Can the software read more precise numbers (such as decimal points)?

3 views (last 30 days)
bozheng
bozheng on 22 Apr 2024
Answered: Deepu on 24 Apr 2024
i have picture but the matlab show data is the number such like 1,2,3 but i want more detail like 1.32 or 2.16 and so on
To put it simply, can it be one or two digits after minor surgery?
above is my coding and my picture which i want read and caculate
data = adjusted_image(:);
fprintf( 'value：\n');
disp(data);
sample image(jpg) i tried to use tiff but the error is more serious
Note: He should display numbers from 0-5, although there are many

Sign in to answer this question.

Accepted Answer

Vaibhav
Vaibhav on 24 Apr 2024
Ran in:
Hi bozheng
It appears you want to increase the precision of the output values when displaying the data. You can use im2double to convert the image data to double precision directly.
Here is how you can incorporate im2double into your code:
% Read the image
image = imread('peppers.png');
% Convert to grayscale
gray_image = rgb2gray(image);
% Convert the grayscale image to double precision
gray_image_double = im2double(gray_image);
% Adjust the image intensity. Note: im2double scales the image to [0,1], so adjust accordingly
adjusted_image = imadjust(gray_image_double, [0,1], [0,10/255]);
% Since adjusted_image is already in double format, you can directly use it
% The data is already scaled to 0-10 due to the imadjust function
data_scaled = adjusted_image(:);
% Display the data with more precision
fprintf('Value:\n');
Value:
disp(data_scaled);
0.0066 0.0068 0.0066 0.0066 0.0068 0.0069 0.0066 0.0068 0.0068 0.0065 0.0063 0.0065 0.0066 0.0065 0.0068 0.0068 0.0063 0.0062 0.0068 0.0068 0.0069 0.0068 0.0068 0.0071 0.0074 0.0069 0.0069 0.0071 0.0072 0.0071 0.0071 0.0066 0.0068 0.0069 0.0071 0.0072 0.0071 0.0071 0.0071 0.0069 0.0068 0.0068 0.0069 0.0068 0.0068 0.0068 0.0066 0.0068 0.0068 0.0069 0.0069 0.0069 0.0072 0.0071 0.0071 0.0072 0.0074 0.0074 0.0074 0.0075 0.0075 0.0072 0.0071 0.0071 0.0072 0.0074 0.0072 0.0075 0.0075 0.0075 0.0074 0.0072 0.0074 0.0074 0.0072 0.0071 0.0074 0.0077 0.0077 0.0078 0.0075 0.0074 0.0075 0.0074 0.0072 0.0071 0.0069 0.0072 0.0075 0.0074 0.0074 0.0074 0.0075 0.0074 0.0074 0.0074 0.0075 0.0074 0.0077 0.0077 0.0077 0.0074 0.0074 0.0075 0.0074 0.0075 0.0078 0.0085 0.0088 0.0088 0.0086 0.0078 0.0075 0.0080 0.0078 0.0078 0.0080 0.0077 0.0077 0.0080 0.0080 0.0078 0.0078 0.0080 0.0080 0.0078 0.0075 0.0078 0.0080 0.0082 0.0078 0.0082 0.0080 0.0078 0.0080 0.0080 0.0078 0.0077 0.0077 0.0075 0.0078 0.0078 0.0075 0.0074 0.0077 0.0080 0.0077 0.0075 0.0077 0.0071 0.0071 0.0072 0.0071 0.0066 0.0066 0.0069 0.0066 0.0068 0.0065 0.0066 0.0066 0.0065 0.0065 0.0066 0.0066 0.0068 0.0065 0.0065 0.0065 0.0066 0.0065 0.0068 0.0066 0.0069 0.0071 0.0069 0.0068 0.0066 0.0071 0.0069 0.0071 0.0066 0.0066 0.0068 0.0068 0.0071 0.0071 0.0069 0.0072 0.0071 0.0071 0.0069 0.0066 0.0069 0.0068 0.0069 0.0068 0.0068 0.0068 0.0069 0.0071 0.0071 0.0072 0.0074 0.0072 0.0075 0.0075 0.0069 0.0069 0.0069 0.0071 0.0072 0.0071 0.0072 0.0068 0.0066 0.0066 0.0065 0.0062 0.0060 0.0062 0.0062 0.0063 0.0065 0.0062 0.0062 0.0062 0.0063 0.0066 0.0066 0.0068 0.0063 0.0068 0.0072 0.0072 0.0072 0.0075 0.0074 0.0074 0.0075 0.0080 0.0080 0.0080 0.0078 0.0074 0.0057 0.0043 0.0046 0.0048 0.0055 0.0062 0.0062 0.0062 0.0060 0.0057 0.0054 0.0051 0.0052 0.0054 0.0049 0.0048 0.0046 0.0048 0.0051 0.0051 0.0046 0.0045 0.0045 0.0045 0.0043 0.0042 0.0042 0.0045 0.0043 0.0043 0.0046 0.0048 0.0046 0.0046 0.0049 0.0052 0.0058 0.0066 0.0075 0.0075 0.0075 0.0074 0.0074 0.0072 0.0072 0.0071 0.0072 0.0078 0.0082 0.0083 0.0083 0.0088 0.0088 0.0088 0.0086 0.0086 0.0089 0.0088 0.0088 0.0088 0.0086 0.0086 0.0089 0.0092 0.0091 0.0086 0.0089 0.0094 0.0095 0.0094 0.0092 0.0094 0.0095 0.0094 0.0091 0.0086 0.0083 0.0089 0.0091 0.0091 0.0091 0.0094 0.0095 0.0094 0.0094 0.0094 0.0097 0.0100 0.0097 0.0098 0.0095 0.0103 0.0103 0.0098 0.0098 0.0098 0.0100 0.0101 0.0100 0.0100 0.0098 0.0098 0.0094 0.0085 0.0085 0.0092 0.0089 0.0091 0.0095 0.0098 0.0106 0.0117 0.0128 0.0131 0.0129 0.0134 0.0141 0.0143 0.0143 0.0146 0.0149 0.0152 0.0157 0.0158 0.0160 0.0160 0.0155 0.0155 0.0157 0.0157 0.0157 0.0161 0.0160 0.0157 0.0155 0.0152 0.0143 0.0137 0.0137 0.0068 0.0068 0.0068 0.0068 0.0069 0.0066 0.0066 0.0068 0.0068 0.0068 0.0065 0.0063 0.0066 0.0068 0.0068 0.0068 0.0065 0.0066 0.0066 0.0069 0.0069 0.0069 0.0068 0.0071 0.0071 0.0069 0.0068 0.0071 0.0071 0.0069 0.0069 0.0068 0.0071 0.0068 0.0072 0.0072 0.0071 0.0069 0.0072 0.0069 0.0068 0.0069 0.0069 0.0066 0.0065 0.0066 0.0065 0.0068 0.0068 0.0069 0.0069 0.0071 0.0071 0.0071 0.0071 0.0071 0.0072 0.0075 0.0075 0.0072 0.0074 0.0075 0.0074 0.0071 0.0074 0.0074 0.0074 0.0072 0.0077 0.0072 0.0075 0.0072 0.0074 0.0075 0.0071 0.0069 0.0074 0.0074 0.0075 0.0075 0.0074 0.0072 0.0072 0.0071 0.0071 0.0068 0.0072 0.0075 0.0075 0.0077 0.0077 0.0074 0.0074 0.0074 0.0072 0.0075 0.0077 0.0072 0.0075 0.0077 0.0075 0.0074 0.0074 0.0071 0.0069 0.0072 0.0077 0.0085 0.0086 0.0088 0.0088 0.0082 0.0080 0.0078 0.0078 0.0082 0.0082 0.0080 0.0080 0.0080 0.0080 0.0080 0.0080 0.0080 0.0080 0.0077 0.0075 0.0078 0.0078 0.0078 0.0077 0.0080 0.0078 0.0078 0.0077 0.0077 0.0078 0.0078 0.0075 0.0078 0.0080 0.0078 0.0077 0.0077 0.0078 0.0082 0.0078 0.0077 0.0078 0.0075 0.0077 0.0078 0.0077 0.0074 0.0072 0.0072 0.0071 0.0069 0.0071 0.0071 0.0071 0.0071 0.0069 0.0069 0.0069 0.0069 0.0068 0.0065 0.0066 0.0063 0.0063 0.0066 0.0066 0.0068 0.0069 0.0065 0.0063 0.0069 0.0069 0.0068 0.0068 0.0066 0.0068 0.0071 0.0071 0.0072 0.0074 0.0071 0.0069 0.0071 0.0071 0.0072 0.0069 0.0069 0.0072 0.0074 0.0069 0.0072 0.0074 0.0074 0.0072 0.0071 0.0077 0.0075 0.0074 0.0074 0.0072 0.0072 0.0072 0.0069 0.0068 0.0068 0.0066 0.0068 0.0068 0.0068 0.0071 0.0068 0.0065 0.0063 0.0063 0.0065 0.0065 0.0062 0.0063 0.0062 0.0062 0.0066 0.0066 0.0068 0.0068 0.0066 0.0068 0.0072 0.0074 0.0072 0.0078 0.0077 0.0077 0.0075 0.0077 0.0082 0.0082 0.0078 0.0074 0.0054 0.0046 0.0051 0.0051 0.0055 0.0060 0.0062 0.0060 0.0058 0.0055 0.0054 0.0051 0.0051 0.0051 0.0046 0.0048 0.0049 0.0049 0.0052 0.0049 0.0046 0.0046 0.0046 0.0045 0.0045 0.0043 0.0043 0.0043 0.0043 0.0045 0.0048 0.0048 0.0046 0.0049 0.0052 0.0052 0.0052 0.0057 0.0068 0.0074 0.0072 0.0072 0.0069 0.0071 0.0072 0.0069 0.0071 0.0078 0.0085 0.0088 0.0091 0.0091 0.0092 0.0091 0.0091 0.0092 0.0094 0.0091 0.0089 0.0088 0.0088 0.0086 0.0089 0.0091 0.0089 0.0088 0.0091 0.0097 0.0095 0.0094 0.0094 0.0094 0.0097 0.0092 0.0088 0.0086 0.0086 0.0091 0.0091 0.0091 0.0094 0.0098 0.0095 0.0094 0.0095 0.0098 0.0098 0.0097 0.0097 0.0095 0.0097 0.0101 0.0100 0.0097 0.0095 0.0095 0.0098 0.0098 0.0095 0.0095 0.0097 0.0097 0.0092 0.0085 0.0083 0.0082 0.0089 0.0089 0.0095 0.0098 0.0103 0.0114 0.0121 0.0123 0.0129 0.0134 0.0138 0.0138 0.0140 0.0145 0.0145 0.0151 0.0152 0.0154 0.0154 0.0154 0.0154 0.0154 0.0157 0.0157 0.0160 0.0157 0.0157 0.0155 0.0152 0.0152 0.0140 0.0137 0.0140 0.0071 0.0068 0.0068 0.0069 0.0071 0.0068 0.0068 0.0069 0.0066 0.0068 0.0068 0.0065 0.0063 0.0069 0.0069 0.0066 0.0065 0.0068 0.0068 0.0066 0.0068 0.0071 0.0068 0.0069 0.0068 0.0068 0.0069 0.0071 0.0069 0.0068 0.0068 0.0069 0.0069 0.0069 0.0072 0.0071 0.0069 0.0071 0.0072 0.0069 0.0065 0.0069 0.0069 0.0069 0.0068 0.0068 0.0066 0.0066 0.0068 0.0069 0.0071 0.0072 0.0069 0.0071 0.0072 0.0072 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0074 0.0072 0.0072 0.0074 0.0072 0.0074 0.0075 0.0075 0.0075 0.0074 0.0071 0.0074 0.0072 0.0072 0.0075 0.0075 0.0074 0.0071 0.0071 0.0071 0.0069 0.0069 0.0072 0.0072 0.0075 0.0077 0.0075 0.0074 0.0077 0.0075 0.0077 0.0075 0.0074 0.0075 0.0075 0.0071 0.0075 0.0075 0.0074 0.0074 0.0069 0.0066 0.0066 0.0065 0.0071 0.0080 0.0085 0.0085 0.0082 0.0082 0.0082 0.0080 0.0082 0.0083 0.0085 0.0083 0.0086 0.0083 0.0082 0.0085 0.0085 0.0085 0.0085 0.0083 0.0082 0.0082 0.0078 0.0080 0.0078 0.0075 0.0078 0.0077 0.0077 0.0075 0.0078 0.0077 0.0075 0.0077 0.0080 0.0080 0.0078 0.0077 0.0080 0.0078 0.0080 0.0077 0.0078 0.0077 0.0080 0.0078 0.0075 0.0078 0.0077 0.0077 0.0077 0.0072 0.0074 0.0072 0.0071 0.0075 0.0074 0.0072 0.0069 0.0069 0.0071 0.0068 0.0069 0.0068 0.0068 0.0066 0.0068 0.0065 0.0066 0.0065 0.0062 0.0066 0.0065 0.0065 0.0066 0.0063 0.0063 0.0068 0.0071 0.0072 0.0072 0.0071 0.0071 0.0071 0.0072 0.0075 0.0075 0.0074 0.0075 0.0072 0.0072 0.0075 0.0074 0.0074 0.0074 0.0077 0.0078 0.0074 0.0075 0.0074 0.0072 0.0071 0.0072 0.0074 0.0071 0.0068 0.0065 0.0066 0.0071 0.0074 0.0071 0.0069 0.0065 0.0063 0.0063 0.0063 0.0065 0.0063 0.0063 0.0065 0.0060 0.0065 0.0063 0.0066 0.0069 0.0068 0.0068 0.0072 0.0072 0.0072 0.0072 0.0074 0.0080 0.0078 0.0082 0.0085 0.0083 0.0082 0.0072 0.0049 0.0045 0.0054 0.0060 0.0058 0.0062 0.0062 0.0062 0.0057 0.0054 0.0049 0.0051 0.0048 0.0048 0.0049 0.0048 0.0049 0.0046 0.0048 0.0046 0.0042 0.0043 0.0043 0.0042 0.0043 0.0040 0.0042 0.0042 0.0042 0.0045 0.0045 0.0045 0.0046 0.0049 0.0052 0.0054 0.0052 0.0052 0.0060 0.0069 0.0069 0.0071 0.0074 0.0072 0.0075 0.0077 0.0083 0.0092 0.0098 0.0100 0.0100 0.0101 0.0098 0.0097 0.0098 0.0097 0.0097 0.0094 0.0092 0.0091 0.0089 0.0088 0.0088 0.0088 0.0086 0.0085 0.0088 0.0091 0.0095 0.0094 0.0092 0.0092 0.0097 0.0092 0.0086 0.0088 0.0088 0.0091 0.0094 0.0092 0.0094 0.0098 0.0097 0.0094 0.0097 0.0097 0.0095 0.0097 0.0097 0.0095 0.0100 0.0098 0.0100 0.0098 0.0092 0.0092 0.0097 0.0095 0.0094 0.0095 0.0095 0.0094 0.0089 0.0082 0.0078 0.0080 0.0086 0.0088 0.0089 0.0092 0.0105 0.0114 0.0120 0.0120 0.0125 0.0132 0.0132 0.0138 0.0141 0.0143 0.0143 0.0148 0.0148 0.0152 0.0157 0.0154 0.0151 0.0154 0.0157 0.0160 0.0157 0.0154 0.0154 0.0154 0.0157 0.0152 0.0146 0.0141 0.0140 0.0068 0.0068 0.0068 0.0068 0.0068 0.0069 0.0069 0.0068 0.0069 0.0069 0.0071 0.0069 0.0066 0.0068 0.0069 0.0066 0.0066 0.0071 0.0069 0.0068 0.0068 0.0068 0.0068 0.0069 0.0071 0.0068 0.0071 0.0071 0.0072 0.0068 0.0068 0.0066 0.0069 0.0069 0.0069 0.0069 0.0069 0.0068 0.0068 0.0071 0.0066 0.0069 0.0068 0.0069 0.0068 0.0066 0.0068 0.0066 0.0066 0.0071 0.0072 0.0071 0.0068 0.0071 0.0074 0.0071 0.0069 0.0071 0.0072 0.0075 0.0075 0.0075 0.0074 0.0074 0.0072 0.0072 0.0071 0.0075 0.0075 0.0072 0.0072 0.0072 0.0074 0.0074 0.0074 0.0071 0.0072 0.0074 0.0072 0.0071 0.0071 0.0074 0.0071 0.0072 0.0071 0.0074 0.0075 0.0074 0.0077 0.0074 0.0074 0.0074 0.0075 0.0074 0.0074 0.0074 0.0075 0.0074 0.0077 0.0075 0.0072 0.0072 0.0066 0.0063 0.0063 0.0063 0.0066 0.0074 0.0080 0.0085 0.0080 0.0078 0.0078 0.0078 0.0078 0.0077 0.0078 0.0077 0.0080 0.0083 0.0082 0.0083 0.0082 0.0083 0.0085 0.0085 0.0083 0.0083 0.0082 0.0080 0.0082 0.0080 0.0082 0.0082 0.0080 0.0075 0.0078 0.0078 0.0074 0.0077 0.0078 0.0080 0.0082 0.0078 0.0078 0.0080 0.0078 0.0077 0.0080 0.0078 0.0080 0.0078 0.0078 0.0080 0.0080 0.0078 0.0080 0.0077 0.0077 0.0074 0.0074 0.0077 0.0075 0.0077 0.0075 0.0071 0.0071 0.0069 0.0071 0.0071 0.0069 0.0069 0.0069 0.0069 0.0069 0.0069 0.0066 0.0066 0.0066 0.0062 0.0065 0.0065 0.0063 0.0063 0.0063 0.0065 0.0065 0.0062 0.0065 0.0066 0.0066 0.0071 0.0072 0.0072 0.0072 0.0072 0.0072 0.0075 0.0075 0.0072 0.0074 0.0072 0.0075 0.0074 0.0074 0.0075 0.0072 0.0068 0.0075 0.0078 0.0069 0.0068 0.0068 0.0071 0.0069 0.0068 0.0069 