Cleanup VirtualPadAnalogStick and use LUTs for polar conversion
This commit is contained in:
YoshiRulz
James Groom
parent
71e3dbf6bc
commit
a22a1637d0
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@ -1,20 +1,19 @@
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using System;
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using DoublePair = System.Tuple<double, double>;
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#nullable enable
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namespace BizHawk.Client.Common
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{
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public static class PolarRectConversion
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{
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/// <param name="θ">angle in degrees</param>
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/// <returns>rectangular (Cartesian) coordinates (x, y)</returns>
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public static DoublePair PolarDegToRect(double r, double θ) => PolarRadToRect(r, θ * Math.PI / 180);
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/// <param name="r">radial displacement in range <c>0..181</c> (this is not asserted)</param>
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/// <param name="θ">angle (in degrees) in range <c>0..359</c> (this is not asserted)</param>
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/// <returns>rectangular (Cartesian) coordinates <c>(x, y)</c>. <c>x</c> and/or <c>y</c> may be outside the range <c>-128..127</c>.</returns>
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/// <seealso cref="RectToPolarLookup"/>
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public static (short, short) PolarToRectLookup(ushort r, ushort θ) => (PolarRectConversionData._rθ2x[r, θ], PolarRectConversionData._rθ2y[r, θ]);
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/// <param name="θ">angle in radians</param>
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/// <returns>rectangular (Cartesian) coordinates (x, y)</returns>
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public static DoublePair PolarRadToRect(double r, double θ) => new DoublePair(r * Math.Cos(θ), r * Math.Sin(θ));
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/// <returns>polar coordinates (r, θ) where θ is in degrees</returns>
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public static DoublePair RectToPolarDeg(double x, double y) => new DoublePair(Math.Sqrt(x * x + y * y), Math.Atan2(y, x) * 180 / Math.PI);
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/// <param name="x">horizontal component of rectangular (Cartesian) coordinates <c>(x, y)</c>, in range <c>-128..127</c> (this is not asserted)</param>
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/// <param name="y">vertical component, as <paramref name="x"/></param>
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/// <returns>polar coordinates <c>(r, θ)</c> where <c>r</c> is radial displacement in range <c>0..181</c> and <c>θ</c> is angle (in degrees) in range <c>0..359</c> (from <c>+x</c> towards <c>+y</c>)</returns>
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/// <seealso cref="PolarToRectLookup"/>
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public static (ushort, ushort) RectToPolarLookup(sbyte x, sbyte y) => unchecked((PolarRectConversionData._xy2r[(byte) x, (byte) y], PolarRectConversionData._xy2θ[(byte) x, (byte) y]));
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}
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}
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}
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@ -0,0 +1,902 @@
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#nullable enable
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using System;
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namespace BizHawk.Client.Common
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{
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/// <remarks>This is separate from <see cref="PolarRectConversion"/> because its large size slows or prevents design-time code analysis.</remarks>
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internal static class PolarRectConversionData
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{
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/// <remarks>generated with ruby: <c>def f(r, θ) (r * Math.cos(θ * Math::PI / 180)).round end; puts (0..181).map {|r| "{" + (0..359).map {|θ| f(r, θ)} * ", " + "}"} * ",\n"</c></remarks>
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public static readonly short[,] _rθ2x = new short[,] {
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{ 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5 },
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|
||||
{ 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7 },
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{ 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8 },
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{ 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9 },
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{ 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10 },
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{ 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -2, -3, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -3, -2, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11 },
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{ 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -6, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -2, -1, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12 },
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{ 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -7, -6, -6, -6, -6, -5, -5, -5, -5, -5, -4, -4, -4, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 },
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{ 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, -5, -5, -5, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -8, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -7, -7, -7, -7, -7, -6, -6, -6, -6, -5, -5, -5, -5, -5, -4, -4, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14 },
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{ 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 13, 13, 13, 13, 13, 13, 13, 13, 12, 12, 12, 12, 12, 12, 11, 11, 11, 11, 11, 11, 10, 10, 10, 10, 10, 9, 9, 9, 9, 9, 8, 8, 8, 8, 8, 7, 7, 7, 7, 6, 6, 6, 6, 5, 5, 5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 0, 0, 0, -1, -1, -1, -1, -2, -2, -2, -2, -3, -3, -3, -3, -4, -4, -4, -4, -5, -5, -5, -5, -6, -6, -6, -6, -7, -7, -7, -7, -7, -8, -8, -8, -8, -9, -9, -9, -9, -9, -10, -10, -10, -10, -10, -11, -11, -11, -11, -11, -11, -12, -12, -12, -12, -12, -12, -13, -13, -13, -13, -13, -13, -13, -13, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -15, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -14, -13, -13, -13, -13, -13, -13, -13, -13, -12, -12, -12, -12, -12, -12, -11, -11, -11, -11, -11, -11, -10, -10, -10, -10, -10, -9, -9, -9, -9, -9, -8, -8, -8, -8, -8, -7, -7, -7, -7, -6, -6, -6, -6, -5, -5, -5, -5, -4, -4, -4, -4, -3, -3, -3, -3, -2, -2, -2, -2, -1, -1, -1, -1, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15 },
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{ 178, 178, 178, 178, 178, 177, 177, 177, 176, 176, 175, 175, 174, 173, 173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 163, 161, 160, 159, 157, 156, 154, 153, 151, 149, 148, 146, 144, 142, 140, 138, 136, 134, 132, 130, 128, 126, 124, 121, 119, 117, 114, 112, 110, 107, 105, 102, 100, 97, 94, 92, 89, 86, 84, 81, 78, 75, 72, 70, 67, 64, 61, 58, 55, 52, 49, 46, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 12, 9, 6, 3, 0, -3, -6, -9, -12, -16, -19, -22, -25, -28, -31, -34, -37, -40, -43, -46, -49, -52, -55, -58, -61, -64, -67, -70, -72, -75, -78, -81, -84, -86, -89, -92, -94, -97, -100, -102, -105, -107, -110, -112, -114, -117, -119, -121, -124, -126, -128, -130, -132, -134, -136, -138, -140, -142, -144, -146, -148, -149, -151, -153, -154, -156, -157, -159, -160, -161, -163, -164, -165, -166, -167, -168, -169, -170, -171, -172, -173, -173, -174, -175, -175, -176, -176, -177, -177, -177, -178, -178, -178, -178, -178, -178, -178, -178, -178, -177, -177, -177, -176, -176, -175, -175, -174, -173, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -163, -161, -160, -159, -157, -156, -154, -153, -151, -149, -148, -146, -144, -142, -140, -138, -136, -134, -132, -130, -128, -126, -124, -121, -119, -117, -114, -112, -110, -107, -105, -102, -100, -97, -94, -92, -89, -86, -84, -81, -78, -75, -72, -70, -67, -64, -61, -58, -55, -52, -49, -46, -43, -40, -37, -34, -31, -28, -25, -22, -19, -16, -12, -9, -6, -3, 0, 3, 6, 9, 12, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 72, 75, 78, 81, 84, 86, 89, 92, 94, 97, 100, 102, 105, 107, 110, 112, 114, 117, 119, 121, 124, 126, 128, 130, 132, 134, 136, 138, 140, 142, 144, 146, 148, 149, 151, 153, 154, 156, 157, 159, 160, 161, 163, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 173, 174, 175, 175, 176, 176, 177, 177, 177, 178, 178, 178, 178 },
|
||||
{ 179, 179, 179, 179, 179, 178, 178, 178, 177, 177, 176, 176, 175, 174, 174, 173, 172, 171, 170, 169, 168, 167, 166, 165, 164, 162, 161, 159, 158, 157, 155, 153, 152, 150, 148, 147, 145, 143, 141, 139, 137, 135, 133, 131, 129, 127, 124, 122, 120, 117, 115, 113, 110, 108, 105, 103, 100, 97, 95, 92, 90, 87, 84, 81, 78, 76, 73, 70, 67, 64, 61, 58, 55, 52, 49, 46, 43, 40, 37, 34, 31, 28, 25, 22, 19, 16, 12, 9, 6, 3, 0, -3, -6, -9, -12, -16, -19, -22, -25, -28, -31, -34, -37, -40, -43, -46, -49, -52, -55, -58, -61, -64, -67, -70, -73, -76, -78, -81, -84, -87, -89, -92, -95, -97, -100, -103, -105, -108, -110, -113, -115, -117, -120, -122, -124, -127, -129, -131, -133, -135, -137, -139, -141, -143, -145, -147, -148, -150, -152, -153, -155, -157, -158, -159, -161, -162, -164, -165, -166, -167, -168, -169, -170, -171, -172, -173, -174, -174, -175, -176, -176, -177, -177, -178, -178, -178, -179, -179, -179, -179, -179, -179, -179, -179, -179, -178, -178, -178, -177, -177, -176, -176, -175, -174, -174, -173, -172, -171, -170, -169, -168, -167, -166, -165, -164, -162, -161, -159, -158, -157, -155, -153, -152, -150, -148, -147, -145, -143, -141, -139, -137, -135, -133, -131, -129, -127, -124, -122, -120, -117, -115, -113, -110, -108, -105, -103, -100, -97, -95, -92, -90, -87, -84, -81, -78, -76, -73, -70, -67, -64, -61, -58, -55, -52, -49, -46, -43, -40, -37, -34, -31, -28, -25, -22, -19, -16, -12, -9, -6, -3, 0, 3, 6, 9, 12, 16, 19, 22, 25, 28, 31, 34, 37, 40, 43, 46, 49, 52, 55, 58, 61, 64, 67, 70, 73, 76, 78, 81, 84, 87, 90, 92, 95, 97, 100, 103, 105, 108, 110, 113, 115, 117, 120, 122, 124, 127, 129, 131, 133, 135, 137, 139, 141, 143, 145, 147, 148, 150, 152, 153, 155, 157, 158, 159, 161, 162, 164, 165, 166, 167, 168, 169, 170, 171, 172, 173, 174, 174, 175, 176, 176, 177, 177, 178, 178, 178, 179, 179, 179, 179 },
|
||||
{ 180, 180, 180, 180, 180, 179, 179, 179, 178, 178, 177, 177, 176, 175, 175, 174, 173, 172, 171, 170, 169, 168, 167, 166, 164, 163, 162, 160, 159, 157, 156, 154, 153, 151, 149, 147, 146, 144, 142, 140, 138, 136, 134, 132, 129, 127, 125, 123, 120, 118, 116, 113, 111, 108, 106, 103, 101, 98, 95, 93, 90, 87, 85, 82, 79, 76, 73, 70, 67, 65, 62, 59, 56, 53, 50, 47, 44, 40, 37, 34, 31, 28, 25, 22, 19, 16, 13, 9, 6, 3, 0, -3, -6, -9, -13, -16, -19, -22, -25, -28, -31, -34, -37, -40, -44, -47, -50, -53, -56, -59, -62, -65, -67, -70, -73, -76, -79, -82, -85, -87, -90, -93, -95, -98, -101, -103, -106, -108, -111, -113, -116, -118, -120, -123, -125, -127, -129, -132, -134, -136, -138, -140, -142, -144, -146, -147, -149, -151, -153, -154, -156, -157, -159, -160, -162, -163, -164, -166, -167, -168, -169, -170, -171, -172, -173, -174, -175, -175, -176, -177, -177, -178, -178, -179, -179, -179, -180, -180, -180, -180, -180, -180, -180, -180, -180, -179, -179, -179, -178, -178, -177, -177, -176, -175, -175, -174, -173, -172, -171, -170, -169, -168, -167, -166, -164, -163, -162, -160, -159, -157, -156, -154, -153, -151, -149, -147, -146, -144, -142, -140, -138, -136, -134, -132, -129, -127, -125, -123, -120, -118, -116, -113, -111, -108, -106, -103, -101, -98, -95, -93, -90, -87, -85, -82, -79, -76, -73, -70, -67, -65, -62, -59, -56, -53, -50, -47, -44, -40, -37, -34, -31, -28, -25, -22, -19, -16, -13, -9, -6, -3, 0, 3, 6, 9, 13, 16, 19, 22, 25, 28, 31, 34, 37, 40, 44, 47, 50, 53, 56, 59, 62, 65, 67, 70, 73, 76, 79, 82, 85, 87, 90, 93, 95, 98, 101, 103, 106, 108, 111, 113, 116, 118, 120, 123, 125, 127, 129, 132, 134, 136, 138, 140, 142, 144, 146, 147, 149, 151, 153, 154, 156, 157, 159, 160, 162, 163, 164, 166, 167, 168, 169, 170, 171, 172, 173, 174, 175, 175, 176, 177, 177, 178, 178, 179, 179, 179, 180, 180, 180, 180 },
