匹配追踪(Match Pursuit, MP)算法

介绍

匹配追踪(MP)算法由Mallat于1992年提出，用于解决信号的稀疏表示问题。算法按信号在基(basis)上的投影大小顺序，依次求解稀疏系数，是一种贪婪求解的算法。原始论文对算法进行了详细的论证，较为复杂，可以阅读Koredianto Usman的文章快速直观了解其原理。

流程

待分解的信号记作$y$，第$i$个basis记作$b_i$，稀疏系数向量记作$\Phi$，则算法可以表示为：

$$
\begin{aligned}
R^{(0)} &= y \\
m(n) &= \underset{i}{\arg\max} |\langle R^{(n)},b_i\rangle| \\
\Phi_{m(n)} &= \langle R^{(n)},b_{m(n)}\rangle/|b_{m(n)}|^2 \\
R^{(n+1)} &= R^{(n)}-b_{m(n)}\Phi_{m(n)}
\end{aligned}
$$

算法终止条件可以选择$n$次迭代或$R^{(n)}<\epsilon$。

实现

 1
 2
 3
 4
 5
 6
 7
 8
 9
10
11
12
13
14
15
16


% inputs:
% y: signal
% B: basis matrix [b1 b2 ... bn]
% iter: number of iterations
% output:
% coef: coefficient vector \Phi
function coef = mp(y, B, iter)
    R = y;
    coef = zeros(size(B,2), 1);
    for i = 1:iter
        [~, m] = max(abs(B'*R));
        phi_m = B(:,m)' * R / norm(B(:,m)) / norm(B(:,m));
        R = R - B(:,m) * phi_m;
        coef(m) = phi_m;
    end
end

效果

使用高斯包络的回波模型生成时域位置不同的基，执行MP算法，可以得到实际超声信号在这组基下的稀疏表示。

 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


clear;

