{"fuel":"gas","heat":"gas_80","names":["TOSOT Charmo 12k BTU Wall Mount","TOSOT Charmo 18k BTU Wall Mount","Senville SENA Series 24k BTU Wall Mount","ACiQ 18k BTU Wall Mount","Daikin 12k BTU Wall Mount","Fujitsu AirStage H-Series 46k BTU Ceiling Cassette","Senville SENA Series 33k BTU Wall Mount"],"price":[1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.25,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.69,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.86,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,2.12,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.54,1.54,1.54,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,2.46,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,1.97,5.05,5.05,5.05,5.05,5.05,5.05,5.05,5.05,5.05,5.05,5.05,5.05,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,1.02,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,0.74,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.08,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.11,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.43,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,1.68,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,2.42,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.56,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.83,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.05,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.06,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.44,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,0.87,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,1.58,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,0.92,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.1,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.79,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,1.37,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.27,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.34,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.39,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.61,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,1.45,2.09,2.09,2.09,2.09,2.09,2.09,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,1.63,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,0.95,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.14,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,1.87,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,0.98,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.62,1.74,1.74,1.74,1.74,1.74,1.74,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.7,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.04,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.33,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13,1.13],"base":[5062,5081,4795,5006,5082,4841,4048,4244,4090,4275,4092,4049,4177,3683,3858,3942,4038,4047,4024,3762,4045,3897,4010,3881,3803,3584,4028,3644,4399,3968,3828,3720,3110,3670,3645,3452,3600,3527,3792,3026,3537,3055,3164,2941,3012,2930,2952,2836,3991,3610,2979,3230,3092,3335,3146,3285,2689,3512,3242,2741,2496,2424,3139,2749,3232,2481,3205,3208,3230,3409,3337,2586,2429,2394,2425,2949,2970,2236,1959,2240,2240,2888,2075,1672,2620,2448,2666,1851,2305,2378,1135,1098,998,1438,1077,1108,1117,1073,1286,1228,1180,1095,1107,1193,1022,1067,903,844,937,963,982,972,906,847,952,761,890,828,875,790,862,857,820,806,817,743,621,713,732,671,783,626,590,649,675,537,1329,1290,1088,1274,1295,1233,1291,1214,1363,1287,1421,1263,1451,1210,1435,1049,975,1217,1154,1057,1038,1065,1157,943,960,1130,1113,925,1015,999,1203,2389,1771,2201,1925,932,260,2314,1552,869,1362,1581,1658,1107,322,315,307,284,211,402,280,394,360,705,314,219,398,426,476,433,759,1034,618,736,3127,2052,2478,2976,2506,2173,2208,2212,2139,1303,2266,1199,1190,1152,1129,3413,2033,1240,1130,1522,1278,1426,3350,1164,1240,1149,1260,1306,1250,1665,1221,1317,1963,1507,1398,1217,1234,2188,1266,1368,1173,3331,1090,1219,1118,1558,1217,1104,1871,1072,1056,1192,1348,1262,1420,939,958,1260,369,1347,1218,1082,1160,1117,1157,1543,919,906,1162,1842,1226,1253,839,389,1557,1286,1263,1337,1230,1383,1187,896,944,693,2953,463,601,768,736,598,830,638,719,475,559,550,759,619,475,434,870,823,519,262,504,558,576,440,431,700,806,963,998,807,543,1231,756,372,402,700,559,456,474,682,639,2003,1765,1670,1558,1121,1209,1221,1265,1845,1519,2119,980,1172,952,1104,2950,1275,953,1060,1552,1091,1349,2269,1426,1229,1702,2186,1423,1029,2031,1251,1274,1163,1092,1637,1508,1093,1595,1949,1344,1202,2514,1095,1559,1121,1750,1099,2435,1692,1347,1004,1617,1070,1292,1378,2209,2275,2108,2161,2274,1975,2114,2123,1965,1956,1629,1509,1510,1050,994,1098,1039,990,895,831,781,758,775,699,965,675,832,860,738,870,612,928,661,615,740,798,764,670,523,502,701,568,437,761,506,742,458,399,423,406,342,672,409,411,239,621,349,393,414,470,434,333,448,336,381,208,345,375,302,435,208,465,392,263,265,149,214,128,150,144,328,120,137,71,69,60,1333,1265,1121,1401,1232,1225,1240,1226,1182,1329,1156,1162,1172,1224,1124,1181,1150,1225,998,1150,956,1111,1258,1040,997,1088,1020,960,1118,926,1013,1054,1132,1037,849,843,990,755,829,830,1040,857,809,842,988,945,816,795,864,623,777,744,825,683,858,12,11,50,1,2,21,27,26,0,14,128,7606,1589,1573,1612,1566,1557,1489,1511,1450,1472,1456,1564,1451,1379,1381,1470,1553,1428,1356,1416,1344,1394,1363,1356,1372,1416,1345,1433,1340,1281,1371,1284,1364,1288,1222,1380,1262,1245,1210,1354,1150,1217,1248,1237,1207,1169,1171,1163,1178,1060,1086,963,1522,757,967,1072,1118,1280,1097,1568,854,1054,1250,805,783,747,1046,1042,1056,911,816,944,861,858,814,841,1509,1468,1400,1347,1431,1506,1301,1464,1395,1342,1292,1341,1318,1329,1356,1357,1266,1282,1277,1313,1273,1188,1178,1202,1189,1236,1176,1163,1113,1141,1036,1109,1041,1108,964,997,989,970,1015,966,954,942,837,1479,1460,1474,1345,1462,1498,1505,1499,1448,1478,1467,1358,1426,1435,1339,1447,1318,1279,1329,1360,1243,1202,1272,1186,1270,1169,1110,1150,1104,1035,1505,1539,1408,1545,1536,1392,1310,1365,1290,1425,1365,1402,1458,1281,1442,1332,1308,1340,1293,1262,1250,1376,1325,1198,1215,1193,1177,1065,1150,1166,1030,1084,1116,1098,1253,1176,1412,1279,1174,1321,1372,1318,1232,1268,1178,1269,1242,1350,1174,1139,1267,1115,1208,1186,1053,1238,1281,1031,1047,1347,894,748,650,640,694,788,668,629,771,712,784,683,645,539,637,593,618,644,617,566,611,609,501,513,509,499,502,506,539,398,538,419,522,518,469,464,3427,3655,3453,3802,3615,3483,3939,3055,3616,3408,3446,3494,3131,3009,3316,3417,3101,3290,3144,3234,3043,1658,1605,2174,1737,1564,1586,1654,1500,1540,1467,1522,1572,1530,1443,1486,1420,1336,3910,3839,3718,3713,3614,3327,3685,3305,3175,2995,3087,2985,3005,2943,3154,2823,2876,2944,1914,1963,1983,2031,1918,2020,2008,1971,1997,2006,1918,1850,1876,1899,1882,1799,1841,1759,1819,1701,1826,1860,1674,1882,1664,1934,1636,1769,1786,1805,1674,1623,1596,1715,1694,1629,1545,1592,1669,1552,1580,1630,1485,1583,1521,1547,1536,1580,1493,1510,1470,1532,1514,1439,1536,1472,1421,1403,1351,1482,1513,1510,1471,1406,1454,1423,1461,1430,1492,1459,1539,1456,1428,1446,2276,2241,2182,2244,2312,2238,2093,2140,2008,2432,2220,2251,2258,2154,2156,2228,2165,2287,2172,2065,1958,2113,2016,2049,2011,2124,2098,2038,2123,1881,1974,1951,1922,1882,1953,1989,1880,1910,1925,1920,1889,1822,1932,1809,1892,1845,1793,1814,1825,1869,1816,1768,1714,1782,1803,1611,1767,1777,1681,1732,1755,1699,1602,1583,1750,1583,1648,1724,1695,1605,1689,1676,1638,1651,1647,1613,1674,1624,1689,1575,1689,1697,1566,1642,1551,1574,1685,1648,1627,1624,1596,1656,1613,1629,1519,1517,1438,1440,1364,1261,1433,1346,1344,1385,1366,1363,1274,1278,1368,1308,1322,1274,1321,1159,1389,1196,1344,1192,1170,1228,1088,1129,1211,1162,1018,1042,1060,1048,992,981,989,962,900,766,795,871,950,865,821,893,722,803,700,852,711,696,569,689,640,458,535,550,1537,1435,1566,1607,1441,1551,1184,1263,1403,1390,1296,1426,1243,1284,1420,1494,1090,1328,1233,1298,1518,1368,1671,1170,1424,1406,1330,1362,1142,1418,1666,1231,1285,1044,1299,1092,1256,1220,1077,1132,1188,1262,1248,1223,1176,1318,1332,1298,1101,1310,1092,1189,1574,1299,1156,1361,1251,1452,1256,1105,1166,1082,1079,1204,1125,866,1002,1466,1121,1448,1058,984,1051,1126,1146,1041,1118,1012,1040,996,1030,1069,1134,924,1020,1051,977,927,919,856,1911,1881,1847,1992,1894,2047,1936,1756,1873,1896,1848,1806,1738,1741,1829,1783,1809,1648,1768,1730,1642,1797,1676,1735,1712,1571,1687,1506,1619,1587,1716,1632,1653,1606,1622,1662,1566,1486,1468,1392,1446,1532,1449,1344,1483,1417,1386,1321,1455,1372,1428,1340,1362,1389,1275,1324,1271,1279,1382,1301,1228,1278,1223,1285,1251,1282,1256,1277,1249,1223,1220,1249,1216,1181,1197,1180,1159,3515,3622,5505,3153,2918,2937,2712,2835,2789,2837,2543,2645,2967,2922,2652,1876,1850,1616,1541,1740,1454,1722,1480,1609,1516,1840,1518,1544,961,1119,794,1624,898,1461,1023,954,1140,756,1058,858,655,1037,1050,740,736,650,668,598,860,639,504,564,522,553,649,633,391,602,529,487,408,1527,1690,1328,1456,1417,1506,1718,1737,1176,1281,1742,1317,1407,1288,645,647,681,400,402,373,483,405,3044,2886