0.4847689,0.4834197,0.4813605,0.4740467,0.4716325,0.4741177,0.4744728,0.4621174,0.4642477,0.4682241,0.4505432,0.4609813,0.4731946,0.4836327,0.4779521,0.4712064,0.4749698,0.4751118,0.4903785,0.4998935,0.5001065,0.4917986,0.4885323,0.4998225,0.5011006,0.4910175,0.485905,0.4934318,0.4912306,0.4842718,0.5064262,0.4998935,0.4639636,0.4886743,0.4622595,0.4398211,0.4187318,0.4347795,0.458283,0.4563658,0.4594192,0.457999,0.4680111,0.495633,0.4935028,0.4996805,0.4930058,0.504935,0.4886743,0.4929347,0.495775,0.4974792,0.5091245,0.4995385,0.4886743,0.4893844,0.4894554,0.4912306,0.4758929,0.4714194,0.4611943,0.457999,0.4545196,0.4736207,0.486402,0.4879642,0.4893134,0.4930058,0.4898814,0.4724846,0.4722005,0.4564368,0.4602712,0.4731946,0.4602002,0.457502,0.4643187,0.4721295,0.4420933,0.4379749,0.4192999,0.4292409,0.4265426,0.4172406,0.430093,0.4265426,0.4356316,0.4142583,0.4214301,0.4239864,0.4329333,0.4259746,0.430306,0.4415252,0.448626,0.4481289,0.4403181,0.448839,0.4468508,0.4468508,0.4511823,0.4455727,0.439679,0.411347,0.3842931,0.3788255,0.3884116,0.3720088,0.3754882,0.3764823,0.3709437,0.3694525,0.3919619,0.3933111,0.3886246,0.3819499,0.3837961,0.3840091,0.3754172,0.3743521,0.3847902,0.3862813,0.3873464,0.3901867,0.3932401,0.3893347,0.3992757,0.40169,0.4136903,0.4147554,0.4117731,0.4081517,0.4129802,0.4084357,0.4292409,0.4261166,0.4282468,0.429454,0.4229213,0.4278918,0.4322232,0.4253355,0.4303771,0.4347795,0.4453597,0.439395,0.4447916,0.4425904,0.4477029,0.4411702,0.43904,0.4283888,0.420791,0.4219982,0.4219982,0.4257616,0.3970035,0.3945892,0.3911809,0.3904708,0.383512,0.3852162,0.3786125,0.3877015,0.3919619,0.4027551,0.4079386,0.3951573,0.4037492,0.4036072,0.3836541,0.3858553,0.3783285,0.3589434,0.3488603,0.3387062,0.3353689,0.3397003,0.3568842,0.3465881,0.3451679,0.3517006,0.3701626,0.3656891,0.3570262,0.3512036,0.3494994,0.3442448,0.3482213,0.3587304,0.3561031,0.3686714,0.3744231,0.3686714,0.3654051,0.3670383,0.3689555,0.3776894,0.3819499,0.3863523,0.3935951,0.3894057,0.3889086,0.3784705,0.3791096,0.3948733,0.3900447,0.3943052,0.3838671,0.3986367,0.4085777,0.3987077,0.4028971,0.4036072,0.4046013,0.4079386,0.4051694,0.4103529,0.411489,0.4144003,0.4076546,0.4093588,0.4176667,0.4239154,0.4218561,0.4168856,0.4175957,0.4180927,0.4254065,0.4418093,0.4431584,0.4419513,0.4377618,0.4276078,0.4213591,0.4160335,0.4167436,0.4147554,0.4124831,0.4152524,0.4136903,0.4094298,0.4146134,0.4142583,0.4156785,0.4285309,0.4270397,0.4527444,0.4538096,0.4594902,0.4652418,0.4714904,0.4792303,0.4819996,0.4926507,0.5011006,0.5089115,0.5025208,0.5025918,0.5066392,0.5093375,0.5094085,0.5011716,0.5023788,0.50458,0.5083434,0.50458,0.4971242,0.4991834,0.4975502,0.4946389,0.4737627,0.4850529,0.4929347,0.4927217,0.486402,0.4848399,0.4844848,0.4780942,0.4835617,0.4817866,0.4868991,0.4889583,0.486331,0.4898104,0.4922247,0.4916566,0.4868281,0.4897394,0.4846269,0.476177,0.4696443,0.4796563,0.4597032,0.4751118,0.4619044,0.4697863,0.4745438,0.4692182,0.4621174,0.4539516,0.4568629,0.4561528,0.4631116,0.4626855,0.4729106,0.4749698,0.4739047,0.4688632,0.4783072,0.4814315,0.4817866,0.4802244,0.4902365,0.4919406,0.4964141,0.504225,0.5032308,0.4986154,0.5002485,0.5004615,0.4917986,0.4870411,0.485905,0.4919406,0.4932898,0.4976212,0.4964141,0.4942839,0.4880352,0.4923667