% signal - colum vector
data = [2232,3202,4089,2942,0,0,351,4089,4089,4089,1629,0,0,0,0,4072,4089,4089,4089,4089,0,0,0,0,0,4089,4089,4089,4089,222,0,0,0,4089,4089,4089,4089,4089,0,0,0,0,1397,4089,4089,4089,4089,49,0,0,0,0,3668,4089,4089,4089,4089,3108,0,0,0,0,0,4089,4089,4089,4089,4089,4089,0,0,0,0,0,0,4089,4089,4089,4089,4089,3502,0,0,0,0,1797,848,127,120,1605,4039,4054,4089,4089,4080,1658,814,1330,1920,1915,1214,382,397,975,1751,2744,3466,3746,3662,3218,2738,2335,2013,1733,1471,1236,1067,1009,1077,1249,1467,1680,1858,1990,2099,2212,2350,2513,2689,2850,2950,2955,2821,2572,2258,1974,1822,1859,2060,2326,2544,2612,2523,2327,2118,1952,1859,1816,1780,1728,1664,1609,1596,1637,1730,1864,2015,2167,2298,2400,2476,2523,2546,2544,2519,2472,2408,2330,2248,2166,2091,2025,1979,1942,1915,1905,1912,1932,1966,2009,2054,2092,2118,2133,2151,2171,2203,2243,2276,2285,2261,2209,2145,2095,2068,2072,2103,2143,2171,2174,2147,2103,2059,2035,2035,2056,2090,2125,2163,2186,2188,2177,2156,2137,2126,2123,2127,2137,2141,2151,2149,2147,2136,2124,2110,2093,2092,2136,2216,2262,2198,2017,1802,1711,1870,2257,2696,2955,2854,2367,1666,1073,884,1223,1984,2865,3483,3556,3043,2174,1323,848,918,1442,2147,2731,2986,2892,2564,2174,1873,1732,1747,1858,2011,2149,2248,2296,2296,2259,2200,2131,2074,2041,2039,2064,2106,2148,2177,2187,2172,2150,2128,2115,2108,2104,2107,2117,2135,2148,2154,2147,2134,2125,2121,2124,2126,2131,2138,2142,2141,2130,2118,2113,2110,2121,2139,2164,2173,2161,2135,2105,2078,2068,2086,2123,2165,2196,2206,2180,2141,2098,2075,2073,2088,2115,2145,2170,2177,2165,2143,2124,2110,2107,2111,2119,2125,2130,2134,2140,2139,2138,2137,2134,2127,2125,2124,2123,2125,2131,2134,2139,2145,2147,2143,2133,2113,2099,2094,2103,2126,2154,2179,2182,2168,2135,2101,2074,2074,2091,2122,2151,2174,2183,2178,2155,2127,2098,2081,2081,2097,2118,2145,2166,2175,2170,2154,2126,2102,2095,2101,2114,2134,2146,2150,2146,2136,2125,2121,2123,2127,2126,2123,2120,2126,2138,2151,2157,2158,2149,2128,2103,2083,2082,2095,2122,2158,2184,2194,2184,2147,2101,2063,2056,2077,2128,2176,2197,2189,2157,2117,2085,2075,2090,2118,2152,2176,2180,2159,2131,2101,2085,2090,2109,2132,2147,2143,2147,2176,2228,2244,2161,1984,1791,1739,1930,2326,2728,2915,2740,2214,1539,1043,980,1425,2221,3037,3513,3420,2795,1900,1138,821,1051,1673,2373,2860,2985,2796,2431,2064,1825,1742,1783,1894,2025,2139,2225,2281,2305,2285,2237,2166,2088,2031,2006,2018,2064,2120,2172,2202,2204,2188,2163,2132,2105,2086,2078,2089,2112,2134,2151,2161,2159,2148,2137,2123,2120,2120,2124,2125,2128,2131,2131,2130,2135,2140,2143,2141,2131,2114,2107,2105