,3466,2805,2854,2673,2932,2736,2496,2501,2536,2475,2659,2654,2487,2506,2413,2483,2668,2778,2955,2703,2615,2643,2771,2455,2649,2314,2378,2242,2000,2110,2228,2116,1988,1798,1841,2005,1918,1873,1760,1738,1694,1631,1683,1713,1773,1840,1869,1774,1723,1772,1823,1782,1728,1728,1768,1756,1681,1647,1668,1604,1693,1529,1608,1568,1601,1474,1520,1664,1538,1530,1578,1532,1486,1443,1380,1022,1040,1009,1126,995,1156,1043,1058,943,1018,972,856,970,1026,939,877,824,972,747,883,867,825,922,853,1000,918,975,811,938,794,876,928,798,855,825,844,782,885,784,752,837,876,850,775,874,834,741,732,715,709,1680,1683,1628,1776,1428,1476,1749,1664,1975,1549,1637,1567,2421,1812,1694,1740,1734,2007,2127,1719,1905,2458,2354,1809,1466,1945,2008,1549,2324,2275,1489,1987,2387,2074,2106,1990,1933,2144,2324,2184,1961,1908,1933,1664,1833,1956,1737,1767,1824,1685,1635,1750,1671,2036,1947,1741,1894,1684,1688,1813,1765,1866,1559,1706,1670,1772,1427,1802,2988,2682,2910,2947,2753,2703,1185,1132,1108,984,1192,1165,1018,1071,1108,1019,1164,1096,1005,1068,959,1084,1035,1017,1071,996,1062,1039,946,897,876,921,1081,918,1076,829,976,1004,957,999,946,897,886,808,850,912,777,727,728,652,1669,1595,1438,1575,1507,1616,1454,1591,1241,1386,1442,1577,1199,1338,1248,1339,1516,1364,1373,1449,1447,1399,1254,1269,844,1058,892,1139,837,763,973,865,1052,832,954,795,817,773,795,858,732,789,658,726,687,1620,1331,1473,1191,1251,1345,1322,1063,760,1362,982,1412,880,1077,939,872,760,815,890,832,906,858,908,891,871,745,655,764,699,670,733,865,713,821,767,783,888,670,934,722,1027,712,800,867,787,786,805,786,760,703,770,953,807,910,790,703,960,854,627,836,846,657,767,835,693,907,668,641,801,766,637,830,709,681,699,730,866,827,667,771,593,721,598,645,701,597,626,824,536,661,828,522,609,613,542,822,640,605,798,642,1208,592,517,748,560,582,565,606,570,541,590,453,705,490,549,509,477,381,542,383,427,406,465,461,446,420,387,441,464,482,580,620,444,347,415,466,477,462,381,357,171,374,433,291,329,218,313,284,237,287,338,347,314,260,254,263,176,192,1290,1181,1081,976,944,1031,889,1401,1180,998,1133,1076,925,1154,936,990,1021,1632,521,898,1846,1639,1651,1613,1461,1671,1548,1730,1648,1598,1500,1564,1659,1784,1692,1507,1565,1496,2080,1475,1524,1449,1578,1466,1368,1418,1321,1517,1423,1325,1656,1407,1708,1181,1331,1394,1194,1865,1697,1368,1196,1188,1858,1226,1358,1643,1277,1400,1300,1460,1591,1250,1361,1644,1554,1381,3180,3239,2764,3095,2872,2849,1915,1694,2134,1966,1890,2046,2046,2084,1944,2155,2476,1879,2121,2198,2164,1589,2070,1623,1972,1702,2547,1970,1930,3209,1738,2054,1981,1811,1831,1799,2304,1973,1834,2231,1864,2007,1747,1722,1700,1582,1661,2020,2019,1988,2020,1928,1834,1952,1965,1661,1819,1876,1786,1687,1921,1718,1736,1875,1829,1575,1844,1698,1699,1780,1610,1778,1796,1608,1649,1684,1762,1593,1515,1615,1670,1619,1777,1614,1676,1620,1519,1658,1628,1592,1649,1507,1549,1509,1521,1480,1612,1492,1436,1458,1339,1530,1487,1424,1459,1607,1469,1487,1468,1445,1487,1918,1554,1590,1480,1316,1208,1627,1452,1393,1485,1630,1582,2627,1635,1800,1448,1521,1553,1605,1588,2178,2124,1954,1801,1520,1448,1497,2158,1424,2075,1311,1890,1603,1697,1522,1730,1744,1386,1735],"max":[15,14,21,20,20,27,32,34,32,30,31,44,31,35,34,26,27,29,28,39,28,35,30,33,36,52,35,44,32,33,37,37,36,32,40,40,51,35,36,43,38,38,39,38,36,36,40,46,43,40,48,40,44,46,41,46,52,48,48,55,61,64,47,52,42,55,46,43,45,51,60,64,60,54,64,66,62,69,82,74,66,66,74,66,65,66,66,78,78,77,595,581,539,734,579,587,597,573,661,640,627,584,584,633,560,580,497,478,520,526,549,540,504,475,520,434,494,465,489,445,478,478,459,454,453,420,356,405,415,385,440,358,339,371,389,312,798,767,698,759,773,746,770,735,819,773,748,771,863,742,862,658,633,744,716,664,648,672,725,607,610,709,700,594,645,639,763,1295,1073,1177,1129,603,168,1316,909,566,847,922,987,717,209,205,200,185,136,263,182,258,235,457,204,141,260,279,311,284,495,660,404,481,942,867,775,845,880,810,930,933,799,548,961,485,494,478,472,867,755,509,473,615,521,582,883,483,516,481,526,542,521,688,503,545,812,628,588,505,514,781,519,563,481,742,454,498,459,642,502,455,598,442,436,498,555,528,581,398,405,520,152,552,505,458,487,470,449,622,389,369,479,706,478,518,349,160,627,488,521,552,488,573,473,368,387,291,830,181,244,313,292,242,338,259,299,188,226,215,314,253,188,169,362,341,208,104,198,221,234,171,179,282,326,394,396,335,212,501,311,153,167,288,222,179,184,277,258,327,298,282,298,248,244,288,267,297,294,357,242,238,240,245,300,294,192,248,282,252,270,324,234,236,290,319,299,253,374,262,277,259,256,366,310,248,313,278,308,257,314,217,310,209,355,202,350,266,262,214,298,231,319,275,384,392,390,395,401,403,406,442,429,416,563,542,536,758,720,786,751,712,651,607,568,554,565,516,697,497,605,627,544,633,452,669,488,453,541,584,557,489,384,368,508,416,321,552,374,539,337,294,312,300,254,487,302,303,178,453,256,291,305,346,323,248,329,251,283,155,254,275,225,320,154,339,290,196,197,111,159,95,112,107,242,90,102,53,51,45,798,784,702,845,764,757,754,762,725,824,714,723,723,747,694,734,717,756,624,713,607,692,773,648,630,678,607,606,690,586,629,652,706,642,541,538,622,483,528,532,578,540,517,536,626,590,521,507,545,406,494,475,530,442,541,7,7,30,1,1,12,16,16,0,8,77,4704,175,172,185,170,167,171,164,173,166,172,184,162,159,149,165,176,169,167,163,166,173,166,175,163,170,166,178,168,165,173,162,170,166,163,175,167,164,165,176,164,173,167,172,162,161,163,162,165,176,181,172,142,169,193,186,152,151,152,138,146,150,153,154,146,147,149,159,144,155,144,149,154,155,158,149,163,149,154,149,152,154,147,147,146,148,149,145,149,149,148,149,144,146,144,140,139,141,138,141,142,144,136,138,135,136,134,130,130,137,127,130,127,130,129,130,129,129,124,240,242,275,243,244,254,243,246,243,240,245,233,236,240,233,241,226,230,235,233,218,212,223,218,224,216,205,218,219,205,562,649,570,651,658,548,527,544,528,548,547,580,608,521,592,528,540,561,538,533,518,587,572,509,524,502,502,466,488,482,472,464,479,472,546,546,557,539,498,548,586,543,518,538,503,550,525,582,514,492,548,486,534,520,484,558,553,463,464,584,561,482,423,414,449,503,430,405,490,460,502,445,420,353,414,386,399,415,400,368,397,393,331,338,335,327,332,334,352,267,354,278,342,341,309,304,1004,1030,1039,999,986,998,1006,1007,985,966,1007,976,1010,1103,1010,1008,1122,1023,1055,1074,1128,479,463,473,488,480,473,481,478,458,458,466,471,464,448,466,457,469,268,277,274,282,287,259,270,298,298,303,355,307,345,302,279,320,313,306,48,51,44,45,48,44,47,46,45,42,47,52,48,44,49,48,48,46,48,46,47,46,50,46,47,47,50,48,48,46,49,46,49,46,46,46,50,44,43,43,45,45,48,46,46,45,45,46,46,45,49,44,48,44,46,46,42,42,50,45,45,44,43,42,45,52,46,44,47,44,46,44,44,44,184,189,176,193,198,195,190,185,186,210,203,200,296,194,212,206,209,209,203,188,182,214,191,197,245,218,245,221,208,198,229,197,198,187,208,216,196,206,203,212,187,194,198,208,195,198,201,198,196,199,197,195,200,210,203,200,197,196,194,205,197,197,196,188,209,193,192,199,205,204,196,198,200,201,205,202,204,196,202,201,206,200,199,201,216,202,198,196,190,204,200,208,224,545,523,527,521,528,492,473,531,490,498,495,488,517,468,474,494,486,499,478,482,455,528,461,494,464,449,474,431,455,473,464,416,442,436,599,556,561,566,556,527,457,459,508,550,506,485,522,428,479,419,494,421,414,348,411,385,284,326,334,181,129,107,102,163,98,148,153,122,115,161,169,156,120,118,152,143,147,160,164,150,707,799,638,726,727,686,708,616,740,837,642,663,579,681,608,662,634,609,607,632,663,654,647,632,678,692,674,598,678,592,623,779,682,620,692,670,731,655,600,626,594,582,644,597,500,550,732,602,725,570,539,574,596,604,567,591,552,569,546,564,573,614,522,570,568,538,516,511,484,257,229,263,238,225,225,227,254,228,241,264,270,266,254,233,234,229,273,252,262,265,238,264,239,248,294,227,280,288,254,259,265,226,262,243,241,281,397,420,403,389,409,369,407,407,366,397,400,366,372,372,349,353,388,337,356,347,412,377,376,333,358,335,350,354,338,333,372,364,339,334,356,371,327,366,342,320,405,405,542,418,434,410,429,399,428,425,428,406,402,411,420,184,180,179,181,178,186,180,177,176,180,202,196,176,144,148,134,182,172,199,164,152,143,122,140,143,135,165,140,132,120,117,120,124,169,110,118,100,105,100,138,110,83,131,116,110,96,688,769,627,695,642,726,744,757,610,629,753,655,697,663,369,371,380,232,233,216,278,234,264,280,280,284,294,304,294,284,291,288,288,287,302,310,282,300,321,297,305,303,324,284,300,286,299,296,282,287,290,286,345,310,322,321,320,301,305,319,317,387,356,365,349,355,350,357,364,369,381,364,352,357,367,354,359,354,358,363,339,343,338,339,357,332,349,328,340,331,334,349,332,336,334,330,332,333,321,442,430,421,492,420,500,456,454,406,421,420,379,416,427,405,391,361,410,333,391,387,376,399,377,432,400,423,360,415,359,388,411,359,383,371,379,371,383,356,346,370,389,377,354,399,379,344,354,339,340,987,908,931,965,837,869,998,966,1052,898,943,903,1164,1075,926,989,990,1065,1072,974,1008,1131,1110,1047,846,1094,971,865,1139,1131,886,351,360,338,340,360,362,350,358,363,340,357,367,327,350,348,369,320,348,342,351,319,362,347,360,327,376,349,346