// Code generated by cmd/pextgen/main.go; DO NOT EDIT.
//
// To regenerate this file:
//   go run cmd/pextgen/main.go

package bitset

// pextLUT contains pre-computed parallel bit extraction results
var pextLUT = [256][256]uint8{
	{
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
		0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1,
	}, {
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
		0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2, 0, 0, 1, 2,
	}, {
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
		0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3, 0, 1, 1, 3,
	},
	{
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
		0, 0, 0, 0, 1, 2, 2, 4, 0, 0, 0, 0, 1, 2, 2, 4,
	}, {
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
		0, 1, 0, 1, 1, 3, 2, 5, 0, 1, 0, 1, 1, 3, 2, 5,
	}, {
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
		0, 0, 1, 2, 1, 2, 3, 6, 0, 0, 1, 2, 1, 2, 3, 6,
	}, {
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
		0, 1, 1, 3, 1, 3, 3, 7, 0, 1, 1, 3, 1, 3, 3, 7,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
		0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 4, 2, 4, 4, 8,
	}, {
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
		0, 1, 0, 1, 0, 1, 0, 1, 1, 3, 2, 5, 2, 5, 4, 9,
	}, {
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
		0, 0, 1, 2, 0, 0, 1, 2, 1, 2, 3, 6, 2, 4, 5, 10,
	}, {
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
	},
	{
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
	}, {
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
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	}, {
		0, 1, 1, 3, 0, 1, 1, 3, 1, 3, 3, 7, 2, 5, 5, 11,
		1, 3, 3, 7, 2, 5, 5, 11, 3, 7, 7, 15, 6, 13, 13, 27,
		1, 3, 3, 7, 2, 5, 5, 11, 3, 7, 7, 15, 6, 13, 13, 27,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		1, 3, 3, 7, 2, 5, 5, 11, 3, 7, 7, 15, 6, 13, 13, 27,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		7, 15, 15, 31, 14, 29, 29, 59, 15, 31, 31, 63, 30, 61, 61, 123,
		1, 3, 3, 7, 2, 5, 5, 11, 3, 7, 7, 15, 6, 13, 13, 27,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		7, 15, 15, 31, 14, 29, 29, 59, 15, 31, 31, 63, 30, 61, 61, 123,
		3, 7, 7, 15, 6, 13, 13, 27, 7, 15, 15, 31, 14, 29, 29, 59,
		7, 15, 15, 31, 14, 29, 29, 59, 15, 31, 31, 63, 30, 61, 61, 123,
		7, 15, 15, 31, 14, 29, 29, 59, 15, 31, 31, 63, 30, 61, 61, 123,
		15, 31, 31, 63, 30, 61, 61, 123, 31, 63, 63, 127, 62, 125, 125, 251,
	},
	{
		0, 0, 0, 0, 1, 2, 2, 4, 1, 2, 2, 4, 3, 6, 6, 12,
		1, 2, 2, 4, 3, 6, 6, 12, 3, 6, 6, 12, 7, 14, 14, 28,
		1, 2, 2, 4, 3, 6, 6, 12, 3, 6, 6, 12, 7, 14, 14, 28,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		1, 2, 2, 4, 3, 6, 6, 12, 3, 6, 6, 12, 7, 14, 14, 28,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		7, 14, 14, 28, 15, 30, 30, 60, 15, 30, 30, 60, 31, 62, 62, 124,
		1, 2, 2, 4, 3, 6, 6, 12, 3, 6, 6, 12, 7, 14, 14, 28,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		7, 14, 14, 28, 15, 30, 30, 60, 15, 30, 30, 60, 31, 62, 62, 124,
		3, 6, 6, 12, 7, 14, 14, 28, 7, 14, 14, 28, 15, 30, 30, 60,
		7, 14, 14, 28, 15, 30, 30, 60, 15, 30, 30, 60, 31, 62, 62, 124,
		7, 14, 14, 28, 15, 30, 30, 60, 15, 30, 30, 60, 31, 62, 62, 124,
		15, 30, 30, 60, 31, 62, 62, 124, 31, 62, 62, 124, 63, 126, 126, 252,
	}, {
		0, 1, 0, 1, 1, 3, 2, 5, 1, 3, 2, 5, 3, 7, 6, 13,
		1, 3, 2, 5, 3, 7, 6, 13, 3, 7, 6, 13, 7, 15, 14, 29,
		1, 3, 2, 5, 3, 7, 6, 13, 3, 7, 6, 13, 7, 15, 14, 29,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		1, 3, 2, 5, 3, 7, 6, 13, 3, 7, 6, 13, 7, 15, 14, 29,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		7, 15, 14, 29, 15, 31, 30, 61, 15, 31, 30, 61, 31, 63, 62, 125,
		1, 3, 2, 5, 3, 7, 6, 13, 3, 7, 6, 13, 7, 15, 14, 29,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		7, 15, 14, 29, 15, 31, 30, 61, 15, 31, 30, 61, 31, 63, 62, 125,
		3, 7, 6, 13, 7, 15, 14, 29, 7, 15, 14, 29, 15, 31, 30, 61,
		7, 15, 14, 29, 15, 31, 30, 61, 15, 31, 30, 61, 31, 63, 62, 125,
		7, 15, 14, 29, 15, 31, 30, 61, 15, 31, 30, 61, 31, 63, 62, 125,
		15, 31, 30, 61, 31, 63, 62, 125, 31, 63, 62, 125, 63, 127, 126, 253,
	}, {
		0, 0, 1, 2, 1, 2, 3, 6, 1, 2, 3, 6, 3, 6, 7, 14,
		1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30,
		1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		7, 14, 15, 30, 15, 30, 31, 62, 15, 30, 31, 62, 31, 62, 63, 126,
		1, 2, 3, 6, 3, 6, 7, 14, 3, 6, 7, 14, 7, 14, 15, 30,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		7, 14, 15, 30, 15, 30, 31, 62, 15, 30, 31, 62, 31, 62, 63, 126,
		3, 6, 7, 14, 7, 14, 15, 30, 7, 14, 15, 30, 15, 30, 31, 62,
		7, 14, 15, 30, 15, 30, 31, 62, 15, 30, 31, 62, 31, 62, 63, 126,
		7, 14, 15, 30, 15, 30, 31, 62, 15, 30, 31, 62, 31, 62, 63, 126,
		15, 30, 31, 62, 31, 62, 63, 126, 31, 62, 63, 126, 63, 126, 127, 254,
	}, {
		0, 1, 1, 3, 1, 3, 3, 7, 1, 3, 3, 7, 3, 7, 7, 15,
		1, 3, 3, 7, 3, 7, 7, 15, 3, 7, 7, 15, 7, 15, 15, 31,
		1, 3, 3, 7, 3, 7, 7, 15, 3, 7, 7, 15, 7, 15, 15, 31,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		1, 3, 3, 7, 3, 7, 7, 15, 3, 7, 7, 15, 7, 15, 15, 31,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		7, 15, 15, 31, 15, 31, 31, 63, 15, 31, 31, 63, 31, 63, 63, 127,
		1, 3, 3, 7, 3, 7, 7, 15, 3, 7, 7, 15, 7, 15, 15, 31,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		7, 15, 15, 31, 15, 31, 31, 63, 15, 31, 31, 63, 31, 63, 63, 127,
		3, 7, 7, 15, 7, 15, 15, 31, 7, 15, 15, 31, 15, 31, 31, 63,
		7, 15, 15, 31, 15, 31, 31, 63, 15, 31, 31, 63, 31, 63, 63, 127,
		7, 15, 15, 31, 15, 31, 31, 63, 15, 31, 31, 63, 31, 63, 63, 127,
		15, 31, 31, 63, 31, 63, 63, 127, 31, 63, 63, 127, 63, 127, 127, 255,
	},
}

// pdepLUT contains pre-computed parallel bit deposit results
var pdepLUT = [256][256]uint8{
	{
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0,
		0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		128, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
	}, {
		0, 0, 0, 2, 0, 4, 4, 2, 0, 8, 8, 2, 8, 4, 4, 2,
		0, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 128, 128, 2, 128, 4, 4, 2, 128, 8, 8, 2, 8, 4, 4, 2,
		128, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
	}, {
		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 3,
		16, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 3,
		144, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		160, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		192, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 8, 8, 4,
		0, 0, 0, 16, 0, 16, 16, 4, 0, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 32, 0, 32, 32, 4, 0, 32, 32, 8, 32, 8, 8, 4,
		0, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 64, 0, 64, 64, 4, 0, 64, 64, 8, 64, 8, 8, 4,
		0, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 4,
		0, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
		64, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 128, 0, 128, 128, 4, 0, 128, 128, 8, 128, 8, 8, 4,
		0, 128, 128, 16, 128, 16, 16, 4, 128, 16, 16, 8, 16, 8, 8, 4,
		0, 128, 128, 32, 128, 32, 32, 4, 128, 32, 32, 8, 32, 8, 8, 4,
		128, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 128, 128, 64, 128, 64, 64, 4, 128, 64, 64, 8, 64, 8, 8, 4,
		128, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 4,
		128, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
		64, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
	}, {
		0, 1, 2, 1, 4, 1, 2, 5, 8, 1, 2, 9, 4, 9, 10, 5,
		16, 1, 2, 17, 4, 17, 18, 5, 8, 17, 18, 9, 20, 9, 10, 5,
		32, 1, 2, 33, 4, 33, 34, 5, 8, 33, 34, 9, 36, 9, 10, 5,
		16, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		64, 1, 2, 65, 4, 65, 66, 5, 8, 65, 66, 9, 68, 9, 10, 5,
		16, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 5,
		32, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 5,
		80, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		128, 1, 2, 129, 4, 129, 130, 5, 8, 129, 130, 9, 132, 9, 10, 5,
		16, 129, 130, 17, 132, 17, 18, 5, 136, 17, 18, 9, 20, 9, 10, 5,
		32, 129, 130, 33, 132, 33, 34, 5, 136, 33, 34, 9, 36, 9, 10, 5,
		144, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		64, 129, 130, 65, 132, 65, 66, 5, 136, 65, 66, 9, 68, 9, 10, 5,
		144, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 5,
		160, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 5,
		80, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
	}, {
		0, 0, 0, 2, 0, 4, 4, 6, 0, 8, 8, 10, 8, 12, 12, 6,
		0, 16, 16, 18, 16, 20, 20, 6, 16, 24, 24, 10, 24, 12, 12, 6,
		0, 32, 32, 34, 32, 36, 36, 6, 32, 40, 40, 10, 40, 12, 12, 6,
		32, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		0, 64, 64, 66, 64, 68, 68, 6, 64, 72, 72, 10, 72, 12, 12, 6,
		64, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 6,
		64, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
		96, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		0, 128, 128, 130, 128, 132, 132, 6, 128, 136, 136, 10, 136, 12, 12, 6,
		128, 144, 144, 18, 144, 20, 20, 6, 144, 24, 24, 10, 24, 12, 12, 6,
		128, 160, 160, 34, 160, 36, 36, 6, 160, 40, 40, 10, 40, 12, 12, 6,
		160, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		128, 192, 192, 66, 192, 68, 68, 6, 192, 72, 72, 10, 72, 12, 12, 6,
		192, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 6,
		192, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
		96, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
	}, {
		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 7,
		16, 17, 18, 19, 20, 21, 22, 7, 24, 25, 26, 11, 28, 13, 14, 7,
		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 7,
		48, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 7,
		80, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		96, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		128, 129, 130, 131, 132, 133, 134, 7, 136, 137, 138, 11, 140, 13, 14, 7,
		144, 145, 146, 19, 148, 21, 22, 7, 152, 25, 26, 11, 28, 13, 14, 7,
		160, 161, 162, 35, 164, 37, 38, 7, 168, 41, 42, 11, 44, 13, 14, 7,
		176, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		192, 193, 194, 67, 196, 69, 70, 7, 200, 73, 74, 11, 76, 13, 14, 7,
		208, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		224, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8,
		0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 16, 16, 8,
		0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 32, 32, 8,
		0, 0, 0, 32, 0, 32, 32, 16, 0, 32, 32, 16, 32, 16, 16, 8,
		0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, 0, 64, 64, 8,