|
||||
{ 181, 181, 181, 181, 181, 180, 180, 180, 179, 179, 178, 178, 177, 176, 176, 175, 174, 173, 172, 171, 170, 169, 168, 167, 165, 164, 163, 161, 160, 158, 157, 155, 153, 152, 150, 148, 146, 145, 143, 141, 139, 137, 135, 132, 130, 128, 126, 123, 121, 119, 116, 114, 111, 109, 106, 104, 101, 99, 96, 93, 91, 88, 85, 82, 79, 76, 74, 71, 68, 65, 62, 59, 56, 53, 50, 47, 44, 41, 38, 35, 31, 28, 25, 22, 19, 16, 13, 9, 6, 3, 0, -3, -6, -9, -13, -16, -19, -22, -25, -28, -31, -35, -38, -41, -44, -47, -50, -53, -56, -59, -62, -65, -68, -71, -74, -76, -79, -82, -85, -88, -90, -93, -96, -99, -101, -104, -106, -109, -111, -114, -116, -119, -121, -123, -126, -128, -130, -132, -135, -137, -139, -141, -143, -145, -146, -148, -150, -152, -153, -155, -157, -158, -160, -161, -163, -164, -165, -167, -168, -169, -170, -171, -172, -173, -174, -175, -176, -176, -177, -178, -178, -179, -179, -180, -180, -180, -181, -181, -181, -181, -181, -181, -181, -181, -181, -180, -180, -180, -179, -179, -178, -178, -177, -176, -176, -175, -174, -173, -172, -171, -170, -169, -168, -167, -165, -164, -163, -161, -160, -158, -157, -155, -153, -152, -150, -148, -146, -145, -143, -141, -139, -137, -135, -132, -130, -128, -126, -123, -121, -119, -116, -114, -111, -109, -106, -104, -101, -99, -96, -93, -91, -88, -85, -82, -79, -76, -74, -71, -68, -65, -62, -59, -56, -53, -50, -47, -44, -41, -38, -35, -31, -28, -25, -22, -19, -16, -13, -9, -6, -3, 0, 3, 6, 9, 13, 16, 19, 22, 25, 28, 31, 35, 38, 41, 44, 47, 50, 53, 56, 59, 62, 65, 68, 71, 74, 76, 79, 82, 85, 88, 91, 93, 96, 99, 101, 104, 106, 109, 111, 114, 116, 119, 121, 123, 126, 128, 130, 132, 135, 137, 139, 141, 143, 145, 146, 148, 150, 152, 153, 155, 157, 158, 160, 161, 163, 164, 165, 167, 168, 169, 170, 171, 172, 173, 174, 175, 176, 176, 177, 178, 178, 179, 179, 180, 180, 180, 181, 181, 181, 181 }
|
||||
};
|
||||
|
||||
/// <remarks>generated with ruby: <c>def f(r, θ) (r * Math.sin(θ * Math::PI / 180)).round end; puts (0..181).map {|r| "{" + (0..359).map {|θ| f(r, θ)} * ", " + "}"} * ",\n"</c></remarks>
|
||||
public static readonly short[,] _rθ2y = new short[,] {
|
||||
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};
|
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|
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/// <remarks>generated with ruby: <c>def f(x, y) Math.hypot(x < 128 ? x : x - 256, y < 128 ? y : y - 256).round end; puts (0..255).map {|x| "{" + (0..255).map {|y| f(x, y)} * ", " + "}"} * ",\n"</c></remarks>
|
||||
public static readonly ushort[,] _xy2r = new ushort[,] {
|
||||
{ 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 },
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||||
{ 1, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 },
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{ 2, 2, 3, 4, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2 },
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||||
{ 3, 3, 4, 4, 5, 6, 7, 8, 9, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 5, 4, 4, 3 },
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{ 4, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4 },
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{ 5, 5, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 6, 5, 5 },
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{ 6, 6, 6, 7, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6 },
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{ 7, 7, 7, 8, 8, 9, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7 },
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{ 8, 8, 8, 9, 9, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8 },
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{ 9, 9, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9 },
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{ 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 21, 20, 19, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10 },
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{ 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 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, 121, 122, 123, 124, 125, 126, 127, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 25, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11 },
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{ 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 30, 29, 28, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 12 },
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{ 13, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 26, 25, 24, 23, 22, 21, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 14, 13, 13, 13 },
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{ 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 30, 29, 28, 27, 26, 25, 24, 24, 23, 22, 21, 21, 20, 19, 18, 18, 17, 17, 16, 16, 15, 15, 15, 14, 14, 14 },
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{ 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 28, 27, 27, 26, 25, 24, 23, 23, 22, 21, 21, 20, 19, 19, 18, 17, 17, 17, 16, 16, 16, 15, 15, 15 },
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{ 16, 16, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 38, 37, 36, 35, 34, 33, 32, 31, 31, 30, 29, 28, 27, 26, 26, 25, 24, 23, 23, 22, 21, 21, 20, 19, 19, 18, 18, 17, 17, 17, 16, 16, 16, 16 },
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{ 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 28, 29, 29, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 29, 28, 27, 26, 25, 25, 24, 23, 23, 22, 21, 21, 20, 20, 19, 19, 18, 18, 18, 17, 17, 17, 17 },
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{ 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 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, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 38, 37, 36, 35, 34, 33, 32, 32, 31, 30, 29, 28, 28, 27, 26, 25, 25, 24, 23, 23, 22, 22, 21, 21, 20, 20, 19, 19, 19, 18, 18, 18, 18 },
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{ 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 24, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 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, 121, 122, 123, 124, 125, 126, 127, 128, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 42, 41, 40, 39, 38, 37, 36, 36, 35, 34, 33, 32, 31, 31, 30, 29, 28, 28, 27, 26, 25, 25, 24, 24, 23, 22, 22, 21, 21, 21, 20, 20, 20, 19, 19, 19, 19 },
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{ 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 42, 41, 40, 39, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 30, 29, 28, 28, 27, 26, 26, 25, 24, 24, 23, 23, 22, 22, 22, 21, 21, 21, 20, 20, 20, 20 },
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{ 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 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, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 44, 43, 43, 42, 41, 40, 39, 38, 37, 37, 36, 35, 34, 33, 33, 32, 31, 30, 30, 29, 28, 28, 27, 26, 26, 25, 25, 24, 24, 23, 23, 22, 22, 22, 22, 21, 21, 21, 21 },
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{ 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 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, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 42, 41, 40, 40, 39, 38, 37, 36, 36, 35, 34, 33, 33, 32, 31, 30, 30, 29, 28, 28, 27, 27, 26, 26, 25, 25, 24, 24, 23, 23, 23, 23, 22, 22, 22, 22 },
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{ 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 39, 39, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 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, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 44, 44, 43, 42, 41, 40, 39, 39, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 30, 30, 29, 29, 28, 27, 27, 26, 26, 25, 25, 25, 24, 24, 24, 24, 23, 23, 23, 23 },
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{ 24, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 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, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 50, 49, 48, 48, 47, 46, 45, 44, 43, 42, 42, 41, 40, 39, 38, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 31, 30, 29, 29, 28, 28, 27, 27, 26, 26, 26, 25, 25, 25, 25, 24, 24, 24, 24 },
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{ 25, 25, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 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, 126, 127, 128, 129, 130, 129, 128, 127, 126, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 45, 44, 43, 42, 41, 41, 40, 39, 38, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 31, 30, 30, 29, 29, 28, 28, 27, 27, 27, 26, 26, 26, 25, 25, 25, 25, 25 },
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{ 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 49, 49, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 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, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 44, 43, 42, 41, 40, 40, 39, 38, 37, 37, 36, 35, 35, 34, 33, 33, 32, 32, 31, 31, 30, 30, 29, 29, 28, 28, 28, 27, 27, 27, 26, 26, 26, 26, 26 },
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{ 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 34, 34, 35, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 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, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 43, 42, 41, 40, 40, 39, 38, 37, 37, 36, 35, 35, 34, 34, 33, 32, 32, 31, 31, 30, 30, 30, 29, 29, 28, 28, 28, 28, 27, 27, 27, 27, 27 },
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{ 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48, 49, 50, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 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, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 51, 50, 50, 49, 48, 47, 46, 46, 45, 44, 43, 43, 42, 41, 40, 40, 39, 38, 38, 37, 36, 36, 35, 34, 34, 33, 33, 32, 32, 31, 31, 30, 30, 30, 29, 29, 29, 29, 28, 28, 28, 28, 28 },
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{ 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 49, 49, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 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, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 55, 54, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 38, 38, 37, 36, 36, 35, 35, 34, 34, 33, 33, 32, 32, 31, 31, 31, 30, 30, 30, 30, 29, 29, 29, 29, 29 },
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{ 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 32, 33, 33, 34, 34, 34, 35, 36, 36, 37, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 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, 130, 131, 130, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 38, 38, 37, 37, 36, 36, 35, 34, 34, 34, 33, 33, 32, 32, 32, 31, 31, 31, 31, 30, 30, 30, 30, 30 },
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{ 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 51, 50, 49, 48, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 39, 38, 37, 37, 36, 36, 35, 35, 34, 34, 34, 33, 33, 33, 32, 32, 32, 32, 31, 31, 31, 31, 31 },
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{ 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 41, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 54, 53, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 39, 39, 38, 38, 37, 37, 36, 36, 35, 35, 35, 34, 34, 34, 33, 33, 33, 33, 32, 32, 32, 32, 32 },
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{ 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 53, 54, 55, 56, 57, 57, 58, 59, 60, 61, 62, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 53, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 40, 39, 39, 38, 38, 37, 37, 36, 36, 35, 35, 35, 34, 34, 34, 34, 34, 33, 33, 33, 33, 33 },
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{ 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 36, 36, 36, 37, 37, 38, 38, 38, 39, 39, 40, 40, 41, 42, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 42, 41, 40, 40, 39, 39, 38, 38, 38, 37, 37, 36, 36, 36, 35, 35, 35, 35, 35, 34, 34, 34, 34, 34 },
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{ 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 43, 44, 44, 45, 45, 46, 47, 47, 48, 49, 49, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 75, 76, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 55, 54, 53, 52, 52, 51, 50, 49, 49, 48, 47, 47, 46, 45, 45, 44, 44, 43, 42, 42, 41, 41, 40, 40, 39, 39, 38, 38, 38, 37, 37, 37, 36, 36, 36, 36, 36, 35, 35, 35, 35, 35 },