,341,354,372,346,348,317,345,343,362,747,732,758,758,769,834,614,606,590,532,620,618,547,566,583,554,612,591,548,564,527,583,564,540,577,534,574,550,516,482,480,499,580,508,569,462,524,544,526,547,522,490,491,453,468,500,438,410,410,373,196,187,229,202,221,185,217,187,238,202,189,194,223,214,226,208,192,192,206,189,260,186,205,193,334,415,343,458,339,318,379,368,404,338,376,329,346,315,326,348,303,333,277,324,289,892,713,819,677,708,756,739,604,466,753,560,762,511,614,554,500,460,476,515,494,529,519,515,530,518,441,393,459,420,403,438,505,426,493,448,467,536,405,541,433,598,428,472,516,462,469,472,458,458,427,457,557,479,528,478,421,553,506,382,494,503,405,479,498,440,528,405,397,475,461,401,496,422,414,419,435,514,485,406,460,361,433,364,393,424,363,378,486,330,401,489,318,369,373,334,492,385,366,473,392,724,362,318,448,342,354,345,374,354,336,367,284,437,308,336,313,297,240,334,242,267,256,288,286,277,264,249,274,292,302,354,389,277,221,266,291,296,284,239,223,108,234,262,183,207,138,198,178,150,182,213,219,198,165,160,167,112,122,414,391,379,363,360,343,336,401,370,363,387,346,319,350,311,367,342,412,226,320,729,678,669,648,628,660,652,673,651,645,647,655,689,692,685,636,641,614,723,649,645,613,678,624,591,596,582,634,599,608,662,600,674,549,591,604,550,704,657,582,558,556,710,569,587,686,579,604,577,603,633,561,592,646,649,593,574,571,545,559,570,572,1184,1073,1309,1251,1183,1170,1288,1301,1189,1344,1382,1185,1240,1261,1239,1002,1292,1020,1222,1077,1409,1147,1114,1710,1104,1254,1140,1116,1132,1110,1294,1211,1160,1315,1160,1141,1032,1075,1025,986,1014,134,118,126,123,125,123,122,123,127,116,122,120,122,118,119,134,124,122,122,132,117,137,123,127,122,126,122,122,128,123,133,126,126,142,122,130,124,124,126,116,139,131,126,134,145,120,126,124,128,132,128,123,135,142,128,125,121,136,482,468,496,510,462,472,541,496,498,467,437,414,528,463,493,475,505,515,620,496,538,494,506,492,462,490,593,594,647,593,506,488,469,596,494,563,434,602,542,562,557,556,574,487,544],"pro":{"sav":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,311,306,287,381,306,308,314,302,345,336,332,309,310,334,300,309,269,262,280,284,298,293,273,259,280,240,268,254,267,246,259,260,250,249,246,231,199,226,229,214,240,199,189,207,217,154,503,486,459,481,490,477,488,468,517,491,450,491,541,476,542,430,420,474,461,433,421,439,469,401,399,456,451,390,419,417,580,847,774,775,792,392,128,891,638,442,631,648,708,537,152,147,144,134,106,177,135,174,162,298,146,112,179,189,200,191,387,421,257,316,285,509,271,277,318,304,481,490,308,248,477,201,209,201,202,238,302,235,212,268,230,237,263,241,232,224,251,251,244,324,219,253,364,313,318,250,230,308,309,269,295,225,206,344,282,398,280,255,203,247,247,214,286,225,288,182,187,308,50,356,232,205,230,206,158,265,174,157,280,286,174,292,162,52,275,173,326,300,184,294,181,221,237,152,238,93,93,205,229,95,223,171,171,87,92,110,177,166,104,91,187,180,86,46,96,103,86,90,54,207,241,188,321,169,107,217,190,47,48,88,101,84,97,190,178,11,14,14,15,17,16,15,17,12,15,12,18,17,18,17,4,18,12,17,15,18,15,13,16,16,15,10,19,14,16,19,19,19,16,17,17,18,16,14,19,16,10,15,16,13,16,14,10,15,16,14,16,16,17,17,24,27,24,26,27,26,26,25,26,25,236,233,233,562,536,576,556,525,487,457,428,419,425,381,516,380,453,471,417,475,331,496,352,328,409,443,419,370,273,264,380,295,232,411,276,404,249,216,228,226,190,363,226,224,138,342,187,218,226,249,244,188,239,196,212,128,186,199,175,233,118,243,216,152,153,86,128,76,88,85,186,72,81,47,46,40,490,585,444,614,483,475,467,479,452,611,448,456,452,466,436,463,453,474,396,449,390,436,482,410,402,428,382,387,434,374,399,408,443,403,349,347,396,313,340,345,368,344,335,346,400,373,337,327,348,252,318,307,343,291,345,6,6,25,1,1,10,14,13,0,7,65,4704,8,7,7,8,8,7,7,7,7,7,8,8,8,8,8,7,9,7,8,7,7,8,7,8,7,8,8,7,7,7,7,7,8,7,7,8,7,8,8,8,8,7,7,8,7,7,7,8,3,3,3,3,4,4,3,3,3,3,2,3,3,3,3,3,4,3,3,3,3,3,3,3,3,4,3,6,5,5,4,5,6,5,5,5,4,5,4,4,5,5,5,5,4,5,5,5,4,4,4,4,5,5,5,5,4,4,5,5,4,4,4,4,4,5,4,4,4,4,17,18,19,16,18,18,18,18,18,18,18,16,17,17,17,17,16,18,18,17,16,16,17,17,18,17,18,17,17,16,243,283,251,283,289,237,232,236,230,238,241,254,265,232,258,235,237,246,238,235,230,256,251,229,232,224,225,212,221,214,212,208,214,212,240,247,252,245,229,248,263,246,237,246,230,248,242,261,236,225,249,224,244,237,223,257,250,214,216,266,359,316,279,274,295,327,282,267,318,302,327,294,277,235,274,255,262,272,265,245,263,258,223,203,225,194,223,224,235,175,237,174,205,208,188,181,378,380,397,352,360,370,361,406,363,356,391,355,404,465,402,393,473,410,430,450,490,177,166,182,168,172,168,177,172,48,172,170,165,168,164,177,170,181,9,9,9,8,8,10,10,9,9,10,11,10,11,9,8,9,9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,11,9,11,11,11,9,10,8,11,11,11,12,11,11,11,10,12,10,11,9,12,11,11,12,12,12,10,10,11,11,11,10,10,11,10,10,11,11,11,11,9,11,11,11,10,10,11,10,10,10,9,9,9,10,11,10,10,10,11,9,10,11,10,12,11,11,11,11,10,11,10,11,10,10,10,11,11,11,11,11,12,12,10,12,10,12,11,12,11,11,11,10,208,201,201,200,196,192,182,204,191,194,190,190,198,180,186,187,186,190,186,186,175,200,180,190,182,176,180,169,178,183,180,165,170,173,345,320,324,329,324,310,272,268,299,322,298,287,306,256,285,251,289,251,248,212,246,232,160,199,202,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,366,415,338,376,371,354,364,325,383,433,339,345,309,352,330,346,327,330,321,330,345,342,340,335,350,361,351,314,349,312,322,399,355,324,360,352,377,340,317,328,317,307,340,314,278,296,376,320,372,300,287,306,312,316,304,309,293,302,293,301,303,325,285,310,301,287,279,276,266,24,19,24,23,19,20,20,20,19,21,23,23,23,22,19,18,17,21,20,20,20,18,19,19,20,23,17,23,22,19,20,20,18,20,18,19,21,73,80,78,74,79,71,81,79,73,74,81,71,74,71,69,70,74,68,71,70,85,72,72,67,72,70,71,71,68,68,74,73,71,69,73,75,41,74,70,42,22,23,128,25,27,23,24,22,25,24,22,22,26,24,24,4,4,3,3,3,3,4,3,3,3,4,4,4,4,4,4,3,4,3,5,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,319,346,284,317,296,335,335,341,292,294,336,307,326,313,194,194,192,116,123,116,132,123,11,10,11,11,11,12,11,11,12,11,12,12,13,10,11,12,12,12,12,12,13,12,12,13,13,12,13,11,11,10,11,11,11,11,12,10,10,11,11,34,33,31,33,30,31,30,32,34,35,32,32,33,33,33,34,33,33,33,36,32,33,31,32,31,33,31,31,29,30,31,31,31,31,31,34,32,32,188,182,178,206,178,209,192,192,175,175,179,163,178,177,172,168,158,174,146,168,167,163,171,162,181,172,182,154,179,157,169,179,155,165,161,164,160,165,153,152,161,168,162,155,175,164,152,154,150,148,698,579,650,621,605,633,695,699,666,640,668,640,709,775,600,686,690,666,636,672,632,676,672,753,601,736,562,582,659,658,684,23,28,26,26,25,23,28,27,27,26,24,24,24,23,27,23,25,23,23,23,26,24,28,26,26,25,22,22,28,23,23,22,24,27,24,22,24,240,250,263,267,272,300,311,309,304,276,315,313,284,288,297,289,307,302,286,287,275,301,291,277,298,274,294,281,268,249,250,258,295,267,289,245,270,279,275,286,272,255,257,240,245,259,234,219,218,202,11,10,12,10,11,9,12,10,14,10,10,10,14,11,14,12,10,9,10,11,14,10,11,10,118,145,124,161,120,114,131,132,141,119,133,117,125,114,117,124,113,120,102,119,106,606,410,478,402,420,446,431,361,286,441,336,441,308,369,336,304,281,290,308,300,320,317,308,320,315,269,242,281,258,248,268,306,262,299,272,284,327,250,330,267,362,262,288,310,284,287,288,280,278,262,280,338,294,322,291,257,333,312,235,303,310,251,299,307,279,319,248,246,291,283,253,303,256,253,256,266,312,295,247,285,224,267,226,244,258,223,230,294,204,249,295,196,227,209,207,298,235,225,287,221,436,222,178,275,211,218,212,231,220,209,231,160,271,173,208,173,164,143,185,142,150,151,166,166,154,152,152,157,173,176,218,246,160,140,164,161,166,156,137,129,74,139,136,109,124,89,119,109,98,117,127,134,118,102,101,107,77,84,37,35,37,39,40,35,39,37,39,39,38,37,33,38,36,40,39,36,39,39,274,255,259,248,243,246,246,253,243,242,245,250,259,262,253,246,245,238,279,252,243,236,257,234,227,229,224,243,232,237,252,227,256,215,224,232,214,274,249,221,218,218,270,222,222,262,223,229,222,225,242,215,223,242,245,230,173,170,167,173,54,51,889,843,958,975,903,784,995,991,886,1015,966,912,856,853,834,774,976,784,917,833,972,782,756,1148,859,922,773,834,849,831,854,898,904,918,877,765,726,820,738,749,742,2,2,2,2,3,2,2,2,2,3,2,2,2,3,2,3,3,2,2,2,3,3,2,3,3,3,2,2,3,3,2,2,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,137,132,136,144,127,131,154,139,137,131,124,118,148,135,138,142,117,119,119,112,220,225,213,116,106,107,129,130,248,233,221,211,115,116,216,122,107,124,218,225,231,232,220,218,124],"pb":[-1,-1,-1,33557094879723520,33557094879723520,16778547439861760,22371396586482350,-1,67114189759447040,8389273719930880,-1,-1,-1,67114189759447040,-1,-1,-1,-1,13422837951889408,-1,-1,33557094879723520,8389273719930880,33557094879723520,33557094879723520,-1,-1,11185698293241176,-1,-1,13422837951889408,22371396586482350,-1,-1,-1,-1,67114189759447040,-1,-1,11185698293241176,-1,22371396586482350,16778547439861760,-1,-1,33557094879723520,22371396586482350,33557094879723520,67114189759447040,16778547439861760,-1,-1,13422837951889408,33557094879723520,-1,-1,-1,22371