,0.4974792,0.4832777,0.4793723,0.4721295,0.4773131,0.4771711,0.4834907,0.486331,0.4817155,0.4838458,0.4730526,0.4694312,0.4724846,0.4742597,0.4702833,0.4711354,0.4799404,0.4879642,0.4821416,0.4894554,0.4869701,0.4905205,0.4935028,0.4971952,0.504651,0.5055741,0.5080594,0.5057871,0.4931478,0.4917276,0.4901654,0.4810765,0.477029,0.4885323,0.4894554,0.4930058,0.5002485,0.4962721,0.4915146,0.4817866,0.486402,0.4940709,0.49542,0.5034439,0.5068522,0.5027338,0.5064972,0.5207697,0.514166,0.5132429,0.5191365,0.5187105,0.5249592,0.523184,0.5240361,0.5333381,0.5353973,0.5358943,0.5204857,0.5155862,0.5128169,0.5221899,0.5412909,0.5451963,0.550948,0.5436342,0.5456224,0.541788,0.542072,0.533054,0.5344032,0.5393027,0.5411489,0.542427,0.5298587,0.5338351,0.5388057,0.5479656,0.5466165,0.5394447,0.5407229,0.5434211,0.5459064,0.5444153,0.5483917,0.5489597,0.5554214,0.5535042,0.5593268,0.5576227,0.551232,0.5525811,0.5570546,0.5375275,0.5321309,0.5268764,0.523397,0.5229,0.5362494,0.5307818,0.5342612,0.522971,0.5275865,0.5331961,0.5356813,0.5224739,0.5337641,0.5345452,0.5281545,0.5177164,0.523042,0.532273,0.5301427,0.5277285,0.5096925,0.5041539,0.5119648,0.5158702,0.5123908,0.514095,0.5248172,0.5121778,0.5180714,0.5199886,0.5152311,0.5163673,0.5209827,0.5185685,0.5198466,0.523539,0.5258823,0.5349002,0.5375275,0.5376695,0.5478946,0.5499538,0.5567706,0.5602499,0.5575517,0.5579067,0.5551374,0.5548534,0.5577647,0.5773628,0.5768657,0.5727473,0.5803451,0.598381,0.6196123,0.6235887,0.6305475,0.6271391,0.6456011,0.6414116,0.6436839,0.645104,0.6370802,0.644394,0.6411276,0.6405595,0.6460981,0.6463822,0.6474473,0.644536,0.6418377,0.6493645,0.6426188,0.6536249,0.644891,0.6561102,0.6553291,0.6597316,0.6511397,0.65398,0.6721579,0.6779805,0.6785486,0.6733651,0.6785486,0.681957,0.6803238,0.6816019,0.6860044,0.6764184,0.6845132,0.6786906,0.6774835,0.6872115,0.6838032,0.6926791,0.6958035,0.6959455,0.6772705,0.6862884,0.6928211,0.6941703,0.7532486,0.7716396,0.7820067,0.7930839,0.7855571,0.7863381,0.7776042,0.7609174,0.7575091,0.7539587,0.7596393,0.7589292,0.7520415,0.7521125,0.7536746,0.7698644,0.756728,0.7498402,0.7430945,0.7401832,0.7419584,0.747639,0.738763,0.7428105,0.7436626,0.757367,0.757083,0.7502663,0.7451537,0.7356387,0.7354257,0.7114251,0.7142654,0.7261947,0.7189519,0.7163246,0.7145495,0.6976496,0.6970816,0.6946673,0.6942413,0.6960165,0.691543,0.6977917,0.7109991,0.7215792,0.7151175,0.7166797,0.7111411,0.6983597,0.7019101,0.7053895,0.6959455,0.7068096,0.7108571,0.7094369,0.7038273,0.7096499,0.71036,0.7063836,0.7074487,0.7072357,0.7132713,0.7167507,0.7120642,0.7146205,0.7038273,0.7258397,0.7134843,0.6955904,0.7043954,0.7210822,0.7214372,0.7233544,0.7298871,0.7261237,0.720017,0.7225733,0.7227153,0.7435916,0.7496272,0.7404672,0.7412483,0.7466449,0.7496272,0.7461478,0.7533906,0.7559469,0.7460058,0.7503373,0.7523255,0.7364908,0.7401832,0.747497,0.7373429,0.7413193,0.7402542,0.7578641,0.7629766,0.7705034,0.7746219,0.7916637,0.7712135,0.7594263,0.7565149,0.7582191,0.7616985,0.7401122,0.7294611,0.7352127,0.7341476,0.7398282,0.71952,0.6880636,0.6760633,0.6738621,0.6747852,0.6528439,0.6589505,0.6659093,0.6585955,0.6741461,0.6689626,0.6854363,0.6835901,0.6938862,0.6887737,0.6988568,0.6944543,0.7069516,0.7015551,0.7043244,0.7097919,0.7132713,0.7136974,0.7034013