0.0069 0.0068 0.0065 0.0065 0.0065 0.0063 0.0065 0.0066 0.0063 0.0060 0.0063 0.0063 0.0066 0.0066 0.0068 0.0068 0.0068 0.0069 0.0071 0.0074 0.0074 0.0078 0.0082 0.0083 0.0085 0.0086 0.0082 0.0069 0.0049 0.0046 0.0054 0.0060 0.0063 0.0063 0.0062 0.0058 0.0054 0.0051 0.0045 0.0043 0.0045 0.0048 0.0048 0.0048 0.0045 0.0045 0.0045 0.0043 0.0042 0.0043 0.0042 0.0040 0.0038 0.0040 0.0038 0.0040 0.0040 0.0040 0.0040 0.0040 0.0045 0.0048 0.0049 0.0052 0.0052 0.0055 0.0058 0.0069 0.0075 0.0077 0.0085 0.0092 0.0100 0.0106 0.0106 0.0108 0.0108 0.0108 0.0108 0.0108 0.0106 0.0105 0.0103 0.0101 0.0101 0.0100 0.0097 0.0097 0.0092 0.0089 0.0089 0.0088 0.0085 0.0083 0.0083 0.0083 0.0085 0.0088 0.0089 0.0091 0.0094 0.0088 0.0088 0.0089 0.0092 0.0094 0.0094 0.0095 0.0095 0.0097 0.0097 0.0095 0.0095 0.0095 0.0100 0.0097 0.0095 0.0097 0.0097 0.0094 0.0098 0.0098 0.0097 0.0098 0.0095 0.0091 0.0092 0.0092 0.0089 0.0091 0.0086 0.0078 0.0077 0.0077 0.0078 0.0083 0.0085 0.0091 0.0101 0.0112 0.0115 0.0125 0.0134 0.0128 0.0132 0.0137 0.0141 0.0140 0.0141 0.0152 0.0149 0.0154 0.0157 0.0160 0.0154 0.0151 0.0155 0.0155 0.0157 0.0155 0.0157 0.0155 0.0157 0.0157 0.0143 0.0140 0.0138 0.0065 0.0065 0.0069 0.0068 0.0069 0.0068 0.0068 0.0068 0.0071 0.0069 0.0071 0.0071 0.0068 0.0063 0.0065 0.0068 0.0068 0.0066 0.0068 0.0068 0.0069 0.0071 0.0071 0.0069 0.0071 0.0071 0.0068 0.0066 0.0068 0.0066 0.0066 0.0069 0.0069 0.0072 0.0069 0.0071 0.0071 0.0069 0.0068 0.0071 0.0071 0.0071 0.0068 0.0068 0.0069 0.0068 0.0065 0.0068 0.0069 0.0071 0.0071 0.0069 0.0068 0.0069 0.0072 0.0072 0.0069 0.0072 0.0075 0.0077 0.0075 0.0075 0.0072 0.0069 0.0072 0.0072 0.0071 0.0074 0.0077 0.0072 0.0071 0.0075 0.0077 0.0074 0.0074 0.0072 0.0069 0.0071 0.0071 0.0072 0.0072 0.0075 0.0074 0.0072 0.0072 0.0074 0.0074 0.0072 0.0074 0.0072 0.0074 0.0075 0.0075 0.0075 0.0074 0.0075 0.0075 0.0074 0.0074 0.0074 0.0071 0.0066 0.0065 0.0065 0.0062 0.0063 0.0063 0.0071 0.0078 0.0082 0.0080 0.0080 0.0080 0.0078 0.0077 0.0075 0.0078 0.0077 0.0077 0.0078 0.0078 0.0077 0.0078 0.0077 0.0077 0.0078 0.0078 0.0078 0.0078 0.0080 0.0078 0.0082 0.0080 0.0082 0.0082 0.0080 0.0080 0.0082 0.0077 0.0080 0.0082 0.0080 0.0080 0.0078 0.0077 0.0077 0.0078 0.0075 0.0078 0.0078 0.0077 0.0077 0.0080 0.0080 0.0075 0.0075 0.0075 0.0075 0.0080 0.0077 0.0075 0.0077 0.0077 0.0078 0.0077 0.0074 0.0072 0.0074 0.0075 0.0071 0.0069 0.0072 0.0069 0.0072 0.0072 0.0072 0.0071 0.0069 0.0071 0.0071 0.0069 0.0068 0.0068 0.0066 0.0066 0.0068 0.0068 0.0063 0.0066 0.0063 0.0063 0.0065 0.0065 0.0065 0.0068 0.0069 0.0069 0.0071 0.0075 0.0072 0.0069 0.0068 0.0069 0.0071 0.0072 0.0072 0.0071 0.0071 0.0078 0.0075 0.0069 0.0066 0.0069 0.0069 0.0069 0.0065 0.0068 0.0069 0.0069 0.0066 0.0065 0.0063 0.0065 0.0066 0.0069 0.0066 0.0062 0.0063 0.0063 0.0063 0.0068 0.0069 0.0068 0.0069 0.0072 0.0074 0.0074 0.0075 0.0078 0.0086 0.0085 0.0085 0.0086 0.0080 0.0068 0.0052 0.0048 0.0052 0.0060 0.0063 0.0062 0.0060 0.0055 0.0051 0.0048 0.0043 0.0042 0.0043 0.0046 0.0045 0.0046 0.0045 0.0045 0.0045 0.0045 0.0043 0.0042 0.0042 0.0040 0.0038 0.0040 0.0042 0.0042 0.0038 0.0040 0.0042 0.0042 0.0045 0.0048 0.0051 0.0054 0.0054 0.0058 0.0069 0.0082 0.0097 0.0106 0.0112 0.0114 0.0112 0.0114 0.0112 0.0112 0.0111 0.0111 0.0111 0.0106 0.0106 0.0108 0.0105 0.0103 0.0100 0.0100 0.0098 0.0097 0.0094 0.0092 0.0089 0.0088 0.0085 0.0083 0.0083 0.0082 0.0082 0.0082 0.0082 0.0083 0.0086 0.0088 0.0088 0.0092 0.0098 0.0098 0.0094 0.0095 0.0098 0.0097 0.0095 0.0097 0.0095 0.0097 0.0095 0.0095 0.0097 0.0097 0.0094 0.0094 0.0095 0.0092 0.0091 0.0094 0.0095 0.0088 0.0088 0.0091 0.0091 0.0089 0.0082 0.0074 0.0074 0.0074 0.0078 0.0083 0.0088 0.0091 0.0101 0.0109 0.0112 0.0118 0.0131 0.0131 0.0131 0.0134 0.0141 0.0141 0.0145 0.0145 0.0148 0.0155 0.0155 0.0158 0.0157 0.0154 0.0158 0.0157 0.0160 0.0157 0.0154 0.0158 0.0158 0.0157 0.0148 0.0140 0.0137 0.0068 0.0066 0.0068 0.0068 0.0068 0.0065 0.0066 0.0071 0.0071 0.0068 0.0072 0.0072 0.0068 0.0068 0.0066 0.0071 0.0068 0.0063 0.0068 0.0069 0.0071 0.0074 0.0071 0.0071 0.0072 0.0072 0.0071 0.0066 0.0066 0.0068 0.0068 0.0071 0.0074 0.0072 0.0071 0.0069 0.0069 0.0069 0.0069 0.0069 0.0071 0.0072 0.0071 0.0066 0.0069 0.0071 0.0068 0.0069 0.0071 0.0069 0.0071 0.0069 0.0069 0.0072 0.0072 0.0069 0.0071 0.0072 0.0072 0.0072 0.0072 0.0074 0.0074 0.0071 0.0069 0.0072 0.0072 0.0072 0.0075 0.0074 0.0075 0.0075 0.0077 0.0074 0.0074 0.0072 0.0069 0.0072 0.0071 0.0072 0.0077 0.0075 0.0075 0.0072 0.0071 0.0075 0.0075 0.0074 0.0072 0.0071 0.0075 0.0074 0.0074 0.0074 0.0071 0.0072 0.0072 0.0071 0.0071 0.0071 0.0066 0.0065 0.0066 0.0063 0.0062 0.0063 0.0065 0.0072 0.0077 0.0080 0.0082 0.0082 0.0078 0.0077 0.0080 0.0077 0.0080 0.0078 0.0075 0.0075 0.0075 0.0075 0.0074 0.0071 0.0075 0.0074 0.0074 0.0074 0.0075 0.0078 0.0075 0.0075 0.0077 0.0077 0.0074 0.0078 0.0078 0.0080 0.0082 0.0082 0.0082 0.0080 0.0080 0.0082 0.0078 0.0078 0.0080 0.0077 0.0077 0.0077 0.0078 0.0078 0.0077 0.0080 0.0078 0.0075 0.0074 0.0075 0.0078 0.0078 0.0077 0.0077 0.0075 0.0077 0.0077 0.0075 0.0074 0.0078 0.0075 0.0072 0.0075 0.0075 0.0074 0.0075 0.0072 0.0071 0.0074 0.0071 0.0069 0.0072 0.0071 0.0069 0.0069 0.0069 0.0069 0.0072 0.0072 0.0071 0.0074 0.0069 0.0066 0.0071 0.0071 0.0068 0.0065 0.0066 0.0066 0.0065 0.0069 0.0068 0.0065 0.0066 0.0069 0.0072 0.0071 0.0069 0.0072 0.0072 0.0078 0.0075 0.0069 0.0063 0.0068 0.0068 0.0069 0.0068 0.0068 0.0071 0.0066 0.0068 0.0065 0.0062 0.0063 0.0066 0.0068 0.0068 0.0068 0.0065 0.0063 0.0065 0.0068 0.0069 0.0069 0.0069 0.0072 0.0075 0.0074 0.0077 0.0080 0.0083 0.0088 0.0088 0.0085 0.0078 0.0068 0.0055 0.0052 0.0052 0.0058 0.0057 0.0055 0.0055 0.0054 0.0051 0.0046 0.0046 0.0046 0.0045 0.0046 0.0052 0.0048 0.0046 0.0046 0.0048 0.0048 0.0048 0.0046 0.0045 0.0045 0.0043 0.0042 0.0043 0.0043 0.0043 0.0040 0.0043 0.0042 0.0046 0.0049 0.0051 0.0054 0.0062 0.0082 0.0106 0.0121 0.0126 0.0126 0.0123 0.0118 0.0117 0.0117 0.0115 0.0112 0.0111 0.0111 0.0111 0.0108 0.0106 0.0105 0.0103 0.0101 0.0098 0.0098 0.0097 0.0095 0.0097 0.0092 0.0091 0.0089 0.0086 0.0086 0.0085 0.0083 0.0082 0.0082 0.0082 0.0080 0.0080 0.0082 0.0082 0.0082 0.0091 0.0098 0.0095 0.0095 0.0100 0.0101 0.0097 0.0098 0.0097 0.0098 0.0097 0.0094 0.0098 0.0094 0.0095 0.0092 0.0089 0.0089 0.0091 0.0092 0.0092 0.0089 0.0088 0.0089 0.0092 0.0092 0.0083 0.0074 0.0071 0.0069 0.0072 0.0075 0.0082 0.0091 0.0097 0.0108 0.0112 0.0120 0.0123 0.0126 0.0129 0.0137 0.0138 0.0140 0.0141 0.0145 0.0151 0.0149 0.0149 0.0155 0.0152 0.0157 0.0158 0.0158 0.0160 0.0158 0.0160 0.0160 0.0157 0.0155 0.0151 0.0137 0.0137 0.0068 0.0068 0.0066 0.0069 0.0071 0.0069 0.0068 0.0069 0.0069 0.0068 0.0068 0.0068 0.0069 0.0069 0.0068 0.0066 0.0065 0.0063 0.0066 0.0068 0.0068 0.0072 0.0071 0.0071 0.0072 0.0071 0.0071 0.0069 0.0068 0.0069 0.0069 0.0071 0.0071 0.0071 0.0072 0.0072 0.0068 0.0068 0.0069 0.0069 0.0071 0.0072 0.0072 0.0069 0.0069 0.0069 0.0069 0.0069 0.0069 0.0071 0.0074 0.0072 0.0071 0.0072 0.0072 0.0072 0.0071 0.0072 0.0072 0.0072 0.0074 0.0074 0.0074 0.0072 0.0071 0.0074 0.0074 0.0074 0.0071 0.0072 0.0074 0.0074 0.0074 0.0072 0.0072 0.0071 0.0071 0.0075 0.0072 0.0071 0.0075 0.0074 0.0074 0.0074 0.0074 0.0075 0.0077 0.0074 0.0074 0.0072 0.0075 0.0074 0.0072 0.0072 0.0069 0.0071 0.0072 0.0069 0.0069 0.0065 0.0065 0.0066 0.0065 0.0063 0.0065 0.0063 0.0065 0.0072 0.0075 0.0078 0.0080 0.0083 0.0078 0.0080 0.0080 0.0077 0.0078 0.0078 0.0078 0.0078 0.0077 0.0077 0.0077 0.0075 0.0075 0.0072 0.0072 0.0071 0.0074 0.0074 0.0074 0.0069 0.0072 0.0072 0.0069 0.0071 0.0071 0.0077 0.0074 0.0075 0.0075 0.0074 0.0077 0.0078 0.0078 0.0078 0.0078 0.0078 0.0080 0.0082 0.0080 0.0082 0.0080 0.0083 0.0085 0.0080 0.0078 0.0077 0.0077 0.0078 0.0075 0.0075 0.0075 0.0072 0.0074 0.0075 0.0074 0.0077 0.0074 0.0075 0.0075 0.0075 0.0075 0.0077 0.0074 0.0072 0.0074 0.0072 0.0071 0.0071 0.0071 0.0069 0.0071 0.0069 0.0069 0.0071 0.0072 0.0072 0.0074 0.0075 0.0072 0.0074 0.0078 0.0075 0.0071 0.0069 0.0068 0.0069 0.0068 0.0068 0.0068 0.0071 0.0077 0.0072 0.0074 0.0074 0.0075 0.0075 0.0082 0.0078 0.0069 0.0062 0.0065 0.0068 0.0069 0.0068 0.0072 0.0071 0.0066 0.0069 0.0065 0.0063 0.0066 0.0068 0.0066 0.0066 0.0068 0.0068 0.0069 0.0065 0.0066 0.0068 0.0069 0.0071 0.0074 0.0078 0.0074 0.0077 0.0082 0.0085 0.0085 0.0085 0.0083 0.0077 0.0071 0.0065 0.0055 0.0055 0.0058 0.0058 0.0055 0.0051 0.0052 0.0054 0.0049 0.0051 0.0055 0.0054 0.0052 0.0051 0.0052 0.0051 0.0051 0.0051 0.0051 0.0054 0.0052 0.0048 0.0043 0.0045 0.0043 0.0043 0.0043 0.0043 0.0045 0.0045 0.0045 0.0048 0.0048 0.0058 0.0083 0.0111 0.0126 0.0131 0.0132 0.0129 0.0129 0.0123 0.0121 0.0118 0.0117 0.0114 0.0112 0.0111 0.0112 0.0109 0.0108 0.0109 0.0106 0.0105 0.0103 0.0100 0.0098 0.0097 0.0097 0.0095 0.0094 0.0091 0.0088 0.0088 0.0085 0.0086 0.0086 0.0085 0.0085 0.0083 0.0082 0.0080 0.0082 0.0080 0.0077 0.0078 0.0083 0.0091 0.0094 0.0097 0.0098 0.0095 0.0092 0.0097 0.0100 0.0095 0.0095 0.0097 0.0094 0.0095 0.0095 0.0088 0.0089 0.0091 0.0091 0.0086 0.0086 0.0088 0.0089 0.0091 0.0092 0.0083 0.0072 0.0068 0.0065 0.0065 0.0072 0.0077 0.0085 0.0094 0.0105 0.0112 0.0115 0.0115 0.0121 0.0129 0.0132 0.0131 0.0135 0.0140 0.0145 0.0151 0.0146 0.0154 0.0157 0.0151 0.0158 0.0157 0.0157 0.0157 0.0158 0.0157 0.0160 0.0158 0.0154 0.0145 0.0138 0.0140 0.0066 0.0069 0.0069 0.0071 0.0069 0.0068 0.0068 0.0066 0.0066 0.0068 0.0066 0.0066 0.0068 0.0071 0.0072 0.0068 0.0063 0.0066 0.0066 0.0068 0.0071 0.0072 0.0072 0.0072 0.0071 0.0072 0.0074 0.0072 0.0069 0.0066 0.0069 0.0072 0.0069 0.0069 0.0074 0.0071 0.0069 0.0071 0.0069 0.0069 0.0071 0.0072 0.0072 0.0071 0.0068 0.0068 0.0068 0.0069 0.0068 0.0069 0.0071 0.0071 0.0069 0.0071 0.0072 0.0072 0.0072 0.0075 0.0077 0.0075 0.0074 0.0072 0.0071 0.0071 0.0074 0.0075 0.0074 0.0075 0.0075 0.0074 0.0072 0.0074 0.0074 0.0075 0.0071 0.0074 0.0072 0.0074 0.0074 0.0071 0.0074 0.0077 0.0075 0.0074 0.0075 0.0075 0.0074 0.0071 0.0072 0.0074 0.0075 0.0074 0.0071 0.0068 0.0068 0.0069 0.0069 0.0068 0.0066 0.0065 0.0063 0.0066 0.0063 0.0063 0.0065 0.0065 0.0068 0.0071 0.0075 0.0075 0.0078 0.0082 0.0082 0.0080 0.0080 0.0078 0.0078 0.0080 0.0080 0.0078 0.0075 0.0078 0.0078 0.0077 0.0074 0.0075 0.0074 0.0075 0.0077 0.0074 0.0074 0.0072 0.0071 0.0072 0.0074 0.0069 0.0069 0.0071 0.0068 0.0069 0.0069 0.0071 0.0071 0.0072 0.0072 0.0071 0.0072 0.0072 0.0074 0.0075 0.0077 0.0075 0.0075 0.0078 0.0078 0.0078 0.0082 0.0078 0.0078 0.0077 0.0074 0.0077 0.0080 0.0078 0.0075 0.0075 0.0075 0.0075 0.0074 0.0074 0.0075 0.0077 0.0072 0.0075 0.0075 0.0075 0.0075 0.0074 0.0071 0.0072 0.0071 0.0074 0.0069 0.0071 0.0072 0.0071 0.0069 0.0071 0.0072 0.0071 0.0074 0.0078 0.0080 0.0078 0.0078 0.0074 0.0074 0.0072 0.0072 0.0074 0.0074 0.0075 0.0077 0.0075 0.0077 0.0078 0.0078 0.0082 0.0085 0.0078 0.0069 0.0065 0.0066 0.0069 0.0069 0.0069 0.0071 0.0068 0.0068 0.0071 0.0068 0.0065 0.0063 0.0068 0.0066 0.0068 0.0068 0.0069 0.0069 0.0068 0.0066 0.0069 0.0069 0.0072 0.0074 0.0077 0.0077 0.0077 0.0080 0.0082 0.0083 0.0083 0.0082 0.0078 0.0072 0.0069 0.0063 0.0060 0.0063 0.0065 0.0062 0.0052 0.0046 0.0052 0.0054 0.0057 0.0060 0.0057 0.0054 0.0052 0.0052 0.0052 0.0052 0.0054 0.0051 0.0052 0.0051 0.0048 0.0043 0.0043 0.0042 0.0040 0.0040 