396586482350,33557094879723520,22371396586482350,33557094879723520,-1,67114189759447040,-1,-1,22371396586482350,-1,33557094879723520,-1,9587741394206720,-1,67114189759447040,-1,67114189759447040,-1,-1,-1,-1,67114189759447040,-1,-1,-1,22371396586482350,-1,33557094879723520,67114189759447040,-1,33557094879723520,-1,-1,106,108,115,87,108,107,105,109,96,98,99,107,106,99,110,107,123,126,118,116,111,113,121,127,118,138,123,130,124,134,127,127,132,132,134,143,166,146,144,154,137,166,175,160,152,198,66,68,72,69,67,69,68,70,64,67,73,67,61,69,61,77,78,70,72,76,78,75,70,82,83,72,73,84,79,79,72,50,54,54,53,84,238,47,66,88,67,65,59,73,201,207,212,227,288,172,227,176,188,111,209,274,171,162,153,160,101,78,119,104,147,77,155,152,132,138,81,80,136,157,82,194,187,194,193,176,139,166,184,145,170,164,160,162,168,174,155,156,160,120,178,154,107,124,123,156,169,136,122,145,128,187,189,110,134,95,139,148,207,153,158,182,136,173,135,214,209,123,604,106,181,190,183,189,248,147,225,249,135,147,224,129,241,582,153,226,116,130,212,132,215,171,159,256,176,329,327,184,165,322,170,222,228,351,333,278,214,227,293,334,208,217,354,657,319,296,354,340,565,182,157,208,118,224,286,180,200,646,630,348,302,364,316,199,213,2785,2233,2244,2009,1775,1964,2062,1794,2473,1996,2578,1696,1811,1748,1770,7117,1661,2456,1772,2000,1716,1992,2363,1860,1950,2034,3070,1639,2154,1951,1570,1610,1639,1890,1799,1794,1717,1873,2223,1641,1907,3166,2020,1944,2335,1946,2216,3061,1976,1849,2136,1969,1873,1813,1830,1272,1118,1256,1178,1133,1193,1198,1207,1182,1241,178,180,181,59,62,57,59,63,68,72,77,79,78,80,64,87,73,70,79,69,92,66,87,93,81,74,79,89,112,115,87,104,132,80,111,82,123,141,134,135,160,91,135,136,221,96,163,140,135,123,125,162,128,156,144,238,164,153,174,131,259,126,141,200,199,353,238,404,347,361,164,427,377,649,664,756,67,72,74,68,68,69,71,69,73,69,74,72,73,71,76,71,73,70,83,74,85,76,68,80,82,77,86,85,76,88,83,81,74,82,94,95,83,105,97,96,90,96,98,96,83,88,98,101,95,121,104,108,96,113,96,5246,5480,1204,53776,26583,2959,2219,2323,2191232,4447,466,25,3741,4223,4231,3978,4069,4341,4106,4167,4582,4357,4020,4038,4053,3895,3828,4124,3476,4268,3965,4334,4336,4022,4266,3835,4108,4016,3577,4595,4200,4139,4365,4153,3672,4102,4142,3805,4586,4079,4040,4088,3857,4230,4238,4055,4489,4098,4138,3709,9704,11673,8852,11853,7897,8837,10616,9751,11509,9259,14556,9839,9422,10016,9071,9472,8667,9604,10105,9368,9573,9506,9174,10971,9507,8392,9112,5444,6322,6417,6714,5929,5566,6587,6314,6442,6860,6669,7141,7120,6259,6396,6264,6609,6803,6503,6566,6426,6880,6875,6734,7207,6216,6407,6521,6352,6830,7615,6132,6473,6866,7124,7128,7788,7799,6533,7080,7355,7158,7034,1781,1743,1608,1882,1710,1730,1662,1657,1730,1683,1712,1874,1763,1760,1794,1791,1880,1720,1698,1753,1879,1884,1809,1776,1741,1751,1691,1759,1787,1930,136,117,132,116,114,139,143,140,143,139,137,130,124,142,128,140,139,134,138,140,144,129,131,144,142,147,146,156,150,154,156,158,154,156,138,134,131,135,144,133,125,134,139,134,144,133,136,126,140,147,132,147,136,139,148,128,132,154,153,124,92,104,118,120,112,101,117,124,104,109,101,112,119,140,121,130,126,121,124,135,126,128,148,150,146,157,148,147,140,174,139,175,149,147,162,168,111,110,106,119,117,114,116,103,116,118,107,118,104,90,104,107,89,102,98,93,86,238,252,231,250,245,249,237,244,640,245,248,254,250,257,238,246,232,3286,3463,3341,3709,3640,3095,3018,3523,3306,3078,2815,3204,2850,3338,3590,3388,3281,3628,-1,-1,-1,19175482788413440,33557094879723520,16778547439861760,134228379518894080,67114189759447040,-1,134228379518894080,-1,-1,-1,33557094879723520,-1,134228379518894080,-1,-1,33557094879723520,-1,-1,-1,-1,33557094879723520,-1,33557094879723520,-1,67114189759447040,-1,22371396586482350,-1,-1,22371396586482350,-1,26845675903778816,44742793172964700,-1,33557094879723520,134228379518894080,33557094879723520,26845675903778816,-1,-1,33557094879723520,44742793172964700,-1,-1,33557094879723520,134228379518894080,-1,44742793172964700,33557094879723520,33557094879723520,-1,26845675903778816,-1,-1,-1,-1,-1,-1,67114189759447040,134228379518894080,-1,-1,-1,134228379518894080,-1,-1,67114189759447040,67114189759447040,134228379518894080,33557094879723520,-1,2690,2815,3402,2749,2883,2852,3399,3040,3672,2755,2868,2803,2448,2784,2702,2805,2942,2462,2900,2844,3533,2461,2765,2860,2464,2664,2562,3030,2954,2869,2831,2835,2953,3189,2745,2921,3056,2864,2768,2809,2872,3267,2813,2744,2764,3045,2978,2885,2909,2926,3093,3309,3267,3467,3053,2835,2941,3020,2915,2871,3233,3122,2871,2960,2664,2881,2782,2732,2780,3124,2884,2989,2821,3090,2894,2930,2809,2835,2702,2683,2719,2638,2622,2899,2656,3118,2608,2765,2467,2756,2762,2853,3042,159,164,164,165,168,172,182,162,173,171,174,174,167,183,178,176,178,173,178,177,188,165,184,174,182,188,183,195,186,181,184,200,194,191,96,103,102,100,102,106,122,123,110,102,110,115,108,129,116,131,114,131,133,156,134,142,191,166,163,19913,15523,13276,15466,17961,15412,12647,13692,13951,16673,15489,16221,13768,16415,16768,19849,13219,15540,14062,16024,18597,90,80,98,88,89,93,91,102,86,76,97,96,107,94,100,95,101,100,103,100,96,97,97,98,94,92,94,105,95,106,102,83,93,102,92,94,88,97,104,100,104,108,97,105,119,111,88,103,89,110,115,108,106,105,109,107,113,109,113,110,109,102,116,106,110,115,118,119,124,1292,1571,1282,1350,1645,1536,1535,1489,1624,1471,1305,1330,1306,1392,1611,1742,1787,1423,1530,1507,1539,1646,1577,1601,1565,1333,1826,1312,1386,1606,1488,1490,1715,1567,1687,1631,1458,451,414,424,446,416,463,406,418,452,443,406,466,449,466,477,474,443,486,464,474,389,460,458,492,456,472,466,465,484,489,449,454,463,476,453,442,742,448,475,720,1354,1332,327,1218,1130,1316,1301,1361,1228,1244,1374,1356,1189,1261,1291,8351,8433,8972,9241,9915,9043,8813,9462,9085,9052,7820,8360,8003,7846,7070,7048,10370,7475,8884,5605,7055,7332,6923,7077,8340,7457,6338,7161,7604,8370,8083,7911,7657,6937,8590,6278,8839,8560,8739,7703,7965,8102,8188,7244,7719,8411,104,95,116,104,111,98,98,97,113,112,98,107,101,105,170,170,172,262,248,262,231,248,2778,2994,2692,2805,2713,2578,2696,2714,2558,2869,2654,2659,2426,3027,2770,2604,2625,2557,2533,2468,2286,2477,2582,2321,2308,2532,2404,2858,2763,3182,2668,2802,2692,2748,2648,3007,2998,2822,2882,892,921,991,928,1027,995,1006,950,898,879,944,963,923,924,912,905,927,929,924,850,966,928,972,947,997,919,973,973,1041,1000,973,978,990,978,997,891,970,944,176,182,185,160,186,158,172,172,188,189,184,202,186,186,192,196,208,189,226,196,198,202,193,204,182,191,181,214,184,210,195,185,213,200,205,201,207,200,215,217,205,196,204,213,189,202,217,215,219,224,56,72,65,68,69,66,60,60,63,66,63,66,66,50,70,61,61,63,66,62,66,70,70,56,70,57,75,72,64,64,57,1325,1093,1156,1164,1200,1321,1102,1142,1143,1188,1251,1258,1298,1334,1128,1348,1242,1321,1306,1314,1180,1291,1092,1182,1156,1202,1394,1396,1090,1337,1352,1361,1264,1118,1256,1370,1270,175,168,160,157,154,140,106,107,108,119,105,105,116,115,111,114,107,109,115,115,120,110,113,119,111,120,112,118,123,132,132,128,112,124,114,135,122,118,120,116,121,130,129,137,135,127,141,150,151,163,2724,3074,2464,3020,2713,3255,2663,3046,2176,2916,3219,2985,2227,2679,2204,2609,2902,3233,2907,2766,2206,3186,2718,3141,278,227,266,205,274,289,252,249,233,278,247,282,264,290,283,266,292,275,324,277,310,69,80,69,82,79,74,77,91,115,75,98,75,107,90,98,109,118,114,107,110,103,104,107,103,105,123,136,117,128,133,123,108,126,110,121,116,101,132,100,124,91,126,115,106,116,115,115,118,119,126,118,98,112,102,114,128,99,106,140,109,106,131,110,108,118,103,133,134,113,117,131,109,129,131,129,124,106,112,133,116,147,124,146,135,128,148,144,112,162,132,112,169,146,146,160,111,140,147,115,138,76,149,171,120,157,152,155,143,150,158,143,191,122,176,159,176,187,214,165,215,203,202,184,184,199,201,200,194,176,173,151,134,190,217,186,189,184,195,223,236,414,220,224,281,247,342,256,280,313,260,240,227,258,298,303,285,394,366,828,877,816,785,755,869,776,832,789,789,793,822,926,808,850,760,778,842,785,784,121,130,127,133,136,134,134,131,136,137,135,132,127,126,131,134,135,138,118,131,136,140,128,141,146,144,147,136,142,139,131,145,129,153,147,142,154,120,132,149,152,151,122,149,149,126,148,144,149,147,137,154,148,136,135,144,243,247,252,243,569,597,47,50,44,43,46,54,42,42,47,41,49,46,49,49,50,54,43,54,46,50,48,54,56,41,49,46,54,50,49,51,49,47,46,46,48,55,58,51,57,56,57,12923,13133,12894,12298,11617,12916,12245,13164,13023,11346,13796,11987,12717,11825,12457,11087,11364,12126,11978,12813,11880,10691,12928,11669,11625,11337,13094,12712,11171,11744,12870,13340,11858,10953,11594,12058,10152,11683,11423,11260,10247,10352,10391,10248,10800,10174,10743,10485,10696,10380,11662,11302,9823,9821,10606,11772,10610,10348,242,251,242,229,260,252,214,237,241,251,266,280,223,244,240,232,283,278,278,294,191,187,197,284,310,309,256,255,169,180,190,199,287,285,194,271,308,266,193,186,182,181,191,192,266],"up":[3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,4200,4200,4200,4200,4200,3300,3052,4200,4200,3900,4200,4200,4200,3900,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