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{ 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 46, 46, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 62, 62, 63, 64, 65, 66, 67, 67, 68, 69, 70, 71, 72, 73, 73, 74, 75, 76, 77, 78, 79, 80, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 80, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 68, 67, 67, 66, 65, 64, 63, 62, 62, 61, 60, 59, 58, 58, 57, 56, 55, 55, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 46, 46, 45, 44, 44, 43, 43, 42, 42, 41, 41, 40, 40, 39, 39, 39, 38, 38, 38, 37, 37, 37, 37, 36, 36, 36, 36, 36, 36 },
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{ 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 40, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 65, 66, 67, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 46, 46, 45, 45, 44, 44, 43, 43, 42, 42, 41, 41, 40, 40, 40, 39, 39, 39, 38, 38, 38, 38, 37, 37, 37, 37, 37, 37 },
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{ 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 42, 42, 42, 43, 43, 44, 44, 45, 45, 46, 47, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 47, 46, 45, 45, 44, 44, 43, 43, 42, 42, 42, 41, 41, 40, 40, 40, 40, 39, 39, 39, 39, 38, 38, 38, 38, 38, 38 },
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{ 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 41, 41, 42, 42, 43, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 49, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 60, 61, 62, 63, 63, 64, 65, 66, 67, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 67, 66, 65, 64, 63, 63, 62, 61, 60, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 49, 48, 47, 47, 46, 46, 45, 45, 44, 44, 43, 43, 43, 42, 42, 41, 41, 41, 41, 40, 40, 40, 40, 39, 39, 39, 39, 39, 39 },
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{ 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 42, 42, 42, 43, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 51, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 70, 71, 72, 73, 74, 75, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 75, 74, 73, 72, 71, 70, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 51, 50, 49, 49, 48, 48, 47, 47, 46, 46, 45, 45, 44, 44, 43, 43, 43, 42, 42, 42, 41, 41, 41, 41, 41, 40, 40, 40, 40, 40, 40 },
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{ 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 44, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 53, 53, 54, 55, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 73, 74, 75, 76, 77, 78, 79, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 133, 134, 133, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 55, 54, 53, 53, 52, 51, 51, 50, 50, 49, 49, 48, 48, 47, 47, 46, 46, 45, 45, 44, 44, 44, 43, 43, 43, 42, 42, 42, 42, 42, 41, 41, 41, 41, 41, 41 },
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{ 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 44, 44, 44, 45, 45, 45, 46, 46, 47, 47, 47, 48, 48, 49, 49, 50, 50, 51, 52, 52, 53, 53, 54, 55, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 65, 66, 67, 68, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 68, 67, 66, 65, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 55, 54, 53, 53, 52, 52, 51, 50, 50, 49, 49, 48, 48, 47, 47, 47, 46, 46, 45, 45, 45, 44, 44, 44, 43, 43, 43, 43, 43, 42, 42, 42, 42, 42, 42 },
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{ 43, 43, 43, 43, 43, 43, 43, 44, 44, 44, 44, 44, 45, 45, 45, 46, 46, 46, 47, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 54, 54, 55, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 64, 65, 66, 67, 67, 68, 69, 70, 71, 71, 72, 73, 74, 75, 75, 76, 77, 78, 79, 80, 80, 81, 82, 83, 84, 85, 86, 86, 87, 88, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 134, 135, 134, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 88, 87, 86, 86, 85, 84, 83, 82, 81, 80, 80, 79, 78, 77, 76, 75, 75, 74, 73, 72, 71, 71, 70, 69, 68, 67, 67, 66, 65, 64, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 55, 54, 54, 53, 52, 52, 51, 51, 50, 50, 49, 49, 48, 48, 47, 47, 47, 46, 46, 46, 45, 45, 45, 44, 44, 44, 44, 44, 43, 43, 43, 43, 43, 43 },
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{ 44, 44, 44, 44, 44, 44, 44, 45, 45, 45, 45, 45, 46, 46, 46, 46, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 52, 52, 53, 53, 54, 54, 55, 56, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 64, 65, 66, 67, 67, 68, 69, 70, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78, 78, 79, 80, 81, 82, 83, 84, 84, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 133, 134, 135, 134, 133, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 84, 83, 82, 81, 80, 79, 78, 78, 77, 76, 75, 74, 74, 73, 72, 71, 70, 70, 69, 68, 67, 67, 66, 65, 64, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 56, 55, 54, 54, 53, 53, 52, 52, 51, 51, 50, 50, 49, 49, 48, 48, 48, 47, 47, 46, 46, 46, 46, 45, 45, 45, 45, 45, 44, 44, 44, 44, 44, 44 },
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{ 45, 45, 45, 45, 45, 45, 45, 46, 46, 46, 46, 46, 47, 47, 47, 47, 48, 48, 48, 49, 49, 50, 50, 51, 51, 51, 52, 52, 53, 54, 54, 55, 55, 56, 56, 57, 58, 58, 59, 60, 60, 61, 62, 62, 63, 64, 64, 65, 66, 67, 67, 68, 69, 70, 70, 71, 72, 73, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 82, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 94, 93, 92, 91, 90, 89, 88, 87, 87, 86, 85, 84, 83, 82, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 73, 72, 71, 70, 70, 69, 68, 67, 67, 66, 65, 64, 64, 63, 62, 62, 61, 60, 60, 59, 58, 58, 57, 56, 56, 55, 55, 54, 54, 53, 52, 52, 51, 51, 51, 50, 50, 49, 49, 48, 48, 48, 47, 47, 47, 47, 46, 46, 46, 46, 46, 45, 45, 45, 45, 45, 45 },
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{ 46, 46, 46, 46, 46, 46, 46, 47, 47, 47, 47, 47, 48, 48, 48, 48, 49, 49, 49, 50, 50, 51, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 56, 57, 57, 58, 58, 59, 60, 60, 61, 62, 62, 63, 64, 64, 65, 66, 66, 67, 68, 69, 69, 70, 71, 72, 72, 73, 74, 75, 76, 76, 77, 78, 79, 80, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 91, 92, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 105, 106, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 129, 130, 131, 132, 133, 134, 135, 136, 135, 134, 133, 132, 131, 130, 129, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 72, 71, 70, 69, 69, 68, 67, 66, 66, 65, 64, 64, 63, 62, 62, 61, 60, 60, 59, 58, 58, 57, 57, 56, 55, 55, 54, 54, 53, 53, 52, 52, 51, 51, 51, 50, 50, 49, 49, 49, 48, 48, 48, 48, 47, 47, 47, 47, 47, 46, 46, 46, 46, 46, 46 },
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{ 47, 47, 47, 47, 47, 47, 47, 48, 48, 48, 48, 48, 49, 49, 49, 49, 50, 50, 50, 51, 51, 51, 52, 52, 53, 53, 54, 54, 55, 55, 56, 56, 57, 57, 58, 59, 59, 60, 60, 61, 62, 62, 63, 64, 64, 65, 66, 66, 67, 68, 69, 69, 70, 71, 72, 72, 73, 74, 75, 75, 76, 77, 78, 79, 79, 80, 81, 82, 83, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 134, 135, 136, 135, 134, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 75, 74, 73, 72, 72, 71, 70, 69, 69, 68, 67, 66, 66, 65, 64, 64, 63, 62, 62, 61, 60, 60, 59, 59, 58, 57, 57, 56, 56, 55, 55, 54, 54, 53, 53, 52, 52, 51, 51, 51, 50, 50, 50, 49, 49, 49, 49, 48, 48, 48, 48, 48, 47, 47, 47, 47, 47, 47 },
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{ 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 54, 54, 54, 54, 55, 55, 55, 56, 56, 56, 57, 57, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 66, 66, 67, 67, 68, 69, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 82, 82, 83, 84, 85, 86, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 134, 135, 136, 137, 138, 137, 136, 135, 134, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 86, 85, 84, 83, 82, 82, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 71, 71, 70, 69, 69, 68, 67, 67, 66, 66, 65, 64, 64, 63, 63, 62, 62, 61, 61, 60, 60, 59, 59, 58, 58, 57, 57, 56, 56, 56, 55, 55, 55, 54, 54, 54, 54, 53, 53, 53, 53, 53, 52, 52, 52, 52, 52, 52, 52 },
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{ 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 60, 61, 61, 62, 62, 63, 64, 64, 65, 65, 66, 66, 67, 68, 68, 69, 70, 70, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 82, 82, 83, 84, 85, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 109, 110, 111, 111, 112, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 112, 111, 111, 110, 109, 108, 107, 106, 105, 104, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 85, 84, 83, 82, 82, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 70, 69, 68, 68, 67, 66, 66, 65, 65, 64, 64, 63, 62, 62, 61, 61, 60, 60, 59, 59, 59, 58, 58, 57, 57, 57, 56, 56, 56, 55, 55, 55, 55, 54, 54, 54, 54, 54, 53, 53, 53, 53, 53, 53, 53 },
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{ 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 56, 56, 56, 56, 57, 57, 57, 58, 58, 58, 59, 59, 60, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67, 67, 68, 68, 69, 70, 70, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 81, 82, 83, 84, 85, 85, 86, 87, 88, 88, 89, 90, 91, 92, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 133, 134, 135, 136, 137, 138, 139, 138, 137, 136, 135, 134, 133, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 92, 91, 90, 89, 88, 88, 87, 86, 85, 85, 84, 83, 82, 81, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 70, 69, 68, 68, 67, 67, 66, 65, 65, 64, 64, 63, 63, 62, 62, 61, 61, 60, 60, 60, 59, 59, 58, 58, 58, 57, 57, 57, 56, 56, 56, 56, 55, 55, 55, 55, 55, 54, 54, 54, 54, 54, 54, 54 },
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{ 55, 55, 55, 55, 55, 55, 55, 55, 56, 56, 56, 56, 56, 57, 57, 57, 57, 58, 58, 58, 59, 59, 59, 60, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 65, 66, 66, 67, 67, 68, 69, 69, 70, 70, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 78, 79, 80, 81, 81, 82, 83, 84, 84, 85, 86, 87, 87, 88, 89, 90, 91, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 111, 112, 112, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 137, 138, 139, 138, 137, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 112, 112, 111, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 91, 90, 89, 88, 87, 87, 86, 85, 84, 84, 83, 82, 81, 81, 80, 79, 78, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 70, 69, 69, 68, 67, 67, 66, 66, 65, 65, 64, 64, 63, 63, 62, 62, 61, 61, 60, 60, 60, 59, 59, 59, 58, 58, 58, 57, 57, 57, 57, 56, 56, 56, 56, 56, 55, 55, 55, 55, 55, 55, 55 },
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{ 56, 56, 56, 56, 56, 56, 56, 56, 57, 57, 57, 57, 57, 57, 58, 58, 58, 59, 59, 59, 59, 60, 60, 61, 61, 61, 62, 62, 63, 63, 64, 64, 64, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 71, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 78, 79, 80, 81, 81, 82, 83, 84, 84, 85, 86, 87, 87, 88, 89, 90, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 114, 115, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 132, 133, 134, 135, 136, 137, 138, 139, 140, 139, 138, 137, 136, 135, 134, 133, 132, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 94, 93, 92, 91, 90, 90, 89, 88, 87, 87, 86, 85, 84, 84, 83, 82, 81, 81, 80, 79, 78, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 71, 70, 69, 69, 68, 68, 67, 67, 66, 66, 65, 64, 64, 64, 63, 63, 62, 62, 61, 61, 61, 60, 60, 59, 59, 59, 59, 58, 58, 58, 57, 57, 57, 57, 57, 57, 56, 56, 56, 56, 56, 56, 56 },
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{ 57, 57, 57, 57, 57, 57, 57, 57, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 60, 60, 60, 61, 61, 61, 62, 62, 63, 63, 64, 64, 64, 65, 65, 66, 66, 67, 67, 68, 69, 69, 70, 70, 71, 71, 72, 73, 73, 74, 75, 75, 76, 76, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 89, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 89, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 76, 76, 75, 75, 74, 73, 73, 72, 71, 71, 70, 70, 69, 69, 68, 67, 67, 66, 66, 65, 65, 64, 64, 64, 63, 63, 62, 62, 61, 61, 61, 60, 60, 60, 59, 59, 59, 59, 58, 58, 58, 58, 58, 58, 57, 57, 57, 57, 57, 57, 57 },
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{ 58, 58, 58, 58, 58, 58, 58, 58, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 61, 61, 61, 62, 62, 62, 63, 63, 64, 64, 64, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 71, 72, 72, 73, 73, 74, 75, 75, 76, 77, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 89, 89, 90, 91, 92, 92, 93, 94, 95, 96, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 141, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 92, 91, 90, 89, 89, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 77, 76, 75, 75, 74, 73, 73, 72, 72, 71, 70, 70, 69, 69, 68, 68, 67, 67, 66, 66, 65, 65, 64, 64, 64, 63, 63, 62, 62, 62, 61, 61, 61, 60, 60, 60, 60, 59, 59, 59, 59, 59, 59, 58, 58, 58, 58, 58, 58, 58 },