,2115,2132,2155,2169,2171,2160,2132,2099,2076,2072,2096,2135,2177,2195,2182,2152,2116,2091,2086,2096,2119,2143,2165,2173,2160,2138,2113,2100,2102,2111,2132,2143,2146,2145,2142,2133,2123,2120,2121,2128,2135,2134,2128,2118,2114,2112,2127,2152,2174,2178,2162,2128,2089,2069,2069,2086,2128,2166,2197,2204,2180,2141,2097,2064,2060,2086,2128,2163,2180,2178,2157,2129,2109,2100,2103,2119,2131,2144,2148,2148,2141,2131,2119,2110,2110,2121,2131,2142,2144,2139,2132,2123,2124,2133,2144,2152,2152,2132,2098,2072,2067,2091,2146,2197,2226,2224,2180,2113,2056,2025,2032,2075,2135,2187,2218,2210,2173,2126,2094,2083,2090,2107,2126,2143,2151,2150,2141,2125,2114,2117,2131,2146,2152,2141,2114,2100,2128,2192,2227,2172,2019,1856,1823,2006,2355,2682,2799,2581,2073,1484,1111,1161,1650,2406,3106,3430,3218,2546,1707,1062,883,1215,1869,2533,2938,2980,2719,2323,1960,1745,1693,1772,1919,2080,2213,2299,2339,2329,2279,2194,2096,2015,1975,1985,2040,2119,2189,2227,2228,2199,2155,2105,2074,2066,2083,2110,2145,2163,2167,2154,2138,2120,2113,2112,2121,2131,2139,2140,2133,2126,2124,2124,2131,2140,2148,2145,2131,2106,2086,2090,2114,2147,2178,2192,2179,2154,2113,2076,2062,2072,2107,2149,2185,2195,2178,2146,2112,2089,2088,2103,2123,2144,2155,2154,2137,2123,2117,2117,2125,2136,2144,2146,2140,2128,2117,2115,2116,2120,2130,2143,2152,2154,2141,2118,2092,2084,2101,2140,2181,2208,2198,2154,2096,2046,2029,2051,2107,2176,2225,2236,2208,2146,2083,2046,2047,2081,2129,2171,2185,2174,2152,2124,2111,2112,2118,2129,2133,2133,2131,2129,2124,2123,2127,2135,2138,2142,2144,2136,2131,2121,2111,2108,2116,2136,2164,2185,2180,2148,2099,2049,2026,2051,2116,2196,2258,2269,2225,2143,2057,1995,1986,2035,2118,2199,2248,2245,2200,2131,2080,2059,2064,2100,2137,2159,2161,2147,2128,2117,2116,2127,2140,2150,2151,2140,2120,2099,2099,2135,2204,2229,2166,2012,1870,1855,2041,2362,2649,2716,2485,2005,1486,1201,1315,1815,2509,3097,3304,3010,2339,1583,1071,1018,1414,2050,2636,2936,2894,2597,2208,1880,1710,1706,1820,1982,2140,2258,2330,2355,2324,2242,2135,2032,1972,1970,2020,2100,2176,2222,2226,2196,2155,2114,2092,2089,2096,2114,2129,2140,2143,2142,2138,2132,2128,2126,2130,2136,2138,2137,2132,2120,2112,2111,2124,2147,2168,2166,2145,2114,2082,2076,2089,2124,2167,2197,2202,2176,2128,2079,2050,2058,2091,2139,2183,2204,2193,2157,2114,2084,2074,2091,2124,2152,2164,2162,2147,2124,2110,2106,2115,2134,2144,2155,2148,2132,2117,2106,2110,2121,2134,2147,2153,2153,2140,2119,2092,2084,2093,2127,2172,2213,2221,2185,2118,2047,2006,2014,2072,2153,2227,2266,2250,2188,2107,2043,2013,2043,2102,2161,2198,2201,2174,2132,2102,2088