,0.700632,0.7036143,0.7002769,0.7190939,0.7139814,0.719449,0.7265497,0.7364908,0.7418874,0.7406092,0.7555208,0.7713555,0.7683732,0.7695093,0.7903146,0.7866222,0.8005397,0.803593,0.7845629,0.7749769,0.7761841,0.7751899,0.7872612,0.785344,0.7861251,0.7954981,0.7911667,0.7971313,0.7990485,0.7896755,0.8008947,0.8054392,0.8077114,0.8025989,0.8157353,0.7956401,0.7922318,0.794007,0.8029539,0.8044451,0.8009657,0.7913797,0.7978414,0.7932259,0.8016048,0.8403039,0.8441383,0.859902,0.868707,0.8623873,0.8682099,0.859547,0.8606121,0.8645885,0.8669318,0.8714762,0.8802102,0.8763048,0.8894412,0.8925655,0.8947667,0.8964709,0.8982461,0.9087552,0.9138678,0.9297025,0.9246609,0.9042108,0.896755,0.9127317,0.9076901,0.9025776,0.9055599,0.9047078,0.8850387,0.887808,0.8937726,0.8996663,0.8993112,0.9002343,0.897181,0.8946957,0.8870269,0.8794291,0.8715473,0.8704111,0.8714052,0.8650856,0.8699851,0.8747426,0.8769438,0.8770858,0.8946247,0.9005184,0.9219627,0.9265071,0.9421998,0.9307676,0.9312646,0.9484485,0.9524959,0.9613719,0.9566144,0.953135,0.9508627,0.9505787,0.9688277,0.9696798,0.9657743,0.9545551,0.9677626,0.9579635,0.9485195,0.925655,0.9198324,0.9132997,0.8822694,0.8798551,0.8831925,0.8897962,0.8997373,0.9006604,0.9010154,0.8931336,0.8960449,0.8560676,0.8557126,0.8404459,0.8160903,0.8080665,0.7909536,0.8063623,0.8123979,0.7965632,0.8013207,0.8001136,0.7787403,0.7873322,0.7913087,0.7894625,0.794646,0.7773912,0.7781723,0.7773912,0.7907406,0.7494852,0.7178158,0.6909039,0.681815,0.7428105,0.7315203,0.738195,0.7359227,0.738479,0.7153305,0.7211532,0.7119222,0.7302421,0.738763,0.7487041,0.7542427,0.7598523,0.7593553,0.766101,0.7875453,0.8057232,0.8096996,0.8058652,0.8190016,0.8334872,0.8246112,0.8580558,0.878719,0.8828375,0.8710502,0.8700561,0.8586949,0.8560676,0.8352624,0.8361145,0.8338422,0.8472627,0.832067,0.8332742,0.822552,0.8182916,0.8258184,0.822268,0.8202798,0.8280196,0.8171554,0.8344103,0.8284456,0.813108,0.7934389,0.8080665,0.7915217,0.7962082,0.7866932,0.8019598,0.8170134,0.8075694,0.8146702,0.8234041,0.8190016,0.8330611,0.8375346,0.8496769,0.8421501,0.8510971,0.8592629,0.8655116,0.8562096,0.8532983,0.8362565,0.8357594,0.8258894,0.831357,0.8280906,0.8453455,0.8400909,0.8311439,0.8399489,0.8346233,0.8306469,0.8402329,0.8248243,0.8142441,0.8190726,0.8186466,0.8270255,0.878861,0.8479017,0.8336292,0.8574167,0.8635234,0.8534403,0.859689,0.8622453,0.8667897,0.8593339,0.8522332,0.8714052,0.8590499,0.8579138,0.869275,0.8723283,0.8708372,0.8522332,0.8619612,0.8669318,0.8749556,0.887453,0.878222,0.8682099,0.8763758,0.8593339,0.8485408,0.8564936,0.840943,0.8387417,0.850458,0.8398069,0.8434993,0.8402329,0.8363985,0.8750266,0.8717603,0.8610381,0.8618192,0.8745296,0.8799262,0.8826244,0.8748136,0.8808493,0.868778,0.859973,0.8701981,0.8682099,0.8545054,0.8427182,0.8578428,0.8543634,0.8672158,0.887808,0.8703401,0.8832635,0.8910033,0.8819144,0.8763758,0.8752397,0.8624583,0.868778,0.8676418,0.8937726,0.8937726,0.9243769,0.9361642,0.9328978,0.9406376,0.9214656,0.91543,0.9027906,0.8962579,0.8932046,0.8851807,0.9270752,0.9311226,0.9561883,0.9632181,0.9527799,0.9429809,0.9598807,0.9768515,0.9579635,0.9484485,0.9465313,0.9351701,0.9493716,0.9676205,0.9846624,0.9974437,0.9970177,1.004615,0.9973727,1.014344,1.018391,1.015835,1.01832,1.01832,1.006462,1.005752,1]}