0.0042 0.0045 0.0045 0.0046 0.0052 0.0078 0.0112 0.0131 0.0137 0.0138 0.0138 0.0137 0.0131 0.0128 0.0123 0.0121 0.0120 0.0118 0.0118 0.0115 0.0117 0.0115 0.0114 0.0114 0.0114 0.0111 0.0109 0.0108 0.0108 0.0106 0.0105 0.0101 0.0098 0.0097 0.0094 0.0092 0.0088 0.0086 0.0085 0.0086 0.0086 0.0085 0.0083 0.0083 0.0083 0.0082 0.0082 0.0078 0.0077 0.0077 0.0078 0.0083 0.0089 0.0095 0.0095 0.0095 0.0097 0.0095 0.0095 0.0100 0.0097 0.0092 0.0092 0.0092 0.0088 0.0086 0.0089 0.0085 0.0083 0.0085 0.0088 0.0086 0.0089 0.0089 0.0080 0.0069 0.0065 0.0063 0.0063 0.0066 0.0071 0.0080 0.0091 0.0105 0.0114 0.0114 0.0112 0.0118 0.0121 0.0128 0.0132 0.0134 0.0140 0.0146 0.0151 0.0146 0.0154 0.0152 0.0154 0.0157 0.0155 0.0154 0.0157 0.0155 0.0157 0.0157 0.0155 0.0158 0.0151 0.0151 0.0143 0.0066 0.0069 0.0069 0.0071 0.0071 0.0068 0.0071 0.0069 0.0069 0.0066 0.0068 0.0068 0.0066 0.0069 0.0069 0.0066 0.0066 0.0066 0.0065 0.0066 0.0071 0.0071 0.0072 0.0074 0.0071 0.0072 0.0072 0.0069 0.0071 0.0071 0.0069 0.0072 0.0072 0.0069 0.0074 0.0072 0.0069 0.0071 0.0069 0.0071 0.0069 0.0069 0.0071 0.0071 0.0069 0.0069 0.0069 0.0069 0.0068 0.0069 0.0068 0.0069 0.0071 0.0072 0.0072 0.0072 0.0072 0.0071 0.0074 0.0072 0.0071 0.0071 0.0069 0.0071 0.0069 0.0072 0.0075 0.0077 0.0075 0.0074 0.0074 0.0072 0.0074 0.0077 0.0072 0.0072 0.0069 0.0072 0.0075 0.0072 0.0075 0.0077 0.0077 0.0075 0.0075 0.0074 0.0075 0.0074 0.0071 0.0071 0.0069 0.0069 0.0066 0.0066 0.0066 0.0066 0.0066 0.0066 0.0065 0.0063 0.0063 0.0065 0.0065 0.0066 0.0068 0.0069 0.0068 0.0072 0.0075 0.0075 0.0075 0.0078 0.0080 0.0080 0.0077 0.0077 0.0078 0.0082 0.0080 0.0080 0.0078 0.0082 0.0080 0.0078 0.0078 0.0080 0.0077 0.0078 0.0075 0.0074 0.0072 0.0072 0.0072 0.0071 0.0074 0.0075 0.0072 0.0069 0.0069 0.0071 0.0074 0.0074 0.0068 0.0068 0.0069 0.0069 0.0069 0.0068 0.0068 0.0068 0.0069 0.0069 0.0069 0.0068 0.0069 0.0071 0.0074 0.0078 0.0077 0.0075 0.0075 0.0075 0.0078 0.0080 0.0078 0.0077 0.0077 0.0078 0.0078 0.0078 0.0078 0.0077 0.0075 0.0074 0.0072 0.0075 0.0075 0.0071 0.0072 0.0075 0.0072 0.0072 0.0069 0.0071 0.0069 0.0072 0.0069 0.0069 0.0071 0.0074 0.0077 0.0080 0.0082 0.0080 0.0078 0.0077 0.0075 0.0072 0.0074 0.0075 0.0077 0.0080 0.0078 0.0080 0.0078 0.0082 0.0083 0.0083 0.0085 0.0077 0.0071 0.0071 0.0069 0.0071 0.0072 0.0069 0.0066 0.0068 0.0069 0.0069 0.0069 0.0065 0.0065 0.0068 0.0069 0.0066 0.0068 0.0068 0.0066 0.0066 0.0065 0.0068 0.0071 0.0074 0.0077 0.0080 0.0080 0.0080 0.0083 0.0082 0.0083 0.0083 0.0082 0.0078 0.0072 0.0072 0.0069 0.0065 0.0066 0.0066 0.0060 0.0051 0.0048 0.0051 0.0060 0.0071 0.0075 0.0082 0.0085 0.0086 0.0086 0.0088 0.0089 0.0092 0.0089 0.0088 0.0078 0.0068 0.0062 0.0049 0.0042 0.0042 0.0040 0.0043 0.0043 0.0046 0.0066 0.0106 0.0134 0.0138 0.0140 0.0140 0.0141 0.0137 0.0137 0.0132 0.0126 0.0125 0.0121 0.0123 0.0125 0.0125 0.0123 0.0123 0.0121 0.0121 0.0121 0.0118 0.0117 0.0117 0.0115 0.0114 0.0112 0.0106 0.0105 0.0105 0.0100 0.0097 0.0097 0.0092 0.0091 0.0088 0.0086 0.0085 0.0086 0.0085 0.0083 0.0086 0.0085 0.0083 0.0082 0.0080 0.0077 0.0077 0.0078 0.0082 0.0083 0.0089 0.0091 0.0095 0.0097 0.0092 0.0095 0.0098 0.0092 0.0092 0.0092 0.0083 0.0083 0.0086 0.0082 0.0083 0.0088 0.0086 0.0088 0.0089 0.0085 0.0078 0.0071 0.0063 0.0060 0.0060 0.0063 0.0066 0.0080 0.0094 0.0101 0.0109 0.0109 0.0115 0.0120 0.0123 0.0123 0.0128 0.0134 0.0141 0.0141 0.0145 0.0148 0.0152 0.0152 0.0152 0.0155 0.0155 0.0154 0.0157 0.0157 0.0157 0.0157 0.0157 0.0157 0.0155 0.0151 0.0145 0.0068 0.0068 0.0069 0.0072 0.0069 0.0071 0.0071 0.0066 0.0066 0.0069 0.0071 0.0069 0.0068 0.0068 0.0066 0.0068 0.0071 0.0066 0.0066 0.0066 0.0068 0.0068 0.0069 0.0074 0.0072 0.0071 0.0069 0.0071 0.0071 0.0074 0.0069 0.0068 0.0072 0.0072 0.0071 0.0072 0.0071 0.0071 0.0072 0.0072 0.0071 0.0071 0.0071 0.0069 0.0072 0.0072 0.0071 0.0069 0.0069 0.0071 0.0068 0.0069 0.0071 0.0071 0.0071 0.0072 0.0071 0.0074 0.0071 0.0071 0.0072 0.0069 0.0071 0.0071 0.0071 0.0074 0.0077 0.0075 0.0074 0.0074 0.0074 0.0072 0.0072 0.0077 0.0077 0.0074 0.0071 0.0071 0.0077 0.0075 0.0074 0.0074 0.0075 0.0072 0.0069 0.0071 0.0069 0.0072 0.0068 0.0066 0.0069 0.0066 0.0066 0.0068 0.0069 0.0066 0.0063 0.0066 0.0069 0.0068 0.0065 0.0068 0.0071 0.0069 0.0068 0.0071 0.0069 0.0072 0.0074 0.0074 0.0074 0.0075 0.0077 0.0077 0.0077 0.0078 0.0080 0.0082 0.0080 0.0082 0.0082 0.0082 0.0080 0.0078 0.0080 0.0077 0.0078 0.0072 0.0072 0.0075 0.0077 0.0074 0.0075 0.0074 0.0072 0.0072 0.0071 0.0071 0.0075 0.0074 0.0077 0.0072 0.0071 0.0069 0.0068 0.0069 0.0069 0.0071 0.0069 0.0066 0.0068 0.0066 0.0065 0.0065 0.0065 0.0063 0.0066 0.0068 0.0068 0.0071 0.0068 0.0071 0.0072 0.0071 0.0072 0.0072 0.0074 0.0077 0.0074 0.0077 0.0078 0.0077 0.0078 0.0077 0.0075 0.0074 0.0075 0.0072 0.0074 0.0074 0.0074 0.0072 0.0074 0.0074 0.0071 0.0072 0.0069 0.0071 0.0074 0.0074 0.0072 0.0072 0.0075 0.0078 0.0080 0.0077 0.0077 0.0077 0.0078 0.0080 0.0080 0.0078 0.0080 0.0080 0.0080 0.0080 0.0083 0.0083 0.0082 0.0077 0.0074 0.0074 0.0071 0.0074 0.0069 0.0069 0.0071 0.0071 0.0069 0.0069 0.0066 0.0065 0.0066 0.0066 0.0069 0.0071 0.0069 0.0069 0.0069 0.0066 0.0066 0.0071 0.0072 0.0075 0.0077 0.0078 0.0080 0.0082 0.0085 0.0082 0.0083 0.0077 0.0078 0.0075 0.0074 0.0074 0.0071 0.0066 0.0063 0.0063 0.0063 0.0072 0.0086 0.0100 0.0114 0.0120 0.0121 0.0125 0.0125 0.0128 0.0129 0.0131 0.0131 0.0131 0.0131 0.0129 0.0126 0.0120 0.0114 0.0097 0.0080 0.0060 0.0045 0.0042 0.0051 0.0089 0.0128 0.0146 0.0148 0.0146 0.0146 0.0141 0.0141 0.0137 0.0137 0.0134 0.0131 0.0128 0.0128 0.0131 0.0131 0.0129 0.0129 0.0132 0.0131 0.0129 0.0128 0.0128 0.0123 0.0121 0.0120 0.0118 0.0117 0.0114 0.0111 0.0109 0.0105 0.0103 0.0103 0.0100 0.0097 0.0094 0.0089 0.0088 0.0086 0.0086 0.0086 0.0085 0.0086 0.0085 0.0083 0.0083 0.0080 0.0078 0.0077 0.0078 0.0078 0.0078 0.0082 0.0086 0.0094 0.0092 0.0091 0.0094 0.0091 0.0092 0.0086 0.0083 0.0085 0.0088 0.0082 0.0082 0.0083 0.0083 0.0086 0.0089 0.0086 0.0074 0.0068 0.0062 0.0057 0.0057 0.0058 0.0062 0.0074 0.0091 0.0103 0.0103 0.0106 0.0112 0.0120 0.0121 0.0121 0.0129 0.0137 0.0141 0.0146 0.0146 0.0146 0.0154 0.0155 0.0157 0.0155 0.0155 0.0158 0.0157 0.0158 0.0157 0.0161 0.0158 0.0154 0.0157 0.0151 0.0149 0.0068 0.0068 0.0069 0.0071 0.0069 0.0068 0.0071 0.0068 0.0069 0.0071 0.0072 0.0071 0.0069 0.0069 0.0068 0.0069 0.0071 0.0068 0.0066 0.0068 0.0068 0.0068 0.0068 0.0072 0.0074 0.0074 0.0071 0.0071 0.0072 0.0071 0.0071 0.0069 0.0071 0.0074 0.0074 0.0074 0.0072 0.0072 0.0072 0.0074 0.0074 0.0074 0.0071 0.0068 0.0072 0.0071 0.0069 0.0068 0.0071 0.0069 0.0068 0.0071 0.0072 0.0068 0.0072 0.0074 0.0072 0.0074 0.0072 0.0072 0.0072 0.0075 0.0072 0.0072 0.0074 0.0075 0.0075 0.0074 0.0074 0.0074 0.0075 0.0075 0.0075 0.0077 0.0077 0.0075 0.0074 0.0072 0.0074 0.0072 0.0069 0.0071 0.0071 0.0072 0.0068 0.0069 0.0069 0.0069 0.0066 0.0069 0.0069 0.0066 0.0065 0.0069 0.0069 0.0068 0.0065 0.0068 0.0071 0.0069 0.0066 0.0069 0.0069 0.0068 0.0069 0.0074 0.0074 0.0071 0.0074 0.0075 0.0074 0.0075 0.0075 0.0077 0.0077 0.0078 0.0080 0.0080 0.0082 0.0082 0.0078 0.0077 0.0077 0.0077 0.0077 0.0075 0.0075 0.0072 0.0075 0.0077 0.0077 0.0075 0.0077 0.0075 0.0072 0.0074 0.0075 0.0074 0.0077 0.0074 0.0075 0.0074 0.0075 0.0074 0.0071 0.0069 0.0072 0.0074 0.0071 0.0068 0.0071 0.0068 0.0068 0.0068 0.0068 0.0068 0.0066 0.0069 0.0068 0.0066 0.0065 0.0069 0.0071 0.0068 0.0066 0.0069 0.0068 0.0069 0.0071 0.0072 0.0075 0.0075 0.0074 0.0074 0.0077 0.0077 0.0075 0.0075 0.0072 0.0074 0.0072 0.0074 0.0071 0.0074 0.0077 0.0077 0.0075 0.0077 0.0077 0.0077 0.0075 0.0075 0.0074 0.0077 0.0078 0.0077 0.0078 0.0080 0.0082 0.0082 0.0082 0.0080 0.0082 0.0083 0.0083 0.0080 0.0082 0.0078 0.0080 0.0078 0.0075 0.0072 0.0071 0.0074 0.0071 0.0072 0.0074 0.0075 0.0071 0.0069 0.0068 0.0065 0.0065 0.0068 0.0069 0.0069 0.0071 0.0072 0.0071 0.0071 0.0072 0.0074 0.0075 0.0077 0.0075 0.0078 0.0082 0.0082 0.0083 0.0082 0.0082 0.0080 0.0075 0.0074 0.0072 0.0075 0.0077 0.0082 0.0094 0.0108 0.0118 0.0129 0.0137 0.0141 0.0143 0.0143 0.0145 0.0145 0.0145 0.0146 0.0146 0.0148 0.0146 0.0146 0.0145 0.0143 0.0140 0.0138 0.0134 0.0132 0.0126 0.0114 0.0095 0.0077 0.0108 0.0141 0.0148 0.0149 0.0151 0.0148 0.0143 0.0143 0.0145 0.0140 0.0138 0.0137 0.0138 0.0137 0.0137 0.0137 0.0135 0.0134 0.0140 0.0143 0.0140 0.0138 0.0140 0.0137 0.0131 0.0131 0.0129 0.0126 0.0123 0.0120 0.0118 0.0117 0.0111 0.0109 0.0108 0.0105 0.0100 0.0098 0.0094 0.0091 0.0089 0.0088 0.0086 0.0085 0.0083 0.0083 0.0083 0.0082 0.0080 0.0080 0.0080 0.0080 0.0078 0.0077 0.0078 0.0080 0.0083 0.0086 0.0089 0.0092 0.0091 0.0091 0.0083 0.0082 0.0083 0.0083 0.0082 0.0082 0.0082 0.0085 0.0085 0.0088 0.0083 0.0072 0.0069 0.0065 0.0055 0.0057 0.0057 0.0055 0.0066 0.0091 0.0100 0.0101 0.0106 0.0114 0.0115 0.0118 0.0123 0.0128 0.0128 0.0137 0.0141 0.0143 0.0149 0.0151 0.0152 0.0154 0.0152 0.0154 0.0152 0.0155 0.0161 0.0160 0.0165 0.0160 0.0155 0.0154 0.0157 0.0149 0.0065 0.0068 0.0069 0.0069 0.0071 0.0069 0.0072 0.0069 0.0066 0.0072 0.0071 0.0071 0.0069 0.0069 0.0069 0.0069 0.0069 0.0069 0.0068 0.0069 0.0066 0.0068 0.0066 0.0068 0.0071 0.0072 0.0069 0.0071 0.0074 0.0071 0.0069 0.0069 0.0069 0.0074 0.0075 0.0072 0.0071 0.0075 0.0074 0.0071 0.0074 0.0074 0.0074 0.0068 0.0069 0.0071 0.0071 0.0071 0.0071 0.0069 0.0069 0.0071 0.0072 0.0069 0.0071 0.0075 0.0074 0.0075 0.0075 0.0074 0.0074 0.0077 0.0075 0.0075 0.0075 0.0072 0.0074 0.0075 0.0075 0.0077 0.0075 0.0075 0.0074 0.0074 0.0075 0.0074 0.0071 0.0072 0.0072 0.0068 0.0069 0.0068 0.0069 0.0068 0.0068 0.0071 0.0068 0.0068 0.0068 0.0068 0.0068 0.0066 0.0068 0.0069 0.0066 0.0068 0.0068 0.0066 0.0069 0.0072 0.0069 0.0069 0.0069 0.0071 0.0068 0.0071 0.0072 0.0074 0.0074 0.0077 0.0075 0.0074 0.0075 0.0077 0.0078 0.0080 0.0082 0.0080 0.0078 0.0077 0.0077 0.0077 0.0080 0.0083 0.0077 0.0077 0.0075 0.0075 0.0078 0.0075 0.0075 0.0074 0.0075 0.0077 0.0077 0.0077 0.0072 0.0074 0.0077 0.0075 0.0074 0.0074 0.0074 0.0071 0.0074 0.0071 0.0074 0.0074 0.0071 0.0068 0.0069 0.0069 0.0069 0.0072 0.0069 0.0071 0.0071 0.0071 0.0072 0.0068 0.0069 0.0071 0.0069 0.0068 0.0066 0.0069 0.0071 0.0069 0.0071 0.0071 0.0071 0.0071 0.0068 0.0069 0.0072 0.0072 0.0074 0.0074 0.0072 0.0072 0.0074 0.0077 0.0074 0.0078 0.0082 0.0080 0.0078 0.0078 0.0082 0.0080 0.0078 0.0077 0.0074 0.0077 0.0080 0.0078 0.0078 0.0080 0.0077 0.0080 0.0080 0.0080 0.0082 0.0080 0.0080 0.0078 0.0077 0.0077 0.0077 0.0072 0.0075 0.0072 0.0072 0.0072 0.0071 0.0072 0.0072 0.0074 0.0074 0.0071 0.0071 0.0066 0.0068 0.0069 0.0072 0.0071 0.0068 0.0072 0.0072 0.0075 0.0077 0.0078 0.0078 0.0080 0.0080 0.0080 0.0082 0.0083 0.0080 0.0078 0.0077 0.0082 0.0082 0.0089 0.0100 0.0112 0.0125 0.0135 0.0145 0.0148 0.0152 0.0154 0.0155 0.0155 0.0158 0.0160 0.0158 0.0161 0.0160 0.0161 0.0160 0.0158 0.0157 0.0155 0.0154 0.0151 0.0149 0.0148 0.0145 0.0141 0.0140 0.0135 0.0128 0.0137 0.0146 0.0151 0.0152 0.0151 0.0146 0.0146 0.0146 0.0146 0.0146 0.0146 0.0145 0.0145 0.0146 0.0146 0.0146 0.0148 0.0146 0.0149 0.0155 0.0155 0.0154 0.0155 0.0154 0.0149 0.0145 0.0141 0.0137 0.0132 0.0131 0.0128 0.0123 0.0121 0.0118 0.0114 0.0112 0.0108 0.0103 0.0101 0.0097 0.0094 0.0092 0.0089 0.0086 0.0086 0.0085 0.0083 0.0083 0.0083 0.0080 0.0082 0.0082 0.0082 0.0082 0.0078 