,2096,2120,2144,2154,2150,2139,2126,2114,2113,2121,2132,2145,2151,2146,2137,2121,2107,2102,2110,2131,2159,2184,2189,2164,2115,2057,2018,2023,2080,2170,2257,2297,2275,2191,2079,1981,1943,1978,2074,2187,2273,2290,2246,2164,2075,2024,2021,2064,2127,2176,2197,2180,2147,2116,2099,2103,2122,2143,2155,2153,2136,2112,2092,2095,2142,2207,2233,2166,2019,1880,1876,2061,2368,2618,2650,2405,1953,1503,1294,1458,1950,2577,3055,3155,2819,2178,1517,1125,1168,1597,2199,2696,2905,2792,2474,2106,1830,1714,1753,1885,2041,2182,2280,2332,2334,2288,2203,2098,2014,1972,1989,2053,2131,2196,2226,2218,2180,2138,2104,2082,2080,2100,2121,2141,2152,2152,2139,2133,2128,2125,2126,2126,2132,2133,2133,2132,2126,2116,2121,2134,2150,2165,2164,2137,2102,2073,2064,2087,2133,2187,2218,2216,2179,2118,2054,2023,2035,2088,2160,2218,2233,2202,2146,2090,2061,2067,2097,2133,2166,2174,2162,2137,2112,2100,2103,2123,2143,2157,2155,2137,2117,2106,2110,2125,2135,2146,2152,2150,2145,2129,2106,2087,2084,2100,2141,2187,2215,2211,2163,2096,2034,2007,2028,2097,2182,2255,2274,2238,2157,2065,2004,2002,2053,2130,2197,2229,2212,2161,2107,2069,2070,2097,2136,2169,2180,2167,2133,2103,2087,2093,2120,2149,2165,2157,2143,2125,2110,2101,2099,2113,2140,2170,2194,2193,2156,2098,2039,2007,2038,2109,2204,2278,2296,2245,2144,2032,1953,1940,2009,2129,2248,2310,2294,2210,2100,2024,2000,2040,2106,2169,2201,2200,2171,2128,2095,2085,2095,2125,2149,2165,2159,2137,2111,2090,2100,2141,2201,2223,2161,2035,1913,1912,2085,2354,2563,2569,2328,1921,1542,1398,1593,2058,2605,2984,3009,2647,2053,1492,1215,1326,1761,2303,2707,2831,2673,2360,2034,1817,1748,1806,1936,2081,2210,2291,2323,2315,2259,2169,2073,1998,1979,2015,2082,2155,2210,2226,2208,2164,2113,2081,2073,2093,2121,2147,2157,2147,2133,2120,2114,2122,2138,2149,2150,2141,2127,2119,2110,2111,2116,2129,2151,2167,2172,2157,2125,2088,2063,2062,2099,2151,2206,2228,2209,2157,2089,2035,2024,2054,2119,2186,2227,2222,2179,2120,2071,2055,2074,2113,2153,2176,2175,2158,2134,2110,2099,2099,2120,2143,2158,2156,2139,2123,2113,2118,2123,2137,2140,2149,2150,2139,2123,2099,2084,2088,2114,2158,2205,2221,2203,2150,2072,2016,2001,2038,2117,2204,2268,2272,2219,2126,2041,1998,2015,2078,2155,2216,2233,2199,2143,2093,2063,2067,2098,2144,2175,2182,2162,2128,2097,2087,2103,2130,2158,2170,2160,2140,2119,2100,2093,2100,2120,2153,2186,2204,2187,2134,2072,2021,2009,2055,2143,2238,2297,2294,2220,2100,1989,1929,1951,2050,2179,2283,2318,2274,2178,2071,2000,1997,2048,2122,2185,2216,2206,2166,2120,2085,2076,2092,2126,2158,2171,2161,2140,2113,2092,2097,2135,2188,2208,2153,2045,1948,1952,