		0, 0, 0, 64, 0, 64, 64, 16, 0, 64, 64, 16, 64, 16, 16, 8,
		0, 0, 0, 64, 0, 64, 64, 32, 0, 64, 64, 32, 64, 32, 32, 8,
		0, 64, 64, 32, 64, 32, 32, 16, 64, 32, 32, 16, 32, 16, 16, 8,
		0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 128, 0, 128, 128, 8,
		0, 0, 0, 128, 0, 128, 128, 16, 0, 128, 128, 16, 128, 16, 16, 8,
		0, 0, 0, 128, 0, 128, 128, 32, 0, 128, 128, 32, 128, 32, 32, 8,
		0, 128, 128, 32, 128, 32, 32, 16, 128, 32, 32, 16, 32, 16, 16, 8,
		0, 0, 0, 128, 0, 128, 128, 64, 0, 128, 128, 64, 128, 64, 64, 8,
		0, 128, 128, 64, 128, 64, 64, 16, 128, 64, 64, 16, 64, 16, 16, 8,
		0, 128, 128, 64, 128, 64, 64, 32, 128, 64, 64, 32, 64, 32, 32, 8,
		128, 64, 64, 32, 64, 32, 32, 16, 64, 32, 32, 16, 32, 16, 16, 8,
	}, {
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		16, 1, 2, 33, 4, 33, 34, 17, 8, 33, 34, 17, 36, 17, 18, 9,
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		16, 65, 66, 33, 68, 33, 34, 17, 72, 33, 34, 17, 36, 17, 18, 9,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 9,
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		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 10,
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		64, 32, 32, 66, 32, 68, 68, 34, 32, 72, 72, 34, 72, 36, 36, 10,
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		128, 32, 32, 130, 32, 132, 132, 34, 32, 136, 136, 34, 136, 36, 36, 10,
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		128, 64, 64, 130, 64, 132, 132, 66, 64, 136, 136, 66, 136, 68, 68, 10,
		64, 144, 144, 66, 144, 68, 68, 18, 144, 72, 72, 18, 72, 20, 20, 10,
		64, 160, 160, 66, 160, 68, 68, 34, 160, 72, 72, 34, 72, 36, 36, 10,
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		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 11,
		48, 17, 18, 35, 20, 37, 38, 19, 24, 41, 42, 19, 44, 21, 22, 11,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 11,
		80, 17, 18, 67, 20, 69, 70, 19, 24, 73, 74, 19, 76, 21, 22, 11,
		96, 33, 34, 67, 36, 69, 70, 35, 40, 73, 74, 35, 76, 37, 38, 11,
		48, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 11,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 11,
		144, 17, 18, 131, 20, 133, 134, 19, 24, 137, 138, 19, 140, 21, 22, 11,
		160, 33, 34, 131, 36, 133, 134, 35, 40, 137, 138, 35, 140, 37, 38, 11,
		48, 145, 146, 35, 148, 37, 38, 19, 152, 41, 42, 19, 44, 21, 22, 11,
		192, 65, 66, 131, 68, 133, 134, 67, 72, 137, 138, 67, 140, 69, 70, 11,
		80, 145, 146, 67, 148, 69, 70, 19, 152, 73, 74, 19, 76, 21, 22, 11,
		96, 161, 162, 67, 164, 69, 70, 35, 168, 73, 74, 35, 76, 37, 38, 11,
		176, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 11,
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		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 12,
		0, 32, 32, 48, 32, 48, 48, 20, 32, 48, 48, 24, 48, 24, 24, 12,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 12,
		0, 64, 64, 80, 64, 80, 80, 20, 64, 80, 80, 24, 80, 24, 24, 12,
		0, 64, 64, 96, 64, 96, 96, 36, 64, 96, 96, 40, 96, 40, 40, 12,
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		0, 0, 0, 128, 0, 128, 128, 132, 0, 128, 128, 136, 128, 136, 136, 12,
		0, 128, 128, 144, 128, 144, 144, 20, 128, 144, 144, 24, 144, 24, 24, 12,
		0, 128, 128, 160, 128, 160, 160, 36, 128, 160, 160, 40, 160, 40, 40, 12,
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		0, 128, 128, 192, 128, 192, 192, 68, 128, 192, 192, 72, 192, 72, 72, 12,
		128, 192, 192, 80, 192, 80, 80, 20, 192, 80, 80, 24, 80, 24, 24, 12,
		128, 192, 192, 96, 192, 96, 96, 36, 192, 96, 96, 40, 96, 40, 40, 12,
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		32, 1, 2, 33, 4, 33, 34, 37, 8, 33, 34, 41, 36, 41, 42, 13,
		16, 33, 34, 49, 36, 49, 50, 21, 40, 49, 50, 25, 52, 25, 26, 13,
		64, 1, 2, 65, 4, 65, 66, 69, 8, 65, 66, 73, 68, 73, 74, 13,
		16, 65, 66, 81, 68, 81, 82, 21, 72, 81, 82, 25, 84, 25, 26, 13,
		32, 65, 66, 97, 68, 97, 98, 37, 72, 97, 98, 41, 100, 41, 42, 13,
		80, 97, 98, 49, 100, 49, 50, 21, 104, 49, 50, 25, 52, 25, 26, 13,
		128, 1, 2, 129, 4, 129, 130, 133, 8, 129, 130, 137, 132, 137, 138, 13,
		16, 129, 130, 145, 132, 145, 146, 21, 136, 145, 146, 25, 148, 25, 26, 13,
		32, 129, 130, 161, 132, 161, 162, 37, 136, 161, 162, 41, 164, 41, 42, 13,
		144, 161, 162, 49, 164, 49, 50, 21, 168, 49, 50, 25, 52, 25, 26, 13,
		64, 129, 130, 193, 132, 193, 194, 69, 136, 193, 194, 73, 196, 73, 74, 13,
		144, 193, 194, 81, 196, 81, 82, 21, 200, 81, 82, 25, 84, 25, 26, 13,
		160, 193, 194, 97, 196, 97, 98, 37, 200, 97, 98, 41, 100, 41, 42, 13,
		208, 97, 98, 49, 100, 49, 50, 21, 104, 49, 50, 25, 52, 25, 26, 13,
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		0, 32, 32, 34, 32, 36, 36, 38, 32, 40, 40, 42, 40, 44, 44, 14,
		32, 48, 48, 50, 48, 52, 52, 22, 48, 56, 56, 26, 56, 28, 28, 14,
		0, 64, 64, 66, 64, 68, 68, 70, 64, 72, 72, 74, 72, 76, 76, 14,
		64, 80, 80, 82, 80, 84, 84, 22, 80, 88, 88, 26, 88, 28, 28, 14,
		64, 96, 96, 98, 96, 100, 100, 38, 96, 104, 104, 42, 104, 44, 44, 14,
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		0, 128, 128, 130, 128, 132, 132, 134, 128, 136, 136, 138, 136, 140, 140, 14,
		128, 144, 144, 146, 144, 148, 148, 22, 144, 152, 152, 26, 152, 28, 28, 14,
		128, 160, 160, 162, 160, 164, 164, 38, 160, 168, 168, 42, 168, 44, 44, 14,
		160, 176, 176, 50, 176, 52, 52, 22, 176, 56, 56, 26, 56, 28, 28, 14,
		128, 192, 192, 194, 192, 196, 196, 70, 192, 200, 200, 74, 200, 76, 76, 14,
		192, 208, 208, 82, 208, 84, 84, 22, 208, 88, 88, 26, 88, 28, 28, 14,
		192, 224, 224, 98, 224, 100, 100, 38, 224, 104, 104, 42, 104, 44, 44, 14,
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		32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 15,
		48, 49, 50, 51, 52, 53, 54, 23, 56, 57, 58, 27, 60, 29, 30, 15,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 15,
		80, 81, 82, 83, 84, 85, 86, 23, 88, 89, 90, 27, 92, 29, 30, 15,
		96, 97, 98, 99, 100, 101, 102, 39, 104, 105, 106, 43, 108, 45, 46, 15,
		112, 113, 114, 51, 116, 53, 54, 23, 120, 57, 58, 27, 60, 29, 30, 15,
		128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 15,
		144, 145, 146, 147, 148, 149, 150, 23, 152, 153, 154, 27, 156, 29, 30, 15,
		160, 161, 162, 163, 164, 165, 166, 39, 168, 169, 170, 43, 172, 45, 46, 15,
		176, 177, 178, 51, 180, 53, 54, 23, 184, 57, 58, 27, 60, 29, 30, 15,
		192, 193, 194, 195, 196, 197, 198, 71, 200, 201, 202, 75, 204, 77, 78, 15,
		208, 209, 210, 83, 212, 85, 86, 23, 216, 89, 90, 27, 92, 29, 30, 15,
		224, 225, 226, 99, 228, 101, 102, 39, 232, 105, 106, 43, 108, 45, 46, 15,
		240, 113, 114, 51, 116, 53, 54, 23, 120, 57, 58, 27, 60, 29, 30, 15,
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		16, 1, 2, 65, 4, 65, 66, 33, 8, 65, 66, 33, 68, 33, 34, 17,
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		16, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 17,
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		16, 1, 2, 129, 4, 129, 130, 33, 8, 129, 130, 33, 132, 33, 34, 17,
		64, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 65,
		16, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 17,
		32, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 33,
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		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 34,
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		64, 32, 32, 2, 32, 4, 4, 66, 32, 8, 8, 66, 8, 68, 68, 34,
		32, 16, 16, 66, 16, 68, 68, 34, 16, 72, 72, 34, 72, 36, 36, 18,
		0, 128, 128, 2, 128, 4, 4, 2, 128, 8, 8, 2, 8, 4, 4, 130,
		128, 16, 16, 2, 16, 4, 4, 130, 16, 8, 8, 130, 8, 132, 132, 18,
		128, 32, 32, 2, 32, 4, 4, 130, 32, 8, 8, 130, 8, 132, 132, 34,
		32, 16, 16, 130, 16, 132, 132, 34, 16, 136, 136, 34, 136, 36, 36, 18,
		128, 64, 64, 2, 64, 4, 4, 130, 64, 8, 8, 130, 8, 132, 132, 66,
		64, 16, 16, 130, 16, 132, 132, 66, 16, 136, 136, 66, 136, 68, 68, 18,
		64, 32, 32, 130, 32, 132, 132, 66, 32, 136, 136, 66, 136, 68, 68, 34,
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		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 35,
		48, 17, 18, 3, 20, 5, 6, 35, 24, 9, 10, 35, 12, 37, 38, 19,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 67,
		80, 17, 18, 3, 20, 5, 6, 67, 24, 9, 10, 67, 12, 69, 70, 19,
		96, 33, 34, 3, 36, 5, 6, 67, 40, 9, 10, 67, 12, 69, 70, 35,
		48, 17, 18, 67, 20, 69, 70, 35, 24, 73, 74, 35, 76, 37, 38, 19,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 131,
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		160, 33, 34, 3, 36, 5, 6, 131, 40, 9, 10, 131, 12, 133, 134, 35,
		48, 17, 18, 131, 20, 133, 134, 35, 24, 137, 138, 35, 140, 37, 38, 19,
		192, 65, 66, 3, 68, 5, 6, 131, 72, 9, 10, 131, 12, 133, 134, 67,
		80, 17, 18, 131, 20, 133, 134, 67, 24, 137, 138, 67, 140, 69, 70, 19,
		96, 33, 34, 131, 36, 133, 134, 67, 40, 137, 138, 67, 140, 69, 70, 35,
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		0, 64, 64, 16, 64, 16, 16, 68, 64, 16, 16, 72, 16, 72, 72, 20,
		0, 64, 64, 32, 64, 32, 32, 68, 64, 32, 32, 72, 32, 72, 72, 36,
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		0, 0, 0, 128, 0, 128, 128, 4, 0, 128, 128, 8, 128, 8, 8, 132,
		0, 128, 128, 16, 128, 16, 16, 132, 128, 16, 16, 136, 16, 136, 136, 20,
		0, 128, 128, 32, 128, 32, 32, 132, 128, 32, 32, 136, 32, 136, 136, 36,
		128, 32, 32, 144, 32, 144, 144, 36, 32, 144, 144, 40, 144, 40, 40, 20,
		0, 128, 128, 64, 128, 64, 64, 132, 128, 64, 64, 136, 64, 136, 136, 68,
		128, 64, 64, 144, 64, 144, 144, 68, 64, 144, 144, 72, 144, 72, 72, 20,
		128, 64, 64, 160, 64, 160, 160, 68, 64, 160, 160, 72, 160, 72, 72, 36,
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		32, 1, 2, 33, 4, 33, 34, 5, 8, 33, 34, 9, 36, 9, 10, 37,
		16, 33, 34, 17, 36, 17, 18, 37, 40, 17, 18, 41, 20, 41, 42, 21,
		64, 1, 2, 65, 4, 65, 66, 5, 8, 65, 66, 9, 68, 9, 10, 69,
		16, 65, 66, 17, 68, 17, 18, 69, 72, 17, 18, 73, 20, 73, 74, 21,
		32, 65, 66, 33, 68, 33, 34, 69, 72, 33, 34, 73, 36, 73, 74, 37,
		80, 33, 34, 81, 36, 81, 82, 37, 40, 81, 82, 41, 84, 41, 42, 21,
		128, 1, 2, 129, 4, 129, 130, 5, 8, 129, 130, 9, 132, 9, 10, 133,
		16, 129, 130, 17, 132, 17, 18, 133, 136, 17, 18, 137, 20, 137, 138, 21,
		32, 129, 130, 33, 132, 33, 34, 133, 136, 33, 34, 137, 36, 137, 138, 37,
		144, 33, 34, 145, 36, 145, 146, 37, 40, 145, 146, 41, 148, 41, 42, 21,
		64, 129, 130, 65, 132, 65, 66, 133, 136, 65, 66, 137, 68, 137, 138, 69,
		144, 65, 66, 145, 68, 145, 146, 69, 72, 145, 146, 73, 148, 73, 74, 21,