0.0080 0.0078 0.0075 0.0078 0.0082 0.0086 0.0089 0.0088 0.0086 0.0082 0.0080 0.0077 0.0078 0.0082 0.0080 0.0085 0.0083 0.0088 0.0080 0.0072 0.0068 0.0063 0.0052 0.0052 0.0058 0.0057 0.0058 0.0082 0.0098 0.0105 0.0111 0.0114 0.0114 0.0118 0.0125 0.0129 0.0131 0.0131 0.0137 0.0145 0.0145 0.0146 0.0149 0.0154 0.0160 0.0155 0.0154 0.0161 0.0163 0.0161 0.0163 0.0161 0.0161 0.0158 0.0155 0.0149 0.0066 0.0066 0.0071 0.0069 0.0072 0.0072 0.0071 0.0068 0.0068 0.0068 0.0069 0.0072 0.0071 0.0068 0.0068 0.0066 0.0071 0.0071 0.0072 0.0071 0.0068 0.0066 0.0066 0.0066 0.0069 0.0069 0.0071 0.0071 0.0074 0.0072 0.0069 0.0071 0.0071 0.0074 0.0071 0.0071 0.0072 0.0072 0.0075 0.0071 0.0074 0.0075 0.0072 0.0071 0.0069 0.0071 0.0069 0.0071 0.0071 0.0072 0.0071 0.0072 0.0072 0.0072 0.0072 0.0074 0.0074 0.0077 0.0077 0.0071 0.0074 0.0075 0.0075 0.0075 0.0075 0.0074 0.0075 0.0077 0.0075 0.0075 0.0075 0.0072 0.0071 0.0072 0.0072 0.0071 0.0072 0.0068 0.0069 0.0069 0.0069 0.0068 0.0065 0.0065 0.0069 0.0071 0.0068 0.0068 0.0066 0.0066 0.0069 0.0066 0.0068 0.0068 0.0069 0.0071 0.0068 0.0066 0.0072 0.0074 0.0072 0.0071 0.0071 0.0072 0.0071 0.0071 0.0072 0.0072 0.0075 0.0077 0.0075 0.0077 0.0078 0.0078 0.0078 0.0077 0.0078 0.0074 0.0077 0.0078 0.0078 0.0082 0.0083 0.0082 0.0077 0.0078 0.0077 0.0077 0.0080 0.0078 0.0077 0.0075 0.0075 0.0080 0.0077 0.0077 0.0075 0.0075 0.0075 0.0077 0.0074 0.0072 0.0072 0.0075 0.0074 0.0074 0.0075 0.0074 0.0072 0.0071 0.0071 0.0074 0.0074 0.0072 0.0071 0.0072 0.0069 0.0071 0.0075 0.0072 0.0072 0.0071 0.0071 0.0069 0.0068 0.0072 0.0072 0.0072 0.0069 0.0071 0.0071 0.0069 0.0069 0.0068 0.0071 0.0074 0.0072 0.0069 0.0071 0.0074 0.0075 0.0074 0.0074 0.0074 0.0075 0.0074 0.0075 0.0078 0.0077 0.0077 0.0077 0.0075 0.0074 0.0077 0.0080 0.0078 0.0075 0.0075 0.0075 0.0074 0.0074 0.0072 0.0074 0.0075 0.0075 0.0075 0.0072 0.0074 0.0074 0.0072 0.0074 0.0072 0.0072 0.0072 0.0074 0.0074 0.0071 0.0071 0.0069 0.0071 0.0069 0.0066 0.0068 0.0071 0.0071 0.0071 0.0071 0.0074 0.0074 0.0075 0.0077 0.0078 0.0077 0.0085 0.0083 0.0082 0.0077 0.0080 0.0083 0.0089 0.0101 0.0114 0.0126 0.0135 0.0145 0.0152 0.0155 0.0160 0.0160 0.0161 0.0161 0.0163 0.0163 0.0165 0.0166 0.0168 0.0166 0.0168 0.0166 0.0166 0.0166 0.0165 0.0163 0.0161 0.0158 0.0157 0.0155 0.0154 0.0152 0.0151 0.0148 0.0135 0.0138 0.0151 0.0151 0.0152 0.0154 0.0151 0.0149 0.0151 0.0151 0.0152 0.0155 0.0155 0.0154 0.0154 0.0154 0.0157 0.0160 0.0160 0.0161 0.0171 0.0174 0.0171 0.0172 0.0169 0.0166 0.0161 0.0157 0.0149 0.0145 0.0138 0.0137 0.0128 0.0123 0.0120 0.0120 0.0117 0.0114 0.0111 0.0109 0.0106 0.0100 0.0097 0.0094 0.0091 0.0088 0.0086 0.0086 0.0085 0.0083 0.0082 0.0080 0.0080 0.0083 0.0080 0.0082 0.0080 0.0078 0.0077 0.0075 0.0075 0.0077 0.0078 0.0082 0.0085 0.0085 0.0083 0.0080 0.0080 0.0080 0.0080 0.0080 0.0083 0.0085 0.0085 0.0075 0.0071 0.0065 0.0058 0.0051 0.0049 0.0054 0.0051 0.0054 0.0080 0.0101 0.0106 0.0108 0.0109 0.0109 0.0114 0.0118 0.0125 0.0129 0.0129 0.0138 0.0143 0.0140 0.0148 0.0154 0.0154 0.0155 0.0155 0.0158 0.0158 0.0161 0.0158 0.0163 0.0166 0.0158 0.0157 0.0154 0.0149 0.0069 0.0068 0.0069 0.0072 0.0072 0.0069 0.0071 0.0071 0.0069 0.0069 0.0069 0.0071 0.0069 0.0068 0.0068 0.0068 0.0071 0.0071 0.0071 0.0071 0.0071 0.0066 0.0065 0.0065 0.0066 0.0069 0.0071 0.0074 0.0074 0.0074 0.0071 0.0072 0.0074 0.0074 0.0071 0.0071 0.0072 0.0074 0.0077 0.0074 0.0074 0.0072 0.0074 0.0071 0.0069 0.0069 0.0069 0.0069 0.0072 0.0072 0.0072 0.0075 0.0077 0.0074 0.0072 0.0075 0.0074 0.0075 0.0077 0.0075 0.0074 0.0077 0.0077 0.0077 0.0074 0.0074 0.0075 0.0071 0.0071 0.0074 0.0074 0.0071 0.0069 0.0074 0.0072 0.0072 0.0069 0.0066 0.0069 0.0069 0.0069 0.0068 0.0066 0.0065 0.0071 0.0071 0.0068 0.0066 0.0069 0.0068 0.0069 0.0068 0.0069 0.0069 0.0071 0.0074 0.0072 0.0072 0.0072 0.0075 0.0072 0.0072 0.0074 0.0072 0.0069 0.0071 0.0072 0.0074 0.0074 0.0075 0.0078 0.0077 0.0074 0.0075 0.0080 0.0078 0.0075 0.0075 0.0077 0.0077 0.0077 0.0080 0.0082 0.0080 0.0080 0.0077 0.0075 0.0078 0.0080 0.0078 0.0077 0.0077 0.0077 0.0077 0.0078 0.0075 0.0074 0.0075 0.0077 0.0077 0.0075 0.0074 0.0074 0.0074 0.0074 0.0075 0.0075 0.0074 0.0074 0.0075 0.0074 0.0074 0.0075 0.0074 0.0074 0.0072 0.0074 0.0075 0.0072 0.0069 0.0071 0.0071 0.0071 0.0071 0.0069 0.0071 0.0072 0.0072 0.0074 0.0072 0.0071 0.0071 0.0069 0.0069 0.0071 0.0072 0.0069 0.0066 0.0071 0.0071 0.0069 0.0071 0.0072 0.0069 0.0069 0.0069 0.0068 0.0069 0.0069 0.0072 0.0077 0.0074 0.0069 0.0077 0.0080 0.0074 0.0071 0.0072 0.0072 0.0072 0.0072 0.0072 0.0071 0.0072 0.0071 0.0077 0.0074 0.0069 0.0071 0.0072 0.0072 0.0072 0.0071 0.0074 0.0072 0.0072 0.0074 0.0072 0.0069 0.0071 0.0071 0.0074 0.0071 0.0069 0.0069 0.0071 0.0072 0.0074 0.0074 0.0075 0.0077 0.0080 0.0080 0.0080 0.0077 0.0082 0.0088 0.0106 0.0121 0.0135 0.0145 0.0148 0.0155 0.0160 0.0163 0.0166 0.0166 0.0169 0.0171 0.0169 0.0171 0.0172 0.0171 0.0172 0.0172 0.0172 0.0172 0.0171 0.0169 0.0171 0.0169 0.0168 0.0166 0.0165 0.0163 0.0161 0.0160 0.0158 0.0157 0.0155 0.0141 0.0138 0.0152 0.0154 0.0152 0.0152 0.0157 0.0154 0.0155 0.0158 0.0158 0.0163 0.0168 0.0166 0.0165 0.0163 0.0166 0.0175 0.0178 0.0174 0.0178 0.0188 0.0188 0.0185 0.0181 0.0177 0.0171 0.0165 0.0158 0.0155 0.0152 0.0145 0.0140 0.0132 0.0128 0.0121 0.0117 0.0114 0.0112 0.0111 0.0108 0.0106 0.0101 0.0100 0.0095 0.0094 0.0091 0.0088 0.0086 0.0086 0.0083 0.0082 0.0083 0.0082 0.0080 0.0080 0.0077 0.0077 0.0078 0.0077 0.0078 0.0075 0.0075 0.0075 0.0075 0.0078 0.0080 0.0080 0.0080 0.0078 0.0078 0.0077 0.0078 0.0082 0.0086 0.0083 0.0074 0.0069 0.0063 0.0057 0.0052 0.0046 0.0052 0.0049 0.0054 0.0077 0.0094 0.0098 0.0105 0.0108 0.0106 0.0112 0.0117 0.0118 0.0126 0.0129 0.0137 0.0140 0.0141 0.0148 0.0152 0.0151 0.0154 0.0154 0.0158 0.0154 0.0155 0.0160 0.0163 0.0160 0.0154 0.0152 0.0151 0.0145 0.0066 0.0068 0.0069 0.0072 0.0072 0.0071 0.0071 0.0071 0.0069 0.0069 0.0069 0.0068 0.0066 0.0068 0.0069 0.0066 0.0068 0.0071 0.0069 0.0071 0.0072 0.0069 0.0066 0.0065 0.0063 0.0068 0.0072 0.0072 0.0074 0.0074 0.0075 0.0074 0.0072 0.0072 0.0072 0.0074 0.0074 0.0077 0.0077 0.0075 0.0072 0.0071 0.0074 0.0074 0.0072 0.0075 0.0077 0.0072 0.0072 0.0074 0.0074 0.0075 0.0077 0.0074 0.0072 0.0075 0.0072 0.0074 0.0077 0.0077 0.0077 0.0078 0.0077 0.0075 0.0074 0.0072 0.0071 0.0071 0.0069 0.0072 0.0072 0.0071 0.0069 0.0071 0.0072 0.0069 0.0068 0.0068 0.0069 0.0066 0.0069 0.0069 0.0069 0.0066 0.0068 0.0069 0.0069 0.0068 0.0068 0.0068 0.0072 0.0074 0.0071 0.0071 0.0074 0.0074 0.0071 0.0074 0.0074 0.0072 0.0072 0.0068 0.0072 0.0072 0.0066 0.0071 0.0074 0.0072 0.0075 0.0078 0.0077 0.0074 0.0077 0.0078 0.0082 0.0077 0.0075 0.0074 0.0077 0.0077 0.0075 0.0078 0.0080 0.0077 0.0078 0.0077 0.0077 0.0078 0.0078 0.0080 0.0077 0.0078 0.0078 0.0078 0.0077 0.0075 0.0075 0.0078 0.0077 0.0075 0.0075 0.0075 0.0077 0.0074 0.0074 0.0077 0.0077 0.0074 0.0077 0.0075 0.0077 0.0077 0.0074 0.0074 0.0072 0.0074 0.0072 0.0075 0.0075 0.0071 0.0072 0.0072 0.0071 0.0074 0.0071 0.0072 0.0074 0.0071 0.0072 0.0071 0.0072 0.0072 0.0071 0.0074 0.0074 0.0072 0.0069 0.0068 0.0071 0.0068 0.0071 0.0071 0.0069 0.0068 0.0068 0.0066 0.0066 0.0066 0.0068 0.0069 0.0075 0.0077 0.0069 0.0072 0.0075 0.0071 0.0071 0.0068 0.0068 0.0071 0.0069 0.0071 0.0068 0.0071 0.0071 0.0071 0.0069 0.0071 0.0072 0.0074 0.0072 0.0071 0.0071 0.0069 0.0069 0.0072 0.0072 0.0075 0.0074 0.0071 0.0069 0.0071 0.0071 0.0072 0.0071 0.0071 0.0074 0.0075 0.0074 0.0075 0.0075 0.0078 0.0080 0.0082 0.0095 0.0117 0.0134 0.0145 0.0152 0.0157 0.0161 0.0168 0.0172 0.0174 0.0174 0.0174 0.0174 0.0177 0.0175 0.0178 0.0177 0.0177 0.0177 0.0175 0.0175 0.0172 0.0172 0.0172 0.0171 0.0171 0.0171 0.0168 0.0168 0.0166 0.0166 0.0165 0.0163 0.0161 0.0157 0.0145 0.0140 0.0157 0.0160 0.0152 0.0151 0.0157 0.0161 0.0161 0.0166 0.0166 0.0166 0.0171 0.0172 0.0169 0.0172 0.0174 0.0178 0.0189 0.0185 0.0183 0.0192 0.0194 0.0189 0.0188 0.0181 0.0180 0.0174 0.0168 0.0161 0.0155 0.0154 0.0152 0.0141 0.0134 0.0128 0.0123 0.0118 0.0117 0.0114 0.0112 0.0109 0.0106 0.0103 0.0101 0.0097 0.0095 0.0089 0.0088 0.0086 0.0086 0.0082 0.0083 0.0082 0.0080 0.0080 0.0078 0.0075 0.0078 0.0078 0.0075 0.0077 0.0077 0.0075 0.0075 0.0074 0.0075 0.0074 0.0074 0.0077 0.0077 0.0077 0.0075 0.0075 0.0080 0.0083 0.0080 0.0072 0.0063 0.0057 0.0055 0.0049 0.0046 0.0051 0.0052 0.0052 0.0077 0.0097 0.0100 0.0101 0.0103 0.0111 0.0114 0.0117 0.0121 0.0123 0.0128 0.0132 0.0137 0.0141 0.0148 0.0146 0.0151 0.0152 0.0154 0.0157 0.0158 0.0157 0.0158 0.0160 0.0161 0.0160 0.0157 0.0155 0.0151 0.0066 0.0069 0.0071 0.0074 0.0072 0.0069 0.0069 0.0069 0.0069 0.0069 0.0068 0.0066 0.0069 0.0071 0.0069 0.0065 0.0066 0.0069 0.0072 0.0071 0.0069 0.0068 0.0068 0.0065 0.0063 0.0068 0.0072 0.0071 0.0072 0.0075 0.0074 0.0074 0.0074 0.0074 0.0072 0.0072 0.0074 0.0075 0.0074 0.0074 0.0074 0.0077 0.0075 0.0075 0.0075 0.0075 0.0077 0.0074 0.0069 0.0075 0.0074 0.0074 0.0072 0.0075 0.0077 0.0077 0.0078 0.0075 0.0075 0.0077 0.0072 0.0072 0.0072 0.0071 0.0071 0.0069 0.0071 0.0072 0.0072 0.0072 0.0072 0.0071 0.0074 0.0074 0.0071 0.0069 0.0069 0.0068 0.0071 0.0071 0.0071 0.0071 0.0072 0.0071 0.0069 0.0072 0.0072 0.0068 0.0068 0.0068 0.0069 0.0071 0.0071 0.0072 0.0075 0.0071 0.0071 0.0071 0.0072 0.0072 0.0069 0.0068 0.0068 0.0071 0.0072 0.0072 0.0072 0.0071 0.0074 0.0075 0.0077 0.0077 0.0075 0.0077 0.0077 0.0077 0.0078 0.0078 0.0077 0.0075 0.0077 0.0077 0.0077 0.0077 0.0077 0.0078 0.0078 0.0078 0.0080 0.0078 0.0077 0.0077 0.0075 0.0078 0.0078 0.0077 0.0077 0.0077 0.0077 0.0077 0.0075 0.0077 0.0077 0.0074 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0077 0.0072 0.0075 0.0074 0.0074 0.0074 0.0075 0.0075 0.0074 0.0074 0.0072 0.0072 0.0075 0.0074 0.0074 0.0074 0.0069 0.0071 0.0071 0.0072 0.0074 0.0071 0.0071 0.0071 0.0072 0.0071 0.0068 0.0071 0.0071 0.0072 0.0072 0.0071 0.0071 0.0071 0.0066 0.0062 0.0069 0.0072 0.0071 0.0074 0.0078 0.0074 0.0071 0.0075 0.0072 0.0069 0.0066 0.0068 0.0068 0.0068 0.0066 0.0068 0.0069 0.0069 0.0069 0.0071 0.0068 0.0069 0.0071 0.0069 0.0066 0.0069 0.0071 0.0071 0.0072 0.0071 0.0072 0.0077 0.0072 0.0071 0.0068 0.0072 0.0072 0.0071 0.0074 0.0077 0.0075 0.0075 0.0074 0.0072 0.0080 0.0100 0.0120 0.0141 0.0154 0.0160 0.0163 0.0171 0.0172 0.0175 0.0178 0.0180 0.0181 0.0180 0.0181 0.0181 0.0183 0.0181 0.0183 0.0183 0.0180 0.0180 0.0180 0.0177 0.0177 0.0175 0.0172 0.0172 0.0171 0.0172 0.0171 0.0171 0.0168 0.0169 0.0166 0.0165 0.0163 0.0152 0.0146 0.0161 0.0163 0.0154 0.0157 0.0161 0.0166 0.0169 0.0172 0.0174 0.0172 0.0172 0.0177 0.0175 0.0177 0.0181 0.0186 0.0188 0.0189 0.0185 0.0191 0.0195 0.0191 0.0189 0.0189 0.0188 0.0183 0.0180 0.0172 0.0165 0.0154 0.0146 0.0151 0.0146 0.0134 0.0131 0.0126 0.0120 0.0117 0.0114 0.0115 0.0111 0.0105 0.0103 0.0098 0.0097 0.0094 0.0092 0.0089 0.0088 0.0085 0.0086 0.0085 0.0083 0.0080 0.0082 0.0080 0.0077 0.0077 0.0077 0.0075 0.0075 0.0074 0.0077 0.0075 0.0075 0.0072 0.0071 0.0072 0.0071 0.0072 0.0072 0.0074 0.0075 0.0077 0.0082 0.0078 0.0071 0.0062 0.0054 0.0052 0.0048 0.0045 0.0049 0.0049 0.0051 0.0074 0.0094 0.0100 0.0098 0.0100 0.0105 0.0112 0.0114 0.0118 0.0120 0.0123 0.0128 0.0137 0.0143 0.0146 0.0149 0.0151 0.0155 0.0160 0.0155 0.0160 0.0155 0.0161 0.0160 0.0160 0.0157 0.0160 0.0151 