3052,3052,3052,3052,3052,3052,3900,3300,3052,3300,4200,3900,4200,4200,4200,4200,3900,3900,4200,3900,3900,3900,3900,3900,3900,4200,4200,3900,3900,3900,3900,3900,4200,3900,3900,3900,3900,3900,3900,3900,3900,3900,3900,3900,3900,3900,3900,4200,3783,3900,3783,4200,3900,3783,3783,3783,3900,3783,4200,3783,3900,3900,3900,3900,3900,3900,3900,3783,3052,3783,4200,3900,4200,3900,3900,3900,3900,3900,3783,4200,3900,3783,3900,3052,4200,3900,3783,3900,3900,3900,3900,3783,3783,3900,4200,3052,3052,3783,3783,3052,3783,3783,3900,3052,3052,3052,3783,3783,3052,3052,3900,3900,3052,3052,3052,3052,3052,3052,3052,3783,3783,3900,3783,3783,3052,3900,3783,3052,3052,3052,3052,3052,3052,3783,3783,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,4200,4200,4200,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3300,3300,3300,3300,3052,3300,3052,3052,3300,3300,3300,3300,3052,3052,3300,3052,3052,3300,3052,3300,3052,3052,3052,3052,3052,3300,3052,3052,3052,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,4200,3300,4200,3300,3300,3300,3300,3300,4200,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3300,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,11650,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3052,3300,3300,3300,3052,3300,3052,3052,3052,3052,3052,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,3052,4200,4200,4200,4200,4200,4200,4200,4200,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3052,3052,3052,4200,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3900,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4700,3900,4200,4200,4200,4200,4200,4200,4200,4700,4700,4200,4200,4200,4200,4200,4200,4200,3900,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,4200,4200,4200,4200,4200,4200,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,4200,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3300,3300,3300,3300,3052,3300,3300,3052,3300,3300,3300,3300,3300,3300,3300,3300,3052,3300,3052,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,4200,4200,4200,4200,3052,3052,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4700,4200,4200,4200,4200,4200,4200,4200,4200,4200,4700,4200,4200,4700,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,4200,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3052,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,3300,4200,4200,4200,3300,3300,3300,3300,3300,4200,4200,4200,4200,3300,3300,4200,3300,3300,3300,4200,4200,4200,4200,4200,4200,3300],"share":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,87,88,89,85,89,88,88,88,85,87,88,88,87,88,90,89,91,93,91,90,92,91,91,92,90,94,91,92,92,93,91,91,92,93,91,93,95,93,93,94,92,94,94,94,95,86,83,83,90,83,83,84,83,85,84,84,70,85,83,86,83,88,92,85,87,89,88,89,88,91,90,88,88,91,89,90,100,94,98,92,97,99,100,96,97,99,99,97,97,98,99,99,99,99,100,98,99,97,98,99,99,100,98,98,96,97,99,97,95,100,56,95,61,54,70,79,88,89,80,86,86,72,81,77,83,46,81,83,85,75,74,75,47,86,85,86,85,81,87,83,82,84,77,89,92,89,84,74,81,83,84,42,86,95,84,84,93,77,61,80,95,84,84,84,82,91,88,83,80,88,95,89,97,87,62,74,89,77,82,84,64,81,85,75,92,61,88,92,68,84,68,84,85,91,51,92,81,89,97,81,90,89,95,89,87,92,82,92,95,94,90,91,84,90,90,89,77,95,74,96,98,83,99,76,94,77,88,73,70,69,89,88,94,93,94,5,7,7,8,12,10,10,11,6,9,5,15,12,15,12,2,12,11,13,8,13,9,5,9,10,7,4,11,11,7,13,12,13,12,9,10,13,8,6,12,11,4,11,9,9,8,10,4,8,10,11,8,13,11,10,9,10,9,10,10,11,10,10,11,11,61,65,63,93,94,92,93,93,95,96,95,96,95,92,94,97,95,95,98,95,92,93,91,90,96,96,95,96,89,89,94,88,90,94,92,95,91,91,91,93,93,94,93,92,95,96,90,93,92,90,94,94,90,96,93,99,91,90,96,90,94,88,92,96,95,97,98,97,96,96,94,97,97,100,100,100,88,98,93,97,92,91,90,92,90,99,91,92,91,90,91,92,92,91,93,92,94,92,90,92,94,92,88,94,91,94,92,91,92,91,95,95,93,95,95,96,83,93,95,95,94,92,95,95,94,91,95,96,96,97,94,100,100,100,100,100,100,100,100,100,100,100,100,5,6,6,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,6,7,6,6,6,7,7,7,7,6,7,7,6,7,7,7,8,7,7,7,7,8,6,7,8,8,7,4,3,5,2,8,5,3,4,3,4,2,5,5,3,6,5,7,4,4,4,5,6,5,4,6,7,6,5,4,4,5,5,5,5,5,4,4,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,6,6,5,6,6,6,6,6,6,6,6,7,9,9,10,10,10,9,9,9,10,9,9,10,9,9,10,9,10,11,10,10,10,10,10,11,11,11,12,11,12,12,72,79,77,79,80,75,76,76,77,74,76,78,79,77,77,75,77,78,78,79,78,80,80,79,80,79,79,81,79,78,85,80,80,80,81,85,73,77,78,76,78,76,77,78,78,80,78,79,80,79,79,80,81,80,83,82,79,82,81,79,90,93,94,94,93,92,93,93,91,93,92,94,94,95,94,94,93,93,94,94,94,93,96,86,96,85,96,96,95,92,95,89,86,87,87,85,48,46,50,41,44,46,40,58,43,46,49,45,54,65,52,49,65,53,58,58,67,53,52,40,50,56,54,53,59,18,59,56,54,55,57,60,60,67,3,3,3,3,3,4,4,4,4,4,5,4,5,4,3,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,4,4,4,4,4,4,4,4,4,4,6,5,5,5,4,5,5,5,4,5,5,5,6,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,6,5,5,5,5,5,5,5,5,5,5,5,6,5,5,6,6,5,5,6,6,6,6,6,6,6,6,6,5,6,6,6,6,6,6,6,7,6,6,7,6,7,6,6,6,7,6,6,6,6,69,70,70,72,73,72,74,73,73,74,72,72,75,74,74,73,74,75,74,73,76,75,76,73,77,76,78,78,78,77,80,79,82,80,88,87,88,88,89,90,92,89,90,90,91,91,90,92,92,93,90,92,92,95,92,93,88,94,94,2,2,2,2,2,2,3,3,2,2,3,2,3,2,2,2,4,3,3,2,2,86,81,90,85,86,86,86,89,86,84,87,86,91,87,92,87,86,93,89,88,87,87,88,89,86,86,86,90,86,90,87,83,87,89,85,89,84,87,90,89,91,89,89,88,95,91,83,89,84,89,90,90,88,87,90,87,90,90,91,90,89,89,93,92,89,91,92,92,93,7,6,8,7,6,6,6,7,6,6,8,8,8,7,6,6,6,8,7,7,7,6,7,7,6,10,6,9,8,7,7,8,7,8,7,7,8,54,58,59,55,53,51,62,56,52,58,61,50,55,52,51,51,56,52,53,54,66,55,58,53,57,55,55,57,52,52,59,59,56,55,58,63,22,61,58,23,5,5,17,6,7,6,7,6,7,7,7,7,7,6,7,4,4,4,4,4,4,4,4,4,4,4,4,4,6,5,8,2,6,3,7,6,5,8,6,6,9,6,6,7,7,8,8,9,8,8,13,9,9,9,8,8,13,8,11,11,14,82,83,85,85,82,86,80,80,91,87,79,88,88,91,99,99,97,95,96,97,93,96,4,4,4,5,5,5,5,5,5,5,5,5,6,5,5,6,6,5,5,5,6,5,5,6,5,6,6,5,5,6,7,6,6,7,7,7,7,7,7,11,11,11,12,11,12,11,11,11,12,11,11,11,11,12,12,11,11,11,14,12,12,12,12,12,13,12,12,12,12,12,13,13,12,12,14,14,14,82,79,80,83,81,82,82,82,82,79,83,84,82,80,82,84,83,80,84,83,85,86,82,84,82,83,82,84,83,85,84,83,85,85,85,85,89,82,86,87,84,84,84,86,86,86,88,90,90,90,99,98,100,99,100,100,100,100,97,100,100,100,88,99,99,99,100,97,95,99,98,83,86,100,100,100,90,100,91,94,100,8,8,9,9,9,8,9,8,9,9,9,9,10,9,10,10,10,10,10,10,10,10,10,10,11,10,10,10,11,9,9,11,10,11,10,12,10,40,47,45,44,49,56,89,91,91,92,89,90,92,90,90,92,89,92,92,90,93,91,92,90,91,91,92,90,92,91,93,92,91,93,90,94,91,92,93,92,93,92,94,94,93,93,95,95,95,97,5,5,7,5,7,5,6,5,10,6,5,5,10,7,9,7,5,6,6,6,8,6,7,6,80,79,78,80,81,82,78,84,77,81,78,82,84,81,81,81,83,83,83,87,83,94,81,84,86,86,86,86,87,94,84,88,83,89,88,91,89,93,90,89,91,90,93,87,91,91,91,92,92,92,93,92,90,92,92,90,92,93,93,89,92,89,92,91,91,91,92,90,90,92,93,91,90,92,89,93,92,89,91,94,91,92,95,96,92,98,89,93,95,91,93,97,92,91,93,92,92,91,90,93,92,94,93,94,94,93,93,93,90,94,94,91,94,93,85,95,92,92,93,91,86,92,94,86,92,94,93,94,95,96,95,96,88,95,88,94,86,87,90,86,90,88,90,88,88,87,89,94,88,90,89,93,97,88,93,93,87,87,86,89,88,94,89,82,90,90,93,91,90,93,93,90,91,90,92,92,93,95,95,19,19,22,26,27,22,28,18,21,25,22,19,23,22,21,26,24,15,47,24,79,80,80,80,84,78,83,77,78,80,84,82,82,77,79,83,81,81,70,86,83,83,84,83,84,82,85,82,83,88,79,83,78,89,86,83,89,75,76,83,90,90,76,89,84,81,88,84,85,81,78,86,85,78,82,84,30,30,35,31,11,11,100,99,100,100,100,98,100,100,99,100,97,100,99,98,98,100,100,100,100,100,95,99,99,95,100,100,98,100,100,100,98,100,100,99,100,98,99,100,99,100,100,2,2,2,2,2,2,2,2,3,3,2,3,3,3,3,3,3,2,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,3,3,3,3,4,4,4,4,4,4,62,67,70,72,66,67,57,66,64,65,69,71,66,65,72,66,64,69,48,62,50,61,58,66,58,65,56,58,54,54,59,59,64,57,62,55,68,66,59,55,65,56,55,64,65],"pick":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,1,0,2,2,3,2,2,2,3,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,3,1,0,1,2,3,2,2,2,2,3,3,2,3,3,3,3,3,3,2,2,3,3,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,4,3,4,2,3,4,4,4,3,4,2,4,3,3,3,3,3,3,3,4,0,4,2,3,2,3,3,3,3,3,4,2,3,4,3,0,2,3,4,3,3,3,3,4,4,3,2,0,0,4,4,0,4,4,3,0,0,0,4,4,0,0,3,3,0,0,0,0,0,0,0,4,4,3,4,4,0,3,4,0,0,0,0,0,0,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,1,0,0,1,1,1,1,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,5,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,2,2,2,2,2,2,2,2,2,2,6,3,2,2,2,2,2,2,2,6,6,2,2,2,2,2,2,2,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,0,0,2,2,2,2,2,2,2,2,2,2,6,2,2,2,2,2,2,2,2,2,6,2,2,6,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,1,1,1,1,1,2,2,2,2,1,1,2,1,1,1,2,2,2,2,2,2,1],"qty":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1],"ducted":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]},"self":{"sav":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,430,423,287,522,424,427,437,419,473,463,459,428,427,461,417,429,269,262,280,284,345,293,273,259,280,285,268,254,267,293,259,260,250,295,246,231,199,274,229,214,240,199,189,207,264,154,618,611,510,605,617,600,614,590,632,619,562,619,664,598,667,430,470,600,579,433,421,439,589,401,399,579,574,390,419,463,550,977