		160, 65, 66, 161, 68, 161, 162, 69, 72, 161, 162, 73, 164, 73, 74, 37,
		80, 161, 162, 81, 164, 81, 82, 37, 168, 81, 82, 41, 84, 41, 42, 21,
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		0, 32, 32, 34, 32, 36, 36, 6, 32, 40, 40, 10, 40, 12, 12, 38,
		32, 48, 48, 18, 48, 20, 20, 38, 48, 24, 24, 42, 24, 44, 44, 22,
		0, 64, 64, 66, 64, 68, 68, 6, 64, 72, 72, 10, 72, 12, 12, 70,
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		64, 96, 96, 34, 96, 36, 36, 70, 96, 40, 40, 74, 40, 76, 76, 38,
		96, 48, 48, 82, 48, 84, 84, 38, 48, 88, 88, 42, 88, 44, 44, 22,
		0, 128, 128, 130, 128, 132, 132, 6, 128, 136, 136, 10, 136, 12, 12, 134,
		128, 144, 144, 18, 144, 20, 20, 134, 144, 24, 24, 138, 24, 140, 140, 22,
		128, 160, 160, 34, 160, 36, 36, 134, 160, 40, 40, 138, 40, 140, 140, 38,
		160, 48, 48, 146, 48, 148, 148, 38, 48, 152, 152, 42, 152, 44, 44, 22,
		128, 192, 192, 66, 192, 68, 68, 134, 192, 72, 72, 138, 72, 140, 140, 70,
		192, 80, 80, 146, 80, 148, 148, 70, 80, 152, 152, 74, 152, 76, 76, 22,
		192, 96, 96, 162, 96, 164, 164, 70, 96, 168, 168, 74, 168, 76, 76, 38,
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		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 39,
		48, 49, 50, 19, 52, 21, 22, 39, 56, 25, 26, 43, 28, 45, 46, 23,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 71,
		80, 81, 82, 19, 84, 21, 22, 71, 88, 25, 26, 75, 28, 77, 78, 23,
		96, 97, 98, 35, 100, 37, 38, 71, 104, 41, 42, 75, 44, 77, 78, 39,
		112, 49, 50, 83, 52, 85, 86, 39, 56, 89, 90, 43, 92, 45, 46, 23,
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		208, 81, 82, 147, 84, 149, 150, 71, 88, 153, 154, 75, 156, 77, 78, 23,
		224, 97, 98, 163, 100, 165, 166, 71, 104, 169, 170, 75, 172, 77, 78, 39,
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		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 43,
		48, 17, 18, 35, 20, 37, 38, 51, 24, 41, 42, 51, 44, 53, 54, 27,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 75,
		80, 17, 18, 67, 20, 69, 70, 83, 24, 73, 74, 83, 76, 85, 86, 27,
		96, 33, 34, 67, 36, 69, 70, 99, 40, 73, 74, 99, 76, 101, 102, 43,
		48, 81, 82, 99, 84, 101, 102, 51, 88, 105, 106, 51, 108, 53, 54, 27,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 139,
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		160, 33, 34, 131, 36, 133, 134, 163, 40, 137, 138, 163, 140, 165, 166, 43,
		48, 145, 146, 163, 148, 165, 166, 51, 152, 169, 170, 51, 172, 53, 54, 27,
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		80, 145, 146, 195, 148, 197, 198, 83, 152, 201, 202, 83, 204, 85, 86, 27,
		96, 161, 162, 195, 164, 197, 198, 99, 168, 201, 202, 99, 204, 101, 102, 43,
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		48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 31,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
		80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 31,
		96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 47,
		112, 113, 114, 115, 116, 117, 118, 55, 120, 121, 122, 59, 124, 61, 62, 31,
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		160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 47,
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		224, 225, 226, 227, 228, 229, 230, 103, 232, 233, 234, 107, 236, 109, 110, 47,
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		16, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 33,
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		32, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 65,
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		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
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		128, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 130,
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		128, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 130,
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		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 35,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
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		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 67,
		48, 17, 18, 3, 20, 5, 6, 67, 24, 9, 10, 67, 12, 69, 70, 35,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 3,
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		160, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 131,
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		0, 128, 128, 32, 128, 32, 32, 4, 128, 32, 32, 8, 32, 8, 8, 132,
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		0, 128, 128, 64, 128, 64, 64, 4, 128, 64, 64, 8, 64, 8, 8, 132,
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		128, 64, 64, 32, 64, 32, 32, 132, 64, 32, 32, 136, 32, 136, 136, 68,
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		0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 65,
		128, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		16, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 65,
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		0, 0, 0, 2, 0, 4, 4, 2, 0, 8, 8, 2, 8, 4, 4, 2,
		0, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 66,
		0, 128, 128, 2, 128, 4, 4, 2, 128, 8, 8, 2, 8, 4, 4, 2,
		128, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 130,
		128, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 130,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 130,
		32, 16, 16, 2, 16, 4, 4, 130, 16, 8, 8, 130, 8, 132, 132, 66,
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		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 3,
		16, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 67,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 3,
		144, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		160, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 131,
		192, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 131,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 131,
		48, 17, 18, 3, 20, 5, 6, 131, 24, 9, 10, 131, 12, 133, 134, 67,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 8, 8, 4,
		0, 0, 0, 16, 0, 16, 16, 4, 0, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 32, 0, 32, 32, 4, 0, 32, 32, 8, 32, 8, 8, 4,
		0, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 64, 0, 64, 64, 4, 0, 64, 64, 8, 64, 8, 8, 4,
		0, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 4,
		0, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
		64, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 68,
		0, 0, 0, 128, 0, 128, 128, 4, 0, 128, 128, 8, 128, 8, 8, 4,
		0, 128, 128, 16, 128, 16, 16, 4, 128, 16, 16, 8, 16, 8, 8, 4,
		0, 128, 128, 32, 128, 32, 32, 4, 128, 32, 32, 8, 32, 8, 8, 4,
		128, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 132,
		0, 128, 128, 64, 128, 64, 64, 4, 128, 64, 64, 8, 64, 8, 8, 4,
		128, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 132,
		128, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 132,
		64, 32, 32, 16, 32, 16, 16, 132, 32, 16, 16, 136, 16, 136, 136, 68,
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		0, 1, 2, 1, 4, 1, 2, 5, 8, 1, 2, 9, 4, 9, 10, 5,
		16, 1, 2, 17, 4, 17, 18, 5, 8, 17, 18, 9, 20, 9, 10, 5,
		32, 1, 2, 33, 4, 33, 34, 5, 8, 33, 34, 9, 36, 9, 10, 5,
		16, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		64, 1, 2, 65, 4, 65, 66, 5, 8, 65, 66, 9, 68, 9, 10, 5,
		16, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 5,
		32, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 5,
		80, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 69,
		128, 1, 2, 129, 4, 129, 130, 5, 8, 129, 130, 9, 132, 9, 10, 5,
		16, 129, 130, 17, 132, 17, 18, 5, 136, 17, 18, 9, 20, 9, 10, 5,
		32, 129, 130, 33, 132, 33, 34, 5, 136, 33, 34, 9, 36, 9, 10, 5,
		144, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 133,
		64, 129, 130, 65, 132, 65, 66, 5, 136, 65, 66, 9, 68, 9, 10, 5,
		144, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 133,
		160, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 133,
		80, 33, 34, 17, 36, 17, 18, 133, 40, 17, 18, 137, 20, 137, 138, 69,
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		0, 0, 0, 2, 0, 4, 4, 6, 0, 8, 8, 10, 8, 12, 12, 6,
		0, 16, 16, 18, 16, 20, 20, 6, 16, 24, 24, 10, 24, 12, 12, 6,
		0, 32, 32, 34, 32, 36, 36, 6, 32, 40, 40, 10, 40, 12, 12, 6,
		32, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		0, 64, 64, 66, 64, 68, 68, 6, 64, 72, 72, 10, 72, 12, 12, 6,
		64, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 6,
		64, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
		96, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 70,
		0, 128, 128, 130, 128, 132, 132, 6, 128, 136, 136, 10, 136, 12, 12, 6,
		128, 144, 144, 18, 144, 20, 20, 6, 144, 24, 24, 10, 24, 12, 12, 6,
		128, 160, 160, 34, 160, 36, 36, 6, 160, 40, 40, 10, 40, 12, 12, 6,
		160, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 134,
		128, 192, 192, 66, 192, 68, 68, 6, 192, 72, 72, 10, 72, 12, 12, 6,
		192, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 134,
		192, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 134,
		96, 48, 48, 18, 48, 20, 20, 134, 48, 24, 24, 138, 24, 140, 140, 70,
	}, {
		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 7,
		16, 17, 18, 19, 20, 21, 22, 7, 24, 25, 26, 11, 28, 13, 14, 7,
		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 7,
		48, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 7,
		80, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		96, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 71,
		128, 129, 130, 131, 132, 133, 134, 7, 136, 137, 138, 11, 140, 13, 14, 7,
		144, 145, 146, 19, 148, 21, 22, 7, 152, 25, 26, 11, 28, 13, 14, 7,
		160, 161, 162, 35, 164, 37, 38, 7, 168, 41, 42, 11, 44, 13, 14, 7,
		176, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 135,
		192, 193, 194, 67, 196, 69, 70, 7, 200, 73, 74, 11, 76, 13, 14, 7,
		208, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 135,
		224, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 135,
		112, 49, 50, 19, 52, 21, 22, 135, 56, 25, 26, 139, 28, 141, 142, 71,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8,
		0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 16, 16, 8,
		0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 32, 32, 8,
		0, 0, 0, 32, 0, 32, 32, 16, 0, 32, 32, 16, 32, 16, 16, 8,
		0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, 0, 64, 64, 8,
		0, 0, 0, 64, 0, 64, 64, 16, 0, 64, 64, 16, 64, 16, 16, 8,
		0, 0, 0, 64, 0, 64, 64, 32, 0, 64, 64, 32, 64, 32, 32, 8,