2103,2333,2503,2492,2275,1925,1612,1509,1705,2121,2582,2880,2864,2522,2000,1528,1323,1462,1869,2346,2678,2747,2572,2279,1998,1828,1796,1868,1987,2109,2211,2276,2302,2289,2236,2154,2066,2008,1992,2025,2096,2165,2218,2225,2196,2145,2100,2076,2079,2103,2134,2157,2165,2154,2131,2113,2109,2115,2131,2144,2151,2145,2132,2117,2111,2108,2117,2129,2152,2171,2176,2158,2120,2076,2055,2062,2105,2163,2212,2230,2205,2151,2086,2034,2022,2055,2123,2193,2230,2219,2170,2111,2071,2062,2085,2119,2153,2170,2170,2155,2130,2109,2098,2108,2125,2147,2157,2155,2138,2120,2106,2106,2119,2132,2146,2157,2158,2146,2124,2097,2077,2081,2113,2161,2208,2224,2199,2138,2065,2014,2013,2058,2138,2218,2263,2256,2192,2104,2026,2000,2029,2104,2181,2227,2229,2189,2130,2078,2058,2072,2105,2146,2174,2177,2159,2130,2106,2094,2106,2128,2152,2160,2156,2141,2119,2103,2092,2094,2116,2151,2192,2211,2195,2133,2058,2008,2006,2062,2160,2252,2299,2281,2199,2081,1981,1935,1972,2075,2196,2293,2312,2256,2155,2051,1990,1999,2058,2137,2203,2229,2207,2157,2098,2068,2064,2095,2138,2171,2183,2164,2133,2103,2091,2099,2136,2184,2197,2146,2046,1962,1980,2126,2334,2464,2431,2222,1914,1659,1606,1801,2172,2556,2791,2740,2418,1965,1578,1432,1587,1956,2361,2622,2654,2489,2226,1993,1855,1836,1906,2016,2128,2216,2273,2289,2271,2213,2131,2053,2006,2010,2051,2116,2179,2213,2213,2183,2142,2105,2083,2081,2099,2128,2157,2168,2158,2138,2116,2106,2111,2126,2142,2149,2148,2139,2126,2108,2101,2108,2129,2160,2182,2185,2153,2108,2064,2048,2068,2116,2174,2221,2226,2195,2135,2069,2030,2034,2080,2140,2199,2224,2212,2163,2104,2060,2052,2078,2126,2167,2189,2182,2154,2120,2096,2087,2095,2123,2150,2165,2161,2144,2124,2111,2106,2116,2129,2144,2156,2157,2140,2115,2088,2076,2087,2125,2172,2215,2223,2190,2122,2050,2004,2014,2072,2155,2233,2270,2255,2181,2092,2020,1998,2033,2108,2182,2226,2224,2182,2125,2085,2065,2079,2106,2141,2167,2174,2163,2136,2111,2097,2099,2122,2145,2158,2156,2139,2117,2102,2096,2102,2128,2161,2190,2200,2175,2122,2059,2016,2021,2080,2171,2253,2292,2263,2175,2060,1969,1945,1995,2103,2222,2300,2300,2233,2129,2033,1993,2012,2078,2154,2209,2224,2201,2148,2100,2070,2071,2098,2137,2164,2170,2157,2132,2110,2095,2102,2135,2178,2196,2153,2062,1985,1998,2122,2300,2416,2385,2202,1932,1715,1679,1861,2191,2522,2708,2645,2350,1949,1623,1520,1682,2016,2364,2573,2575,2416,2193,2003,1895,1882,1940,2028,2122,2201,2255,2274,2258,2206,2131,2055,2012,2013,2058,2123,2186,2216,2208,2172,2122];
data = fft(data);
data(1) = 0;
data = ifft(data);
y = data(156:end)';
assert(iscolumn(y), 'signal should be column vector');