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{ 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 74, 74, 75, 75, 76, 77, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 89, 89, 90, 91, 92, 92, 93, 94, 95, 95, 96, 97, 98, 99, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 99, 98, 97, 96, 95, 95, 94, 93, 92, 92, 91, 90, 89, 89, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 77, 76, 75, 75, 74, 74, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 67, 67, 66, 66, 65, 65, 64, 64, 64, 63, 63, 63, 62, 62, 62, 61, 61, 61, 61, 60, 60, 60, 60, 60, 60, 59, 59, 59, 59, 59, 59, 59 },
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{ 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 72, 72, 73, 73, 74, 74, 75, 76, 76, 77, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 112, 113, 114, 115, 116, 117, 117, 118, 119, 120, 121, 122, 123, 124, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 140, 141, 140, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 124, 123, 122, 121, 120, 119, 118, 117, 117, 116, 115, 114, 113, 112, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 77, 76, 76, 75, 74, 74, 73, 73, 72, 72, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 65, 65, 65, 64, 64, 64, 63, 63, 63, 62, 62, 62, 62, 61, 61, 61, 61, 61, 61, 60, 60, 60, 60, 60, 60, 60 },
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{ 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 75, 75, 76, 76, 77, 78, 78, 79, 80, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 97, 98, 99, 100, 101, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 142, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 101, 100, 99, 98, 97, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 80, 79, 78, 78, 77, 76, 76, 75, 75, 74, 73, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 66, 65, 65, 65, 64, 64, 64, 63, 63, 63, 63, 62, 62, 62, 62, 62, 62, 61, 61, 61, 61, 61, 61, 61 },
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{ 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 65, 65, 65, 65, 66, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 74, 75, 75, 76, 77, 77, 78, 78, 79, 80, 80, 81, 82, 82, 83, 84, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 97, 98, 99, 100, 100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 125, 126, 127, 128, 129, 130, 131, 132, 132, 133, 134, 135, 136, 137, 138, 139, 140, 140, 141, 142, 141, 140, 140, 139, 138, 137, 136, 135, 134, 133, 132, 132, 131, 130, 129, 128, 127, 126, 125, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 104, 103, 102, 101, 100, 100, 99, 98, 97, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 84, 83, 82, 82, 81, 80, 80, 79, 78, 78, 77, 77, 76, 75, 75, 74, 74, 73, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 66, 65, 65, 65, 65, 64, 64, 64, 64, 63, 63, 63, 63, 63, 63, 62, 62, 62, 62, 62, 62, 62 },
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{ 65, 65, 65, 65, 65, 65, 65, 65, 65, 66, 66, 66, 66, 66, 66, 67, 67, 67, 67, 68, 68, 68, 69, 69, 69, 70, 70, 70, 71, 71, 72, 72, 72, 73, 73, 74, 74, 75, 75, 76, 76, 77, 77, 78, 78, 79, 80, 80, 81, 81, 82, 83, 83, 84, 85, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 93, 94, 95, 96, 96, 97, 98, 98, 99, 100, 101, 102, 102, 103, 104, 105, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 142, 143, 144, 143, 142, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 118, 117, 116, 115, 114, 113, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 105, 104, 103, 102, 102, 101, 100, 99, 98, 98, 97, 96, 96, 95, 94, 93, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 85, 84, 83, 83, 82, 81, 81, 80, 80, 79, 78, 78, 77, 77, 76, 76, 75, 75, 74, 74, 73, 73, 72, 72, 72, 71, 71, 70, 70, 70, 69, 69, 69, 68, 68, 68, 67, 67, 67, 67, 66, 66, 66, 66, 66, 66, 65, 65, 65, 65, 65, 65, 65, 65 },
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{ 63, 63, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 64, 64, 65, 65, 65, 65, 66, 66, 66, 66, 67, 67, 67, 68, 68, 69, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 74, 75, 75, 76, 76, 77, 77, 78, 79, 79, 80, 80, 81, 82, 82, 83, 84, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 93, 94, 95, 96, 96, 97, 98, 99, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 112, 113, 114, 115, 116, 117, 117, 118, 119, 120, 121, 122, 122, 123, 124, 125, 126, 127, 128, 129, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 142, 143, 142, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 129, 128, 127, 126, 125, 124, 123, 122, 122, 121, 120, 119, 118, 117, 117, 116, 115, 114, 113, 112, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 99, 98, 97, 96, 96, 95, 94, 93, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 84, 83, 82, 82, 81, 80, 80, 79, 79, 78, 77, 77, 76, 76, 75, 75, 74, 74, 73, 73, 72, 72, 71, 71, 70, 70, 69, 69, 69, 68, 68, 67, 67, 67, 66, 66, 66, 66, 65, 65, 65, 65, 64, 64, 64, 64, 64, 64, 63, 63, 63, 63, 63, 63, 63 },
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{ 62, 62, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 63, 63, 64, 64, 64, 64, 65, 65, 65, 65, 66, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 74, 75, 75, 76, 77, 77, 78, 78, 79, 80, 80, 81, 82, 82, 83, 84, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 97, 98, 99, 100, 100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 125, 126, 127, 128, 129, 130, 131, 132, 132, 133, 134, 135, 136, 137, 138, 139, 140, 140, 141, 142, 141, 140, 140, 139, 138, 137, 136, 135, 134, 133, 132, 132, 131, 130, 129, 128, 127, 126, 125, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 104, 103, 102, 101, 100, 100, 99, 98, 97, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 84, 83, 82, 82, 81, 80, 80, 79, 78, 78, 77, 77, 76, 75, 75, 74, 74, 73, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 66, 65, 65, 65, 65, 64, 64, 64, 64, 63, 63, 63, 63, 63, 63, 62, 62, 62, 62, 62, 62, 62 },
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{ 61, 61, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 62, 62, 63, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 73, 74, 75, 75, 76, 76, 77, 78, 78, 79, 80, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 97, 98, 99, 100, 101, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 142, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 101, 100, 99, 98, 97, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 80, 79, 78, 78, 77, 76, 76, 75, 75, 74, 73, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 66, 65, 65, 65, 64, 64, 64, 63, 63, 63, 63, 62, 62, 62, 62, 62, 62, 61, 61, 61, 61, 61, 61, 61 },
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{ 60, 60, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 61, 61, 62, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 65, 66, 66, 67, 67, 68, 68, 68, 69, 69, 70, 70, 71, 72, 72, 73, 73, 74, 74, 75, 76, 76, 77, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 88, 89, 90, 91, 91, 92, 93, 94, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 112, 113, 114, 115, 116, 117, 117, 118, 119, 120, 121, 122, 123, 124, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 133, 134, 135, 136, 137, 138, 139, 140, 140, 141, 140, 140, 139, 138, 137, 136, 135, 134, 133, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 124, 123, 122, 121, 120, 119, 118, 117, 117, 116, 115, 114, 113, 112, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 94, 93, 92, 91, 91, 90, 89, 88, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 77, 76, 76, 75, 74, 74, 73, 73, 72, 72, 71, 70, 70, 69, 69, 68, 68, 68, 67, 67, 66, 66, 65, 65, 65, 64, 64, 64, 63, 63, 63, 62, 62, 62, 62, 61, 61, 61, 61, 61, 61, 60, 60, 60, 60, 60, 60, 60 },
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{ 59, 59, 59, 59, 59, 59, 59, 59, 60, 60, 60, 60, 60, 60, 61, 61, 61, 61, 62, 62, 62, 63, 63, 63, 64, 64, 64, 65, 65, 66, 66, 67, 67, 68, 68, 69, 69, 70, 70, 71, 71, 72, 72, 73, 74, 74, 75, 75, 76, 77, 77, 78, 79, 79, 80, 81, 81, 82, 83, 83, 84, 85, 86, 86, 87, 88, 89, 89, 90, 91, 92, 92, 93, 94, 95, 95, 96, 97, 98, 99, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 138, 139, 140, 141, 140, 139, 138, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 99, 98, 97, 96, 95, 95, 94, 93, 92, 92, 91, 90, 89, 89, 88, 87, 86, 86, 85, 84, 83, 83, 82, 81, 81, 80, 79, 79, 78, 77, 77, 76, 75, 75, 74, 74, 73, 72, 72, 71, 71, 70, 70, 69, 69, 68, 68, 67, 67, 66, 66, 65, 65, 64, 64, 64, 63, 63, 63, 62, 62, 62, 61, 61, 61, 61, 60, 60, 60, 60, 60, 60, 59, 59, 59, 59, 59, 59, 59 },
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{ 54, 54, 54, 54, 54, 54, 54, 54, 55, 55, 55, 55, 55, 56, 56, 56, 56, 57, 57, 57, 58, 58, 58, 59, 59, 60, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 65, 66, 67, 67, 68, 68, 69, 70, 70, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 81, 82, 83, 84, 85, 85, 86, 87, 88, 88, 89, 90, 91, 92, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 133, 134, 135, 136, 137, 138, 139, 138, 137, 136, 135, 134, 133, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 92, 91, 90, 89, 88, 88, 87, 86, 85, 85, 84, 83, 82, 81, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 70, 69, 68, 68, 67, 67, 66, 65, 65, 64, 64, 63, 63, 62, 62, 61, 61, 60, 60, 60, 59, 59, 58, 58, 58, 57, 57, 57, 56, 56, 56, 56, 55, 55, 55, 55, 55, 54, 54, 54, 54, 54, 54, 54 },
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{ 53, 53, 53, 53, 53, 53, 53, 53, 54, 54, 54, 54, 54, 55, 55, 55, 55, 56, 56, 56, 57, 57, 57, 58, 58, 59, 59, 59, 60, 60, 61, 61, 62, 62, 63, 64, 64, 65, 65, 66, 66, 67, 68, 68, 69, 70, 70, 71, 72, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 82, 82, 83, 84, 85, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 104, 105, 106, 107, 108, 109, 110, 111, 111, 112, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 128, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 139, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 128, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 112, 111, 111, 110, 109, 108, 107, 106, 105, 104, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 85, 84, 83, 82, 82, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 72, 71, 70, 70, 69, 68, 68, 67, 66, 66, 65, 65, 64, 64, 63, 62, 62, 61, 61, 60, 60, 59, 59, 59, 58, 58, 57, 57, 57, 56, 56, 56, 55, 55, 55, 55, 54, 54, 54, 54, 54, 53, 53, 53, 53, 53, 53, 53 },
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{ 52, 52, 52, 52, 52, 52, 52, 52, 53, 53, 53, 53, 53, 54, 54, 54, 54, 55, 55, 55, 56, 56, 56, 57, 57, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 63, 63, 64, 64, 65, 66, 66, 67, 67, 68, 69, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 79, 80, 81, 82, 82, 83, 84, 85, 86, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 106, 107, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 134, 135, 136, 137, 138, 137, 136, 135, 134, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 86, 85, 84, 83, 82, 82, 81, 80, 79, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 71, 71, 70, 69, 69, 68, 67, 67, 66, 66, 65, 64, 64, 63, 63, 62, 62, 61, 61, 60, 60, 59, 59, 58, 58, 57, 57, 56, 56, 56, 55, 55, 55, 54, 54, 54, 54, 53, 53, 53, 53, 53, 52, 52, 52, 52, 52, 52, 52 },
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{ 51, 51, 51, 51, 51, 51, 51, 51, 52, 52, 52, 52, 52, 53, 53, 53, 53, 54, 54, 54, 55, 55, 56, 56, 56, 57, 57, 58, 58, 59, 59, 60, 60, 61, 61, 62, 62, 63, 64, 64, 65, 65, 66, 67, 67, 68, 69, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 76, 77, 78, 79, 80, 80, 81, 82, 83, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 129, 130, 131, 132, 133, 134, 135, 136, 137, 138, 137, 136, 135, 134, 133, 132, 131, 130, 129, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 92, 91, 90, 89, 88, 87, 87, 86, 85, 84, 83, 83, 82, 81, 80, 80, 79, 78, 77, 76, 76, 75, 74, 74, 73, 72, 71, 71, 70, 69, 69, 68, 67, 67, 66, 65, 65, 64, 64, 63, 62, 62, 61, 61, 60, 60, 59, 59, 58, 58, 57, 57, 56, 56, 56, 55, 55, 54, 54, 54, 53, 53, 53, 53, 52, 52, 52, 52, 52, 51, 51, 51, 51, 51, 51, 51 },
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{ 50, 50, 50, 50, 50, 50, 50, 50, 51, 51, 51, 51, 51, 52, 52, 52, 52, 53, 53, 53, 54, 54, 55, 55, 55, 56, 56, 57, 57, 58, 58, 59, 59, 60, 60, 61, 62, 62, 63, 63, 64, 65, 65, 66, 67, 67, 68, 69, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 77, 77, 78, 79, 80, 80, 81, 82, 83, 84, 84, 85, 86, 87, 88, 88, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 99, 99, 100, 101, 102, 103, 104, 105, 106, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 136, 136, 137, 136, 136, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 106, 105, 104, 103, 102, 101, 100, 99, 99, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 88, 88, 87, 86, 85, 84, 84, 83, 82, 81, 80, 80, 79, 78, 77, 77, 76, 75, 74, 74, 73, 72, 71, 71, 70, 69, 69, 68, 67, 67, 66, 65, 65, 64, 63, 63, 62, 62, 61, 60, 60, 59, 59, 58, 58, 57, 57, 56, 56, 55, 55, 55, 54, 54, 53, 53, 53, 52, 52, 52, 52, 51, 51, 51, 51, 51, 50, 50, 50, 50, 50, 50, 50 },