		0, 64, 64, 32, 64, 32, 32, 16, 64, 32, 32, 16, 32, 16, 16, 72,
		0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 128, 0, 128, 128, 8,
		0, 0, 0, 128, 0, 128, 128, 16, 0, 128, 128, 16, 128, 16, 16, 8,
		0, 0, 0, 128, 0, 128, 128, 32, 0, 128, 128, 32, 128, 32, 32, 8,
		0, 128, 128, 32, 128, 32, 32, 16, 128, 32, 32, 16, 32, 16, 16, 136,
		0, 0, 0, 128, 0, 128, 128, 64, 0, 128, 128, 64, 128, 64, 64, 8,
		0, 128, 128, 64, 128, 64, 64, 16, 128, 64, 64, 16, 64, 16, 16, 136,
		0, 128, 128, 64, 128, 64, 64, 32, 128, 64, 64, 32, 64, 32, 32, 136,
		128, 64, 64, 32, 64, 32, 32, 144, 64, 32, 32, 144, 32, 144, 144, 72,
	}, {
		0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 9,
		16, 1, 2, 1, 4, 1, 2, 17, 8, 1, 2, 17, 4, 17, 18, 9,
		32, 1, 2, 1, 4, 1, 2, 33, 8, 1, 2, 33, 4, 33, 34, 9,
		16, 1, 2, 33, 4, 33, 34, 17, 8, 33, 34, 17, 36, 17, 18, 9,
		64, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 9,
		16, 1, 2, 65, 4, 65, 66, 17, 8, 65, 66, 17, 68, 17, 18, 9,
		32, 1, 2, 65, 4, 65, 66, 33, 8, 65, 66, 33, 68, 33, 34, 9,
		16, 65, 66, 33, 68, 33, 34, 17, 72, 33, 34, 17, 36, 17, 18, 73,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 9,
		16, 1, 2, 129, 4, 129, 130, 17, 8, 129, 130, 17, 132, 17, 18, 9,
		32, 1, 2, 129, 4, 129, 130, 33, 8, 129, 130, 33, 132, 33, 34, 9,
		16, 129, 130, 33, 132, 33, 34, 17, 136, 33, 34, 17, 36, 17, 18, 137,
		64, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 9,
		16, 129, 130, 65, 132, 65, 66, 17, 136, 65, 66, 17, 68, 17, 18, 137,
		32, 129, 130, 65, 132, 65, 66, 33, 136, 65, 66, 33, 68, 33, 34, 137,
		144, 65, 66, 33, 68, 33, 34, 145, 72, 33, 34, 145, 36, 145, 146, 73,
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		0, 0, 0, 2, 0, 4, 4, 2, 0, 8, 8, 2, 8, 4, 4, 10,
		0, 16, 16, 2, 16, 4, 4, 18, 16, 8, 8, 18, 8, 20, 20, 10,
		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 10,
		32, 16, 16, 34, 16, 36, 36, 18, 16, 40, 40, 18, 40, 20, 20, 10,
		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 10,
		64, 16, 16, 66, 16, 68, 68, 18, 16, 72, 72, 18, 72, 20, 20, 10,
		64, 32, 32, 66, 32, 68, 68, 34, 32, 72, 72, 34, 72, 36, 36, 10,
		32, 80, 80, 34, 80, 36, 36, 18, 80, 40, 40, 18, 40, 20, 20, 74,
		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 10,
		128, 16, 16, 130, 16, 132, 132, 18, 16, 136, 136, 18, 136, 20, 20, 10,
		128, 32, 32, 130, 32, 132, 132, 34, 32, 136, 136, 34, 136, 36, 36, 10,
		32, 144, 144, 34, 144, 36, 36, 18, 144, 40, 40, 18, 40, 20, 20, 138,
		128, 64, 64, 130, 64, 132, 132, 66, 64, 136, 136, 66, 136, 68, 68, 10,
		64, 144, 144, 66, 144, 68, 68, 18, 144, 72, 72, 18, 72, 20, 20, 138,
		64, 160, 160, 66, 160, 68, 68, 34, 160, 72, 72, 34, 72, 36, 36, 138,
		160, 80, 80, 34, 80, 36, 36, 146, 80, 40, 40, 146, 40, 148, 148, 74,
	}, {
		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 11,
		16, 17, 18, 3, 20, 5, 6, 19, 24, 9, 10, 19, 12, 21, 22, 11,
		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 11,
		48, 17, 18, 35, 20, 37, 38, 19, 24, 41, 42, 19, 44, 21, 22, 11,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 11,
		80, 17, 18, 67, 20, 69, 70, 19, 24, 73, 74, 19, 76, 21, 22, 11,
		96, 33, 34, 67, 36, 69, 70, 35, 40, 73, 74, 35, 76, 37, 38, 11,
		48, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 75,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 11,
		144, 17, 18, 131, 20, 133, 134, 19, 24, 137, 138, 19, 140, 21, 22, 11,
		160, 33, 34, 131, 36, 133, 134, 35, 40, 137, 138, 35, 140, 37, 38, 11,
		48, 145, 146, 35, 148, 37, 38, 19, 152, 41, 42, 19, 44, 21, 22, 139,
		192, 65, 66, 131, 68, 133, 134, 67, 72, 137, 138, 67, 140, 69, 70, 11,
		80, 145, 146, 67, 148, 69, 70, 19, 152, 73, 74, 19, 76, 21, 22, 139,
		96, 161, 162, 67, 164, 69, 70, 35, 168, 73, 74, 35, 76, 37, 38, 139,
		176, 81, 82, 35, 84, 37, 38, 147, 88, 41, 42, 147, 44, 149, 150, 75,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 8, 8, 12,
		0, 0, 0, 16, 0, 16, 16, 20, 0, 16, 16, 24, 16, 24, 24, 12,
		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 12,
		0, 32, 32, 48, 32, 48, 48, 20, 32, 48, 48, 24, 48, 24, 24, 12,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 12,
		0, 64, 64, 80, 64, 80, 80, 20, 64, 80, 80, 24, 80, 24, 24, 12,
		0, 64, 64, 96, 64, 96, 96, 36, 64, 96, 96, 40, 96, 40, 40, 12,
		64, 96, 96, 48, 96, 48, 48, 20, 96, 48, 48, 24, 48, 24, 24, 76,
		0, 0, 0, 128, 0, 128, 128, 132, 0, 128, 128, 136, 128, 136, 136, 12,
		0, 128, 128, 144, 128, 144, 144, 20, 128, 144, 144, 24, 144, 24, 24, 12,
		0, 128, 128, 160, 128, 160, 160, 36, 128, 160, 160, 40, 160, 40, 40, 12,
		128, 160, 160, 48, 160, 48, 48, 20, 160, 48, 48, 24, 48, 24, 24, 140,
		0, 128, 128, 192, 128, 192, 192, 68, 128, 192, 192, 72, 192, 72, 72, 12,
		128, 192, 192, 80, 192, 80, 80, 20, 192, 80, 80, 24, 80, 24, 24, 140,
		128, 192, 192, 96, 192, 96, 96, 36, 192, 96, 96, 40, 96, 40, 40, 140,
		192, 96, 96, 48, 96, 48, 48, 148, 96, 48, 48, 152, 48, 152, 152, 76,
	}, {
		0, 1, 2, 1, 4, 1, 2, 5, 8, 1, 2, 9, 4, 9, 10, 13,
		16, 1, 2, 17, 4, 17, 18, 21, 8, 17, 18, 25, 20, 25, 26, 13,
		32, 1, 2, 33, 4, 33, 34, 37, 8, 33, 34, 41, 36, 41, 42, 13,
		16, 33, 34, 49, 36, 49, 50, 21, 40, 49, 50, 25, 52, 25, 26, 13,
		64, 1, 2, 65, 4, 65, 66, 69, 8, 65, 66, 73, 68, 73, 74, 13,
		16, 65, 66, 81, 68, 81, 82, 21, 72, 81, 82, 25, 84, 25, 26, 13,
		32, 65, 66, 97, 68, 97, 98, 37, 72, 97, 98, 41, 100, 41, 42, 13,
		80, 97, 98, 49, 100, 49, 50, 21, 104, 49, 50, 25, 52, 25, 26, 77,
		128, 1, 2, 129, 4, 129, 130, 133, 8, 129, 130, 137, 132, 137, 138, 13,
		16, 129, 130, 145, 132, 145, 146, 21, 136, 145, 146, 25, 148, 25, 26, 13,
		32, 129, 130, 161, 132, 161, 162, 37, 136, 161, 162, 41, 164, 41, 42, 13,
		144, 161, 162, 49, 164, 49, 50, 21, 168, 49, 50, 25, 52, 25, 26, 141,
		64, 129, 130, 193, 132, 193, 194, 69, 136, 193, 194, 73, 196, 73, 74, 13,
		144, 193, 194, 81, 196, 81, 82, 21, 200, 81, 82, 25, 84, 25, 26, 141,
		160, 193, 194, 97, 196, 97, 98, 37, 200, 97, 98, 41, 100, 41, 42, 141,
		208, 97, 98, 49, 100, 49, 50, 149, 104, 49, 50, 153, 52, 153, 154, 77,
	}, {
		0, 0, 0, 2, 0, 4, 4, 6, 0, 8, 8, 10, 8, 12, 12, 14,
		0, 16, 16, 18, 16, 20, 20, 22, 16, 24, 24, 26, 24, 28, 28, 14,
		0, 32, 32, 34, 32, 36, 36, 38, 32, 40, 40, 42, 40, 44, 44, 14,
		32, 48, 48, 50, 48, 52, 52, 22, 48, 56, 56, 26, 56, 28, 28, 14,
		0, 64, 64, 66, 64, 68, 68, 70, 64, 72, 72, 74, 72, 76, 76, 14,
		64, 80, 80, 82, 80, 84, 84, 22, 80, 88, 88, 26, 88, 28, 28, 14,
		64, 96, 96, 98, 96, 100, 100, 38, 96, 104, 104, 42, 104, 44, 44, 14,
		96, 112, 112, 50, 112, 52, 52, 22, 112, 56, 56, 26, 56, 28, 28, 78,
		0, 128, 128, 130, 128, 132, 132, 134, 128, 136, 136, 138, 136, 140, 140, 14,
		128, 144, 144, 146, 144, 148, 148, 22, 144, 152, 152, 26, 152, 28, 28, 14,
		128, 160, 160, 162, 160, 164, 164, 38, 160, 168, 168, 42, 168, 44, 44, 14,
		160, 176, 176, 50, 176, 52, 52, 22, 176, 56, 56, 26, 56, 28, 28, 142,
		128, 192, 192, 194, 192, 196, 196, 70, 192, 200, 200, 74, 200, 76, 76, 14,
		192, 208, 208, 82, 208, 84, 84, 22, 208, 88, 88, 26, 88, 28, 28, 142,
		192, 224, 224, 98, 224, 100, 100, 38, 224, 104, 104, 42, 104, 44, 44, 142,
		224, 112, 112, 50, 112, 52, 52, 150, 112, 56, 56, 154, 56, 156, 156, 78,
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		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 67,
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		48, 17, 18, 67, 20, 69, 70, 35, 24, 73, 74, 35, 76, 37, 38, 83,
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		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 71,
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		96, 97, 98, 35, 100, 37, 38, 71, 104, 41, 42, 75, 44, 77, 78, 39,
		112, 49, 50, 83, 52, 85, 86, 39, 56, 89, 90, 43, 92, 45, 46, 87,
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		160, 161, 162, 35, 164, 37, 38, 135, 168, 41, 42, 139, 44, 141, 142, 39,
		176, 49, 50, 147, 52, 149, 150, 39, 56, 153, 154, 43, 156, 45, 46, 151,
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		16, 65, 66, 97, 68, 97, 98, 49, 72, 97, 98, 49, 100, 49, 50, 89,
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		32, 1, 2, 129, 4, 129, 130, 161, 8, 129, 130, 161, 132, 161, 162, 41,
		16, 129, 130, 161, 132, 161, 162, 49, 136, 161, 162, 49, 164, 49, 50, 153,
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		16, 129, 130, 193, 132, 193, 194, 81, 136, 193, 194, 81, 196, 81, 82, 153,
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		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 42,
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		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 74,
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		64, 32, 32, 66, 32, 68, 68, 98, 32, 72, 72, 98, 72, 100, 100, 42,
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		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 138,
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		128, 32, 32, 130, 32, 132, 132, 162, 32, 136, 136, 162, 136, 164, 164, 42,
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		64, 144, 144, 194, 144, 196, 196, 82, 144, 200, 200, 82, 200, 84, 84, 154,
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		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 43,
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		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 75,
		80, 17, 18, 67, 20, 69, 70, 83, 24, 73, 74, 83, 76, 85, 86, 27,
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		48, 81, 82, 99, 84, 101, 102, 51, 88, 105, 106, 51, 108, 53, 54, 91,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 139,
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		160, 33, 34, 131, 36, 133, 134, 163, 40, 137, 138, 163, 140, 165, 166, 43,
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		0, 128, 128, 160, 128, 160, 160, 164, 128, 160, 160, 168, 160, 168, 168, 44,
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		0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 9,
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		32, 1, 2, 1, 4, 1, 2, 33, 8, 1, 2, 33, 4, 33, 34, 41,
		16, 1, 2, 33, 4, 33, 34, 49, 8, 33, 34, 49, 36, 49, 50, 57,
		64, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 73,
		16, 1, 2, 65, 4, 65, 66, 81, 8, 65, 66, 81, 68, 81, 82, 89,
		32, 1, 2, 65, 4, 65, 66, 97, 8, 65, 66, 97, 68, 97, 98, 105,
		16, 65, 66, 97, 68, 97, 98, 113, 72, 97, 98, 113, 100, 113, 114, 121,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 137,