,847,875,878,461,128,1079,707,448,681,717,777,548,152,147,144,134,106,177,135,174,162,354,146,112,179,189,200,191,393,490,257,378,675,741,336,347,663,375,744,754,378,257,754,208,221,213,215,754,372,241,222,275,234,249,612,243,244,233,257,260,254,523,230,262,603,497,317,257,240,378,305,276,289,287,215,344,278,399,279,262,254,252,246,226,287,238,291,191,195,309,50,344,214,215,213,216,167,342,183,163,282,347,183,301,166,52,335,182,321,303,192,295,190,217,231,153,308,93,93,193,229,95,211,95,170,87,92,110,182,90,104,91,190,181,86,46,96,103,86,90,54,207,241,191,321,180,107,224,186,47,48,163,101,84,97,107,98,11,14,14,15,17,16,15,17,12,15,12,18,17,18,17,4,18,12,17,15,18,15,13,16,16,15,10,19,14,16,19,19,19,16,17,17,18,16,14,19,16,10,15,16,13,16,14,10,15,16,14,16,16,17,17,24,27,24,26,27,26,26,25,26,25,301,294,292,623,596,639,618,584,541,510,476,468,473,381,573,380,505,525,467,530,331,552,352,328,457,494,469,416,273,264,426,295,232,460,276,452,249,216,228,226,190,363,226,224,138,342,187,218,226,249,244,188,239,196,212,128,186,199,175,233,118,243,216,152,153,86,128,76,88,85,186,72,81,47,46,40,632,632,502,671,617,610,602,615,580,662,575,584,581,598,560,594,510,608,449,575,446,492,621,467,458,484,432,442,488,429,454,460,572,456,403,402,451,363,393,398,421,395,388,399,457,425,392,377,399,252,368,356,397,344,396,6,6,25,1,1,10,14,13,0,7,65,4324,8,7,7,8,8,7,7,7,7,7,8,8,8,8,8,7,9,7,8,7,7,8,7,8,7,8,8,7,7,7,7,7,8,7,7,8,7,8,8,8,8,7,7,8,7,7,7,8,3,3,3,3,4,4,3,3,3,3,2,3,3,3,3,3,4,3,3,3,3,3,3,3,3,4,3,6,5,5,4,5,6,5,5,5,4,5,4,4,5,5,5,5,4,5,5,5,4,4,4,4,5,5,5,5,4,4,5,5,4,4,4,4,4,5,4,4,4,4,17,18,19,16,18,18,18,18,18,18,18,16,17,17,17,17,16,18,18,17,16,16,17,17,18,17,18,17,17,16,348,420,368,419,430,237,232,236,230,336,241,376,392,232,381,235,237,363,238,235,230,381,374,229,232,224,225,212,221,214,212,208,214,212,358,370,359,347,229,348,375,345,332,343,230,349,242,370,236,225,346,224,244,237,223,257,348,214,216,371,359,316,279,274,295,327,282,267,318,302,327,294,277,235,274,255,262,272,265,245,263,258,223,203,225,194,223,224,235,175,237,174,205,208,188,181,585,595,608,564,564,578,575,606,567,557,592,559,605,673,600,594,686,610,633,649,695,151,140,161,214,218,214,152,220,136,147,214,210,144,139,155,146,226,9,9,9,8,8,10,10,9,9,10,11,10,11,9,8,9,9,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,11,9,11,11,11,9,10,8,11,11,11,12,11,11,11,10,12,10,11,9,12,11,11,12,12,12,10,10,11,11,11,10,10,11,10,10,11,11,11,11,9,11,11,11,10,10,11,10,10,10,9,9,9,10,11,10,10,10,11,9,10,11,10,12,11,11,11,11,10,11,10,11,10,10,10,11,11,11,11,11,12,12,10,12,10,12,11,12,11,11,11,10,330,318,319,321,318,192,182,327,191,194,190,190,319,180,186,187,186,306,186,186,175,326,180,190,182,176,180,169,178,183,180,165,170,173,345,320,324,329,324,310,272,268,299,322,298,287,306,256,285,251,289,251,248,212,246,232,160,199,202,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,506,557,469,516,516,489,504,451,532,589,466,474,430,488,458,478,454,459,443,458,482,472,470,464,484,497,485,438,484,434,447,550,492,451,495,490,520,471,441,457,440,427,471,434,331,296,517,443,512,417,287,425,432,437,419,428,293,421,293,418,420,452,335,361,418,287,279,276,314,24,19,24,23,19,20,20,20,19,21,23,23,23,22,19,18,17,21,20,20,20,18,19,19,20,23,17,23,22,19,20,20,18,20,18,19,21,122,204,131,123,136,118,140,134,121,126,140,117,122,118,117,117,126,114,120,118,146,120,120,114,120,118,118,119,116,114,124,124,121,118,122,127,41,125,117,113,22,23,166,25,27,23,24,22,25,24,22,22,26,24,24,4,4,3,3,3,3,4,3,3,3,4,4,4,4,4,4,3,4,3,5,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,5,4,4,4,4,4,4,4,4,4,4,457,482,416,465,424,492,468,480,431,431,475,453,478,463,252,253,241,116,123,116,132,123,11,10,11,11,11,12,11,11,12,11,12,12,13,10,11,12,12,12,12,12,13,12,12,13,13,12,13,11,11,10,11,11,11,11,12,10,10,11,11,34,33,31,33,30,31,30,32,34,35,32,32,33,33,33,34,33,33,33,36,32,33,31,32,31,33,31,31,29,30,31,31,31,31,31,34,32,32,188,182,178,206,178,209,192,192,175,175,179,163,178,177,172,168,158,174,146,168,167,163,171,162,181,172,182,154,179,157,169,179,155,165,161,164,160,165,153,152,161,168,162,155,175,164,152,154,150,148,709,655,706,700,580,606,756,753,755,691,722,692,875,856,678,748,751,758,815,735,724,843,830,815,650,810,734,645,859,856,682,23,28,26,26,25,23,28,27,27,26,24,24,24,23,27,23,25,23,23,23,26,24,28,26,26,25,22,22,28,23,23,22,24,27,24,22,24,310,319,334,338,343,378,440,441,430,325,446,447,402,409,421,410,440,431,336,408,325,430,415,393,422,390,420,399,315,249,296,258,423,318,413,297,270,400,325,340,322,301,307,292,293,306,288,272,268,256,11,10,12,10,11,9,12,10,14,10,10,10,14,11,14,12,10,9,10,11,14,10,11,10,118,145,124,278,120,114,131,132,141,119,133,117,125,114,117,124,113,120,102,119,106,673,539,628,529,550,584,564,361,286,578,336,574,308,369,336,304,281,290,308,300,320,365,308,320,315,269,242,281,258,248,268,306,262,299,272,284,375,250,376,267,408,262,288,310,284,287,288,280,278,262,280,384,294,322,291,257,333,359,235,303,356,251,352,307,334,319,248,246,291,283,301,303,256,253,256,266,312,295,247,285,224,267,226,244,258,223,230,294,204,249,295,196,227,209,207,298,235,225,287,221,572,222,178,275,211,218,212,231,220,209,231,160,318,173,208,173,164,143,185,142,150,151,166,166,154,152,152,157,173,176,218,292,160,140,164,161,166,156,137,129,74,139,136,109,124,89,119,109,98,117,127,134,118,102,101,107,77,84,124,116,123,124,127,113,117,122,116,120,121,110,33,116,36,127,116,118,39,39,444,418,417,399,395,400,402,411,395,394,402,406,424,423,418,398,398,385,443,412,398,383,422,385,371,373,368,395,376,390,407,374,415,354,371,380,352,437,407,361,359,359,434,364,365,430,366,376,366,369,390,354,367,392,401,373,221,220,215,221,217,215,952,825,1030,1023,959,881,1053,1052,951,1079,1110,963,950,957,939,749,1038,830,979,878,1132,875,848,1363,903,996,865,894,909,891,1042,966,954,1013,934,864,798,871,804,796,799,2,2,2,2,3,2,2,2,2,3,2,2,2,3,2,3,3,2,2,2,3,3,2,3,3,3,2,2,3,3,2,2,3,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,263,256,269,282,250,256,300,270,270,256,240,118,288,260,274,273,258,269,316,248,275,275,268,257,233,246,271,274,321,302,273,262,251,289,268,265,165,274,279,289,293,292,286,270,274],"pb":[-1,-1,-1,11566862324203520,11566862324203520,5783431162101760,7711241549469015,-1,23133724648407040,2891715581050880,-1,-1,-1,23133724648407040,-1,-1,-1,-1,4626744929681408,-1,-1,11566862324203520,2891715581050880,11566862324203520,11566862324203520,-1,-1,3855620774734508,-1,-1,4626744929681408,7711241549469015,-1,-1,-1,-1,23133724648407040,-1,-1,3855620774734508,-1,7711241549469015,5783431162101760,-1,-1,11566862324203520,7711241549469015,11566862324203520,23133724648407040,5783431162101760,-1,-1,4626744929681408,11566862324203520,-1,-1,-1,7711241549469015,11566862324203520,7711241549469015,11566862324203520,-1,23133724648407040,-1,-1,7711241549469015,-1,11566862324203520,-1,3304817806915291,-1,23133724648407040,-1,23133724648407040,-1,-1,-1,-1,23133724648407040,-1,-1,-1,7711241549469015,-1,11566862324203520,23133724648407040,-1,11566862324203520,-1,-1,57,58,45,47,58,58,56,59,52,53,54,57,58,53,59,57,48,50,46,46,51,44,48,50,46,62,49,51,49,60,50,50,52,60,53,56,66,64,57,61,54,65,69,63,66,68,36,40,34,41,40,41,40,42,36,40,40,40,34,41,34,30,37,41,42,30,31,30,42,32,33,42,43,33,31,38,32,23,29,26,28,38,82,29,35,39,36,34,32,32,69,72,73,78,99,59,78,61,65,50,72,94,59,56,53,55,45,36,41,46,76,47,73,71,77,66,47,47,65,68,47,84,79,82,82,89,66,73,79,64,75,70,83,72,72,75,68,68,69,67,76,67,58,71,55,68,73,65,57,64,61,86,82,56,63,44,63,67,97,70,71,78,61,74,60,92,90,57,208,51,82,82,82,81,105,72,96,108,62,71,96,58,106,200,73,96,55,58,91,59,92,81,76,114,80,114,113,91,84,111,83,111,103,121,115,96,96,117,101,115,93,97,122,226,110,102,122,117,195,93,80,92,60,97,98,78,94,223,217,108,104,126,109,98,107,960,770,774,692,612,677,711,618,852,688,889,584,624,603,610,2453,572,846,611,690,592,687,814,641,672,701,1058,565,743,673,541,555,565,651,620,618,592,646,766,566,657,1091,696,670,805,671,764,1055,681,637,736,679,646,625,631,438,385,433,406,390,411,413,416,408,428,82,84,84,28,29,27,28,30,32,34,37,38,37,28,31,34,35,33,38,33,32,32,30,32,38,36,37,42,39,40,41,36,45,38,38,39,42,49,46,47,55,36,47,47,76,38,56,48,46,42,43,56,44,54,50,82,57,53,60,45,89,43,49,69,69,122,82,139,120,124,57,147,130,224,229,261,39,39,35,37,40,40,41,40,42,37,43,42,42,41,44,41,34,40,39,43,39,36,40,38,38,36,41,40,36,41,39,38,43,38,44,44,39,48,45,44,42,44,45,44,38,41,45,46,44,42,48,49,44,51,44,1808,1889,415,18536,9163,1020,765,801,755300,1533,161,12,1289,1456,1458,1371,1403,1496,1415,1436,1580,1502,1386,1392,1397,1342,1319,1422,1198,1471,1367,1494,1495,1386,1470,1322,1416,1384,1233,1584,1448,1427,1505,1432,1266,1414,1428,1311,1581,1406,1392,1409,1329,1458,1461,1398,1547,1412,1426,1278,3345,4024,3051,4086,2722,3046,3659,3361,3967,3191,5017,3391,3248,3452,3127,3265,2988,3310,3483,3229,3300,3277,3162,3782,3277,2893,3141,1876,2179,2212,2314,2044,1919,2271,2176,2221,2364,2299,2461,2454,2157,2205,2159,2278,2345,2242,2263,2215,2372,2370,2321,2484,2143,2208,2248,2189,2