% basis matrix
fsa = 40e6;
tstep = 1 / fsa;
step = tstep;
model = getmodel();
t = 0:tstep:tstep*(length(y) - 1);
steps = 0:step:t(end);
t = t';
U = zeros(length(y), length(steps));
for i = 1:length(steps)
    U(:,i) = model(t - steps(i));
end
assert(size(U,1)==length(y), 'dictionary dim error');

% iterate 20 times
sol = mp(y, U, 20);

% reconstruct signal
y_r = U * sol;
figure;
subplot(2,1,1);
plot(t, y);
hold on;
plot(t, y_r);
subplot(2,1,2);
plot(t, y);
hold on;
plot(steps, sol);

function model = getmodel()
    f = 4e6;
    phi = 0;
    alpha = 5e-7;
    model = @(t) exp(-pi*(t/alpha).^2).*cos(2*pi*f*t + phi);
end

{
    "type": "line",
    "data": {
        "labels": [0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,66,67,68,69,70,71,72,73,74,75,76,77,78,79,80,81,82,83,84,85,86,87,88,89,90,91,92,93,94,95,96,97,98,99,100,101,102,103,104,105,106,107,108,109,110,111,112,113,114,115,116,117,118,119,120,121,122,123,124,125,126,127,128,129,130,131,132,133,134,135,136,137,138,139,140,141,142,143,144,145,146,147,148,149,150,151,152,153,154,155,156,157,158,159,160,161,162,163,164,165,166,167,168,169,170,171,172,173,174,175,176,177,178,179,180,181,182,183,184,185,186,187,188,189,190,191,192,193,194,195,196,197,198,199,200,201,202,203,204,205,206,207,208,209,210,211,212,213,214,215,216,217,218,219,220,221,222,223,224,225,226,227,228,229,230,231,232,233,234,235,236,237,238,239,240,241,242,243,244,245,246,247,248,249,250,251,252,253,254,255,256,257,258,259,260,261,262,263,264,265,266,267,268,269,270,271,272,273,274,275,276,277,278,279,280,281,282,283,284,285,286,287,288,289,290,291,292,293,294,295,296,297,298,299,300,301,302,303,304,305,306,307,308,309,310,311,312,313,314,315,316,317,318,319,320,321,322,323,324,325,326,327,328,329,330,331,332,333,334,335,336,337,338,339,340,341,342,343,344,345,346,347,348,349,350,351,352,353,354,355,356,357,358,359,360,361,362,363,364,365,366,367,368,369,370,371,372,373,374,375,376,377,378,379,380,381,382,383,384,385,386,387,388,389,390,391,392,393,394,395,396,397,398,399,400,401,402,403,404,405,406,407,408,409,410,411,412,413,414,415,416,417,418,419,420,421,422,423,424,425,426,427,428,429,430,431,432,433,434,435,436,437,438,439,440,441,442,443,444,445,446,447,448,449,450,451,452,453,454,455,456,457,458,459,460,461,462,463,464,465,466,467,468,469,470,471,472,473,474,475,476,477,478,479,480,481,482,483,484,485,486,487,488,489,490,491,492,493,494,495,496,497,498,499,500,501,502,503,504,505,506,507,508,509,510,511,512,513,514,515,516,517,518,519,520,521,522,523,524,525,526,527,528,529,530,531,532,533,534,535,536,537,538,539,540,541,542,543,544,545,546,547,548,549,550,551,552,553,554,555,556,557,558,559,560,561,562,563,564,565,566,567,568,569,570,571,572,573,574,575,576,577,578,579,580,581,582,583,584,585,586,587,588,589,590,591,592,593,594,595,596,597,598,599,600,601,602,603,604,605,606,607,608,609,610,611,612,613,614,615,616,617,618,619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635,636,637,638,639,640,641,642,643,644,645,646,647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666,667,668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689,690,691,692,693,694,695,696,697,698,699,700,701,702,703,704,705,706,707,708,709,710,711,712,713,714,715,716,717,718,719,720,721,722,723,724,725,726,727,728,729,730,731,732,733,734,735,736,737,738,739,740,741,742,743,744,745,746,747,748,749,750,751,752,753,754,755,756,757,758,759,760,761,762,763,764,765,766,767,768,769,770,771,772,773,774,775,776,777,778,779