		16, 1, 2, 129, 4, 129, 130, 145, 8, 129, 130, 145, 132, 145, 146, 153,
		32, 1, 2, 129, 4, 129, 130, 161, 8, 129, 130, 161, 132, 161, 162, 169,
		16, 129, 130, 161, 132, 161, 162, 177, 136, 161, 162, 177, 164, 177, 178, 185,
		64, 1, 2, 129, 4, 129, 130, 193, 8, 129, 130, 193, 132, 193, 194, 201,
		16, 129, 130, 193, 132, 193, 194, 209, 136, 193, 194, 209, 196, 209, 210, 217,
		32, 129, 130, 193, 132, 193, 194, 225, 136, 193, 194, 225, 196, 225, 226, 233,
		144, 193, 194, 225, 196, 225, 226, 241, 200, 225, 226, 241, 228, 241, 242, 121,
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		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 42,
		32, 16, 16, 34, 16, 36, 36, 50, 16, 40, 40, 50, 40, 52, 52, 58,
		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 74,
		64, 16, 16, 66, 16, 68, 68, 82, 16, 72, 72, 82, 72, 84, 84, 90,
		64, 32, 32, 66, 32, 68, 68, 98, 32, 72, 72, 98, 72, 100, 100, 106,
		32, 80, 80, 98, 80, 100, 100, 114, 80, 104, 104, 114, 104, 116, 116, 122,
		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 138,
		128, 16, 16, 130, 16, 132, 132, 146, 16, 136, 136, 146, 136, 148, 148, 154,
		128, 32, 32, 130, 32, 132, 132, 162, 32, 136, 136, 162, 136, 164, 164, 170,
		32, 144, 144, 162, 144, 164, 164, 178, 144, 168, 168, 178, 168, 180, 180, 186,
		128, 64, 64, 130, 64, 132, 132, 194, 64, 136, 136, 194, 136, 196, 196, 202,
		64, 144, 144, 194, 144, 196, 196, 210, 144, 200, 200, 210, 200, 212, 212, 218,
		64, 160, 160, 194, 160, 196, 196, 226, 160, 200, 200, 226, 200, 228, 228, 234,
		160, 208, 208, 226, 208, 228, 228, 242, 208, 232, 232, 242, 232, 244, 244, 122,
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		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 11,
		16, 17, 18, 3, 20, 5, 6, 19, 24, 9, 10, 19, 12, 21, 22, 27,
		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 43,
		48, 17, 18, 35, 20, 37, 38, 51, 24, 41, 42, 51, 44, 53, 54, 59,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 75,
		80, 17, 18, 67, 20, 69, 70, 83, 24, 73, 74, 83, 76, 85, 86, 91,
		96, 33, 34, 67, 36, 69, 70, 99, 40, 73, 74, 99, 76, 101, 102, 107,
		48, 81, 82, 99, 84, 101, 102, 115, 88, 105, 106, 115, 108, 117, 118, 123,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 139,
		144, 17, 18, 131, 20, 133, 134, 147, 24, 137, 138, 147, 140, 149, 150, 155,
		160, 33, 34, 131, 36, 133, 134, 163, 40, 137, 138, 163, 140, 165, 166, 171,
		48, 145, 146, 163, 148, 165, 166, 179, 152, 169, 170, 179, 172, 181, 182, 187,
		192, 65, 66, 131, 68, 133, 134, 195, 72, 137, 138, 195, 140, 197, 198, 203,
		80, 145, 146, 195, 148, 197, 198, 211, 152, 201, 202, 211, 204, 213, 214, 219,
		96, 161, 162, 195, 164, 197, 198, 227, 168, 201, 202, 227, 204, 229, 230, 235,
		176, 209, 210, 227, 212, 229, 230, 243, 216, 233, 234, 243, 236, 245, 246, 123,
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	{
		0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 8, 8, 12,
		0, 0, 0, 16, 0, 16, 16, 20, 0, 16, 16, 24, 16, 24, 24, 28,
		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 44,
		0, 32, 32, 48, 32, 48, 48, 52, 32, 48, 48, 56, 48, 56, 56, 60,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 76,
		0, 64, 64, 80, 64, 80, 80, 84, 64, 80, 80, 88, 80, 88, 88, 92,
		0, 64, 64, 96, 64, 96, 96, 100, 64, 96, 96, 104, 96, 104, 104, 108,
		64, 96, 96, 112, 96, 112, 112, 116, 96, 112, 112, 120, 112, 120, 120, 124,
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		0, 128, 128, 144, 128, 144, 144, 148, 128, 144, 144, 152, 144, 152, 152, 156,
		0, 128, 128, 160, 128, 160, 160, 164, 128, 160, 160, 168, 160, 168, 168, 172,
		128, 160, 160, 176, 160, 176, 176, 180, 160, 176, 176, 184, 176, 184, 184, 188,
		0, 128, 128, 192, 128, 192, 192, 196, 128, 192, 192, 200, 192, 200, 200, 204,
		128, 192, 192, 208, 192, 208, 208, 212, 192, 208, 208, 216, 208, 216, 216, 220,
		128, 192, 192, 224, 192, 224, 224, 228, 192, 224, 224, 232, 224, 232, 232, 236,
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		0, 1, 2, 1, 4, 1, 2, 5, 8, 1, 2, 9, 4, 9, 10, 13,
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		32, 1, 2, 33, 4, 33, 34, 37, 8, 33, 34, 41, 36, 41, 42, 45,
		16, 33, 34, 49, 36, 49, 50, 53, 40, 49, 50, 57, 52, 57, 58, 61,
		64, 1, 2, 65, 4, 65, 66, 69, 8, 65, 66, 73, 68, 73, 74, 77,
		16, 65, 66, 81, 68, 81, 82, 85, 72, 81, 82, 89, 84, 89, 90, 93,
		32, 65, 66, 97, 68, 97, 98, 101, 72, 97, 98, 105, 100, 105, 106, 109,
		80, 97, 98, 113, 100, 113, 114, 117, 104, 113, 114, 121, 116, 121, 122, 125,
		128, 1, 2, 129, 4, 129, 130, 133, 8, 129, 130, 137, 132, 137, 138, 141,
		16, 129, 130, 145, 132, 145, 146, 149, 136, 145, 146, 153, 148, 153, 154, 157,
		32, 129, 130, 161, 132, 161, 162, 165, 136, 161, 162, 169, 164, 169, 170, 173,
		144, 161, 162, 177, 164, 177, 178, 181, 168, 177, 178, 185, 180, 185, 186, 189,
		64, 129, 130, 193, 132, 193, 194, 197, 136, 193, 194, 201, 196, 201, 202, 205,
		144, 193, 194, 209, 196, 209, 210, 213, 200, 209, 210, 217, 212, 217, 218, 221,
		160, 193, 194, 225, 196, 225, 226, 229, 200, 225, 226, 233, 228, 233, 234, 237,
		208, 225, 226, 241, 228, 241, 242, 245, 232, 241, 242, 249, 244, 249, 250, 125,
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		0, 0, 0, 2, 0, 4, 4, 6, 0, 8, 8, 10, 8, 12, 12, 14,
		0, 16, 16, 18, 16, 20, 20, 22, 16, 24, 24, 26, 24, 28, 28, 30,
		0, 32, 32, 34, 32, 36, 36, 38, 32, 40, 40, 42, 40, 44, 44, 46,
		32, 48, 48, 50, 48, 52, 52, 54, 48, 56, 56, 58, 56, 60, 60, 62,
		0, 64, 64, 66, 64, 68, 68, 70, 64, 72, 72, 74, 72, 76, 76, 78,
		64, 80, 80, 82, 80, 84, 84, 86, 80, 88, 88, 90, 88, 92, 92, 94,
		64, 96, 96, 98, 96, 100, 100, 102, 96, 104, 104, 106, 104, 108, 108, 110,
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		0, 128, 128, 130, 128, 132, 132, 134, 128, 136, 136, 138, 136, 140, 140, 142,
		128, 144, 144, 146, 144, 148, 148, 150, 144, 152, 152, 154, 152, 156, 156, 158,
		128, 160, 160, 162, 160, 164, 164, 166, 160, 168, 168, 170, 168, 172, 172, 174,
		160, 176, 176, 178, 176, 180, 180, 182, 176, 184, 184, 186, 184, 188, 188, 190,
		128, 192, 192, 194, 192, 196, 196, 198, 192, 200, 200, 202, 200, 204, 204, 206,
		192, 208, 208, 210, 208, 212, 212, 214, 208, 216, 216, 218, 216, 220, 220, 222,
		192, 224, 224, 226, 224, 228, 228, 230, 224, 232, 232, 234, 232, 236, 236, 238,
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		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
		16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
		32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
		48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
		80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
		96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
		112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,
		128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
		144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159,
		160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175,
		176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
		192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207,
		208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
		224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239,
		240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 127,
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		0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
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		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		128, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
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		0, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		0, 128, 128, 2, 128, 4, 4, 2, 128, 8, 8, 2, 8, 4, 4, 2,
		128, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 130,
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		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 3,
		16, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 3,
		144, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		160, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		192, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 131,
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	{
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		0, 0, 0, 32, 0, 32, 32, 4, 0, 32, 32, 8, 32, 8, 8, 4,
		0, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 64, 0, 64, 64, 4, 0, 64, 64, 8, 64, 8, 8, 4,
		0, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 4,
		0, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
		64, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 0, 0, 128, 0, 128, 128, 4, 0, 128, 128, 8, 128, 8, 8, 4,
		0, 128, 128, 16, 128, 16, 16, 4, 128, 16, 16, 8, 16, 8, 8, 4,
		0, 128, 128, 32, 128, 32, 32, 4, 128, 32, 32, 8, 32, 8, 8, 4,
		128, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 4,
		0, 128, 128, 64, 128, 64, 64, 4, 128, 64, 64, 8, 64, 8, 8, 4,
		128, 64, 64, 16, 64, 16, 16, 4, 64, 16, 16, 8, 16, 8, 8, 4,
		128, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
		64, 32, 32, 16, 32, 16, 16, 4, 32, 16, 16, 8, 16, 8, 8, 132,
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		32, 1, 2, 33, 4, 33, 34, 5, 8, 33, 34, 9, 36, 9, 10, 5,
		16, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		64, 1, 2, 65, 4, 65, 66, 5, 8, 65, 66, 9, 68, 9, 10, 5,
		16, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 5,
		32, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 5,
		80, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		128, 1, 2, 129, 4, 129, 130, 5, 8, 129, 130, 9, 132, 9, 10, 5,
		16, 129, 130, 17, 132, 17, 18, 5, 136, 17, 18, 9, 20, 9, 10, 5,
		32, 129, 130, 33, 132, 33, 34, 5, 136, 33, 34, 9, 36, 9, 10, 5,
		144, 33, 34, 17, 36, 17, 18, 5, 40, 17, 18, 9, 20, 9, 10, 5,
		64, 129, 130, 65, 132, 65, 66, 5, 136, 65, 66, 9, 68, 9, 10, 5,
		144, 65, 66, 17, 68, 17, 18, 5, 72, 17, 18, 9, 20, 9, 10, 5,
		160, 65, 66, 33, 68, 33, 34, 5, 72, 33, 34, 9, 36, 9, 10, 5,
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		0, 32, 32, 34, 32, 36, 36, 6, 32, 40, 40, 10, 40, 12, 12, 6,
		32, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		0, 64, 64, 66, 64, 68, 68, 6, 64, 72, 72, 10, 72, 12, 12, 6,
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		64, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
		96, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		0, 128, 128, 130, 128, 132, 132, 6, 128, 136, 136, 10, 136, 12, 12, 6,