0.0152 0.0068 0.0069 0.0071 0.0071 0.0069 0.0069 0.0072 0.0072 0.0069 0.0069 0.0068 0.0069 0.0071 0.0068 0.0068 0.0065 0.0066 0.0069 0.0072 0.0074 0.0071 0.0072 0.0072 0.0068 0.0065 0.0065 0.0071 0.0071 0.0072 0.0074 0.0075 0.0072 0.0074 0.0074 0.0074 0.0075 0.0075 0.0077 0.0074 0.0071 0.0077 0.0077 0.0075 0.0075 0.0074 0.0074 0.0077 0.0075 0.0074 0.0075 0.0074 0.0075 0.0075 0.0077 0.0077 0.0075 0.0077 0.0074 0.0074 0.0071 0.0069 0.0069 0.0071 0.0066 0.0068 0.0072 0.0075 0.0074 0.0072 0.0072 0.0074 0.0074 0.0075 0.0074 0.0071 0.0072 0.0068 0.0068 0.0071 0.0071 0.0069 0.0069 0.0074 0.0071 0.0069 0.0071 0.0071 0.0068 0.0071 0.0071 0.0069 0.0069 0.0072 0.0071 0.0072 0.0072 0.0072 0.0072 0.0072 0.0072 0.0069 0.0068 0.0068 0.0071 0.0072 0.0072 0.0072 0.0072 0.0072 0.0072 0.0075 0.0075 0.0078 0.0080 0.0080 0.0078 0.0078 0.0078 0.0075 0.0074 0.0075 0.0075 0.0077 0.0077 0.0080 0.0078 0.0082 0.0078 0.0080 0.0080 0.0078 0.0075 0.0075 0.0077 0.0077 0.0077 0.0080 0.0078 0.0075 0.0074 0.0075 0.0077 0.0077 0.0075 0.0077 0.0077 0.0077 0.0075 0.0074 0.0075 0.0072 0.0074 0.0074 0.0075 0.0074 0.0072 0.0072 0.0071 0.0074 0.0075 0.0074 0.0071 0.0072 0.0075 0.0075 0.0074 0.0071 0.0072 0.0071 0.0072 0.0074 0.0074 0.0069 0.0071 0.0069 0.0072 0.0075 0.0072 0.0074 0.0074 0.0075 0.0074 0.0075 0.0077 0.0075 0.0066 0.0063 0.0068 0.0069 0.0071 0.0072 0.0074 0.0075 0.0074 0.0071 0.0066 0.0066 0.0068 0.0066 0.0071 0.0069 0.0065 0.0066 0.0069 0.0071 0.0069 0.0068 0.0068 0.0066 0.0069 0.0068 0.0068 0.0069 0.0072 0.0072 0.0072 0.0072 0.0072 0.0074 0.0074 0.0072 0.0072 0.0072 0.0069 0.0071 0.0074 0.0075 0.0075 0.0072 0.0082 0.0101 0.0126 0.0146 0.0158 0.0166 0.0171 0.0174 0.0175 0.0178 0.0181 0.0183 0.0185 0.0185 0.0183 0.0185 0.0186 0.0186 0.0186 0.0186 0.0185 0.0185 0.0183 0.0183 0.0181 0.0178 0.0178 0.0177 0.0175 0.0174 0.0174 0.0174 0.0171 0.0171 0.0169 0.0169 0.0168 0.0168 0.0158 0.0148 0.0160 0.0163 0.0154 0.0160 0.0168 0.0171 0.0174 0.0175 0.0183 0.0180 0.0181 0.0180 0.0181 0.0181 0.0186 0.0186 0.0191 0.0192 0.0186 0.0186 0.0195 0.0200 0.0197 0.0192 0.0191 0.0189 0.0185 0.0180 0.0171 0.0161 0.0154 0.0145 0.0145 0.0148 0.0141 0.0135 0.0126 0.0115 0.0115 0.0112 0.0112 0.0114 0.0108 0.0101 0.0100 0.0100 0.0097 0.0092 0.0092 0.0088 0.0085 0.0085 0.0085 0.0082 0.0083 0.0083 0.0080 0.0078 0.0075 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0075 0.0075 0.0074 0.0072 0.0072 0.0071 0.0068 0.0068 0.0071 0.0078 0.0083 0.0077 0.0069 0.0060 0.0051 0.0048 0.0048 0.0046 0.0051 0.0049 0.0049 0.0075 0.0094 0.0100 0.0100 0.0103 0.0103 0.0105 0.0111 0.0112 0.0117 0.0123 0.0128 0.0137 0.0140 0.0145 0.0148 0.0149 0.0151 0.0155 0.0154 0.0152 0.0157 0.0163 0.0161 0.0155 0.0158 0.0155 0.0154 0.0152 0.0071 0.0069 0.0069 0.0071 0.0069 0.0071 0.0072 0.0074 0.0068 0.0065 0.0066 0.0071 0.0069 0.0065 0.0068 0.0066 0.0066 0.0072 0.0072 0.0072 0.0074 0.0077 0.0074 0.0071 0.0068 0.0068 0.0071 0.0074 0.0074 0.0072 0.0074 0.0071 0.0075 0.0077 0.0074 0.0075 0.0077 0.0075 0.0074 0.0077 0.0077 0.0077 0.0078 0.0075 0.0074 0.0077 0.0077 0.0077 0.0072 0.0074 0.0074 0.0075 0.0075 0.0077 0.0074 0.0074 0.0071 0.0071 0.0071 0.0069 0.0071 0.0072 0.0071 0.0068 0.0072 0.0074 0.0075 0.0074 0.0069 0.0072 0.0074 0.0075 0.0075 0.0074 0.0075 0.0074 0.0069 0.0068 0.0069 0.0072 0.0072 0.0074 0.0074 0.0074 0.0072 0.0072 0.0069 0.0071 0.0069 0.0071 0.0071 0.0069 0.0071 0.0072 0.0071 0.0074 0.0072 0.0075 0.0072 0.0069 0.0068 0.0068 0.0071 0.0068 0.0072 0.0071 0.0074 0.0074 0.0072 0.0075 0.0075 0.0074 0.0078 0.0075 0.0078 0.0078 0.0078 0.0077 0.0074 0.0072 0.0072 0.0075 0.0075 0.0078 0.0075 0.0077 0.0082 0.0078 0.0080 0.0080 0.0075 0.0075 0.0075 0.0075 0.0078 0.0080 0.0077 0.0077 0.0078 0.0075 0.0074 0.0074 0.0077 0.0074 0.0074 0.0074 0.0075 0.0077 0.0075 0.0077 0.0074 0.0072 0.0074 0.0075 0.0072 0.0072 0.0074 0.0072 0.0074 0.0075 0.0077 0.0072 0.0074 0.0075 0.0072 0.0072 0.0072 0.0072 0.0072 0.0075 0.0077 0.0072 0.0071 0.0072 0.0075 0.0074 0.0075 0.0074 0.0072 0.0072 0.0075 0.0077 0.0077 0.0074 0.0071 0.0068 0.0065 0.0068 0.0071 0.0072 0.0072 0.0075 0.0074 0.0072 0.0066 0.0065 0.0066 0.0068 0.0069 0.0072 0.0068 0.0065 0.0068 0.0072 0.0068 0.0068 0.0068 0.0069 0.0069 0.0068 0.0065 0.0069 0.0068 0.0068 0.0069 0.0072 0.0075 0.0074 0.0072 0.0072 0.0069 0.0072 0.0075 0.0071 0.0071 0.0072 0.0072 0.0082 0.0105 0.0134 0.0152 0.0161 0.0169 0.0174 0.0178 0.0181 0.0185 0.0183 0.0186 0.0186 0.0186 0.0188 0.0189 0.0188 0.0189 0.0191 0.0191 0.0188 0.0188 0.0188 0.0186 0.0186 0.0185 0.0183 0.0181 0.0181 0.0178 0.0178 0.0178 0.0175 0.0174 0.0174 0.0172 0.0169 0.0169 0.0169 0.0163 0.0149 0.0165 0.0166 0.0155 0.0160 0.0168 0.0171 0.0177 0.0181 0.0186 0.0188 0.0189 0.0192 0.0189 0.0185 0.0188 0.0189 0.0189 0.0194 0.0188 0.0185 0.0192 0.0194 0.0197 0.0197 0.0195 0.0192 0.0191 0.0186 0.0178 0.0171 0.0163 0.0155 0.0149 0.0146 0.0145 0.0141 0.0134 0.0128 0.0121 0.0117 0.0112 0.0112 0.0114 0.0108 0.0106 0.0108 0.0101 0.0103 0.0097 0.0095 0.0092 0.0089 0.0088 0.0083 0.0083 0.0082 0.0082 0.0080 0.0077 0.0075 0.0075 0.0075 0.0075 0.0072 0.0072 0.0075 0.0074 0.0075 0.0075 0.0072 0.0072 0.0072 0.0069 0.0066 0.0065 0.0068 0.0072 0.0075 0.0071 0.0058 0.0051 0.0046 0.0046 0.0043 0.0046 0.0046 0.0048 0.0077 0.0097 0.0100 0.0098 0.0101 0.0101 0.0106 0.0111 0.0111 0.0114 0.0121 0.0128 0.0134 0.0137 0.0145 0.0151 0.0149 0.0155 0.0154 0.0152 0.0155 0.0158 0.0160 0.0160 0.0161 0.0163 0.0154 0.0154 0.0155 0.0069 0.0068 0.0068 0.0069 0.0071 0.0071 0.0072 0.0071 0.0069 0.0068 0.0068 0.0071 0.0072 0.0068 0.0068 0.0066 0.0066 0.0071 0.0074 0.0072 0.0075 0.0075 0.0072 0.0069 0.0069 0.0069 0.0072 0.0075 0.0075 0.0075 0.0074 0.0074 0.0077 0.0077 0.0075 0.0078 0.0075 0.0075 0.0077 0.0077 0.0075 0.0078 0.0077 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0077 0.0074 0.0074 0.0074 0.0072 0.0071 0.0068 0.0068 0.0069 0.0071 0.0072 0.0071 0.0069 0.0069 0.0071 0.0072 0.0071 0.0075 0.0075 0.0077 0.0075 0.0077 0.0075 0.0077 0.0075 0.0071 0.0072 0.0069 0.0069 0.0074 0.0072 0.0075 0.0078 0.0075 0.0072 0.0074 0.0074 0.0072 0.0069 0.0069 0.0072 0.0069 0.0069 0.0071 0.0071 0.0072 0.0074 0.0075 0.0072 0.0068 0.0068 0.0069 0.0071 0.0071 0.0071 0.0071 0.0074 0.0075 0.0074 0.0075 0.0072 0.0072 0.0075 0.0075 0.0075 0.0075 0.0077 0.0077 0.0074 0.0074 0.0075 0.0074 0.0074 0.0077 0.0078 0.0080 0.0083 0.0077 0.0078 0.0082 0.0077 0.0077 0.0078 0.0075 0.0077 0.0080 0.0078 0.0078 0.0078 0.0078 0.0077 0.0077 0.0074 0.0075 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0075 0.0074 0.0071 0.0074 0.0074 0.0075 0.0075 0.0074 0.0077 0.0075 0.0075 0.0072 0.0072 0.0072 0.0071 0.0072 0.0075 0.0074 0.0074 0.0075 0.0077 0.0075 0.0072 0.0074 0.0075 0.0074 0.0072 0.0072 0.0071 0.0071 0.0074 0.0074 0.0075 0.0074 0.0072 0.0068 0.0066 0.0072 0.0074 0.0072 0.0072 0.0074 0.0071 0.0072 0.0071 0.0068 0.0068 0.0068 0.0071 0.0071 0.0072 0.0072 0.0071 0.0069 0.0066 0.0069 0.0069 0.0066 0.0069 0.0066 0.0068 0.0069 0.0066 0.0068 0.0066 0.0072 0.0072 0.0071 0.0071 0.0068 0.0069 0.0072 0.0071 0.0069 0.0072 0.0088 0.0111 0.0140 0.0158 0.0165 0.0169 0.0174 0.0180 0.0183 0.0183 0.0186 0.0189 0.0186 0.0189 0.0191 0.0189 0.0191 0.0194 0.0191 0.0191 0.0189 0.0191 0.0192 0.0189 0.0189 0.0188 0.0186 0.0186 0.0186 0.0185 0.0181 0.0178 0.0178 0.0177 0.0178 0.0175 0.0172 0.0172 0.0171 0.0171 0.0168 0.0154 0.0161 0.0169 0.0157 0.0161 0.0169 0.0174 0.0181 0.0185 0.0185 0.0189 0.0192 0.0194 0.0194 0.0191 0.0189 0.0192 0.0189 0.0192 0.0189 0.0183 0.0191 0.0194 0.0194 0.0197 0.0197 0.0191 0.0191 0.0192 0.0185 0.0180 0.0174 0.0165 0.0158 0.0155 0.0151 0.0146 0.0140 0.0134 0.0129 0.0123 0.0117 0.0115 0.0114 0.0112 0.0108 0.0108 0.0114 0.0108 0.0100 0.0098 0.0095 0.0095 0.0092 0.0088 0.0085 0.0083 0.0082 0.0082 0.0078 0.0078 0.0080 0.0077 0.0075 0.0075 0.0075 0.0074 0.0074 0.0074 0.0074 0.0074 0.0074 0.0071 0.0069 0.0071 0.0068 0.0065 0.0062 0.0058 0.0063 0.0069 0.0060 0.0051 0.0043 0.0042 0.0040 0.0046 0.0045 0.0046 0.0078 0.0094 0.0098 0.0098 0.0101 0.0103 0.0106 0.0111 0.0115 0.0117 0.0123 0.0126 0.0132 0.0138 0.0145 0.0149 0.0155 0.0157 0.0157 0.0158 0.0157 0.0158 0.0157 0.0161 0.0163 0.0160 0.0158 0.0155 0.0149 0.0066 0.0068 0.0069 0.0071 0.0071 0.0072 0.0072 0.0071 0.0069 0.0071 0.0071 0.0071 0.0071 0.0069 0.0068 0.0069 0.0069 0.0069 0.0075 0.0074 0.0074 0.0074 0.0072 0.0068 0.0068 0.0069 0.0074 0.0077 0.0074 0.0074 0.0075 0.0075 0.0075 0.0077 0.0080 0.0078 0.0075 0.0077 0.0077 0.0077 0.0075 0.0077 0.0075 0.0077 0.0077 0.0078 0.0075 0.0075 0.0074 0.0072 0.0071 0.0071 0.0071 0.0071 0.0069 0.0071 0.0066 0.0068 0.0068 0.0074 0.0072 0.0069 0.0072 0.0069 0.0069 0.0069 0.0072 0.0074 0.0074 0.0074 0.0072 0.0077 0.0078 0.0078 0.0074 0.0072 0.0072 0.0069 0.0071 0.0074 0.0074 0.0074 0.0077 0.0074 0.0075 0.0075 0.0074 0.0071 0.0071 0.0072 0.0069 0.0068 0.0069 0.0071 0.0072 0.0075 0.0075 0.0075 0.0072 0.0071 0.0069 0.0071 0.0071 0.0072 0.0069 0.0071 0.0075 0.0078 0.0075 0.0072 0.0072 0.0074 0.0074 0.0075 0.0075 0.0077 0.0077 0.0078 0.0075 0.0077 0.0078 0.0075 0.0074 0.0075 0.0075 0.0078 0.0078 0.0075 0.0075 0.0078 0.0078 0.0078 0.0080 0.0075 0.0075 0.0077 0.0077 0.0075 0.0075 0.0077 0.0078 0.0077 0.0074 0.0075 0.0077 0.0075 0.0075 0.0074 0.0077 0.0075 0.0074 0.0072 0.0075 0.0077 0.0074 0.0074 0.0075 0.0075 0.0075 0.0074 0.0074 0.0072 0.0071 0.0071 0.0074 0.0072 0.0071 0.0072 0.0074 0.0075 0.0074 0.0072 0.0071 0.0072 0.0072 0.0074 0.0075 0.0071 0.0071 0.0074 0.0074 0.0074 0.0077 0.0077 0.0075 0.0069 0.0072 0.0071 0.0069 0.0072 0.0071 0.0072 0.0072 0.0075 0.0074 0.0074 0.0069 0.0071 0.0072 0.0069 0.0068 0.0071 0.0071 0.0069 0.0068 0.0069 0.0072 0.0071 0.0071 0.0068 0.0069 0.0071 0.0068 0.0069 0.0069 0.0071 0.0074 0.0071 0.0069 0.0071 0.0071 0.0068 0.0075 0.0094 0.0121 0.0148 0.0160 0.0169 0.0174 0.0178 0.0183 0.0183 0.0186 0.0188 0.0189 0.0189 0.0191 0.0192 0.0194 0.0192 0.0194 0.0194 0.0195 0.0194 0.0192 0.0192 0.0194 0.0192 0.0192 0.0189 0.0188 0.0189 0.0186 0.0185 0.0183 0.0183 0.0180 0.0178 0.0175 0.0177 0.0177 0.0174 0.0171 0.0172 0.0171 0.0163 0.0165 0.0174 0.0160 0.0160 0.0171 0.0178 0.0186 0.0189 0.0186 0.0188 0.0192 0.0198 0.0197 0.0194 0.0192 0.0191 0.0192 0.0194 0.0194 0.0186 0.0188 0.0195 0.0194 0.0197 0.0198 0.0195 0.0192 0.0191 0.0191 0.0188 0.0185 0.0175 0.0168 0.0163 0.0158 0.0152 0.0148 0.0141 0.0134 0.0126 0.0120 0.0117 0.0114 0.0112 0.0109 0.0108 0.0105 0.0109 0.0106 0.0101 0.0100 0.0098 0.0095 0.0092 0.0089 0.0086 0.0086 0.0083 0.0083 0.0082 0.0082 0.0082 0.0077 0.0077 0.0075 0.0074 0.0074 0.0074 0.0075 0.0075 0.0075 0.0074 0.0072 0.0069 0.0069 0.0069 0.0066 0.0063 0.0062 0.0055 0.0057 0.0055 0.0048 0.0043 0.0040 0.0040 0.0043 0.0043 0.0046 0.0080 0.0095 0.0098 0.0100 0.0101 0.0105 0.0106 0.0109 0.0109 0.0114 0.0118 0.0123 0.0131 0.0141 0.0143 0.0148 0.0155 0.0155 0.0158 0.0158 0.0157 0.0160 0.0160 0.0161 0.0160 0.0161 0.0158 0.0157 0.0152 0.0065 0.0071 0.0072 0.0072 0.0071 0.0075 0.0072 0.0071 0.0069 0.0069 0.0071 0.0071 0.0069 0.0068 0.0069 0.0069 0.0069 0.0069 0.0074 0.0077 0.0074 0.0075 0.0072 0.0071 0.0074 0.0074 0.0075 0.0078 0.0075 0.0074 0.0077 0.0078 0.0080 0.0078 0.0078 0.0077 0.0077 0.0074 0.0077 0.0077 0.0074 0.0077 0.0075 0.0075 0.0075 0.0077 0.0075 0.0075 0.0072 0.0069 0.0069 0.0069 