,780,781,782,783,784,785,786,787,788,789,790,791,792,793,794,795,796,797,798,799,800,801,802,803,804,805,806,807,808,809,810,811,812,813,814,815,816,817,818,819,820,821,822,823,824,825,826,827,828,829,830,831,832,833,834,835,836,837,838,839,840,841,842,843,844,845,846,847,848,849,850,851,852,853,854,855,856,857,858,859,860,861,862,863,864,865,866,867,868,869,870,871,872,873,874,875,876,877,878,879,880,881,882,883,884,885,886,887,888,889,890,891,892,893,894,895,896,897,898,899,900,901,902,903,904,905,906,907,908,909,910,911,912,913,914,915,916,917,918,919,920,921,922,923,924,925,926,927,928,929,930,931,932,933,934,935,936,937,938,939,940,941,942,943,944,945,946,947,948,949,950,951,952,953,954,955,956,957,958,959,960,961,962,963,964,965,966,967,968,969,970,971,972,973,974,975,976,977,978,979,980,981,982,983,984,985,986,987,988,989,990,991,992,993,994,995,996,997,998,999,1000,1001,1002,1003,1004,1005,1006,1007,1008,1009,1010,1011,1012,1013,1014,1015,1016,1017,1018,1019,1020,1021,1022,1023,1024,1025,1026,1027,1028,1029,1030,1031,1032,1033,1034,1035,1036,1037,1038,1039,1040,1041,1042,1043,1044,1045,1046,1047,1048,1049,1050,1051,1052,1053,1054,1055,1056,1057,1058,1059,1060,1061,1062,1063,1064,1065,1066,1067,1068,1069,1070,1071,1072,1073,1074,1075,1076,1077,1078,1079,1080,1081,1082,1083,1084,1085,1086,1087,1088,1089,1090,1091,1092,1093,1094,1095,1096,1097,1098,1099,1100,1101,1102,1103,1104,1105,1106,1107,1108,1109,1110,1111,1112,1113,1114,1115,1116,1117,1118,1119,1120,1121,1122,1123,1124,1125,1126,1127,1128,1129,1130,1131,1132,1133,1134,1135,1136,1137,1138,1139,1140,1141,1142,1143,1144,1145,1146,1147,1148,1149,1150,1151,1152,1153,1154,1155,1156,1157,1158,1159,1160,1161,1162,1163,1164,1165,1166,1167,1168,1169,1170,1171,1172,1173,1174,1175,1176,1177,1178,1179,1180,1181,1182,1183,1184,1185,1186,1187,1188,1189,1190,1191,1192,1193,1194,1195,1196,1197,1198,1199,1200,1201,1202,1203,1204,1205,1206,1207,1208,1209,1210,1211,1212,1213,1214,1215,1216,1217,1218,1219,1220,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230,1231,1232,1233,1234,1235,1236,1237,1238,1239,1240,1241,1242,1243,1244,1245,1246,1247,1248,1249,1250,1251,1252,1253,1254,1255,1256,1257,1258,1259,1260,1261,1262,1263,1264,1265,1266,1267,1268,1269,1270,1271,1272,1273,1274,1275,1276,1277,1278,1279,1280,1281,1282,1283,1284,1285,1286,1287,1288,1289,1290,1291,1292,1293,1294,1295,1296,1297,1298,1299,1300,1301,1302,1303,1304,1305,1306,1307,1308,1309,1310,1311,1312,1313,1314,1315,1316,1317,1318,1319,1320,1321,1322,1323,1324,1325,1326,1327,1328,1329,1330,1331,1332,1333,1334,1335,1336,1337,1338,1339,1340,1341,1342,1343,1344,1345,1346,1347,1348,1349,1350,1351,1352,1353,1354,1355,1356,1357,1358,1359,1360,1361,1362,1363,1364,1365,1366,1367,1368,1369,1370,1371,1372,1373,1374,1375,1376,1377,1378,1379,1380,1381,1382,1383,1384,1385,1386,1387,1388,1389,1390,1391,1392,1393,1394,1395,1396,1397,1398,1399,1400,1401,1402,1403,1404,1405,1406,1407,1408,1409,1410,1411,1412,1413,1414,1415,1416,1417,1418,1419,1420,1421,1422,1423,1424,1425,1426,1427,1428,1429,1430,1431,1432,1433,1434,1435,1436,1437,1438,1439,1440,1441,1442,1443,1444,1445,1446,1447,1448,1449,1450,1451,1452,1453,1454,1455,1456,1457,1458,1459,1460,1461,1462,1463,1464,1465,1466,1467,1468,1469,1470,1471,1472,1473,1474,1475,1476,1477,1478,1479,1480,1481,1482,1483,1484,1485,1486,1487,1488,1489,1490,1491,1492,1493,1494,1495,1496,1497,1498,1499,1500,1501,1502,1503,1504,1505,1506,1507,1508,1509,1510,1511,1512,1513,1514,1515,1516,1517,1518,1519,1520,1521,1522