		128, 144, 144, 18, 144, 20, 20, 6, 144, 24, 24, 10, 24, 12, 12, 6,
		128, 160, 160, 34, 160, 36, 36, 6, 160, 40, 40, 10, 40, 12, 12, 6,
		160, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 6,
		128, 192, 192, 66, 192, 68, 68, 6, 192, 72, 72, 10, 72, 12, 12, 6,
		192, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 6,
		192, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
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		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 7,
		48, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 7,
		80, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		96, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		128, 129, 130, 131, 132, 133, 134, 7, 136, 137, 138, 11, 140, 13, 14, 7,
		144, 145, 146, 19, 148, 21, 22, 7, 152, 25, 26, 11, 28, 13, 14, 7,
		160, 161, 162, 35, 164, 37, 38, 7, 168, 41, 42, 11, 44, 13, 14, 7,
		176, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		192, 193, 194, 67, 196, 69, 70, 7, 200, 73, 74, 11, 76, 13, 14, 7,
		208, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		224, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 135,
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		0, 128, 128, 64, 128, 64, 64, 32, 128, 64, 64, 32, 64, 32, 32, 8,
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		16, 1, 2, 33, 4, 33, 34, 17, 8, 33, 34, 17, 36, 17, 18, 9,
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		16, 65, 66, 33, 68, 33, 34, 17, 72, 33, 34, 17, 36, 17, 18, 9,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 9,
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		16, 129, 130, 65, 132, 65, 66, 17, 136, 65, 66, 17, 68, 17, 18, 9,
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		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 10,
		32, 16, 16, 34, 16, 36, 36, 18, 16, 40, 40, 18, 40, 20, 20, 10,
		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 10,
		64, 16, 16, 66, 16, 68, 68, 18, 16, 72, 72, 18, 72, 20, 20, 10,
		64, 32, 32, 66, 32, 68, 68, 34, 32, 72, 72, 34, 72, 36, 36, 10,
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		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 10,
		128, 16, 16, 130, 16, 132, 132, 18, 16, 136, 136, 18, 136, 20, 20, 10,
		128, 32, 32, 130, 32, 132, 132, 34, 32, 136, 136, 34, 136, 36, 36, 10,
		32, 144, 144, 34, 144, 36, 36, 18, 144, 40, 40, 18, 40, 20, 20, 10,
		128, 64, 64, 130, 64, 132, 132, 66, 64, 136, 136, 66, 136, 68, 68, 10,
		64, 144, 144, 66, 144, 68, 68, 18, 144, 72, 72, 18, 72, 20, 20, 10,
		64, 160, 160, 66, 160, 68, 68, 34, 160, 72, 72, 34, 72, 36, 36, 10,
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		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 11,
		48, 17, 18, 35, 20, 37, 38, 19, 24, 41, 42, 19, 44, 21, 22, 11,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 11,
		80, 17, 18, 67, 20, 69, 70, 19, 24, 73, 74, 19, 76, 21, 22, 11,
		96, 33, 34, 67, 36, 69, 70, 35, 40, 73, 74, 35, 76, 37, 38, 11,
		48, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 11,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 11,
		144, 17, 18, 131, 20, 133, 134, 19, 24, 137, 138, 19, 140, 21, 22, 11,
		160, 33, 34, 131, 36, 133, 134, 35, 40, 137, 138, 35, 140, 37, 38, 11,
		48, 145, 146, 35, 148, 37, 38, 19, 152, 41, 42, 19, 44, 21, 22, 11,
		192, 65, 66, 131, 68, 133, 134, 67, 72, 137, 138, 67, 140, 69, 70, 11,
		80, 145, 146, 67, 148, 69, 70, 19, 152, 73, 74, 19, 76, 21, 22, 11,
		96, 161, 162, 67, 164, 69, 70, 35, 168, 73, 74, 35, 76, 37, 38, 11,
		176, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 139,
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	{
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		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 12,
		0, 32, 32, 48, 32, 48, 48, 20, 32, 48, 48, 24, 48, 24, 24, 12,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 12,
		0, 64, 64, 80, 64, 80, 80, 20, 64, 80, 80, 24, 80, 24, 24, 12,
		0, 64, 64, 96, 64, 96, 96, 36, 64, 96, 96, 40, 96, 40, 40, 12,
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		0, 0, 0, 128, 0, 128, 128, 132, 0, 128, 128, 136, 128, 136, 136, 12,
		0, 128, 128, 144, 128, 144, 144, 20, 128, 144, 144, 24, 144, 24, 24, 12,
		0, 128, 128, 160, 128, 160, 160, 36, 128, 160, 160, 40, 160, 40, 40, 12,
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		0, 128, 128, 192, 128, 192, 192, 68, 128, 192, 192, 72, 192, 72, 72, 12,
		128, 192, 192, 80, 192, 80, 80, 20, 192, 80, 80, 24, 80, 24, 24, 12,
		128, 192, 192, 96, 192, 96, 96, 36, 192, 96, 96, 40, 96, 40, 40, 12,
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		32, 1, 2, 33, 4, 33, 34, 37, 8, 33, 34, 41, 36, 41, 42, 13,
		16, 33, 34, 49, 36, 49, 50, 21, 40, 49, 50, 25, 52, 25, 26, 13,
		64, 1, 2, 65, 4, 65, 66, 69, 8, 65, 66, 73, 68, 73, 74, 13,
		16, 65, 66, 81, 68, 81, 82, 21, 72, 81, 82, 25, 84, 25, 26, 13,
		32, 65, 66, 97, 68, 97, 98, 37, 72, 97, 98, 41, 100, 41, 42, 13,
		80, 97, 98, 49, 100, 49, 50, 21, 104, 49, 50, 25, 52, 25, 26, 13,
		128, 1, 2, 129, 4, 129, 130, 133, 8, 129, 130, 137, 132, 137, 138, 13,
		16, 129, 130, 145, 132, 145, 146, 21, 136, 145, 146, 25, 148, 25, 26, 13,
		32, 129, 130, 161, 132, 161, 162, 37, 136, 161, 162, 41, 164, 41, 42, 13,
		144, 161, 162, 49, 164, 49, 50, 21, 168, 49, 50, 25, 52, 25, 26, 13,
		64, 129, 130, 193, 132, 193, 194, 69, 136, 193, 194, 73, 196, 73, 74, 13,
		144, 193, 194, 81, 196, 81, 82, 21, 200, 81, 82, 25, 84, 25, 26, 13,
		160, 193, 194, 97, 196, 97, 98, 37, 200, 97, 98, 41, 100, 41, 42, 13,
		208, 97, 98, 49, 100, 49, 50, 21, 104, 49, 50, 25, 52, 25, 26, 141,
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		0, 16, 16, 18, 16, 20, 20, 22, 16, 24, 24, 26, 24, 28, 28, 14,
		0, 32, 32, 34, 32, 36, 36, 38, 32, 40, 40, 42, 40, 44, 44, 14,
		32, 48, 48, 50, 48, 52, 52, 22, 48, 56, 56, 26, 56, 28, 28, 14,
		0, 64, 64, 66, 64, 68, 68, 70, 64, 72, 72, 74, 72, 76, 76, 14,
		64, 80, 80, 82, 80, 84, 84, 22, 80, 88, 88, 26, 88, 28, 28, 14,
		64, 96, 96, 98, 96, 100, 100, 38, 96, 104, 104, 42, 104, 44, 44, 14,
		96, 112, 112, 50, 112, 52, 52, 22, 112, 56, 56, 26, 56, 28, 28, 14,
		0, 128, 128, 130, 128, 132, 132, 134, 128, 136, 136, 138, 136, 140, 140, 14,
		128, 144, 144, 146, 144, 148, 148, 22, 144, 152, 152, 26, 152, 28, 28, 14,
		128, 160, 160, 162, 160, 164, 164, 38, 160, 168, 168, 42, 168, 44, 44, 14,
		160, 176, 176, 50, 176, 52, 52, 22, 176, 56, 56, 26, 56, 28, 28, 14,
		128, 192, 192, 194, 192, 196, 196, 70, 192, 200, 200, 74, 200, 76, 76, 14,
		192, 208, 208, 82, 208, 84, 84, 22, 208, 88, 88, 26, 88, 28, 28, 14,
		192, 224, 224, 98, 224, 100, 100, 38, 224, 104, 104, 42, 104, 44, 44, 14,
		224, 112, 112, 50, 112, 52, 52, 22, 112, 56, 56, 26, 56, 28, 28, 142,
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		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
		16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 15,
		32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 15,
		48, 49, 50, 51, 52, 53, 54, 23, 56, 57, 58, 27, 60, 29, 30, 15,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 15,
		80, 81, 82, 83, 84, 85, 86, 23, 88, 89, 90, 27, 92, 29, 30, 15,
		96, 97, 98, 99, 100, 101, 102, 39, 104, 105, 106, 43, 108, 45, 46, 15,
		112, 113, 114, 51, 116, 53, 54, 23, 120, 57, 58, 27, 60, 29, 30, 15,
		128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 15,
		144, 145, 146, 147, 148, 149, 150, 23, 152, 153, 154, 27, 156, 29, 30, 15,
		160, 161, 162, 163, 164, 165, 166, 39, 168, 169, 170, 43, 172, 45, 46, 15,
		176, 177, 178, 51, 180, 53, 54, 23, 184, 57, 58, 27, 60, 29, 30, 15,
		192, 193, 194, 195, 196, 197, 198, 71, 200, 201, 202, 75, 204, 77, 78, 15,
		208, 209, 210, 83, 212, 85, 86, 23, 216, 89, 90, 27, 92, 29, 30, 15,
		224, 225, 226, 99, 228, 101, 102, 39, 232, 105, 106, 43, 108, 45, 46, 15,
		240, 113, 114, 51, 116, 53, 54, 23, 120, 57, 58, 27, 60, 29, 30, 143,
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		16, 1, 2, 1, 4, 1, 2, 33, 8, 1, 2, 33, 4, 33, 34, 17,
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		16, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 17,
		32, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 33,
		16, 1, 2, 65, 4, 65, 66, 33, 8, 65, 66, 33, 68, 33, 34, 17,
		128, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		16, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 17,
		32, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 33,
		16, 1, 2, 129, 4, 129, 130, 33, 8, 129, 130, 33, 132, 33, 34, 17,
		64, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 65,
		16, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 17,
		32, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 33,
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		0, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 34,
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		0, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 66,
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		64, 32, 32, 2, 32, 4, 4, 66, 32, 8, 8, 66, 8, 68, 68, 34,
		32, 16, 16, 66, 16, 68, 68, 34, 16, 72, 72, 34, 72, 36, 36, 18,
		0, 128, 128, 2, 128, 4, 4, 2, 128, 8, 8, 2, 8, 4, 4, 130,
		128, 16, 16, 2, 16, 4, 4, 130, 16, 8, 8, 130, 8, 132, 132, 18,
		128, 32, 32, 2, 32, 4, 4, 130, 32, 8, 8, 130, 8, 132, 132, 34,
		32, 16, 16, 130, 16, 132, 132, 34, 16, 136, 136, 34, 136, 36, 36, 18,
		128, 64, 64, 2, 64, 4, 4, 130, 64, 8, 8, 130, 8, 132, 132, 66,
		64, 16, 16, 130, 16, 132, 132, 66, 16, 136, 136, 66, 136, 68, 68, 18,
		64, 32, 32, 130, 32, 132, 132, 66, 32, 136, 136, 66, 136, 68, 68, 34,
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		16, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 19,
		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 35,
		48, 17, 18, 3, 20, 5, 6, 35, 24, 9, 10, 35, 12, 37, 38, 19,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 67,
		80, 17, 18, 3, 20, 5, 6, 67, 24, 9, 10, 67, 12, 69, 70, 19,
		96, 33, 34, 3, 36, 5, 6, 67, 40, 9, 10, 67, 12, 69, 70, 35,
		48, 17, 18, 67, 20, 69, 70, 35, 24, 73, 74, 35, 76, 37, 38, 19,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 131,
		144, 17, 18, 3, 20, 5, 6, 131, 24, 9, 10, 131, 12, 133, 134, 19,
		160, 33, 34, 3, 36, 5, 6, 131, 40, 9, 10, 131, 12, 133, 134, 35,
		48, 17, 18, 131, 20, 133, 134, 35, 24, 137, 138, 35, 140, 37, 38, 19,
		192, 65, 66, 3, 68, 5, 6, 131, 72, 9, 10, 131, 12, 133, 134, 67,
		80, 17, 18, 131, 20, 133, 134, 67, 24, 137, 138, 67, 140, 69, 70, 19,