0.0071 0.0071 0.0071 0.0072 0.0071 0.0068 0.0068 0.0071 0.0074 0.0072 0.0074 0.0074 0.0072 0.0072 0.0074 0.0074 0.0074 0.0074 0.0074 0.0077 0.0077 0.0078 0.0075 0.0072 0.0072 0.0072 0.0074 0.0074 0.0075 0.0074 0.0077 0.0077 0.0074 0.0075 0.0071 0.0069 0.0068 0.0068 0.0069 0.0069 0.0069 0.0072 0.0074 0.0075 0.0075 0.0074 0.0068 0.0069 0.0069 0.0069 0.0071 0.0071 0.0069 0.0072 0.0077 0.0074 0.0074 0.0075 0.0074 0.0072 0.0074 0.0075 0.0077 0.0075 0.0078 0.0078 0.0077 0.0078 0.0077 0.0077 0.0074 0.0075 0.0077 0.0080 0.0078 0.0074 0.0075 0.0077 0.0075 0.0077 0.0078 0.0078 0.0077 0.0075 0.0075 0.0074 0.0075 0.0077 0.0078 0.0075 0.0074 0.0077 0.0077 0.0074 0.0074 0.0077 0.0078 0.0075 0.0075 0.0074 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0074 0.0074 0.0074 0.0075 0.0072 0.0072 0.0074 0.0075 0.0074 0.0072 0.0074 0.0075 0.0074 0.0074 0.0072 0.0072 0.0072 0.0074 0.0075 0.0074 0.0074 0.0071 0.0072 0.0075 0.0075 0.0077 0.0075 0.0069 0.0071 0.0069 0.0071 0.0074 0.0074 0.0072 0.0072 0.0074 0.0077 0.0074 0.0069 0.0069 0.0069 0.0069 0.0071 0.0071 0.0074 0.0071 0.0071 0.0072 0.0072 0.0075 0.0072 0.0071 0.0071 0.0072 0.0068 0.0071 0.0071 0.0074 0.0072 0.0072 0.0069 0.0068 0.0074 0.0097 0.0132 0.0155 0.0168 0.0172 0.0177 0.0181 0.0186 0.0188 0.0189 0.0191 0.0191 0.0192 0.0192 0.0194 0.0194 0.0197 0.0195 0.0195 0.0197 0.0197 0.0197 0.0197 0.0197 0.0195 0.0195 0.0194 0.0194 0.0191 0.0189 0.0189 0.0186 0.0185 0.0185 0.0181 0.0180 0.0178 0.0174 0.0174 0.0172 0.0169 0.0169 0.0169 0.0166 0.0165 0.0177 0.0166 0.0160 0.0166 0.0175 0.0186 0.0191 0.0189 0.0189 0.0194 0.0198 0.0197 0.0197 0.0195 0.0192 0.0191 0.0194 0.0194 0.0188 0.0186 0.0194 0.0197 0.0197 0.0198 0.0197 0.0195 0.0194 0.0194 0.0191 0.0189 0.0181 0.0175 0.0169 0.0163 0.0155 0.0149 0.0146 0.0143 0.0135 0.0125 0.0118 0.0115 0.0114 0.0109 0.0109 0.0106 0.0106 0.0114 0.0103 0.0100 0.0098 0.0100 0.0095 0.0092 0.0092 0.0088 0.0086 0.0086 0.0085 0.0083 0.0080 0.0080 0.0078 0.0078 0.0075 0.0074 0.0075 0.0072 0.0077 0.0075 0.0077 0.0077 0.0074 0.0072 0.0069 0.0069 0.0066 0.0066 0.0066 0.0060 0.0055 0.0052 0.0049 0.0043 0.0038 0.0042 0.0043 0.0042 0.0042 0.0077 0.0094 0.0094 0.0095 0.0100 0.0100 0.0105 0.0103 0.0111 0.0112 0.0115 0.0121 0.0126 0.0137 0.0141 0.0146 0.0151 0.0154 0.0157 0.0155 0.0157 0.0155 0.0163 0.0166 0.0158 0.0155 0.0154 0.0154 0.0149 0.0066 0.0068 0.0071 0.0071 0.0072 0.0075 0.0074 0.0072 0.0072 0.0069 0.0072 0.0071 0.0069 0.0071 0.0069 0.0071 0.0071 0.0071 0.0072 0.0077 0.0077 0.0075 0.0071 0.0071 0.0075 0.0077 0.0077 0.0077 0.0077 0.0078 0.0078 0.0077 0.0077 0.0078 0.0075 0.0075 0.0077 0.0075 0.0075 0.0075 0.0072 0.0075 0.0077 0.0077 0.0074 0.0075 0.0074 0.0072 0.0072 0.0072 0.0071 0.0072 0.0069 0.0071 0.0069 0.0072 0.0072 0.0069 0.0071 0.0071 0.0074 0.0072 0.0074 0.0077 0.0075 0.0074 0.0072 0.0077 0.0074 0.0074 0.0074 0.0078 0.0077 0.0077 0.0075 0.0074 0.0075 0.0072 0.0072 0.0077 0.0075 0.0077 0.0077 0.0078 0.0075 0.0072 0.0071 0.0072 0.0072 0.0072 0.0066 0.0069 0.0071 0.0075 0.0075 0.0077 0.0077 0.0074 0.0069 0.0069 0.0066 0.0071 0.0072 0.0071 0.0069 0.0071 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0074 0.0080 0.0078 0.0074 0.0075 0.0078 0.0075 0.0077 0.0074 0.0075 0.0077 0.0077 0.0078 0.0080 0.0077 0.0074 0.0075 0.0075 0.0074 0.0075 0.0077 0.0078 0.0078 0.0078 0.0075 0.0075 0.0075 0.0075 0.0078 0.0078 0.0078 0.0075 0.0072 0.0074 0.0075 0.0077 0.0075 0.0072 0.0074 0.0075 0.0074 0.0075 0.0072 0.0074 0.0074 0.0075 0.0075 0.0075 0.0075 0.0074 0.0072 0.0074 0.0078 0.0077 0.0074 0.0074 0.0074 0.0075 0.0075 0.0072 0.0074 0.0075 0.0074 0.0074 0.0074 0.0074 0.0074 0.0074 0.0075 0.0075 0.0077 0.0075 0.0074 0.0072 0.0072 0.0072 0.0071 0.0072 0.0072 0.0069 0.0071 0.0071 0.0071 0.0071 0.0069 0.0068 0.0071 0.0071 0.0071 0.0074 0.0072 0.0071 0.0072 0.0072 0.0074 0.0074 0.0071 0.0071 0.0074 0.0075 0.0071 0.0069 0.0069 0.0072 0.0071 0.0072 0.0080 0.0103 0.0134 0.0160 0.0172 0.0180 0.0183 0.0188 0.0189 0.0191 0.0194 0.0194 0.0195 0.0194 0.0194 0.0194 0.0197 0.0198 0.0198 0.0198 0.0197 0.0198 0.0200 0.0200 0.0201 0.0201 0.0201 0.0200 0.0198 0.0195 0.0195 0.0192 0.0191 0.0189 0.0186 0.0183 0.0183 0.0181 0.0178 0.0175 0.0172 0.0155 0.0151 0.0166 0.0168 0.0168 0.0165 0.0177 0.0172 0.0161 0.0160 0.0165 0.0180 0.0194 0.0192 0.0192 0.0194 0.0197 0.0198 0.0197 0.0194 0.0195 0.0194 0.0195 0.0195 0.0188 0.0188 0.0192 0.0197 0.0194 0.0197 0.0194 0.0195 0.0194 0.0192 0.0191 0.0188 0.0183 0.0178 0.0172 0.0165 0.0161 0.0154 0.0148 0.0143 0.0140 0.0132 0.0126 0.0120 0.0117 0.0112 0.0109 0.0108 0.0108 0.0106 0.0123 0.0111 0.0103 0.0103 0.0100 0.0097 0.0095 0.0092 0.0091 0.0088 0.0086 0.0086 0.0085 0.0083 0.0082 0.0078 0.0080 0.0078 0.0077 0.0077 0.0075 0.0077 0.0077 0.0077 0.0077 0.0075 0.0072 0.0072 0.0069 0.0066 0.0066 0.0066 0.0062 0.0057 0.0052 0.0049 0.0045 0.0042 0.0042 0.0042 0.0037 0.0038 0.0072 0.0091 0.0091 0.0095 0.0097 0.0098 0.0100 0.0105 0.0114 0.0111 0.0117 0.0121 0.0125 0.0135 0.0140 0.0148 0.0151 0.0154 0.0152 0.0152 0.0157 0.0158 0.0160 0.0160 0.0160 0.0158 0.0157 0.0152 0.0149 0.0066 0.0066 0.0068 0.0068 0.0072 0.0075 0.0077 0.0074 0.0071 0.0071 0.0072 0.0072 0.0075 0.0072 0.0071 0.0074 0.0072 0.0075 0.0075 0.0074 0.0075 0.0074 0.0069 0.0071 0.0075 0.0080 0.0080 0.0078 0.0075 0.0077 0.0078 0.0078 0.0075 0.0077 0.0077 0.0074 0.0074 0.0077 0.0074 0.0074 0.0075 0.0074 0.0075 0.0075 0.0075 0.0074 0.0072 0.0075 0.0075 0.0072 0.0074 0.0072 0.0071 0.0071 0.0071 0.0072 0.0069 0.0066 0.0069 0.0071 0.0074 0.0071 0.0072 0.0075 0.0074 0.0072 0.0072 0.0072 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0078 0.0075 0.0075 0.0074 0.0075 0.0077 0.0078 0.0075 0.0075 0.0072 0.0072 0.0072 0.0072 0.0071 0.0072 0.0071 0.0071 0.0074 0.0077 0.0072 0.0075 0.0072 0.0068 0.0069 0.0071 0.0069 0.0068 0.0069 0.0069 0.0071 0.0075 0.0074 0.0074 0.0074 0.0072 0.0075 0.0077 0.0074 0.0077 0.0078 0.0077 0.0075 0.0077 0.0072 0.0074 0.0074 0.0074 0.0075 0.0077 0.0077 0.0075 0.0077 0.0074 0.0075 0.0075 0.0077 0.0075 0.0075 0.0075 0.0077 0.0075 0.0077 0.0075 0.0077 0.0075 0.0077 0.0077 0.0075 0.0075 0.0074 0.0072 0.0074 0.0077 0.0074 0.0072 0.0074 0.0075 0.0072 0.0074 0.0075 0.0075 0.0074 0.0072 0.0071 0.0074 0.0075 0.0071 0.0072 0.0075 0.0075 0.0074 0.0071 0.0074 0.0075 0.0075 0.0075 0.0075 0.0077 0.0075 0.0074 0.0074 0.0074 0.0075 0.0075 0.0074 0.0074 0.0074 0.0074 0.0072 0.0074 0.0074 0.0072 0.0069 0.0071 0.0071 0.0069 0.0071 0.0069 0.0069 0.0071 0.0071 0.0072 0.0068 0.0071 0.0072 0.0071 0.0074 0.0072 0.0072 0.0077 0.0075 0.0077 0.0074 0.0071 0.0072 0.0075 0.0072 0.0074 0.0074 0.0072 0.0072 0.0078 0.0106 0.0140 0.0163 0.0174 0.0181 0.0186 0.0189 0.0191 0.0194 0.0195 0.0194 0.0195 0.0195 0.0195 0.0195 0.0197 0.0198 0.0200 0.0200 0.0200 0.0200 0.0201 0.0201 0.0200 0.0203 0.0205 0.0205 0.0205 0.0203 0.0200 0.0197 0.0197 0.0194 0.0191 0.0189 0.0186 0.0186 0.0181 0.0181 0.0180 0.0177 0.0174 0.0132 0.0154 0.0171 0.0166 0.0166 0.0172 0.0177 0.0163 0.0165 0.0160 0.0174 0.0189 0.0198 0.0194 0.0195 0.0197 0.0200 0.0198 0.0197 0.0198 0.0197 0.0192 0.0194 0.0192 0.0186 0.0195 0.0197 0.0198 0.0192 0.0191 0.0189 0.0191 0.0191 0.0189 0.0186 0.0181 0.0178 0.0175 0.0168 0.0163 0.0160 0.0155 0.0154 0.0146 0.0135 0.0131 0.0128 0.0123 0.0118 0.0114 0.0112 0.0111 0.0109 0.0106 0.0112 0.0114 0.0106 0.0105 0.0101 0.0098 0.0097 0.0094 0.0091 0.0088 0.0089 0.0086 0.0083 0.0085 0.0080 0.0082 0.0080 0.0078 0.0080 0.0077 0.0077 0.0075 0.0077 0.0077 0.0075 0.0077 0.0075 0.0071 0.0069 0.0069 0.0066 0.0065 0.0062 0.0060 0.0057 0.0052 0.0048 0.0043 0.0042 0.0038 0.0035 0.0040 0.0071 0.0089 0.0092 0.0089 0.0094 0.0100 0.0103 0.0103 0.0108 0.0109 0.0114 0.0118 0.0128 0.0137 0.0138 0.0149 0.0148 0.0154 0.0155 0.0157 0.0158 0.0158 0.0160 0.0157 0.0158 0.0158 0.0157 0.0152 0.0152 0.0068 0.0071 0.0069 0.0072 0.0072 0.0075 0.0077 0.0071 0.0072 0.0072 0.0072 0.0072 0.0075 0.0071 0.0071 0.0074 0.0075 0.0077 0.0075 0.0071 0.0074 0.0075 0.0072 0.0072 0.0075 0.0082 0.0082 0.0080 0.0075 0.0075 0.0077 0.0077 0.0075 0.0074 0.0074 0.0075 0.0075 0.0075 0.0072 0.0071 0.0074 0.0072 0.0075 0.0074 0.0078 0.0074 0.0072 0.0078 0.0077 0.0071 0.0074 0.0072 0.0071 0.0069 0.0071 0.0071 0.0071 0.0071 0.0071 0.0071 0.0074 0.0072 0.0077 0.0077 0.0075 0.0072 0.0072 0.0074 0.0075 0.0075 0.0078 0.0075 0.0074 0.0077 0.0074 0.0075 0.0071 0.0074 0.0077 0.0075 0.0075 0.0075 0.0074 0.0075 0.0071 0.0071 0.0074 0.0072 0.0071 0.0072 0.0074 0.0075 0.0074 0.0075 0.0074 0.0072 0.0069 0.0069 0.0072 0.0072 0.0069 0.0069 0.0068 0.0069 0.0072 0.0075 0.0075 0.0072 0.0072 0.0074 0.0075 0.0072 0.0072 0.0074 0.0075 0.0078 0.0075 0.0074 0.0072 0.0075 0.0075 0.0074 0.0075 0.0078 0.0078 0.0075 0.0077 0.0075 0.0075 0.0075 0.0078 0.0077 0.0077 0.0078 0.0077 0.0077 0.0077 0.0072 0.0075 0.0074 0.0075 0.0078 0.0075 0.0077 0.0075 0.0071 0.0074 0.0078 0.0074 0.0075 0.0075 0.0072 0.0072 0.0074 0.0074 0.0072 0.0074 0.0072 0.0072 0.0074 0.0074 0.0075 0.0074 0.0075 0.0075 0.0072 0.0075 0.0077 0.0075 0.0075 0.0075 0.0075 0.0075 0.0074 0.0072 0.0074 0.0074 0.0075 0.0072 0.0071 0.0071 0.0071 0.0072 0.0072 0.0072 0.0075 0.0071 0.0068 0.0072 0.0071 0.0069 0.0071 0.0069 0.0071 0.0074 0.0077 0.0074 0.0072 0.0072 0.0075 0.0075 0.0075 0.0075 0.0075 0.0077 0.0075 0.0077 0.0075 0.0075 0.0077 0.0077 0.0075 0.0072 0.0075 0.0080 0.0103 0.0140 0.0168 0.0177 0.0183 0.0189 0.0192 0.0195 0.0195 0.0197 0.0197 0.0198 0.0197 0.0198 0.0198 0.0198 0.0203 0.0203 0.0200 0.0201 0.0203 0.0203 0.0203 0.0205 0.0205 0.0205 0.0205 0.0205 0.0206 0.0206 0.0201 0.0203 0.0201 0.0195 0.0194 0.0192 0.0189 0.0186 0.0186 0.0183 0.0181 0.0180 0.0180 0.0177 0.0161 0.0169 0.0171 0.0169 0.0168 0.0180 0.0172 0.0165 0.0169 0.0172 0.0185 0.0195 0.0200 0.0198 0.0198 0.0200 0.0198 0.0198 0.0198 0.0198 0.0198 0.0195 0.0194 0.0192 0.0195 0.0201 0.0198 0.0198 0.0192 0.0191 0.0188 0.0188 0.0185 0.0185 0.0181 0.0174 0.0172 0.0169 0.0168 0.0163 0.0158 0.0157 0.0154 0.0148 0.0143 0.0134 0.0128 0.0125 0.0118 0.0120 0.0115 0.0114 0.0111 0.0111 0.0109 0.0115 0.0109 0.0106 0.0106 0.0103 0.0100 0.0097 0.0094 0.0091 0.0089 0.0086 0.0088 0.0088 0.0085 0.0082 0.0080 0.0082 0.0078 0.0078 0.0080 0.0075 0.0078 0.0077 0.0077 0.0078 0.0074 0.0074 0.0069 0.0068 0.0069 0.0066 0.0062 0.0060 0.0058 0.0054 0.0051 0.0046 0.0043 0.0038 0.0034 0.0040 0.0074 0.0089 0.0091 0.0088 0.0092 0.0098 0.0101 0.0101 0.0105 0.0105 0.0114 0.0118 0.0128 0.0134 0.0137 0.0145 0.0148 0.0157 0.0157 0.0155 0.0154 0.0158 0.0161 0.0158 0.0155 0.0158 0.0152 0.0151 0.0148 0.0068 0.0071 0.0071 0.0072 0.0072 0.0075 0.0072 0.0075 0.0074 0.0071 0.0072 0.0072 0.0074 0.0071 0.0072 0.0075 0.0077 0.0075 0.0072 0.0069 0.0072 0.0072 0.0074 0.0075 0.0080 0.0082 0.0080 0.0078 0.0074 0.0077 0.0077 0.0074 0.0075 0.0075 0.0072 0.0075 0.0074 0.0071 0.0072 0.0072 0.0071 0.0072 0.0074 0.0074 0.0075 0.0075 0.0074 0.0078 0.0077 0.0074 0.0075 0.0074 0.0071 0.0071 0.0072 0.0072 0.0071 0.0072 0.0075 0.0074 0.0074 0.0074 0.0074 0.0077 0.0077 0.0075 0.0074 0.0075 0.0078 0.0077 0.0077 0.0077 0.0075 0.0075 0.0074 0.0071 0.0071 0.0072 0.0075 0.0074 0.0075 0.0077 0.0074 0.0075 0.0074 0.0071 0.0074 0.0072 0.0071 0.0074 0.0075 0.0074 0.0074 0.0074 0.0074 0.0072 0.0071 0.0071 0.0074 0.0075 0.0072 0.0071 0.0069 0.0071 0.0072 