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{ 49, 49, 49, 49, 49, 49, 49, 49, 50, 50, 50, 50, 50, 51, 51, 51, 52, 52, 52, 53, 53, 53, 54, 54, 55, 55, 55, 56, 56, 57, 57, 58, 59, 59, 60, 60, 61, 61, 62, 63, 63, 64, 65, 65, 66, 67, 67, 68, 69, 69, 70, 71, 71, 72, 73, 74, 74, 75, 76, 77, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 133, 134, 135, 136, 137, 136, 135, 134, 133, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 77, 76, 75, 74, 74, 73, 72, 71, 71, 70, 69, 69, 68, 67, 67, 66, 65, 65, 64, 63, 63, 62, 61, 61, 60, 60, 59, 59, 58, 57, 57, 56, 56, 55, 55, 55, 54, 54, 53, 53, 53, 52, 52, 52, 51, 51, 51, 50, 50, 50, 50, 50, 49, 49, 49, 49, 49, 49, 49 },
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{ 42, 42, 42, 42, 42, 42, 42, 43, 43, 43, 43, 43, 44, 44, 44, 45, 45, 45, 46, 46, 47, 47, 47, 48, 48, 49, 49, 50, 50, 51, 52, 52, 53, 53, 54, 55, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 65, 66, 67, 68, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 135, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 68, 67, 66, 65, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 55, 54, 53, 53, 52, 52, 51, 50, 50, 49, 49, 48, 48, 47, 47, 47, 46, 46, 45, 45, 45, 44, 44, 44, 43, 43, 43, 43, 43, 42, 42, 42, 42, 42, 42 },
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{ 41, 41, 41, 41, 41, 41, 41, 42, 42, 42, 42, 42, 43, 43, 43, 44, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 50, 51, 51, 52, 53, 53, 54, 55, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 73, 74, 75, 76, 77, 78, 79, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 133, 134, 133, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 55, 54, 53, 53, 52, 51, 51, 50, 50, 49, 49, 48, 48, 47, 47, 46, 46, 45, 45, 44, 44, 44, 43, 43, 43, 42, 42, 42, 42, 42, 41, 41, 41, 41, 41, 41 },
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{ 40, 40, 40, 40, 40, 40, 40, 41, 41, 41, 41, 41, 42, 42, 42, 43, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 48, 49, 49, 50, 51, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 59, 60, 61, 62, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 70, 71, 72, 73, 74, 75, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 75, 74, 73, 72, 71, 70, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 62, 61, 60, 59, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 51, 50, 49, 49, 48, 48, 47, 47, 46, 46, 45, 45, 44, 44, 43, 43, 43, 42, 42, 42, 41, 41, 41, 41, 41, 40, 40, 40, 40, 40, 40 },
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{ 39, 39, 39, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 41, 41, 42, 42, 43, 43, 43, 44, 44, 45, 45, 46, 46, 47, 47, 48, 49, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 60, 61, 62, 63, 63, 64, 65, 66, 67, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 67, 66, 65, 64, 63, 63, 62, 61, 60, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 49, 48, 47, 47, 46, 46, 45, 45, 44, 44, 43, 43, 43, 42, 42, 41, 41, 41, 41, 40, 40, 40, 40, 39, 39, 39, 39, 39, 39 },
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{ 38, 38, 38, 38, 38, 38, 38, 39, 39, 39, 39, 40, 40, 40, 40, 41, 41, 42, 42, 42, 43, 43, 44, 44, 45, 45, 46, 47, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 134, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 47, 46, 45, 45, 44, 44, 43, 43, 42, 42, 42, 41, 41, 40, 40, 40, 40, 39, 39, 39, 39, 38, 38, 38, 38, 38, 38 },
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{ 37, 37, 37, 37, 37, 37, 37, 38, 38, 38, 38, 39, 39, 39, 40, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 45, 46, 46, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 54, 55, 56, 57, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 65, 66, 67, 68, 69, 70, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 57, 56, 55, 54, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 46, 46, 45, 45, 44, 44, 43, 43, 42, 42, 41, 41, 40, 40, 40, 39, 39, 39, 38, 38, 38, 38, 37, 37, 37, 37, 37, 37 },
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{ 36, 36, 36, 36, 36, 36, 36, 37, 37, 37, 37, 38, 38, 38, 39, 39, 39, 40, 40, 41, 41, 42, 42, 43, 43, 44, 44, 45, 46, 46, 47, 48, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 58, 59, 60, 61, 62, 62, 63, 64, 65, 66, 67, 67, 68, 69, 70, 71, 72, 73, 73, 74, 75, 76, 77, 78, 79, 80, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 80, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 68, 67, 67, 66, 65, 64, 63, 62, 62, 61, 60, 59, 58, 58, 57, 56, 55, 55, 54, 53, 52, 52, 51, 50, 50, 49, 48, 48, 47, 46, 46, 45, 44, 44, 43, 43, 42, 42, 41, 41, 40, 40, 39, 39, 39, 38, 38, 38, 37, 37, 37, 37, 36, 36, 36, 36, 36, 36 },
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{ 35, 35, 35, 35, 35, 35, 36, 36, 36, 36, 36, 37, 37, 37, 38, 38, 38, 39, 39, 40, 40, 41, 41, 42, 42, 43, 44, 44, 45, 45, 46, 47, 47, 48, 49, 49, 50, 51, 52, 52, 53, 54, 55, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 75, 76, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 55, 54, 53, 52, 52, 51, 50, 49, 49, 48, 47, 47, 46, 45, 45, 44, 44, 43, 42, 42, 41, 41, 40, 40, 39, 39, 38, 38, 38, 37, 37, 37, 36, 36, 36, 36, 36, 35, 35, 35, 35, 35 },
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{ 34, 34, 34, 34, 34, 34, 35, 35, 35, 35, 35, 36, 36, 36, 37, 37, 38, 38, 38, 39, 39, 40, 40, 41, 42, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 131, 132, 131, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 42, 41, 40, 40, 39, 39, 38, 38, 38, 37, 37, 36, 36, 36, 35, 35, 35, 35, 35, 34, 34, 34, 34, 34 },
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{ 33, 33, 33, 33, 33, 33, 34, 34, 34, 34, 34, 35, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 40, 41, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 53, 54, 55, 56, 57, 57, 58, 59, 60, 61, 62, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 53, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 40, 39, 39, 38, 38, 37, 37, 36, 36, 35, 35, 35, 34, 34, 34, 34, 34, 33, 33, 33, 33, 33 },
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{ 32, 32, 32, 32, 32, 32, 33, 33, 33, 33, 34, 34, 34, 35, 35, 35, 36, 36, 37, 37, 38, 38, 39, 39, 40, 41, 41, 42, 43, 43, 44, 45, 45, 46, 47, 47, 48, 49, 50, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 54, 53, 52, 51, 50, 50, 49, 48, 47, 47, 46, 45, 45, 44, 43, 43, 42, 41, 41, 40, 39, 39, 38, 38, 37, 37, 36, 36, 35, 35, 35, 34, 34, 34, 33, 33, 33, 33, 32, 32, 32, 32, 32 },
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{ 31, 31, 31, 31, 31, 31, 32, 32, 32, 32, 33, 33, 33, 34, 34, 34, 35, 35, 36, 36, 37, 37, 38, 39, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 107, 108, 109, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 132, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 51, 50, 49, 48, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 39, 38, 37, 37, 36, 36, 35, 35, 34, 34, 34, 33, 33, 33, 32, 32, 32, 32, 31, 31, 31, 31, 31 },
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{ 30, 30, 30, 30, 30, 30, 31, 31, 31, 31, 32, 32, 32, 33, 33, 34, 34, 34, 35, 36, 36, 37, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 48, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 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, 130, 131, 130, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 38, 38, 37, 37, 36, 36, 35, 34, 34, 34, 33, 33, 32, 32, 32, 31, 31, 31, 31, 30, 30, 30, 30, 30 },
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{ 29, 29, 29, 29, 29, 29, 30, 30, 30, 30, 31, 31, 31, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 42, 43, 44, 45, 45, 46, 47, 48, 49, 49, 50, 51, 52, 53, 54, 54, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 67, 68, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 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, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 68, 67, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 55, 54, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 45, 44, 43, 42, 42, 41, 40, 40, 39, 38, 38, 37, 36, 36, 35, 35, 34, 34, 33, 33, 32, 32, 31, 31, 31, 30, 30, 30, 30, 29, 29, 29, 29, 29 },
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{ 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 33, 34, 34, 35, 36, 36, 37, 38, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 46, 47, 48, 49, 50, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 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, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 131, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 51, 50, 50, 49, 48, 47, 46, 46, 45, 44, 43, 43, 42, 41, 40, 40, 39, 38, 38, 37, 36, 36, 35, 34, 34, 33, 33, 32, 32, 31, 31, 30, 30, 30, 29, 29, 29, 29, 28, 28, 28, 28, 28 },
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{ 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 29, 29, 30, 30, 30, 31, 31, 32, 32, 33, 34, 34, 35, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 52, 53, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 99, 100, 101, 102, 103, 104, 105, 106, 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, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 43, 42, 41, 40, 40, 39, 38, 37, 37, 36, 35, 35, 34, 34, 33, 32, 32, 31, 31, 30, 30, 30, 29, 29, 28, 28, 28, 28, 27, 27, 27, 27, 27 },
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{ 26, 26, 26, 26, 26, 26, 27, 27, 27, 28, 28, 28, 29, 29, 30, 30, 31, 31, 32, 32, 33, 33, 34, 35, 35, 36, 37, 37, 38, 39, 40, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 49, 49, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 92, 93, 94, 95, 96, 97, 98, 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, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 44, 43, 42, 41, 40, 40, 39, 38, 37, 37, 36, 35, 35, 34, 33, 33, 32, 32, 31, 31, 30, 30, 29, 29, 28, 28, 28, 27, 27, 27, 26, 26, 26, 26, 26 },
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{ 25, 25, 25, 25, 25, 25, 26, 26, 26, 27, 27, 27, 28, 28, 29, 29, 30, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 41, 42, 43, 44, 45, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 85, 86, 87, 88, 89, 90, 91, 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, 126, 127, 128, 129, 130, 129, 128, 127, 126, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 45, 44, 43, 42, 41, 41, 40, 39, 38, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 31, 30, 30, 29, 29, 28, 28, 27, 27, 27, 26, 26, 26, 25, 25, 25, 25, 25 },
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{ 24, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 28, 28, 29, 29, 30, 31, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84, 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, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 55, 54, 53, 52, 51, 50, 49, 48, 48, 47, 46, 45, 44, 43, 42, 42, 41, 40, 39, 38, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 31, 30, 29, 29, 28, 28, 27, 27, 26, 26, 26, 25, 25, 25, 25, 24, 24, 24, 24 },
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{ 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 26, 26, 27, 27, 28, 29, 29, 30, 30, 31, 32, 33, 33, 34, 35, 35, 36, 37, 38, 39, 39, 40, 41, 42, 43, 44, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 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, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 130, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 44, 44, 43, 42, 41, 40, 39, 39, 38, 37, 36, 35, 35, 34, 33, 33, 32, 31, 30, 30, 29, 29, 28, 27, 27, 26, 26, 25, 25, 25, 24, 24, 24, 24, 23, 23, 23, 23 },
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{ 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 28, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 36, 37, 38, 39, 40, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 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, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 42, 41, 40, 40, 39, 38, 37, 36, 36, 35, 34, 33, 33, 32, 31, 30, 30, 29, 28, 28, 27, 27, 26, 26, 25, 25, 24, 24, 23, 23, 23, 23, 22, 22, 22, 22 },
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{ 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 33, 34, 35, 36, 37, 37, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 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, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 51, 50, 49, 48, 47, 46, 45, 44, 43, 43, 42, 41, 40, 39, 38, 37, 37, 36, 35, 34, 33, 33, 32, 31, 30, 30, 29, 28, 28, 27, 26, 26, 25, 25, 24, 24, 23, 23, 22, 22, 22, 22, 21, 21, 21, 21 },