		96, 33, 34, 131, 36, 133, 134, 67, 40, 137, 138, 67, 140, 69, 70, 35,
		48, 145, 146, 67, 148, 69, 70, 35, 152, 73, 74, 35, 76, 37, 38, 147,
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		0, 32, 32, 16, 32, 16, 16, 36, 32, 16, 16, 40, 16, 40, 40, 20,
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		0, 64, 64, 16, 64, 16, 16, 68, 64, 16, 16, 72, 16, 72, 72, 20,
		0, 64, 64, 32, 64, 32, 32, 68, 64, 32, 32, 72, 32, 72, 72, 36,
		64, 32, 32, 80, 32, 80, 80, 36, 32, 80, 80, 40, 80, 40, 40, 20,
		0, 0, 0, 128, 0, 128, 128, 4, 0, 128, 128, 8, 128, 8, 8, 132,
		0, 128, 128, 16, 128, 16, 16, 132, 128, 16, 16, 136, 16, 136, 136, 20,
		0, 128, 128, 32, 128, 32, 32, 132, 128, 32, 32, 136, 32, 136, 136, 36,
		128, 32, 32, 144, 32, 144, 144, 36, 32, 144, 144, 40, 144, 40, 40, 20,
		0, 128, 128, 64, 128, 64, 64, 132, 128, 64, 64, 136, 64, 136, 136, 68,
		128, 64, 64, 144, 64, 144, 144, 68, 64, 144, 144, 72, 144, 72, 72, 20,
		128, 64, 64, 160, 64, 160, 160, 68, 64, 160, 160, 72, 160, 72, 72, 36,
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		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
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		80, 17, 18, 3, 20, 5, 6, 131, 24, 9, 10, 131, 12, 133, 134, 67,
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		48, 81, 82, 35, 84, 37, 38, 83, 88, 41, 42, 83, 44, 85, 86, 43,
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		80, 145, 146, 67, 148, 69, 70, 147, 152, 73, 74, 147, 76, 149, 150, 75,
		96, 161, 162, 67, 164, 69, 70, 163, 168, 73, 74, 163, 76, 165, 166, 75,
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		32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
		48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
		80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
		96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
		112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 63,
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		208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 95,
		224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 111,
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		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 65,
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		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		64, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 1,
		16, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
		32, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 129,
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		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
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		128, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 2,
		128, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 2,
		32, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 130,
		128, 64, 64, 2, 64, 4, 4, 2, 64, 8, 8, 2, 8, 4, 4, 2,
		64, 16, 16, 2, 16, 4, 4, 2, 16, 8, 8, 2, 8, 4, 4, 130,
		64, 32, 32, 2, 32, 4, 4, 2, 32, 8, 8, 2, 8, 4, 4, 130,
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		32, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		64, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 67,
		128, 129, 130, 3, 132, 5, 6, 3, 136, 9, 10, 3, 12, 5, 6, 3,
		144, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 3,
		160, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 3,
		48, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 131,
		192, 65, 66, 3, 68, 5, 6, 3, 72, 9, 10, 3, 12, 5, 6, 3,
		80, 17, 18, 3, 20, 5, 6, 3, 24, 9, 10, 3, 12, 5, 6, 131,
		96, 33, 34, 3, 36, 5, 6, 3, 40, 9, 10, 3, 12, 5, 6, 131,
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		0, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 4,
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		128, 64, 64, 32, 64, 32, 32, 4, 64, 32, 32, 8, 32, 8, 8, 132,
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		0, 32, 32, 34, 32, 36, 36, 6, 32, 40, 40, 10, 40, 12, 12, 6,
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		0, 64, 64, 66, 64, 68, 68, 6, 64, 72, 72, 10, 72, 12, 12, 6,
		64, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 6,
		64, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 6,
		96, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 70,
		0, 128, 128, 130, 128, 132, 132, 6, 128, 136, 136, 10, 136, 12, 12, 6,
		128, 144, 144, 18, 144, 20, 20, 6, 144, 24, 24, 10, 24, 12, 12, 6,
		128, 160, 160, 34, 160, 36, 36, 6, 160, 40, 40, 10, 40, 12, 12, 6,
		160, 48, 48, 18, 48, 20, 20, 6, 48, 24, 24, 10, 24, 12, 12, 134,
		128, 192, 192, 66, 192, 68, 68, 6, 192, 72, 72, 10, 72, 12, 12, 6,
		192, 80, 80, 18, 80, 20, 20, 6, 80, 24, 24, 10, 24, 12, 12, 134,
		192, 96, 96, 34, 96, 36, 36, 6, 96, 40, 40, 10, 40, 12, 12, 134,
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		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 7,
		48, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 7,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 7,
		80, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 7,
		96, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 7,
		112, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 71,
		128, 129, 130, 131, 132, 133, 134, 7, 136, 137, 138, 11, 140, 13, 14, 7,
		144, 145, 146, 19, 148, 21, 22, 7, 152, 25, 26, 11, 28, 13, 14, 7,
		160, 161, 162, 35, 164, 37, 38, 7, 168, 41, 42, 11, 44, 13, 14, 7,
		176, 49, 50, 19, 52, 21, 22, 7, 56, 25, 26, 11, 28, 13, 14, 135,
		192, 193, 194, 67, 196, 69, 70, 7, 200, 73, 74, 11, 76, 13, 14, 7,
		208, 81, 82, 19, 84, 21, 22, 7, 88, 25, 26, 11, 28, 13, 14, 135,
		224, 97, 98, 35, 100, 37, 38, 7, 104, 41, 42, 11, 44, 13, 14, 135,
		112, 49, 50, 19, 52, 21, 22, 135, 56, 25, 26, 139, 28, 141, 142, 199,
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		0, 128, 128, 64, 128, 64, 64, 16, 128, 64, 64, 16, 64, 16, 16, 136,
		0, 128, 128, 64, 128, 64, 64, 32, 128, 64, 64, 32, 64, 32, 32, 136,
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		32, 1, 2, 1, 4, 1, 2, 33, 8, 1, 2, 33, 4, 33, 34, 9,
		16, 1, 2, 33, 4, 33, 34, 17, 8, 33, 34, 17, 36, 17, 18, 9,
		64, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 9,
		16, 1, 2, 65, 4, 65, 66, 17, 8, 65, 66, 17, 68, 17, 18, 9,
		32, 1, 2, 65, 4, 65, 66, 33, 8, 65, 66, 33, 68, 33, 34, 9,
		16, 65, 66, 33, 68, 33, 34, 17, 72, 33, 34, 17, 36, 17, 18, 73,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 9,
		16, 1, 2, 129, 4, 129, 130, 17, 8, 129, 130, 17, 132, 17, 18, 9,
		32, 1, 2, 129, 4, 129, 130, 33, 8, 129, 130, 33, 132, 33, 34, 9,
		16, 129, 130, 33, 132, 33, 34, 17, 136, 33, 34, 17, 36, 17, 18, 137,
		64, 1, 2, 129, 4, 129, 130, 65, 8, 129, 130, 65, 132, 65, 66, 9,
		16, 129, 130, 65, 132, 65, 66, 17, 136, 65, 66, 17, 68, 17, 18, 137,
		32, 129, 130, 65, 132, 65, 66, 33, 136, 65, 66, 33, 68, 33, 34, 137,
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		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 10,
		32, 16, 16, 34, 16, 36, 36, 18, 16, 40, 40, 18, 40, 20, 20, 10,
		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 10,
		64, 16, 16, 66, 16, 68, 68, 18, 16, 72, 72, 18, 72, 20, 20, 10,
		64, 32, 32, 66, 32, 68, 68, 34, 32, 72, 72, 34, 72, 36, 36, 10,
		32, 80, 80, 34, 80, 36, 36, 18, 80, 40, 40, 18, 40, 20, 20, 74,
		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 10,
		128, 16, 16, 130, 16, 132, 132, 18, 16, 136, 136, 18, 136, 20, 20, 10,
		128, 32, 32, 130, 32, 132, 132, 34, 32, 136, 136, 34, 136, 36, 36, 10,
		32, 144, 144, 34, 144, 36, 36, 18, 144, 40, 40, 18, 40, 20, 20, 138,
		128, 64, 64, 130, 64, 132, 132, 66, 64, 136, 136, 66, 136, 68, 68, 10,
		64, 144, 144, 66, 144, 68, 68, 18, 144, 72, 72, 18, 72, 20, 20, 138,
		64, 160, 160, 66, 160, 68, 68, 34, 160, 72, 72, 34, 72, 36, 36, 138,
		160, 80, 80, 34, 80, 36, 36, 146, 80, 40, 40, 146, 40, 148, 148, 202,
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		16, 17, 18, 3, 20, 5, 6, 19, 24, 9, 10, 19, 12, 21, 22, 11,
		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 11,
		48, 17, 18, 35, 20, 37, 38, 19, 24, 41, 42, 19, 44, 21, 22, 11,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 11,
		80, 17, 18, 67, 20, 69, 70, 19, 24, 73, 74, 19, 76, 21, 22, 11,
		96, 33, 34, 67, 36, 69, 70, 35, 40, 73, 74, 35, 76, 37, 38, 11,
		48, 81, 82, 35, 84, 37, 38, 19, 88, 41, 42, 19, 44, 21, 22, 75,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 11,
		144, 17, 18, 131, 20, 133, 134, 19, 24, 137, 138, 19, 140, 21, 22, 11,
		160, 33, 34, 131, 36, 133, 134, 35, 40, 137, 138, 35, 140, 37, 38, 11,
		48, 145, 146, 35, 148, 37, 38, 19, 152, 41, 42, 19, 44, 21, 22, 139,
		192, 65, 66, 131, 68, 133, 134, 67, 72, 137, 138, 67, 140, 69, 70, 11,
		80, 145, 146, 67, 148, 69, 70, 19, 152, 73, 74, 19, 76, 21, 22, 139,
		96, 161, 162, 67, 164, 69, 70, 35, 168, 73, 74, 35, 76, 37, 38, 139,
		176, 81, 82, 35, 84, 37, 38, 147, 88, 41, 42, 147, 44, 149, 150, 203,
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		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 12,
		0, 32, 32, 48, 32, 48, 48, 20, 32, 48, 48, 24, 48, 24, 24, 12,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 12,
		0, 64, 64, 80, 64, 80, 80, 20, 64, 80, 80, 24, 80, 24, 24, 12,
		0, 64, 64, 96, 64, 96, 96, 36, 64, 96, 96, 40, 96, 40, 40, 12,
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		0, 0, 0, 128, 0, 128, 128, 132, 0, 128, 128, 136, 128, 136, 136, 12,
		0, 128, 128, 144, 128, 144, 144, 20, 128, 144, 144, 24, 144, 24, 24, 12,
		0, 128, 128, 160, 128, 160, 160, 36, 128, 160, 160, 40, 160, 40, 40, 12,
		128, 160, 160, 48, 160, 48, 48, 20, 160, 48, 48, 24, 48, 24, 24, 140,
		0, 128, 128, 192, 128, 192, 192, 68, 128, 192, 192, 72, 192, 72, 72, 12,
		128, 192, 192, 80, 192, 80, 80, 20, 192, 80, 80, 24, 80, 24, 24, 140,
		128, 192, 192, 96, 192, 96, 96, 36, 192, 96, 96, 40, 96, 40, 40, 140,
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		96, 176, 176, 210, 176, 212, 212, 230, 176, 216, 216, 234, 216, 236, 236, 246,
	}, {
		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 7,
		16, 17, 18, 19, 20, 21, 22, 7, 24, 25, 26, 11, 28, 13, 14, 23,
		32, 33, 34, 35, 36, 37, 38, 7, 40, 41, 42, 11, 44, 13, 14, 39,
		48, 49, 50, 19, 52, 21, 22, 39, 56, 25, 26, 43, 28, 45, 46, 55,
		64, 65, 66, 67, 68, 69, 70, 7, 72, 73, 74, 11, 76, 13, 14, 71,
		80, 81, 82, 19, 84, 21, 22, 71, 88, 25, 26, 75, 28, 77, 78, 87,
		96, 97, 98, 35, 100, 37, 38, 71, 104, 41, 42, 75, 44, 77, 78, 103,