354,2625,2114,2231,2367,2455,2457,2684,2688,2252,2440,2535,2467,2424,614,601,554,649,589,596,573,571,596,580,590,646,608,607,618,617,648,593,585,604,648,649,624,612,600,604,583,606,616,665,65,58,67,59,57,55,56,55,56,67,54,65,63,56,64,55,55,68,55,55,57,64,66,57,56,58,58,61,59,61,61,62,61,62,69,66,63,65,57,65,60,65,68,66,57,64,54,61,55,58,65,58,53,55,58,51,65,61,60,61,36,41,47,47,44,40,46,49,41,43,40,44,47,55,48,51,50,48,49,53,49,50,58,52,58,54,58,58,55,60,55,60,51,50,56,58,54,53,52,56,56,55,55,52,56,57,53,56,52,47,53,53,46,52,50,49,45,116,125,109,115,113,115,116,112,128,120,115,117,122,126,113,120,109,1132,1194,1152,1278,1255,1067,1040,1214,1140,1061,970,1104,982,1150,1237,1168,1131,1250,-1,-1,-1,6609635613830582,11566862324203520,5783431162101760,46267449296814080,23133724648407040,-1,46267449296814080,-1,-1,-1,11566862324203520,-1,46267449296814080,-1,-1,11566862324203520,-1,-1,-1,-1,11566862324203520,-1,11566862324203520,-1,23133724648407040,-1,7711241549469015,-1,-1,7711241549469015,-1,9253489859362816,15422483098938030,-1,11566862324203520,46267449296814080,11566862324203520,9253489859362816,-1,-1,11566862324203520,15422483098938030,-1,-1,11566862324203520,46267449296814080,-1,15422483098938030,11566862324203520,11566862324203520,-1,9253489859362816,-1,-1,-1,-1,-1,-1,23133724648407040,46267449296814080,-1,-1,-1,46267449296814080,-1,-1,23133724648407040,23133724648407040,46267449296814080,11566862324203520,-1,927,970,1172,947,994,983,1172,1048,1266,950,988,966,844,960,932,967,1014,849,1000,980,1218,848,953,986,849,918,883,1044,1018,989,976,977,1018,1099,946,1007,1053,987,954,968,990,1126,970,946,953,1050,1026,994,1003,1008,1066,1140,1126,1195,1052,977,1014,1041,1005,990,1114,1076,990,1020,918,993,959,942,958,1077,994,1030,972,1065,998,1010,968,977,931,925,937,909,904,999,916,1075,899,953,850,950,952,984,1049,74,77,77,76,77,68,72,75,68,67,68,69,77,72,70,69,70,80,70,70,74,75,72,68,72,74,72,77,73,71,72,79,76,75,38,41,40,40,40,42,48,49,44,40,44,45,42,51,46,52,45,52,52,61,53,56,66,66,64,6864,5351,4576,5331,6191,5312,4359,4720,4809,5747,5339,5591,4746,5658,5780,6842,4556,5357,4847,5523,6410,49,44,52,48,48,50,49,54,46,42,53,52,57,50,54,51,54,54,56,54,51,52,52,53,51,49,51,56,51,57,55,45,50,54,50,50,47,52,56,54,56,58,52,57,53,44,48,55,48,59,45,58,57,56,59,57,44,58,44,59,58,54,52,49,59,45,47,47,56,446,542,442,466,567,529,529,513,560,507,450,459,450,480,555,601,616,491,527,520,530,567,544,552,539,460,629,452,478,554,513,514,591,540,582,562,503,144,120,134,142,129,149,125,131,145,139,126,150,144,148,150,150,139,154,147,148,120,146,146,154,146,148,149,147,151,154,142,142,145,148,144,138,256,140,150,155,467,459,148,420,390,454,448,469,423,429,474,468,410,435,445,2879,2907,3092,3185,3418,3117,3038,3261,3132,3120,2695,2882,2758,2704,2437,2430,3574,2577,3062,1932,2432,2527,2386,2439,2875,2570,2185,2468,2621,2885,2786,2727,2639,2391,2961,2164,3047,2951,3012,2655,2745,2793,2822,2497,2661,2899,54,47,59,53,58,50,48,47,57,57,47,54,51,53,70,69,73,90,86,90,80,86,958,1032,928,967,935,888,929,936,882,989,915,916,836,1043,955,898,905,882,873,851,788,854,890,800,796,873,829,985,952,1097,920,966,928,947,913,1036,1034,973,993,308,318,342,320,354,343,347,328,309,303,325,332,318,318,314,312,320,320,319,293,333,320,335,326,344,317,335,335,359,345,335,337,341,337,344,307,334,325,69,72,73,63,73,62,68,68,74,74,72,80,73,73,76,77,82,74,89,77,78,80,76,80,72,75,71,84,72,83,77,73,84,79,81,79,81,79,85,85,81,77,80,84,74,80,86,85,86,88,25,38,35,35,30,29,32,33,32,36,34,36,36,29,36,33,33,32,39,33,34,38,38,30,38,30,43,38,37,37,26,457,377,398,401,414,455,380,394,394,410,431,434,447,460,389,464,428,455,450,453,407,445,376,407,398,414,480,481,376,461,466,469,436,385,433,472,438,79,77,74,73,72,65,56,56,57,54,55,55,61,60,58,60,56,57,52,60,54,57,59,63,58,63,58,62,56,52,59,50,58,55,60,59,48,62,54,52,54,58,57,60,60,57,61,64,65,68,939,1060,849,1041,935,1122,918,1050,750,1005,1110,1029,768,924,760,899,1000,1114,1002,953,760,1098,937,1083,110,90,105,88,108,114,99,98,92,110,98,111,104,114,111,105,115,108,128,109,122,36,46,39,46,45,42,44,36,45,42,39,43,42,35,39,43,46,45,42,43,41,48,42,41,41,48,54,46,50,52,48,42,50,43,48,46,47,52,47,49,43,50,45,42,46,45,45,46,47,50,46,46,44,40,45,51,39,49,55,43,49,52,50,42,52,41,52,53,45,46,58,43,51,52,51,49,42,44,53,46,58,49,58,53,50,58,56,44,64,52,44,66,57,50,63,44,55,58,45,48,43,59,59,47,62,60,61,56,59,62,56,66,55,61,63,61,64,74,57,74,70,70,64,64,68,69,69,67,61,60,60,60,66,75,64,65,63,67,77,82,143,76,77,97,85,118,88,97,108,90,83,78,89,103,104,98,136,126,141,151,142,141,138,155,150,144,151,147,144,160,319,151,293,138,151,148,270,270,55,59,59,62,62,61,61,60,62,62,61,60,58,58,59,62,62,64,55,60,62,64,58,64,66,66,67,62,65,63,60,66,59,69,66,65,70,56,60,68,68,68,57,67,67,57,67,65,67,66,63,69,67,63,61,66,111,112,114,111,113,114,26,21,24,24,26,28,23,23,26,23,28,26,26,26,26,23,24,30,25,28,28,28,29,23,27,25,28,28,27,28,30,25,26,24,26,28,31,28,30,31,31,4455,4527,4444,4239,4004,4452,4221,4537,4489,3911,4755,4132,4383,4076,4294,3822,3917,4180,4129,4417,4095,3685,4456,4022,4007,3908,4513,4382,3850,4048,4436,4598,4087,3775,3996,4156,3499,4027,3938,3881,3532,3568,3582,3532,3722,3507,3703,3614,3687,3578,4020,3896,3386,3385,3656,4058,3657,3567,93,96,91,87,98,96,82,91,91,96,102,110,85,95,90,90,95,91,71,99,89,89,92,96,106,100,83,82,76,81,90,94,98,78,92,85,106,82,88,85,84,84,86,91,90],"up":[1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,1300,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1300,1300,1300,1300,1754,1300,1300,1300,1300,1754,1300,1300,1300,1754,1300,1300,1300,1754,1300,1300,1300,1754,1300,1300,1300,1300,1300,1300,1754,1052,2250,2456,1754,2456,2456,2456,2456,2456,2250,2456,2250,2456,2250,2456,2250,1300,1754,2456,2456,1300,1300,1300,2456,1300,1300,2456,2456,1300,1300,1754,1754,2250,2456,2250,2456,1754,1052,3158,2456,1754,2456,2456,2456,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1754,1052,1052,1052,1052,1052,1052,1754,1754,1052,1754,5098,3515,2456,2456,5098,2456,3515,3515,2456,1754,3515,1754,1754,1754,1754,6681,2456,1754,1754,1754,1754,1754,5098,1754,1754,1754,1754,1754,1754,3515,1754,1754,3515,3515,1754,1754,1754,2456,1754,1754,1754,2456,1754,1933,1754,1754,1754,1754,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1754,1754,1754,1754,1754,1754,2456,1754,1754,1754,2456,1754,1754,1754,1052,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,2456,1052,1052,1754,1933,1052,1754,1052,1754,1052,1052,1052,1754,1052,1052,1052,1754,1754,1052,1052,1052,1052,1052,1052,1052,1933,1933,1754,1933,1754,1052,1754,1754,1052,1052,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1754,1300,1754,1754,1754,1754,1052,1754,1052,1052,1754,1754,1754,1754,1052,1052,1754,1052,1052,1754,1052,1754,1052,1052,1052,1052,1052,1300,1052,1052,1052,1300,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,1754,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1754,2456,1754,2456,1754,1754,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1754,1754,1754,1754,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,5098,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2250,2456,2456,2456,2456,1300,1300,1300,1300,2250,1300,2456,2456,1300,2456,1300,1300,2456,1300,1300,1300,2456,2456,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,2456,2456,2250,2250,1300,2250,2250,2250,2250,2250,1300,2250,1300,2250,1300,1300,2250,1300,1300,1300,1300,1300,2250,1300,1300,2250,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1052,1300,1052,1300,1300,1300,1052,1300,1052,1052,1052,1052,1052,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,3158,1754,1754,1754,2456,2456,2456,1754,2456,1754,1754,2456,2456,1754,1754,1754,1754,2456,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,2456,2456,2456,1300,1300,2456,1300,1300,1300,1300,2456,1300,1300,1300,1300,2456,1300,1300,1300,2456,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1052,1300,1300,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1754,1300,2456,2456,2456,2456,1300,2456,2456,2456,2456,2456,1300,2456,1300,2456,2456,2456,1754,1754,2456,1300,1300,1300,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1754,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1754,1754,1754,1052,1052,2456,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2250,2456,2456,2456,2456,2250,2250,2456,2456,2250,2456,2456,2456,1754,1754,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1754,2456,2456,2456,1754,1754,2456,2456,2456,2456,2456,2456,3158,2456,2456,2456,2456,2456,3158,2456,2456,3158,3158,2456,2456,2456,3158,2456,3158,3158,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,2456,2456,2456,2456,2456,2456,2456,1754,2456,2456,2456,2456,2456,2456,2456,2456,1754,2456,1754,2456,2456,2456,2456,2456,2456,2456,1754,1300,1754,1300,2456,1754,2456,1754,1300,2456,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1300,1300,1300,2456,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,2456,2456,2456,2456,2456,2456,2456,1300,1300,2456,1300,2456,1300,1300,1300,1300,1300,1300,1300,1300