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{ 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 26, 26, 27, 28, 28, 29, 30, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 39, 40, 41, 42, 43, 44, 45, 46, 47, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 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, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 47, 46, 45, 44, 43, 42, 41, 40, 39, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 30, 29, 28, 28, 27, 26, 26, 25, 24, 24, 23, 23, 22, 22, 22, 21, 21, 21, 20, 20, 20, 20 },
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{ 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 24, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 36, 37, 38, 39, 40, 41, 42, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 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, 121, 122, 123, 124, 125, 126, 127, 128, 129, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 42, 41, 40, 39, 38, 37, 36, 36, 35, 34, 33, 32, 31, 31, 30, 29, 28, 28, 27, 26, 25, 25, 24, 24, 23, 22, 22, 21, 21, 21, 20, 20, 20, 19, 19, 19, 19 },
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{ 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 21, 21, 22, 22, 23, 23, 24, 25, 25, 26, 27, 28, 28, 29, 30, 31, 32, 32, 33, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 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, 109, 110, 111, 112, 113, 114, 115, 116, 117, 118, 119, 120, 121, 122, 123, 124, 125, 126, 127, 128, 129, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 38, 37, 36, 35, 34, 33, 32, 32, 31, 30, 29, 28, 28, 27, 26, 25, 25, 24, 23, 23, 22, 22, 21, 21, 20, 20, 19, 19, 19, 18, 18, 18, 18 },
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{ 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 21, 22, 23, 23, 24, 25, 25, 26, 27, 28, 29, 29, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 29, 28, 27, 26, 25, 25, 24, 23, 23, 22, 21, 21, 20, 20, 19, 19, 18, 18, 18, 17, 17, 17, 17 },
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{ 16, 16, 16, 16, 16, 17, 17, 17, 18, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 31, 32, 33, 34, 35, 36, 37, 38, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 38, 37, 36, 35, 34, 33, 32, 31, 31, 30, 29, 28, 27, 26, 26, 25, 24, 23, 23, 22, 21, 21, 20, 19, 19, 18, 18, 17, 17, 17, 16, 16, 16, 16 },
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{ 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 18, 19, 19, 20, 21, 21, 22, 23, 23, 24, 25, 26, 27, 27, 28, 29, 30, 31, 32, 33, 34, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 28, 27, 27, 26, 25, 24, 23, 23, 22, 21, 21, 20, 19, 19, 18, 17, 17, 17, 16, 16, 16, 15, 15, 15 },
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{ 14, 14, 14, 14, 15, 15, 15, 16, 16, 17, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 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, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 30, 29, 28, 27, 26, 25, 24, 24, 23, 22, 21, 21, 20, 19, 18, 18, 17, 17, 16, 16, 15, 15, 15, 14, 14, 14 },
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{ 13, 13, 13, 13, 14, 14, 14, 15, 15, 16, 16, 17, 18, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 26, 25, 24, 23, 22, 21, 21, 20, 19, 18, 18, 17, 16, 16, 15, 15, 14, 14, 14, 13, 13, 13 },
|
||||
{ 12, 12, 12, 12, 13, 13, 13, 14, 14, 15, 16, 16, 17, 18, 18, 19, 20, 21, 22, 22, 23, 24, 25, 26, 27, 28, 29, 30, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 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, 128, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 30, 29, 28, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 18, 18, 17, 16, 16, 15, 14, 14, 13, 13, 13, 12, 12, 12 },
|
||||
{ 11, 11, 11, 11, 12, 12, 13, 13, 14, 14, 15, 16, 16, 17, 18, 19, 19, 20, 21, 22, 23, 24, 25, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 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, 121, 122, 123, 124, 125, 126, 127, 128, 127, 126, 125, 124, 123, 122, 121, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 25, 24, 23, 22, 21, 20, 19, 19, 18, 17, 16, 16, 15, 14, 14, 13, 13, 12, 12, 11, 11, 11 },
|
||||
{ 10, 10, 10, 10, 11, 11, 12, 12, 13, 13, 14, 15, 16, 16, 17, 18, 19, 20, 21, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 21, 20, 19, 18, 17, 16, 16, 15, 14, 13, 13, 12, 12, 11, 11, 10, 10, 10 },
|
||||
{ 9, 9, 9, 9, 10, 10, 11, 11, 12, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 14, 13, 13, 12, 11, 11, 10, 10, 9, 9, 9 },
|
||||
{ 8, 8, 8, 9, 9, 9, 10, 11, 11, 12, 13, 14, 14, 15, 16, 17, 18, 19, 20, 21, 22, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 22, 21, 20, 19, 18, 17, 16, 15, 14, 14, 13, 12, 11, 11, 10, 9, 9, 9, 8, 8 },
|
||||
{ 7, 7, 7, 8, 8, 9, 9, 10, 11, 11, 12, 13, 14, 15, 16, 17, 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, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 17, 16, 15, 14, 13, 12, 11, 11, 10, 9, 9, 8, 8, 7, 7 },
|
||||
{ 6, 6, 6, 7, 7, 8, 8, 9, 10, 11, 12, 13, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 13, 12, 11, 10, 9, 8, 8, 7, 7, 6, 6 },
|
||||
{ 5, 5, 5, 6, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 6, 5, 5 },
|
||||
{ 4, 4, 4, 5, 6, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 6, 5, 4, 4 },
|
||||
{ 3, 3, 4, 4, 5, 6, 7, 8, 9, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 9, 8, 7, 6, 5, 4, 4, 3 },
|
||||
{ 2, 2, 3, 4, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 4, 3, 2 },
|
||||
{ 1, 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, 127, 126, 125, 124, 123, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 110, 109, 108, 107, 106, 105, 104, 103, 102, 101, 100, 99, 98, 97, 96, 95, 94, 93, 92, 91, 90, 89, 88, 87, 86, 85, 84, 83, 82, 81, 80, 79, 78, 77, 76, 75, 74, 73, 72, 71, 70, 69, 68, 67, 66, 65, 64, 63, 62, 61, 60, 59, 58, 57, 56, 55, 54, 53, 52, 51, 50, 49, 48, 47, 46, 45, 44, 43, 42, 41, 40, 39, 38, 37, 36, 35, 34, 33, 32, 31, 30, 29, 28, 27, 26, 25, 24, 23, 22, 21, 20, 19, 18, 17, 16, 15, 14, 13, 12, 11, 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 }
|
||||
};
|
||||
|
||||
/// <remarks>generated with ruby: <c>def f(x, y) x1 = x < 128 ? x : x - 256; (180 * (y < 128 ? Math.atan2(y, x1) / Math::PI : Math.atan2(y - 256, x1) / Math::PI + 2)).round end; puts (0..255).map {|x| "{ " + (0..255).map {|y| f(x, y)} * ", " + " }"} * ",\n"</c></remarks>
|
||||
public static readonly ushort[,] _xy2θ = new ushort[,] {
|
||||
{ 0, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270 },
|
||||
{ 0, 45, 63, 72, 76, 79, 81, 82, 83, 84, 84, 85, 85, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 273, 273, 273, 273, 273, 273, 274, 274, 274, 274, 275, 275, 276, 276, 277, 278, 279, 281, 284, 288, 297, 315 },
|
||||
{ 0, 27, 45, 56, 63, 68, 72, 74, 76, 77, 79, 80, 81, 81, 82, 82, 83, 83, 84, 84, 84, 85, 85, 85, 85, 85, 86, 86, 86, 86, 86, 86, 86, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 87, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 88, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 89, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 271, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 272, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 273, 274, 274, 274, 274, 274, 274, 274, 275, 275, 275, 275, 275, 276, 276, 276, 277, 277, 278, 278, 279, 279, 280, 281, 283, 284, 286, 288, 292, 297, 304, 315, 333 },
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|
||||
{ 180, 176, 171, 167, 163, 159, 155, 152, 148, 145, 142, 140, 137, 135, 133, 131, 129, 127, 126, 124, 123, 122, 121, 119, 118, 117, 117, 116, 115, 114, 113, 113, 112, 112, 111, 110, 110, 109, 109, 108, 108, 108, 107, 107, 106, 106, 106, 105, 105, 105, 105, 104, 104, 104, 104, 103, 103, 103, 103, 102, 102, 102, 102, 102, 101, 101, 101, 101, 101, 101, 101, 100, 100, 100, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 260, 260, 260, 259, 259, 259, 259, 259, 259, 259, 258, 258, 258, 258, 258, 257, 257, 257, 257, 256, 256, 256, 256, 255, 255, 255, 255, 254, 254, 254, 253, 253, 252, 252, 252, 251, 251, 250, 250, 249, 248, 248, 247, 247, 246, 245, 244, 243, 243, 242, 241, 239, 238, 237, 236, 234, 233, 231, 229, 227, 225, 223, 220, 218, 215, 212, 208, 205, 201, 197, 193, 189, 184 },
|
||||
{ 180, 175, 171, 166, 162, 157, 153, 150, 146, 143, 140, 137, 135, 133, 131, 129, 127, 125, 124, 122, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 112, 111, 111, 110, 109, 109, 108, 108, 108, 107, 107, 106, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 103, 103, 102, 102, 102, 102, 101, 101, 101, 101, 101, 101, 100, 100, 100, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 260, 260, 260, 259, 259, 259, 259, 259, 259, 258, 258, 258, 258, 257, 257, 257, 257, 257, 256, 256, 256, 255, 255, 255, 254, 254, 254, 253, 253, 252, 252, 252, 251, 251, 250, 249, 249, 248, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 238, 236, 235, 233, 231, 229, 227, 225, 223, 220, 217, 214, 210, 207, 203, 198, 194, 189, 185 },
|
||||
{ 180, 175, 170, 165, 160, 156, 151, 148, 144, 141, 138, 135, 133, 130, 128, 126, 125, 123, 121, 120, 119, 118, 117, 116, 115, 114, 113, 112, 111, 111, 110, 110, 109, 108, 108, 107, 107, 107, 106, 106, 105, 105, 105, 104, 104, 104, 103, 103, 103, 103, 102, 102, 102, 102, 102, 101, 101, 101, 101, 101, 100, 100, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 260, 260, 259, 259, 259, 259, 259, 258, 258, 258, 258, 258, 257, 257, 257, 257, 256, 256, 256, 255, 255, 255, 254, 254, 253, 253, 253, 252, 252, 251, 250, 250, 249, 249, 248, 247, 246, 245, 244, 243, 242, 241, 240, 239, 237, 235, 234, 232, 230, 227, 225, 222, 219, 216, 212, 209, 204, 200, 195, 190, 185 },
|
||||
{ 180, 174, 169, 163, 158, 153, 149, 145, 141, 138, 135, 132, 130, 128, 126, 124, 122, 120, 119, 118, 117, 115, 114, 113, 113, 112, 111, 110, 110, 109, 108, 108, 107, 107, 106, 106, 106, 105, 105, 104, 104, 104, 103, 103, 103, 103, 102, 102, 102, 102, 101, 101, 101, 101, 100, 100, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 260, 260, 259, 259, 259, 259, 258, 258, 258, 258, 257, 257, 257, 257, 256, 256, 256, 255, 255, 254, 254, 254, 253, 253, 252, 252, 251, 250, 250, 249, 248, 247, 247, 246, 245, 243, 242, 241, 240, 238, 236, 234, 232, 230, 228, 225, 222, 219, 215, 211, 207, 202, 197, 191, 186 },
|
||||
{ 180, 174, 167, 162, 156, 151, 146, 142, 138, 135, 132, 129, 127, 125, 123, 121, 119, 118, 117, 115, 114, 113, 112, 111, 111, 110, 109, 108, 108, 107, 107, 106, 106, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 102, 101, 101, 101, 101, 100, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 260, 259, 259, 259, 259, 258, 258, 258, 258, 257, 257, 257, 256, 256, 256, 255, 255, 254, 254, 253, 253, 252, 252, 251, 250, 249, 249, 248, 247, 246, 245, 243, 242, 241, 239, 237, 235, 233, 231, 228, 225, 222, 218, 214, 209, 204, 198, 193, 186 },
|
||||
{ 180, 173, 166, 159, 153, 148, 143, 139, 135, 132, 129, 126, 124, 122, 120, 118, 117, 115, 114, 113, 112, 111, 110, 109, 108, 108, 107, 107, 106, 105, 105, 104, 104, 104, 103, 103, 103, 102, 102, 102, 101, 101, 101, 101, 100, 100, 100, 100, 99, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 261, 260, 260, 260, 260, 259, 259, 259, 259, 258, 258, 258, 257, 257, 257, 256, 256, 256, 255, 255, 254, 253, 253, 252, 252, 251, 250, 249, 248, 247, 246, 245, 243, 242, 240, 238, 236, 234, 231, 228, 225, 221, 217, 212, 207, 201, 194, 187 },
|
||||
{ 180, 172, 164, 157, 150, 144, 139, 135, 131, 128, 125, 122, 120, 118, 117, 115, 114, 112, 111, 110, 109, 108, 108, 107, 106, 106, 105, 105, 104, 104, 103, 103, 102, 102, 102, 101, 101, 101, 100, 100, 100, 100, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 260, 260, 260, 260, 259, 259, 259, 258, 258, 258, 257, 257, 256, 256, 255, 255, 254, 254, 253, 252, 252, 251, 250, 249, 248, 246, 245, 243, 242, 240, 238, 235, 232, 229, 225, 221, 216, 210, 203, 196, 188 },
|
||||
{ 180, 171, 162, 153, 146, 140, 135, 131, 127, 124, 121, 119, 117, 115, 113, 112, 111, 109, 108, 108, 107, 106, 105, 105, 104, 103, 103, 103, 102, 102, 101, 101, 101, 100, 100, 100, 99, 99, 99, 99, 99, 98, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 262, 261, 261, 261, 261, 261, 260, 260, 260, 259, 259, 259, 258, 258, 257, 257, 257, 256, 255, 255, 254, 253, 252, 252, 251, 249, 248, 247, 245, 243, 241, 239, 236, 233, 229, 225, 220, 214, 207, 198, 189 },
|
||||