		112, 49, 50, 83, 52, 85, 86, 103, 56, 89, 90, 107, 92, 109, 110, 119,
		128, 129, 130, 131, 132, 133, 134, 7, 136, 137, 138, 11, 140, 13, 14, 135,
		144, 145, 146, 19, 148, 21, 22, 135, 152, 25, 26, 139, 28, 141, 142, 151,
		160, 161, 162, 35, 164, 37, 38, 135, 168, 41, 42, 139, 44, 141, 142, 167,
		176, 49, 50, 147, 52, 149, 150, 167, 56, 153, 154, 171, 156, 173, 174, 183,
		192, 193, 194, 67, 196, 69, 70, 135, 200, 73, 74, 139, 76, 141, 142, 199,
		208, 81, 82, 147, 84, 149, 150, 199, 88, 153, 154, 203, 156, 205, 206, 215,
		224, 97, 98, 163, 100, 165, 166, 199, 104, 169, 170, 203, 172, 205, 206, 231,
		112, 177, 178, 211, 180, 213, 214, 231, 184, 217, 218, 235, 220, 237, 238, 247,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8,
		0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 16, 16, 24,
		0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 32, 0, 32, 32, 40,
		0, 0, 0, 32, 0, 32, 32, 48, 0, 32, 32, 48, 32, 48, 48, 56,
		0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 64, 0, 64, 64, 72,
		0, 0, 0, 64, 0, 64, 64, 80, 0, 64, 64, 80, 64, 80, 80, 88,
		0, 0, 0, 64, 0, 64, 64, 96, 0, 64, 64, 96, 64, 96, 96, 104,
		0, 64, 64, 96, 64, 96, 96, 112, 64, 96, 96, 112, 96, 112, 112, 120,
		0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 128, 0, 128, 128, 136,
		0, 0, 0, 128, 0, 128, 128, 144, 0, 128, 128, 144, 128, 144, 144, 152,
		0, 0, 0, 128, 0, 128, 128, 160, 0, 128, 128, 160, 128, 160, 160, 168,
		0, 128, 128, 160, 128, 160, 160, 176, 128, 160, 160, 176, 160, 176, 176, 184,
		0, 0, 0, 128, 0, 128, 128, 192, 0, 128, 128, 192, 128, 192, 192, 200,
		0, 128, 128, 192, 128, 192, 192, 208, 128, 192, 192, 208, 192, 208, 208, 216,
		0, 128, 128, 192, 128, 192, 192, 224, 128, 192, 192, 224, 192, 224, 224, 232,
		128, 192, 192, 224, 192, 224, 224, 240, 192, 224, 224, 240, 224, 240, 240, 248,
	}, {
		0, 1, 2, 1, 4, 1, 2, 1, 8, 1, 2, 1, 4, 1, 2, 9,
		16, 1, 2, 1, 4, 1, 2, 17, 8, 1, 2, 17, 4, 17, 18, 25,
		32, 1, 2, 1, 4, 1, 2, 33, 8, 1, 2, 33, 4, 33, 34, 41,
		16, 1, 2, 33, 4, 33, 34, 49, 8, 33, 34, 49, 36, 49, 50, 57,
		64, 1, 2, 1, 4, 1, 2, 65, 8, 1, 2, 65, 4, 65, 66, 73,
		16, 1, 2, 65, 4, 65, 66, 81, 8, 65, 66, 81, 68, 81, 82, 89,
		32, 1, 2, 65, 4, 65, 66, 97, 8, 65, 66, 97, 68, 97, 98, 105,
		16, 65, 66, 97, 68, 97, 98, 113, 72, 97, 98, 113, 100, 113, 114, 121,
		128, 1, 2, 1, 4, 1, 2, 129, 8, 1, 2, 129, 4, 129, 130, 137,
		16, 1, 2, 129, 4, 129, 130, 145, 8, 129, 130, 145, 132, 145, 146, 153,
		32, 1, 2, 129, 4, 129, 130, 161, 8, 129, 130, 161, 132, 161, 162, 169,
		16, 129, 130, 161, 132, 161, 162, 177, 136, 161, 162, 177, 164, 177, 178, 185,
		64, 1, 2, 129, 4, 129, 130, 193, 8, 129, 130, 193, 132, 193, 194, 201,
		16, 129, 130, 193, 132, 193, 194, 209, 136, 193, 194, 209, 196, 209, 210, 217,
		32, 129, 130, 193, 132, 193, 194, 225, 136, 193, 194, 225, 196, 225, 226, 233,
		144, 193, 194, 225, 196, 225, 226, 241, 200, 225, 226, 241, 228, 241, 242, 249,
	}, {
		0, 0, 0, 2, 0, 4, 4, 2, 0, 8, 8, 2, 8, 4, 4, 10,
		0, 16, 16, 2, 16, 4, 4, 18, 16, 8, 8, 18, 8, 20, 20, 26,
		0, 32, 32, 2, 32, 4, 4, 34, 32, 8, 8, 34, 8, 36, 36, 42,
		32, 16, 16, 34, 16, 36, 36, 50, 16, 40, 40, 50, 40, 52, 52, 58,
		0, 64, 64, 2, 64, 4, 4, 66, 64, 8, 8, 66, 8, 68, 68, 74,
		64, 16, 16, 66, 16, 68, 68, 82, 16, 72, 72, 82, 72, 84, 84, 90,
		64, 32, 32, 66, 32, 68, 68, 98, 32, 72, 72, 98, 72, 100, 100, 106,
		32, 80, 80, 98, 80, 100, 100, 114, 80, 104, 104, 114, 104, 116, 116, 122,
		0, 128, 128, 2, 128, 4, 4, 130, 128, 8, 8, 130, 8, 132, 132, 138,
		128, 16, 16, 130, 16, 132, 132, 146, 16, 136, 136, 146, 136, 148, 148, 154,
		128, 32, 32, 130, 32, 132, 132, 162, 32, 136, 136, 162, 136, 164, 164, 170,
		32, 144, 144, 162, 144, 164, 164, 178, 144, 168, 168, 178, 168, 180, 180, 186,
		128, 64, 64, 130, 64, 132, 132, 194, 64, 136, 136, 194, 136, 196, 196, 202,
		64, 144, 144, 194, 144, 196, 196, 210, 144, 200, 200, 210, 200, 212, 212, 218,
		64, 160, 160, 194, 160, 196, 196, 226, 160, 200, 200, 226, 200, 228, 228, 234,
		160, 208, 208, 226, 208, 228, 228, 242, 208, 232, 232, 242, 232, 244, 244, 250,
	}, {
		0, 1, 2, 3, 4, 5, 6, 3, 8, 9, 10, 3, 12, 5, 6, 11,
		16, 17, 18, 3, 20, 5, 6, 19, 24, 9, 10, 19, 12, 21, 22, 27,
		32, 33, 34, 3, 36, 5, 6, 35, 40, 9, 10, 35, 12, 37, 38, 43,
		48, 17, 18, 35, 20, 37, 38, 51, 24, 41, 42, 51, 44, 53, 54, 59,
		64, 65, 66, 3, 68, 5, 6, 67, 72, 9, 10, 67, 12, 69, 70, 75,
		80, 17, 18, 67, 20, 69, 70, 83, 24, 73, 74, 83, 76, 85, 86, 91,
		96, 33, 34, 67, 36, 69, 70, 99, 40, 73, 74, 99, 76, 101, 102, 107,
		48, 81, 82, 99, 84, 101, 102, 115, 88, 105, 106, 115, 108, 117, 118, 123,
		128, 129, 130, 3, 132, 5, 6, 131, 136, 9, 10, 131, 12, 133, 134, 139,
		144, 17, 18, 131, 20, 133, 134, 147, 24, 137, 138, 147, 140, 149, 150, 155,
		160, 33, 34, 131, 36, 133, 134, 163, 40, 137, 138, 163, 140, 165, 166, 171,
		48, 145, 146, 163, 148, 165, 166, 179, 152, 169, 170, 179, 172, 181, 182, 187,
		192, 65, 66, 131, 68, 133, 134, 195, 72, 137, 138, 195, 140, 197, 198, 203,
		80, 145, 146, 195, 148, 197, 198, 211, 152, 201, 202, 211, 204, 213, 214, 219,
		96, 161, 162, 195, 164, 197, 198, 227, 168, 201, 202, 227, 204, 229, 230, 235,
		176, 209, 210, 227, 212, 229, 230, 243, 216, 233, 234, 243, 236, 245, 246, 251,
	},
	{
		0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 8, 0, 8, 8, 12,
		0, 0, 0, 16, 0, 16, 16, 20, 0, 16, 16, 24, 16, 24, 24, 28,
		0, 0, 0, 32, 0, 32, 32, 36, 0, 32, 32, 40, 32, 40, 40, 44,
		0, 32, 32, 48, 32, 48, 48, 52, 32, 48, 48, 56, 48, 56, 56, 60,
		0, 0, 0, 64, 0, 64, 64, 68, 0, 64, 64, 72, 64, 72, 72, 76,
		0, 64, 64, 80, 64, 80, 80, 84, 64, 80, 80, 88, 80, 88, 88, 92,
		0, 64, 64, 96, 64, 96, 96, 100, 64, 96, 96, 104, 96, 104, 104, 108,
		64, 96, 96, 112, 96, 112, 112, 116, 96, 112, 112, 120, 112, 120, 120, 124,
		0, 0, 0, 128, 0, 128, 128, 132, 0, 128, 128, 136, 128, 136, 136, 140,
		0, 128, 128, 144, 128, 144, 144, 148, 128, 144, 144, 152, 144, 152, 152, 156,
		0, 128, 128, 160, 128, 160, 160, 164, 128, 160, 160, 168, 160, 168, 168, 172,
		128, 160, 160, 176, 160, 176, 176, 180, 160, 176, 176, 184, 176, 184, 184, 188,
		0, 128, 128, 192, 128, 192, 192, 196, 128, 192, 192, 200, 192, 200, 200, 204,
		128, 192, 192, 208, 192, 208, 208, 212, 192, 208, 208, 216, 208, 216, 216, 220,
		128, 192, 192, 224, 192, 224, 224, 228, 192, 224, 224, 232, 224, 232, 232, 236,
		192, 224, 224, 240, 224, 240, 240, 244, 224, 240, 240, 248, 240, 248, 248, 252,
	}, {
		0, 1, 2, 1, 4, 1, 2, 5, 8, 1, 2, 9, 4, 9, 10, 13,
		16, 1, 2, 17, 4, 17, 18, 21, 8, 17, 18, 25, 20, 25, 26, 29,
		32, 1, 2, 33, 4, 33, 34, 37, 8, 33, 34, 41, 36, 41, 42, 45,
		16, 33, 34, 49, 36, 49, 50, 53, 40, 49, 50, 57, 52, 57, 58, 61,
		64, 1, 2, 65, 4, 65, 66, 69, 8, 65, 66, 73, 68, 73, 74, 77,
		16, 65, 66, 81, 68, 81, 82, 85, 72, 81, 82, 89, 84, 89, 90, 93,
		32, 65, 66, 97, 68, 97, 98, 101, 72, 97, 98, 105, 100, 105, 106, 109,
		80, 97, 98, 113, 100, 113, 114, 117, 104, 113, 114, 121, 116, 121, 122, 125,
		128, 1, 2, 129, 4, 129, 130, 133, 8, 129, 130, 137, 132, 137, 138, 141,
		16, 129, 130, 145, 132, 145, 146, 149, 136, 145, 146, 153, 148, 153, 154, 157,
		32, 129, 130, 161, 132, 161, 162, 165, 136, 161, 162, 169, 164, 169, 170, 173,
		144, 161, 162, 177, 164, 177, 178, 181, 168, 177, 178, 185, 180, 185, 186, 189,
		64, 129, 130, 193, 132, 193, 194, 197, 136, 193, 194, 201, 196, 201, 202, 205,
		144, 193, 194, 209, 196, 209, 210, 213, 200, 209, 210, 217, 212, 217, 218, 221,
		160, 193, 194, 225, 196, 225, 226, 229, 200, 225, 226, 233, 228, 233, 234, 237,
		208, 225, 226, 241, 228, 241, 242, 245, 232, 241, 242, 249, 244, 249, 250, 253,
	}, {
		0, 0, 0, 2, 0, 4, 4, 6, 0, 8, 8, 10, 8, 12, 12, 14,
		0, 16, 16, 18, 16, 20, 20, 22, 16, 24, 24, 26, 24, 28, 28, 30,
		0, 32, 32, 34, 32, 36, 36, 38, 32, 40, 40, 42, 40, 44, 44, 46,
		32, 48, 48, 50, 48, 52, 52, 54, 48, 56, 56, 58, 56, 60, 60, 62,
		0, 64, 64, 66, 64, 68, 68, 70, 64, 72, 72, 74, 72, 76, 76, 78,
		64, 80, 80, 82, 80, 84, 84, 86, 80, 88, 88, 90, 88, 92, 92, 94,
		64, 96, 96, 98, 96, 100, 100, 102, 96, 104, 104, 106, 104, 108, 108, 110,
		96, 112, 112, 114, 112, 116, 116, 118, 112, 120, 120, 122, 120, 124, 124, 126,
		0, 128, 128, 130, 128, 132, 132, 134, 128, 136, 136, 138, 136, 140, 140, 142,
		128, 144, 144, 146, 144, 148, 148, 150, 144, 152, 152, 154, 152, 156, 156, 158,
		128, 160, 160, 162, 160, 164, 164, 166, 160, 168, 168, 170, 168, 172, 172, 174,
		160, 176, 176, 178, 176, 180, 180, 182, 176, 184, 184, 186, 184, 188, 188, 190,
		128, 192, 192, 194, 192, 196, 196, 198, 192, 200, 200, 202, 200, 204, 204, 206,
		192, 208, 208, 210, 208, 212, 212, 214, 208, 216, 216, 218, 216, 220, 220, 222,
		192, 224, 224, 226, 224, 228, 228, 230, 224, 232, 232, 234, 232, 236, 236, 238,
		224, 240, 240, 242, 240, 244, 244, 246, 240, 248, 248, 250, 248, 252, 252, 254,
	}, {
		0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15,
		16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31,
		32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47,
		48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63,
		64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79,
		80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95,
		96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111,
		112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127,
		128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 142, 143,
		144, 145, 146, 147, 148, 149, 150, 151, 152, 153, 154, 155, 156, 157, 158, 159,
		160, 161, 162, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175,
		176, 177, 178, 179, 180, 181, 182, 183, 184, 185, 186, 187, 188, 189, 190, 191,
		192, 193, 194, 195, 196, 197, 198, 199, 200, 201, 202, 203, 204, 205, 206, 207,
		208, 209, 210, 211, 212, 213, 214, 215, 216, 217, 218, 219, 220, 221, 222, 223,
		224, 225, 226, 227, 228, 229, 230, 231, 232, 233, 234, 235, 236, 237, 238, 239,
		240, 241, 242, 243, 244, 245, 246, 247, 248, 249, 250, 251, 252, 253, 254, 255,
	},
}

// popLUT contains pre-computed population counts
var popLUT = [256]uint8{
	0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
	1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
	1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
	1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
	2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
	3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
	3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
	4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
}