,1300,1754,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1754,1300,1754,1300,1754,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1754,1300,1300,1300,1300,1300,1754,1300,1300,1754,1300,1754,1300,1754,1300,1300,1300,1300,1300,1754,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1300,1052,1300,1300,1300,1300,1300,1052,2456,1300,1052,1300,1300,1300,1300,1300,1300,1300,1300,1052,1754,1052,1300,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1300,1754,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1754,1052,1754,1052,1754,1754,1754,1052,1052,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1754,2456,2456,2456,2456,2456,2456,2456,2456,3158,2456,2456,2456,2456,1754,2456,2456,2456,2456,3158,2456,2456,3158,2456,2456,2456,2456,2456,2456,3158,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,1052,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,2456,1300,2456,2456,2456,2456,2456,2456,2250,2456,2456,2456,2456,2456,2456,2456,2250,2250,2456,2456,2456,2456,2456,2250,2456,2250,1754,2250,2456,2456,2456,2456,2456,2456,2456],"share":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,97,96,89,95,99,97,98,97,95,96,97,96,96,97,99,99,91,93,91,90,97,91,91,92,90,98,91,92,92,97,91,91,92,97,91,93,95,97,93,94,92,94,94,94,99,86,98,97,98,97,97,98,97,99,98,98,84,99,98,99,98,88,98,99,100,89,88,89,100,91,90,100,100,91,89,97,100,98,100,98,99,100,100,100,100,100,100,100,100,100,99,99,99,99,100,98,99,97,98,100,99,100,98,98,96,97,100,100,95,100,83,100,70,63,93,86,99,100,86,93,99,85,92,94,96,84,89,91,95,85,87,87,72,93,94,96,94,95,95,97,91,93,97,99,98,96,94,84,99,93,99,46,94,95,100,100,97,99,72,99,98,94,93,93,91,97,98,99,80,100,90,95,93,94,74,98,97,87,98,89,75,98,92,75,96,71,100,97,78,94,82,100,99,97,59,92,81,100,97,81,100,80,99,89,87,92,99,79,95,94,96,97,84,90,90,89,77,95,74,96,98,91,99,99,94,87,100,73,70,99,89,88,94,82,82,5,7,7,8,12,10,10,11,6,9,5,15,12,15,12,2,12,11,13,8,13,9,5,9,10,7,4,11,11,7,13,12,13,12,9,10,13,8,6,12,11,4,11,9,9,8,10,4,8,10,11,8,13,11,10,9,10,9,10,10,11,10,10,11,11,78,80,80,99,99,98,99,98,99,99,99,99,99,92,99,97,99,99,100,99,92,99,91,90,100,100,99,100,89,89,99,88,90,99,92,99,91,91,91,93,93,94,93,92,95,96,90,93,92,90,94,94,90,96,93,99,91,90,96,90,94,88,92,96,95,97,98,97,96,96,94,97,97,100,100,100,100,100,98,100,100,100,100,100,100,100,100,100,100,100,100,100,98,100,98,100,99,98,100,98,99,98,94,99,98,99,98,98,100,98,99,99,99,99,99,99,88,99,99,99,99,98,99,99,99,91,99,99,100,100,99,100,100,100,100,100,100,100,100,100,100,100,100,5,6,6,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,6,7,6,6,6,7,7,7,7,6,7,7,6,7,7,7,8,7,7,7,7,8,6,7,8,8,7,4,3,5,2,8,5,3,4,3,4,2,5,5,3,6,5,7,4,4,4,5,6,5,4,6,7,6,5,4,4,5,5,5,5,5,4,4,5,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,5,5,6,6,5,6,6,6,6,6,6,6,6,7,9,9,10,10,10,9,9,9,10,9,9,10,9,9,10,9,10,11,10,10,10,10,10,11,11,11,12,11,12,12,89,83,80,83,85,75,76,76,77,90,76,82,83,77,81,75,77,83,78,79,78,85,86,79,80,79,79,81,79,78,85,80,80,80,88,90,91,95,78,94,96,94,95,94,78,97,78,96,80,79,96,80,81,80,83,82,96,82,81,95,90,93,94,94,93,92,93,93,91,93,92,94,94,95,94,94,93,93,94,94,94,93,96,86,96,85,96,96,95,92,95,89,86,87,87,85,75,73,77,69,70,74,66,82,71,73,74,72,80,89,76,74,87,77,83,81,89,47,45,37,62,71,68,47,75,48,52,69,67,48,51,53,53,81,3,3,3,3,3,4,4,4,4,4,5,4,5,4,3,4,4,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,5,4,4,4,4,4,4,4,4,4,4,4,6,5,5,5,4,5,5,5,4,5,5,5,6,5,5,5,5,5,5,5,5,4,5,5,5,5,5,5,5,5,5,6,5,5,5,5,5,5,5,5,5,5,5,6,5,5,6,6,5,5,6,6,6,6,6,6,6,6,6,5,6,6,6,6,6,6,6,7,6,6,7,6,7,6,6,6,7,6,6,6,6,70,72,73,76,79,72,74,78,73,74,72,72,80,74,74,73,74,81,74,73,76,81,76,73,77,76,78,78,78,77,80,79,82,80,88,87,88,88,89,90,92,89,90,90,91,91,90,92,92,93,90,92,92,95,92,93,88,94,94,2,2,2,2,2,2,3,3,2,2,3,2,3,2,2,2,4,3,3,2,2,94,87,98,93,95,94,94,98,95,92,94,94,99,95,98,95,96,100,96,97,96,95,95,97,93,95,94,98,96,98,96,92,95,97,94,96,93,95,97,98,98,97,96,96,99,91,93,96,92,97,90,98,96,96,96,95,90,98,91,97,97,98,97,96,97,91,92,92,97,7,6,8,7,6,6,6,7,6,6,8,8,8,7,6,6,6,8,7,7,7,6,7,7,6,10,6,9,8,7,7,8,7,8,7,7,8,40,66,45,40,39,37,47,42,39,43,47,37,41,39,39,39,42,40,40,41,51,40,43,41,43,42,42,43,39,39,43,46,43,42,43,47,22,48,44,42,5,5,19,6,7,6,7,6,7,7,7,7,7,6,7,4,4,4,4,4,4,4,4,4,4,4,4,4,6,5,8,2,6,3,7,6,5,8,6,6,9,6,6,7,7,8,8,9,8,8,13,9,9,9,8,8,13,8,11,11,14,88,99,93,95,89,95,97,97,99,95,97,97,95,99,100,100,99,95,96,97,93,96,4,4,4,5,5,5,5,5,5,5,5,5,6,5,5,6,6,5,5,5,6,5,5,6,5,6,6,5,5,6,7,6,6,7,7,7,7,7,7,11,11,11,12,11,12,11,11,11,12,11,11,11,11,12,12,11,11,11,14,12,12,12,12,12,13,12,12,12,12,12,13,13,12,12,14,14,14,82,79,80,83,81,82,82,82,82,79,83,84,82,80,82,84,83,80,84,83,85,86,82,84,82,83,82,84,83,85,84,83,85,85,85,85,89,82,86,87,84,84,84,86,86,86,88,90,90,90,100,99,100,99,100,100,100,100,98,100,100,100,99,100,100,100,100,98,99,100,99,97,98,100,100,100,99,100,99,99,100,8,8,9,9,9,8,9,8,9,9,9,9,10,9,10,10,10,10,10,10,10,10,10,10,11,10,10,10,11,9,9,11,10,11,10,12,10,54,61,58,57,62,69,96,97,97,94,97,97,97,97,97,98,98,98,95,98,96,97,98,98,98,98,98,98,96,91,96,92,99,97,98,97,91,99,96,96,97,96,97,98,96,96,98,98,99,99,5,5,7,5,7,5,6,5,10,6,5,5,10,7,9,7,5,6,6,6,8,6,7,6,80,79,78,86,81,82,78,84,77,81,78,82,84,81,81,81,83,83,83,87,83,97,95,97,96,96,96,96,87,94,95,88,95,89,88,91,89,93,90,89,91,90,98,87,91,91,91,92,92,92,93,92,90,92,92,90,92,98,93,93,92,96,92,91,91,91,92,90,90,92,93,91,96,92,89,93,92,89,96,94,91,96,95,100,92,100,89,93,95,91,93,100,92,91,93,92,92,91,90,93,92,94,93,94,94,93,93,93,90,94,94,91,94,93,85,95,92,92,93,91,86,100,94,86,92,94,93,94,95,96,95,96,88,99,88,94,86,87,90,86,90,88,90,88,88,87,89,94,88,90,89,93,99,88,93,93,87,87,86,89,88,94,89,82,90,90,93,91,90,93,93,90,91,90,92,92,93,95,95,49,51,57,62,65,54,63,43,48,59,54,49,23,48,21,64,54,36,47,24,85,87,85,84,88,83,88,84,83,85,89,87,87,83,87,89,87,87,73,91,89,88,90,89,90,87,91,88,89,93,84,89,83,94,92,89,94,77,81,89,96,96,80,95,91,88,94,90,91,87,85,94,91,85,89,90,40,39,43,40,43,43,100,99,100,100,100,100,100,100,100,100,100,100,100,99,99,100,100,100,100,100,100,100,100,100,100,100,99,100,100,100,100,100,100,100,100,99,99,100,100,100,100,2,2,2,2,2,2,2,2,3,3,2,3,3,3,3,3,3,2,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,3,3,3,3,4,4,4,4,4,4,67,72,75,77,72,73,61,72,69,70,74,71,71,69,78,69,71,78,71,69,66,76,76,72,65,75,75,78,79,78,74,75,70,79,78,77,53,87,77,79,83,72,75,79,72],"pick":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,0,1,1,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,1,0,0,0,1,1,1,0,1,1,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,0,4,0,4,4,0,0,4,0,0,0,0,4,0,0,0,0,0,0,4,0,0,0,0,0,0,4,0,0,4,4,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,4,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,0,1,0,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0],"qty":[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,1,3,3,3,3,3,3,3,3,3,3,3,3,3,1,1,1,1,2,1,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,2,1,1,1,1,1,1,2,1,2,3,2,3,3,3,3,3,2,3,2,3,2,3,2,1,2,3,3,1,1,1,3,1,1,3,3,1,1,2,2,2,3,2,3,2,1,4,3,2,3,3,3,2,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,2,2,1,2,3,2,3,3,3,3,2,2,3,2,2,2,2,2,2,4,3,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,2,2,2,3,2,1,2,2,2,2,3,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,2,3,2,2,2,3,2,2,2,1,3,2,2,2,2,2,2,2,2,2,3,1,1,2,1,1,2,1,2,1,1,1,2,1,1,1,2,2,1,1,1,1,1,1,1,1,1,2,1,2,1,2,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,2,2,2,2,2,2,2,2,2,2,1,2,1,2,2,2,2,1,2,1,1,2,2,2,2,1,1,2,1,1,2,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,2,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,2,3,2,2,3,2,2,2,2,2,2,2,2,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,3,1,1,1,1,2,1,3,3,1,3,1,1,3,1,1,1,3,3,1,1,1,1,1,1,1,1,1,1,1,3,3,2,2,1,2,2,2,2,2,1,2,1,2,1,1,2,1,1,1,1,1,2,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,2,2,2,3,3,3,2,3,2,2,3,3,2,2,2,2,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,1,1,3,1,1,1,1,3,1,1,1,1,3,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,1,3,3,3,3,1,3,3,3,3,3,1,3,1,3,3,3,2,2,3,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,1,2,2,2,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,2,3,3,3,3,2,2,3,3,2,3,3,3,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,3,3,3,2,2,3,3,3,3,3,3,4,3,3,3,3,3,4,3,3,4,4,3,3,3,4,3,4,4,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,2,3,2,3,3,3,3,3,3,3,2,1,2,1,3,2,3,2,1,3,2,2,2,2,2,2,2,2,2,2,2,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,1,1,3,1,3,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,2,1,2,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,2,1,1,2,1,2,1,2,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,1,2,1,2,2,2,1,1,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,2,3,3,3,3,3,3,3,3,4,3,3,3,3,2,3,3,3,3,4,3,3,4,3,3,3,3,3,3,4,3,3,3,3,3,3,3,3,3,3,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,3,3,3,3,3,3,3,3,3,3,3,1,3,3,3,3,3,3,2,3,3,3,3,3,3,3,2,2,3,3,3,3,3,2,3,2,2,2,3,3,3,3,3,3,3],"ducted":[0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]}}