{ 180, 169, 158, 149, 141, 135, 130, 126, 122, 119, 117, 114, 113, 111, 110, 108, 107, 106, 106, 105, 104, 103, 103, 102, 102, 101, 101, 100, 100, 100, 99, 99, 99, 99, 98, 98, 98, 98, 97, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 263, 262, 262, 262, 262, 261, 261, 261, 261, 260, 260, 260, 259, 259, 258, 258, 257, 257, 256, 255, 254, 254, 253, 252, 250, 249, 247, 246, 243, 241, 238, 234, 230, 225, 219, 211, 202, 191 },
|
||||
{ 180, 166, 153, 143, 135, 129, 124, 120, 117, 114, 112, 110, 108, 107, 106, 105, 104, 103, 103, 102, 101, 101, 100, 100, 99, 99, 99, 98, 98, 98, 98, 97, 97, 97, 97, 97, 96, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 264, 263, 263, 263, 263, 263, 262, 262, 262, 262, 261, 261, 261, 260, 260, 259, 259, 258, 257, 257, 256, 255, 254, 253, 252, 250, 248, 246, 243, 240, 236, 231, 225, 217, 207, 194 },
|
||||
{ 180, 162, 146, 135, 127, 121, 117, 113, 111, 108, 107, 105, 104, 103, 102, 101, 101, 100, 99, 99, 99, 98, 98, 97, 97, 97, 97, 96, 96, 96, 96, 96, 95, 95, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 265, 265, 264, 264, 264, 264, 264, 263, 263, 263, 263, 262, 262, 261, 261, 261, 260, 259, 259, 258, 257, 256, 255, 253, 252, 249, 247, 243, 239, 233, 225, 214, 198 },
|
||||
{ 180, 153, 135, 124, 117, 112, 108, 106, 104, 103, 101, 100, 99, 99, 98, 98, 97, 97, 96, 96, 96, 95, 95, 95, 95, 95, 94, 94, 94, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 93, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 266, 266, 266, 265, 265, 265, 265, 265, 264, 264, 264, 263, 263, 262, 262, 261, 261, 260, 259, 257, 256, 254, 252, 248, 243, 236, 225, 207 },
|
||||
{ 180, 135, 117, 108, 104, 101, 99, 98, 97, 96, 96, 95, 95, 94, 94, 94, 94, 93, 93, 93, 93, 93, 93, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 92, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 91, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 90, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 270, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 269, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 268, 267, 267, 267, 267, 267, 267, 266, 266, 266, 266, 265, 265, 264, 264, 263, 262, 261, 259, 256, 252, 243, 225 }
|
||||
};
|
||||
}
|
||||
}
|
||||
|
|
@ -62,16 +62,6 @@
|
|||
//
|
||||
this.ManualX.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.ManualX.Location = new System.Drawing.Point(205, 3);
|
||||
this.ManualX.Maximum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.ManualX.Minimum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
-2147483648});
|
||||
this.ManualX.Name = "ManualX";
|
||||
this.ManualX.Size = new System.Drawing.Size(44, 20);
|
||||
this.ManualX.TabIndex = 24;
|
||||
|
|
@ -91,16 +81,6 @@
|
|||
//
|
||||
this.ManualY.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.ManualY.Location = new System.Drawing.Point(205, 29);
|
||||
this.ManualY.Maximum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.ManualY.Minimum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
-2147483648});
|
||||
this.ManualY.Name = "ManualY";
|
||||
this.ManualY.RightToLeft = System.Windows.Forms.RightToLeft.No;
|
||||
this.ManualY.Size = new System.Drawing.Size(44, 20);
|
||||
|
|
@ -121,16 +101,6 @@
|
|||
//
|
||||
this.MaxXNumeric.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.MaxXNumeric.Location = new System.Drawing.Point(205, 124);
|
||||
this.MaxXNumeric.Maximum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.MaxXNumeric.Minimum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
-2147483648});
|
||||
this.MaxXNumeric.Name = "MaxXNumeric";
|
||||
this.MaxXNumeric.Size = new System.Drawing.Size(44, 20);
|
||||
this.MaxXNumeric.TabIndex = 28;
|
||||
|
|
@ -141,16 +111,6 @@
|
|||
//
|
||||
this.MaxYNumeric.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.MaxYNumeric.Location = new System.Drawing.Point(205, 147);
|
||||
this.MaxYNumeric.Maximum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.MaxYNumeric.Minimum = new decimal(new int[] {
|
||||
127,
|
||||
0,
|
||||
0,
|
||||
-2147483648});
|
||||
this.MaxYNumeric.Name = "MaxYNumeric";
|
||||
this.MaxYNumeric.RightToLeft = System.Windows.Forms.RightToLeft.No;
|
||||
this.MaxYNumeric.Size = new System.Drawing.Size(44, 20);
|
||||
|
|
@ -171,13 +131,8 @@
|
|||
// manualR
|
||||
//
|
||||
this.manualR.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.manualR.DecimalPlaces = 2;
|
||||
this.manualR.Location = new System.Drawing.Point(193, 58);
|
||||
this.manualR.Maximum = new decimal(new int[] {
|
||||
182,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.manualR.Maximum = 181.0M;
|
||||
this.manualR.Name = "manualR";
|
||||
this.manualR.Size = new System.Drawing.Size(56, 20);
|
||||
this.manualR.TabIndex = 31;
|
||||
|
|
@ -185,18 +140,8 @@
|
|||
// manualTheta
|
||||
//
|
||||
this.manualTheta.Anchor = ((System.Windows.Forms.AnchorStyles)((System.Windows.Forms.AnchorStyles.Top | System.Windows.Forms.AnchorStyles.Right)));
|
||||
this.manualTheta.DecimalPlaces = 2;
|
||||
this.manualTheta.Location = new System.Drawing.Point(193, 84);
|
||||
this.manualTheta.Maximum = new decimal(new int[] {
|
||||
360,
|
||||
0,
|
||||
0,
|
||||
0});
|
||||
this.manualTheta.Minimum = new decimal(new int[] {
|
||||
360,
|
||||
0,
|
||||
0,
|
||||
-2147483648});
|
||||
this.manualTheta.Maximum = 359.0M;
|
||||
this.manualTheta.Name = "manualTheta";
|
||||
this.manualTheta.Size = new System.Drawing.Size(56, 20);
|
||||
this.manualTheta.TabIndex = 33;
|
||||
|
|
@ -209,7 +154,7 @@
|
|||
this.thetaLabel.Name = "thetaLabel";
|
||||
this.thetaLabel.Size = new System.Drawing.Size(20, 13);
|
||||
this.thetaLabel.TabIndex = 32;
|
||||
this.thetaLabel.Text = "θ °";
|
||||
this.thetaLabel.Text = "θ (°)";
|
||||
//
|
||||
// AnalogStick
|
||||
//
|
||||
|
|
|
|||
|
|
@ -1,22 +1,37 @@
|
|||
using System;
|
||||
#nullable enable
|
||||
|
||||
using System;
|
||||
using System.Windows.Forms;
|
||||
|
||||
using BizHawk.Emulation.Common;
|
||||
using BizHawk.Client.Common;
|
||||
using BizHawk.Common.NumberExtensions;
|
||||
using BizHawk.Common;
|
||||
|
||||
namespace BizHawk.Client.EmuHawk
|
||||
{
|
||||
public partial class VirtualPadAnalogStick : UserControl, IVirtualPadControl
|
||||
{
|
||||
#region Fields
|
||||
/// <summary>for coordinate transformation when non orthogonal (like PSX for example)</summary>
|
||||
private int rangeAverageX;
|
||||
|
||||
private bool _programmaticallyUpdatingNumerics;
|
||||
private bool _readonly;
|
||||
private int rangeAverageX; //for coordinate transformation when non orthogonal (like PSX for example)
|
||||
/// <inheritdoc cref="rangeAverageX"/>
|
||||
private int rangeAverageY;
|
||||
|
||||
#endregion
|
||||
private Range<int> _rangeX = AnalogStickPanel.DefaultRange;
|
||||
|
||||
private Range<int> _rangeY = AnalogStickPanel.DefaultRange;
|
||||
|
||||
private bool _readonly;
|
||||
|
||||
private bool _reverseX;
|
||||
|
||||
private bool _reverseY;
|
||||
|
||||
private bool _updatingFromAnalog;
|
||||
|
||||
private bool _updatingFromPolar;
|
||||
|
||||
private bool _updatingFromXY;
|
||||
|
||||
public VirtualPadAnalogStick()
|
||||
{
|
||||
|
|
@ -29,54 +44,58 @@ namespace BizHawk.Client.EmuHawk
|
|||
manualTheta.ValueChanged += PolarNumeric_Changed;
|
||||
}
|
||||
|
||||
public float[] RangeX = { -128f, 0.0f, 127f };
|
||||
public float[] RangeY = { -128f, 0.0f, 127f };
|
||||
private bool ReverseX;
|
||||
private bool ReverseY;
|
||||
public float[] RangeX
|
||||
{
|
||||
set
|
||||
{
|
||||
if (value.Length != 3) throw new ArgumentException("must be float[3]", nameof(value));
|
||||
#if false
|
||||
_midX = (int) value[1];
|
||||
#endif
|
||||
_reverseX = value[2] < value[0];
|
||||
_rangeX = _reverseX ? ((int) value[2]).RangeTo((int) value[0]) : ((int) value[0]).RangeTo((int) value[2]);
|
||||
}
|
||||
}
|
||||
|
||||
public float[] RangeY
|
||||
{
|
||||
set
|
||||
{
|
||||
if (value.Length != 3) throw new ArgumentException("must be float[3]", nameof(value));
|
||||
#if false
|
||||
_midY = (int) value[1];
|
||||
#endif
|
||||
_reverseY = value[2] < value[0];
|
||||
_rangeY = _reverseY ? ((int) value[2]).RangeTo((int) value[0]) : ((int) value[0]).RangeTo((int) value[2]);
|
||||
}
|
||||
}
|
||||
|
||||
public string SecondaryName { get; set; }
|
||||
|
||||
|
||||
private void VirtualPadAnalogStick_Load(object sender, EventArgs e)
|
||||
{
|
||||
AnalogStick.Name = Name;
|
||||
AnalogStick.XName = Name;
|
||||
AnalogStick.YName = !string.IsNullOrEmpty(SecondaryName)
|
||||
? SecondaryName
|
||||
: Name.Replace("X", "Y"); // Fallback
|
||||
if (RangeX[0] > RangeX[2])
|
||||
{
|
||||
RangeX = new[] { RangeX[2], RangeX[1], RangeX[0] };
|
||||
ReverseX = true;
|
||||
}
|
||||
AnalogStick.SetRangeX(RangeX);
|
||||
if (RangeY[0] > RangeY[2])
|
||||
{
|
||||
RangeY = new[] { RangeY[2], RangeY[1], RangeY[0] };
|
||||
ReverseY = true;
|
||||
}
|
||||
AnalogStick.SetRangeY(RangeY);
|
||||
|
||||
ManualX.Minimum = (decimal)RangeX[0];
|
||||
ManualX.Maximum = (decimal)RangeX[2];
|
||||
|
||||
ManualY.Minimum = (decimal)RangeX[0];
|
||||
ManualY.Maximum = (decimal)RangeX[2];
|
||||
AnalogStick.XName = AnalogStick.Name = Name;
|
||||
AnalogStick.SetRangeX(_rangeX);
|
||||
AnalogStick.YName = !string.IsNullOrEmpty(SecondaryName) ? SecondaryName : Name.Replace("X", "Y");
|
||||
AnalogStick.SetRangeY(_rangeY);
|
||||
|
||||
ManualX.Minimum = _rangeX.Start;
|
||||
ManualX.Maximum = _rangeX.EndInclusive;
|
||||
ManualY.Minimum = _rangeY.Start;
|
||||
ManualY.Maximum = _rangeY.EndInclusive;
|
||||
MaxXNumeric.Minimum = 1;
|
||||
MaxXNumeric.Maximum = 100;
|
||||
MaxXNumeric.Value = 100;
|
||||
|
||||
MaxYNumeric.Minimum = 1;
|
||||
MaxYNumeric.Maximum = 100;
|
||||
MaxYNumeric.Value = 100; // Note: these trigger change events that change the analog stick too
|
||||
|
||||
rangeAverageX = (int)((RangeX[0] + RangeX[2]) / 2);
|
||||
rangeAverageY = (int)((RangeY[0] + RangeY[2]) / 2);
|
||||
// these trigger Change events that set the analog stick's values too
|
||||
MaxXNumeric.Value = 100;
|
||||
MaxYNumeric.Value = 100;
|
||||
|
||||
rangeAverageX = (_rangeX.Start + _rangeX.EndInclusive) / 2;
|
||||
rangeAverageY = (_rangeY.Start + _rangeY.EndInclusive) / 2;
|
||||
}
|
||||
|
||||
#region IVirtualPadControl Implementation
|
||||
|
||||
public void UpdateValues()
|
||||
{
|
||||
// Nothing to do
|
||||
|
|
@ -103,43 +122,33 @@ namespace BizHawk.Client.EmuHawk
|
|||
AnalogStick.HasValue = false;
|
||||
}
|
||||
|
||||
public void Clear()
|
||||
{
|
||||
AnalogStick.Clear();
|
||||
}
|
||||
public void Clear() => AnalogStick.Clear();
|
||||
|
||||
public bool ReadOnly
|
||||
{
|
||||
get => _readonly;
|
||||
|
||||
set
|
||||
{
|
||||
if (_readonly != value)
|
||||
{
|
||||
XLabel.Enabled =
|
||||
ManualX.Enabled =
|
||||
YLabel.Enabled =
|
||||
ManualY.Enabled =
|
||||
MaxLabel.Enabled =
|
||||
MaxXNumeric.Enabled =
|
||||
MaxYNumeric.Enabled =
|
||||
manualR.Enabled =
|
||||
rLabel.Enabled =
|
||||
manualTheta.Enabled =
|
||||
thetaLabel.Enabled =
|
||||
if (_readonly == value) return;
|
||||
XLabel.Enabled =
|
||||
ManualX.Enabled =
|
||||
YLabel.Enabled =
|
||||
ManualY.Enabled =
|
||||
MaxLabel.Enabled =
|
||||
MaxXNumeric.Enabled =
|
||||
MaxYNumeric.Enabled =
|
||||
manualR.Enabled =
|
||||
rLabel.Enabled =
|
||||
manualTheta.Enabled =
|
||||
thetaLabel.Enabled =
|
||||
!value;
|
||||
|
||||
AnalogStick.ReadOnly =
|
||||
_readonly =
|
||||
AnalogStick.ReadOnly =
|
||||
_readonly =
|
||||
value;
|
||||
|
||||
Refresh();
|
||||
}
|
||||
Refresh();
|
||||
}
|
||||
}
|
||||
|
||||
#endregion
|
||||
|
||||
public void Bump(int? x, int? y)
|
||||
{
|
||||
if (x.HasValue)
|
||||
|
|
@ -157,118 +166,90 @@ namespace BizHawk.Client.EmuHawk
|
|||
SetNumericsFromAnalog();
|
||||
}
|
||||
|
||||
public void SetPrevious(IController previous)
|
||||
{
|
||||
AnalogStick.SetPrevious(previous);
|
||||
}
|
||||
public void SetPrevious(IController previous) => AnalogStick.SetPrevious(previous);
|
||||
|
||||
private void ManualXY_ValueChanged(object sender, EventArgs e)
|
||||
{
|
||||
SetAnalogControlFromNumerics();
|
||||
if (_updatingFromAnalog || _updatingFromPolar) return;
|
||||
_updatingFromXY = true;
|
||||
|
||||
var x = (sbyte) ManualX.Value;
|
||||
var y = (sbyte) ManualY.Value;
|
||||
var (r, θ) = PolarRectConversion.RectToPolarLookup(x, y);
|
||||
SetAnalog(x, y);
|
||||
SetPolar(r, θ);
|
||||
|
||||
_updatingFromXY = false;
|
||||
}
|
||||
|
||||
private void MaxManualXY_ValueChanged(object sender, EventArgs e)
|
||||
{
|
||||
SetAnalogMaxFromNumerics();
|
||||
}
|
||||
=> AnalogStick.SetUserRange(_reverseX ? -MaxXNumeric.Value : MaxXNumeric.Value, _reverseY ? -MaxYNumeric.Value : MaxYNumeric.Value);
|
||||
|
||||
private void PolarNumeric_Changed(object sender, EventArgs e)
|
||||
{
|
||||
ManualX.ValueChanged -= ManualXY_ValueChanged; //TODO is setting and checking a bool faster than subscription?