0.0075 0.0074 0.0075 0.0072 0.0074 0.0074 0.0072 0.0077 0.0078 0.0074 0.0075 0.0077 0.0072 0.0072 0.0074 0.0074 0.0072 0.0075 0.0080 0.0078 0.0077 0.0078 0.0077 0.0080 0.0077 0.0074 0.0075 0.0077 0.0078 0.0077 0.0078 0.0077 0.0075 0.0075 0.0077 0.0077 0.0078 0.0075 0.0074 0.0072 0.0074 0.0075 0.0075 0.0074 0.0075 0.0075 0.0074 0.0072 0.0074 0.0072 0.0074 0.0075 0.0072 0.0075 0.0077 0.0074 0.0072 0.0075 0.0072 0.0074 0.0075 0.0077 0.0075 0.0072 0.0072 0.0074 0.0075 0.0074 0.0074 0.0071 0.0074 0.0072 0.0072 0.0071 0.0069 0.0071 0.0074 0.0074 0.0072 0.0072 0.0072 0.0072 0.0072 0.0075 0.0074 0.0071 0.0069 0.0071 0.0071 0.0075 0.0078 0.0075 0.0074 0.0077 0.0077 0.0078 0.0080 0.0078 0.0078 0.0078 0.0075 0.0077 0.0077 0.0078 0.0078 0.0080 0.0078 0.0082 0.0103 0.0137 0.0166 0.0178 0.0185 0.0191 0.0195 0.0198 0.0200 0.0200 0.0200 0.0200 0.0198 0.0200 0.0200 0.0200 0.0203 0.0203 0.0205 0.0205 0.0205 0.0206 0.0206 0.0206 0.0206 0.0208 0.0206 0.0208 0.0208 0.0209 0.0208 0.0206 0.0205 0.0203 0.0201 0.0197 0.0194 0.0192 0.0191 0.0189 0.0186 0.0185 0.0183 0.0180 0.0178 0.0178 0.0174 0.0168 0.0169 0.0166 0.0175 0.0181 0.0168 0.0171 0.0177 0.0188 0.0192 0.0198 0.0201 0.0198 0.0195 0.0195 0.0197 0.0198 0.0200 0.0200 0.0200 0.0201 0.0194 0.0195 0.0205 0.0205 0.0201 0.0195 0.0194 0.0191 0.0188 0.0185 0.0181 0.0180 0.0174 0.0171 0.0169 0.0169 0.0163 0.0161 0.0158 0.0154 0.0152 0.0152 0.0148 0.0141 0.0134 0.0129 0.0125 0.0121 0.0120 0.0118 0.0115 0.0114 0.0111 0.0115 0.0111 0.0109 0.0106 0.0105 0.0101 0.0095 0.0094 0.0092 0.0089 0.0088 0.0088 0.0086 0.0085 0.0083 0.0082 0.0083 0.0080 0.0082 0.0078 0.0077 0.0078 0.0077 0.0077 0.0077 0.0075 0.0075 0.0072 0.0069 0.0068 0.0066 0.0063 0.0062 0.0058 0.0057 0.0051 0.0046 0.0042 0.0042 0.0034 0.0037 0.0075 0.0089 0.0088 0.0092 0.0092 0.0095 0.0097 0.0098 0.0101 0.0105 0.0109 0.0120 0.0126 0.0128 0.0134 0.0146 0.0151 0.0155 0.0155 0.0155 0.0155 0.0158 0.0155 0.0157 0.0155 0.0158 0.0155 0.0152 0.0143 0.0072 0.0074 0.0074 0.0074 0.0074 0.0071 0.0069 0.0074 0.0072 0.0074 0.0072 0.0074 0.0074 0.0072 0.0074 0.0075 0.0077 0.0077 0.0072 0.0071 0.0072 0.0071 0.0072 0.0075 0.0080 0.0083 0.0082 0.0075 0.0074 0.0075 0.0074 0.0072 0.0072 0.0072 0.0074 0.0074 0.0072 0.0071 0.0071 0.0072 0.0069 0.0071 0.0075 0.0071 0.0072 0.0074 0.0074 0.0075 0.0074 0.0075 0.0075 0.0072 0.0075 0.0074 0.0072 0.0075 0.0072 0.0072 0.0075 0.0075 0.0074 0.0077 0.0075 0.0075 0.0075 0.0074 0.0075 0.0077 0.0078 0.0077 0.0075 0.0078 0.0078 0.0075 0.0072 0.0071 0.0072 0.0075 0.0075 0.0075 0.0077 0.0075 0.0074 0.0072 0.0072 0.0074 0.0075 0.0074 0.0072 0.0075 0.0074 0.0074 0.0077 0.0074 0.0074 0.0071 0.0069 0.0068 0.0068 0.0071 0.0068 0.0071 0.0069 0.0072 0.0075 0.0075 0.0075 0.0075 0.0075 0.0075 0.0074 0.0072 0.0077 0.0077 0.0075 0.0075 0.0074 0.0072 0.0074 0.0077 0.0075 0.0074 0.0075 0.0078 0.0077 0.0077 0.0077 0.0075 0.0075 0.0075 0.0075 0.0074 0.0077 0.0077 0.0077 0.0078 0.0075 0.0077 0.0078 0.0077 0.0077 0.0077 0.0075 0.0074 0.0075 0.0075 0.0077 0.0078 0.0075 0.0075 0.0077 0.0074 0.0072 0.0077 0.0075 0.0072 0.0072 0.0075 0.0075 0.0074 0.0071 0.0074 0.0074 0.0071 0.0071 0.0071 0.0072 0.0072 0.0069 0.0069 0.0071 0.0071 0.0072 0.0072 0.0074 0.0074 0.0074 0.0075 0.0075 0.0074 0.0075 0.0077 0.0074 0.0072 0.0078 0.0075 0.0075 0.0075 0.0072 0.0074 0.0074 0.0069 0.0071 0.0075 0.0075 0.0077 0.0080 0.0080 0.0080 0.0082 0.0078 0.0085 0.0082 0.0078 0.0080 0.0078 0.0078 0.0080 0.0080 0.0078 0.0082 0.0100 0.0131 0.0163 0.0178 0.0186 0.0192 0.0195 0.0200 0.0201 0.0201 0.0201 0.0201 0.0200 0.0203 0.0201 0.0203 0.0205 0.0206 0.0206 0.0205 0.0208 0.0208 0.0208 0.0208 0.0206 0.0208 0.0208 0.0211 0.0212 0.0214 0.0212 0.0211 0.0209 0.0208 0.0205 0.0200 0.0200 0.0197 0.0192 0.0192 0.0191 0.0189 0.0188 0.0186 0.0183 0.0181 0.0180 0.0177 0.0174 0.0171 0.0168 0.0166 0.0185 0.0177 0.0168 0.0180 0.0185 0.0189 0.0195 0.0198 0.0201 0.0195 0.0194 0.0197 0.0198 0.0197 0.0201 0.0201 0.0201 0.0201 0.0195 0.0201 0.0206 0.0205 0.0201 0.0197 0.0192 0.0186 0.0181 0.0180 0.0178 0.0175 0.0174 0.0172 0.0171 0.0169 0.0165 0.0163 0.0160 0.0158 0.0155 0.0152 0.0151 0.0148 0.0141 0.0135 0.0129 0.0126 0.0123 0.0123 0.0118 0.0117 0.0114 0.0115 0.0112 0.0109 0.0106 0.0108 0.0103 0.0097 0.0095 0.0094 0.0091 0.0089 0.0086 0.0085 0.0085 0.0083 0.0082 0.0083 0.0082 0.0080 0.0080 0.0078 0.0080 0.0080 0.0077 0.0077 0.0077 0.0075 0.0074 0.0072 0.0069 0.0066 0.0065 0.0063 0.0060 0.0057 0.0051 0.0048 0.0045 0.0042 0.0035 0.0035 0.0068 0.0091 0.0092 0.0094 0.0089 0.0095 0.0100 0.0105 0.0105 0.0106 0.0109 0.0115 0.0125 0.0131 0.0140 0.0141 0.0148 0.0152 0.0154 0.0154 0.0157 0.0155 0.0155 0.0160 0.0160 0.0160 0.0155 0.0149 0.0148 0.0072 0.0077 0.0075 0.0074 0.0072 0.0069 0.0069 0.0072 0.0069 0.0074 0.0072 0.0077 0.0075 0.0074 0.0075 0.0077 0.0077 0.0075 0.0071 0.0072 0.0071 0.0072 0.0074 0.0075 0.0078 0.0077 0.0075 0.0071 0.0074 0.0074 0.0072 0.0072 0.0069 0.0071 0.0069 0.0072 0.0074 0.0072 0.0069 0.0072 0.0071 0.0071 0.0074 0.0072 0.0072 0.0074 0.0074 0.0074 0.0072 0.0075 0.0075 0.0074 0.0074 0.0074 0.0074 0.0075 0.0075 0.0072 0.0074 0.0077 0.0072 0.0075 0.0077 0.0072 0.0074 0.0074 0.0075 0.0077 0.0074 0.0075 0.0074 0.0077 0.0078 0.0074 0.0075 0.0074 0.0074 0.0074 0.0075 0.0074 0.0075 0.0072 0.0074 0.0077 0.0072 0.0074 0.0077 0.0074 0.0074 0.0077 0.0075 0.0075 0.0074 0.0071 0.0072 0.0072 0.0069 0.0069 0.0066 0.0068 0.0068 0.0068 0.0068 0.0074 0.0077 0.0074 0.0077 0.0077 0.0074 0.0077 0.0074 0.0077 0.0075 0.0077 0.0077 0.0075 0.0069 0.0071 0.0077 0.0078 0.0077 0.0074 0.0075 0.0078 0.0077 0.0074 0.0074 0.0075 0.0074 0.0075 0.0078 0.0074 0.0075 0.0074 0.0075 0.0077 0.0075 0.0078 0.0075 0.0074 0.0078 0.0077 0.0074 0.0074 0.0072 0.0072 0.0074 0.0077 0.0077 0.0077 0.0075 0.0077 0.0077 0.0074 0.0074 0.0072 0.0072 0.0072 0.0071 0.0071 0.0075 0.0077 0.0072 0.0072 0.0072 0.0075 0.0075 0.0074 0.0075 0.0074 0.0074 0.0071 0.0074 0.0074 0.0072 0.0075 0.0074 0.0074 0.0075 0.0077 0.0077 0.0077 0.0072 0.0072 0.0077 0.0074 0.0077 0.0077 0.0074 0.0075 0.0072 0.0074 0.0078 0.0078 0.0078 0.0082 0.0083 0.0083 0.0082 0.0082 0.0075 0.0078 0.0078 0.0077 0.0077 0.0078 0.0078 0.0075 0.0075 0.0097 0.0129 0.0158 0.0175 0.0183 0.0191 0.0197 0.0201 0.0203 0.0203 0.0203 0.0205 0.0205 0.0206 0.0206 0.0206 0.0208 0.0209 0.0206 0.0208 0.0208 0.0208 0.0211 0.0211 0.0212 0.0211 0.0211 0.0212 0.0215 0.0220 0.0221 0.0218 0.0217 0.0212 0.0209 0.0206 0.0205 0.0200 0.0198 0.0197 0.0194 0.0194 0.0192 0.0191 0.0186 0.0186 0.0185 0.0181 0.0178 0.0178 0.0174 0.0174 0.0168 0.0171 0.0183 0.0169 0.0174 0.0186 0.0186 0.0191 0.0197 0.0198 0.0197 0.0194 0.0194 0.0194 0.0198 0.0197 0.0200 0.0203 0.0205 0.0200 0.0200 0.0206 0.0209 0.0208 0.0201 0.0194 0.0189 0.0185 0.0181 0.0181 0.0178 0.0174 0.0174 0.0171 0.0172 0.0169 0.0165 0.0165 0.0161 0.0160 0.0157 0.0155 0.0152 0.0149 0.0143 0.0138 0.0131 0.0126 0.0121 0.0121 0.0118 0.0120 0.0115 0.0114 0.0112 0.0109 0.0109 0.0105 0.0098 0.0098 0.0095 0.0092 0.0091 0.0088 0.0086 0.0083 0.0083 0.0083 0.0083 0.0082 0.0080 0.0078 0.0080 0.0080 0.0078 0.0080 0.0080 0.0078 0.0078 0.0075 0.0074 0.0074 0.0072 0.0068 0.0065 0.0063 0.0058 0.0055 0.0054 0.0051 0.0046 0.0038 0.0037 0.0037 0.0069 0.0088 0.0091 0.0094 0.0097 0.0098 0.0100 0.0106 0.0103 0.0103 0.0112 0.0117 0.0123 0.0125 0.0135 0.0140 0.0146 0.0152 0.0155 0.0154 0.0157 0.0155 0.0155 0.0160 0.0160 0.0161 0.0158 0.0151 0.0146 0.0071 0.0075 0.0074 0.0074 0.0072 0.0069 0.0069 0.0068 0.0069 0.0071 0.0071 0.0074 0.0077 0.0077 0.0075 0.0075 0.0077 0.0077 0.0072 0.0071 0.0068 0.0071 0.0072 0.0074 0.0077 0.0072 0.0074 0.0071 0.0069 0.0071 0.0074 0.0072 0.0069 0.0072 0.0069 0.0071 0.0072 0.0074 0.0071 0.0072 0.0069 0.0072 0.0072 0.0071 0.0072 0.0075 0.0077 0.0075 0.0075 0.0075 0.0075 0.0077 0.0074 0.0074 0.0075 0.0072 0.0075 0.0077 0.0075 0.0077 0.0077 0.0077 0.0077 0.0074 0.0074 0.0074 0.0074 0.0075 0.0074 0.0075 0.0077 0.0075 0.0075 0.0074 0.0075 0.0075 0.0074 0.0074 0.0074 0.0075 0.0072 0.0071 0.0074 0.0078 0.0074 0.0071 0.0075 0.0075 0.0077 0.0077 0.0077 0.0074 0.0071 0.0069 0.0071 0.0069 0.0068 0.0068 0.0066 0.0069 0.0069 0.0071 0.0069 0.0074 0.0077 0.0072 0.0071 0.0074 0.0078 0.0082 0.0077 0.0077 0.0080 0.0077 0.0075 0.0072 0.0068 0.0069 0.0072 0.0077 0.0075 0.0074 0.0075 0.0077 0.0072 0.0074 0.0077 0.0077 0.0075 0.0077 0.0077 0.0075 0.0074 0.0075 0.0075 0.0074 0.0072 0.0077 0.0078 0.0075 0.0075 0.0077 0.0077 0.0075 0.0074 0.0072 0.0074 0.0074 0.0075 0.0077 0.0077 0.0078 0.0077 0.0074 0.0072 0.0072 0.0071 0.0072 0.0074 0.0075 0.0077 0.0078 0.0072 0.0071 0.0072 0.0074 0.0075 0.0072 0.0072 0.0074 0.0077 0.0075 0.0075 0.0071 0.0074 0.0075 0.0072 0.0075 0.0077 0.0080 0.0080 0.0075 0.0072 0.0075 0.0080 0.0082 0.0080 0.0080 0.0077 0.0078 0.0077 0.0080 0.0082 0.0083 0.0080 0.0082 0.0082 0.0078 0.0080 0.0078 0.0075 0.0074 0.0075 0.0075 0.0071 0.0069 0.0069 0.0083 0.0120 0.0154 0.0174 0.0185 0.0189 0.0195 0.0200 0.0205 0.0205 0.0205 0.0205 0.0206 0.0206 0.0208 0.0211 0.0211 0.0211 0.0211 0.0211 0.0211 0.0211 0.0211 0.0212 0.0214 0.0214 0.0214 0.0215 0.0218 0.0223 0.0226 0.0229 0.0225 0.0220 0.0215 0.0214 0.0211 0.0208 0.0205 0.0201 0.0198 0.0198 0.0197 0.0195 0.0192 0.0191 0.0188 0.0185 0.0183 0.0183 0.0178 0.0175 0.0175 0.0174 0.0169 0.0178 0.0178 0.0171 0.0183 0.0188 0.0194 0.0194 0.0197 0.0203 0.0197 0.0195 0.0198 0.0198 0.0201 0.0201 0.0201 0.0205 0.0205 0.0198 0.0208 0.0211 0.0209 0.0206 0.0203 0.0194 0.0189 0.0189 0.0185 0.0185 0.0181 0.0180 0.0177 0.0175 0.0172 0.0171 0.0166 0.0165 0.0163 0.0160 0.0161 0.0158 0.0154 0.0148 0.0141 0.0137 0.0132 0.0128 0.0121 0.0121 0.0118 0.0118 0.0115 0.0114 0.0112 0.0109 0.0105 0.0103 0.0098 0.0097 0.0095 0.0092 0.0089 0.0088 0.0088 0.0086 0.0083 0.0083 0.0085 0.0082 0.0080 0.0082 0.0082 0.0078 0.0080 0.0078 0.0078 0.0077 0.0078 0.0077 0.0075 0.0072 0.0074 0.0068 0.0065 0.0063 0.0058 0.0055 0.0055 0.0051 0.0048 0.0043 0.0035 0.0038 0.0072 0.0089 0.0094 0.0097 0.0097 0.0098 0.0103 0.0108 0.0106 0.0108 0.0112 0.0117 0.0120 0.0128 0.0135 0.0140 0.0148 0.0154 0.0154 0.0152 0.0157 0.0157 0.0161 0.0160 0.0160 0.0165 0.0157 0.0149 0.0148 0.0072 0.0075 0.0075 0.0077 0.0074 0.0072 0.0072 0.0071 0.0071 0.0069 0.0072 0.0074 0.0077 0.0077 0.0075 0.0075 0.0077 0.0078 0.0077 0.0072 0.0071 0.0069 0.0069 0.0071 0.0075 0.0074 0.0072 0.0071 0.0072 0.0072 0.0071 0.0069 0.0071 0.0071 0.0071 0.0069 0.0069 0.0075 0.0074 0.0074 0.0074 0.0074 0.0072 0.0071 0.0071 0.0072 0.0077 0.0074 0.0075 0.0074 0.0072 0.0075 0.0077 0.0075 0.0075 0.0072 0.0074 0.0077 0.0075 0.0077 0.0075 0.0075 0.0075 0.0077 0.0075 0.0075 0.0074 0.0075 0.0077 0.0077 0.0078 0.0075 0.0075 0.0078 0.0078 0.0075 0.0072 0.0074 0.0074 0.0074 0.0072 0.0075 0.0075 0.0075 0.0075 0.0074 0.0075 0.0074 0.0075 0.0077 0.0075 0.0074 0.0072 0.0069 0.0069 0.0072 0.0071 0.0069 0.0071 0.0071 0.0072 0.0071 0.0072 0.0074 0.0072 0.0072 0.0072 0.0074 0.0078 0.0078 0.0080 0.0078 0.0078 0.0075 0.0074 0.0074 0.0072 0.0072 0.0072 0.0075 0.0075 0.0072 0.0072 0.0075 0.0072 0.0077 0.0077 0.0077 0.0077 0.0080 0.0077 0.0075 0.0074 0.0075 0.0072 0.0074 0.0075 0.0078 0.0080 0.0078 0.0077 0.0077 0.0077 0.0075 0.0074 0.0074 0.0074 0.0075 0.0075 0.0077 0.0075 0.0077 0.0075 0.0072 0.0072 0.0072 0.0074 ...
Hope this helps!