|
||||
ManualY.ValueChanged -= ManualXY_ValueChanged;
|
||||
if (_updatingFromAnalog || _updatingFromXY) return;
|
||||
_updatingFromPolar = true;
|
||||
|
||||
var rect = PolarRectConversion.PolarDegToRect((double) manualR.Value, (double) manualTheta.Value);
|
||||
rect = new Tuple<double, double>(
|
||||
rangeAverageX + Math.Ceiling(rect.Item1).Clamp(-127, 127),
|
||||
rangeAverageY + Math.Ceiling(rect.Item2).Clamp(-127, 127));
|
||||
ManualX.Value = (decimal) rect.Item1;
|
||||
ManualY.Value = (decimal) rect.Item2;
|
||||
AnalogStick.X = (int) rect.Item1;
|
||||
AnalogStick.Y = (int) rect.Item2;
|
||||
AnalogStick.HasValue = true;
|
||||
AnalogStick.Refresh();
|
||||
var (x, y) = PolarRectConversion.PolarToRectLookup((ushort) manualR.Value, (ushort) manualTheta.Value);
|
||||
var x1 = (rangeAverageX + x).ConstrainWithin(_rangeX);
|
||||
var y1 = (rangeAverageY + y).ConstrainWithin(_rangeY);
|
||||
SetAnalog(x1, y1);
|
||||
SetXY(x1, y1);
|
||||
|
||||
ManualX.ValueChanged += ManualXY_ValueChanged;
|
||||
ManualY.ValueChanged += ManualXY_ValueChanged;
|
||||
_updatingFromPolar = false;
|
||||
}
|
||||
|
||||
private void SetAnalogControlFromNumerics()
|
||||
private void SetAnalog(int x, int y)
|
||||
{
|
||||
if (!_programmaticallyUpdatingNumerics)
|
||||
{
|
||||
AnalogStick.X = (int)ManualX.Value;
|
||||
AnalogStick.Y = (int)ManualY.Value;
|
||||
AnalogStick.HasValue = true;
|
||||
AnalogStick.Refresh();
|
||||
}
|
||||
AnalogStick.X = x;
|
||||
AnalogStick.Y = y;
|
||||
AnalogStick.HasValue = true;
|
||||
AnalogStick.Refresh();
|
||||
}
|
||||
|
||||
/// <remarks>setting <see cref="NumericUpDown.Value"/> causes a draw, so we avoid it unless necessary</remarks>
|
||||
private void SetPolar(decimal r, decimal θ)
|
||||
{
|
||||
if (manualR.Value != r) manualR.Value = r;
|
||||
if (manualTheta.Value != θ) manualTheta.Value = θ;
|
||||
}
|
||||
|
||||
/// <inheritdoc cref="SetPolar"/>
|
||||
private void SetXY(decimal x, decimal y)
|
||||
{
|
||||
if (ManualX.Value != x) ManualX.Value = x;
|
||||
if (ManualY.Value != y) ManualY.Value = y;
|
||||
}
|
||||
|
||||
private void SetNumericsFromAnalog()
|
||||
{
|
||||
_programmaticallyUpdatingNumerics = true;
|
||||
_updatingFromAnalog = true;
|
||||
|
||||
if (AnalogStick.HasValue)
|
||||
{
|
||||
// Setting .Value of a numeric causes a draw, so avoid it unless necessary
|
||||
if (ManualX.Value != AnalogStick.X)
|
||||
{
|
||||
ManualX.Value = AnalogStick.X;
|
||||
}
|
||||
|
||||
if (ManualY.Value != AnalogStick.Y)
|
||||
{
|
||||
ManualY.Value = AnalogStick.Y;
|
||||
}
|
||||
var x = AnalogStick.X - rangeAverageX;
|
||||
var y = AnalogStick.Y - rangeAverageY;
|
||||
var (r, θ) = PolarRectConversion.RectToPolarLookup((sbyte) x, (sbyte) y);
|
||||
SetPolar(r, θ);
|
||||
SetXY(x, y);
|
||||
}
|
||||
else
|
||||
{
|
||||
if (ManualX.Value != 0)
|
||||
{
|
||||
ManualX.Value = 0;
|
||||
}
|
||||
|
||||
if (ManualY.Value != 0)
|
||||
{
|
||||
ManualY.Value = 0;
|
||||
}
|
||||
SetPolar(0, 0);
|
||||
SetXY(0, 0);
|
||||
}
|
||||
|
||||
manualR.ValueChanged -= PolarNumeric_Changed;
|
||||
manualTheta.ValueChanged -= PolarNumeric_Changed;
|
||||
|
||||
var polar = PolarRectConversion.RectToPolarDeg(AnalogStick.X - rangeAverageX, AnalogStick.Y - rangeAverageY);
|
||||
manualR.Value = (decimal) polar.Item1;
|
||||
manualTheta.Value = (decimal) polar.Item2;
|
||||
|
||||
manualR.ValueChanged += PolarNumeric_Changed;
|
||||
manualTheta.ValueChanged += PolarNumeric_Changed;
|
||||
|
||||
_programmaticallyUpdatingNumerics = false;
|
||||
_updatingFromAnalog = false;
|
||||
}
|
||||
|
||||
private void AnalogStick_MouseDown(object sender, MouseEventArgs e)
|
||||
{
|
||||
if (!ReadOnly)
|
||||
{
|
||||
_programmaticallyUpdatingNumerics = true;
|
||||
SetNumericsFromAnalog();
|
||||
_programmaticallyUpdatingNumerics = false;
|
||||
}
|
||||
if (!ReadOnly) SetNumericsFromAnalog();
|
||||
}
|
||||
|
||||
private void AnalogStick_MouseMove(object sender, MouseEventArgs e)
|
||||
{
|
||||
if (!ReadOnly)
|
||||
{
|
||||
_programmaticallyUpdatingNumerics = true;
|
||||
SetNumericsFromAnalog();
|
||||
_programmaticallyUpdatingNumerics = false;
|
||||
}
|
||||
}
|
||||
|
||||
private void SetAnalogMaxFromNumerics()
|
||||
{
|
||||
if (!_programmaticallyUpdatingNumerics)
|
||||
AnalogStick.SetUserRange(ReverseX ? -MaxXNumeric.Value : MaxXNumeric.Value, ReverseY ? -MaxYNumeric.Value : MaxYNumeric.Value);
|
||||
if (!ReadOnly) SetNumericsFromAnalog();
|
||||
}
|
||||
}
|
||||
}
|
||||
|
|
|
|||
|
|
@ -54,24 +54,22 @@ namespace BizHawk.Client.EmuHawk
|
|||
Refresh();
|
||||
}
|
||||
|
||||
public void SetRangeX(float[] range)
|
||||
public void SetRangeX(Range<int> range)
|
||||
{
|
||||
_actualRangeX.Start = (int) range[0];
|
||||
_actualRangeX.EndInclusive = (int) range[2];
|
||||
_actualRangeX = range;
|
||||
Rerange();
|
||||
}
|
||||
|
||||
public void SetRangeY(float[] range)
|
||||
public void SetRangeY(Range<int> range)
|
||||
{
|
||||
_actualRangeY.Start = (int) range[0];
|
||||
_actualRangeY.EndInclusive = (int) range[2];
|
||||
_actualRangeY = range;
|
||||
Rerange();
|
||||
}
|
||||
|
||||
private readonly MutableRange<int> _rangeX = new MutableRange<int>(-128, 127);
|
||||
private readonly MutableRange<int> _rangeY = new MutableRange<int>(-128, 127);
|
||||
private MutableRange<int> _actualRangeX = (-128).MutableRangeTo(127);
|
||||
private MutableRange<int> _actualRangeY = (-128).MutableRangeTo(127);
|
||||
private Range<int> _rangeX = DefaultRange;
|
||||
private Range<int> _rangeY = DefaultRange;
|
||||
private Range<int> _actualRangeX = DefaultRange;
|
||||
private Range<int> _actualRangeY = DefaultRange;
|
||||
|
||||
private bool _reverseX;
|
||||
private bool _reverseY;
|
||||
|
|
@ -83,11 +81,11 @@ namespace BizHawk.Client.EmuHawk
|
|||
|
||||
var midX = (_actualRangeX.Start + _actualRangeX.EndInclusive) / 2.0;
|
||||
var halfRangeX = (_reverseX ? -1 : 1) * (_actualRangeX.EndInclusive - _actualRangeX.Start) * _userRangePercentageX / 200.0;
|
||||
_rangeX.Overwrite((int) (midX - halfRangeX), (int) (midX + halfRangeX));
|
||||
_rangeX = ((int) (midX - halfRangeX)).RangeTo((int) (midX + halfRangeX));
|
||||
|
||||
var midY = (_actualRangeY.Start + _actualRangeY.EndInclusive) / 2.0;
|
||||
var halfRangeY = (_reverseY ? -1 : 1) * (_actualRangeY.EndInclusive - _actualRangeY.Start) * _userRangePercentageY / 200.0;
|
||||
_rangeY.Overwrite((int) (midY - halfRangeY), (int) (midY + halfRangeY));
|
||||
_rangeY = ((int) (midY - halfRangeY)).RangeTo((int) (midY + halfRangeY));
|
||||
|
||||
// re-constrain after changing ranges
|
||||
X = X;
|
||||
|
|
@ -287,5 +285,7 @@ namespace BizHawk.Client.EmuHawk
|
|||
HasValue = true;
|
||||
Refresh();
|
||||
}
|
||||
|
||||
internal static readonly Range<int> DefaultRange = (-128).RangeTo(127);
|
||||
}
|
||||
}
|
||||
|
|
|
|||
Loading…
Reference in New Issue