More Answers (2)

DGM
DGM on 24 Apr 2024
Edited: DGM on 24 Apr 2024
If you're worried about accuracy, then the answer is to stop, go back to the original data and work with it, not what appears to be a low-quality pseudocolor JPG using some unknown colormap and unknown scale. In other words, it doesn't matter that the image has suffered merely by being quantized, because there are other, more significant sources of error which cannot be fixed.
If the colormapping parameters (the colortable and the map limits) are unknown, then back-calculating the original values is mostly guesswork. The pseudocolor result of this unknown mapping isn't just quantized to integer values on the interval [0 255], the chroma data is also downsampled. For a 4:2:0 JPG, 75% of the chroma data is discarded, making it all that much more difficult to estimate the original data from the pseudocolor result. If the specific pixel values once meant something that needed to be known precisely, that information has largely already been lost.
If the result isn't pseudocolor, then it's unclear what the color means, and why specifically BT601 luma should yield values which map linearly to the data in a specific nonstandard interval.
If there is no original data, then you're left with a quantized, downsampled color image where the color has some unknown correlation to the represented data. Unless you have more information, it's guesswork. As @Stephen23 says, convert to unit-scale float before doing anything, and inheritance should keep the data in float. Do whatever you have to do, and then save the result in an appropriate format.
Almost all image file formats store data in integer form constrained to a closed interval. JPG has the additional limitation that without special effort, the result will also be degraded by downsampling and lossy compression. Don't use JPG. TIFF is the only common image format to which MATLAB can write float data. While float TIFF files are possible, they're cumbersome to read and write, and almost no other applications will properly handle them.
Given that float TIFF sacrifices compatibility, and you appear to want the data in an arbitrary scale, I don't see any point in even trying to use TIFF here. If you have floating point raster data on an arbitrary scale, just save it as a .mat file using save().
Deepu
Deepu on 24 Apr 2024
To display the data with more precision, you can use the fprintf function with a format specifier that specifies the desired number of decimal places. Here's how you can modify your code to achieve this:
image = imread('image.jpg');
gray_image = rgb2gray(image);
adjusted_image = imadjust(gray_image, [0, 1], [0, 10/255]);
data = adjusted_image(:);
fprintf('Values:\n');
fprintf('%.2f\n', data); % Display values with two decimal places
In the fprintf function, the format specifier '%.2f' specifies that the values should be displayed as floating-point numbers with two decimal places. Adjust the number 2 in the format specifier to change the precision as desired.

Categories

Find more on Convert Image Type in Help Center and File Exchange

Tags

Products


Release

R2020a

Community Treasure Hunt

Find the treasures in MATLAB Central and discover how the community can help you!

Start Hunting!