,1523,1524,1525,1526,1527,1528,1529,1530,1531,1532,1533,1534,1535,1536,1537,1538,1539,1540,1541,1542,1543,1544,1545,1546,1547,1548,1549,1550,1551,1552,1553,1554,1555,1556,1557,1558,1559,1560,1561,1562,1563,1564,1565,1566,1567,1568,1569,1570,1571,1572,1573,1574,1575,1576,1577,1578,1579,1580,1581,1582,1583,1584,1585,1586,1587,1588,1589,1590,1591,1592,1593,1594,1595,1596,1597,1598,1599,1600,1601,1602,1603,1604,1605,1606,1607,1608,1609,1610,1611,1612,1613,1614,1615,1616,1617,1618,1619,1620,1621,1622,1623,1624,1625,1626,1627,1628,1629,1630,1631,1632,1633,1634,1635,1636,1637,1638,1639,1640,1641,1642,1643,1644,1645,1646,1647,1648,1649,1650,1651,1652,1653,1654,1655,1656,1657,1658,1659,1660,1661,1662,1663,1664,1665,1666,1667,1668,1669,1670,1671,1672,1673,1674,1675,1676,1677,1678,1679,1680,1681,1682,1683,1684,1685,1686,1687,1688,1689,1690,1691,1692,1693,1694,1695,1696,1697,1698,1699,1700,1701,1702,1703,1704,1705,1706,1707,1708,1709,1710,1711,1712,1713,1714,1715,1716,1717,1718,1719,1720,1721,1722,1723,1724,1725,1726,1727,1728,1729,1730,1731,1732,1733,1734,1735,1736,1737,1738,1739,1740,1741,1742,1743,1744,1745,1746,1747,1748,1749,1750,1751,1752,1753,1754,1755,1756,1757,1758,1759,1760,1761,1762,1763,1764,1765,1766,1767,1768,1769,1770,1771,1772,1773,1774,1775,1776,1777,1778,1779,1780,1781,1782,1783,1784,1785,1786,1787,1788,1789,1790,1791,1792,1793,1794,1795,1796,1797,1798,1799,1800,1801,1802,1803,1804,1805,1806,1807,1808,1809,1810,1811,1812,1813,1814,1815,1816,1817,1818,1819,1820,1821,1822,1823,1824,1825,1826,1827,1828,1829,1830,1831,1832,1833,1834,1835,1836,1837,1838,1839,1840,1841,1842,1843,1844,1845,1846,1847,1848,1849,1850,1851,1852,1853,1854,1855,1856,1857,1858,1859,1860,1861,1862,1863,1864,1865,1866,1867,1868,1869,1870,1871,1872,1873,1874,1875,1876,1877,1878,1879,1880,1881,1882,1883,1884,1885,1886,1887,1888,1889,1890,1891,1892],
        "datasets": [
        {
            "label": "original",
            "data": [-261,-110,42,173,275,351,398,421,419,394,347,283,205,123,41,-34,-100,-146,-183,-210,-220,-213,-193,-159,-116,-71,-33,-7,8,26,46,78,118,151,160,136,84,20,-30,-57,-53,-22,18,46,49,22,-22,-66,-90,-90,-69,-35,0,38,61,63,52,31,12,1,-2,2,12,16,26,24,22,11,-1,-15,-32,-33,11,91,137,73,-108,-323,-414,-255,132,571,830,729,242,-459,-1052,-1241,-902,-141,740,1358,1431,918,49,-802,-1277,-1207,-683,22,606,861,767,439,49,-252,-393,-378,-267,-114,24,123,171,171,134,75,6,-51,-84,-86,-61,-19,23,52,62,47,25,3,-10,-17,-21,-18,-8,10,23,29,22,9,0,-4,-1,1,6,13,17,16,5,-7,-12,-15,-4,14,39,48,36,10,-20,-47,-57,-39,-2,40,71,81,55,16,-27,-50,-52,-37,-10,20,45,52,40,18,-1,-15,-18,-14,-6,0,5,9,15,14,13,12,9,2,0,-1,-2,0,6,9,14,20,22,18,8,-12,-26,-31,-22,1,29,54,57,43,10,-24,-51,-51,-34,-3,26,49,58,53,30,2,-27,-44,-44,-28,-7,20,41,50,45,29,1,-23,-30,-24,-11,9,21,25,21,11,0,-4,-2,2,1,-2,-5,1,13,26,32,33,24,3,-22,-42,-43,-30,-3,33,59,69,59,22,-24,-62,-69,-48,3,51,72,64,32,-8,-40,-50,-35,-7,27,51,55,34,6,-24,-40,-35,-16,7,22,18,22,51,103,119,36,-141,-334,-386,-195,201,603,790,615,89,-586,-1082,-1145,-700,96,912,1388,1295,670,-225,-987,-1304,-1074,-452,248,735,860,671,306,-61,-300,-383,-342,-231,-100,14,100,156,180,160,112,41,-37,-94,-119,-107,-61,-5,47,77,79,63,38,7,-20,-39,-47,-36,-13,9,26,36,34,23,12,-2,-5,-5,-1,0,3,6,6,5,10,15,18,16,6,-11,-18,-20,-10,7,30,44,46,35,7,-26,-49,-53,-29,10,52,70,57,27,-9,-34,-39,-29,-6,18,40,48,35,13,-12,-25,-23,-14,7,18,21,20,17,8,-2,-5,-4,3,10,9,3,-7,-11,-13,2,27,49,53,37,3,-36,-56,-56,-39,3,41,72,79,55,16,-28,-61,-65,-39,3,38,55,53,32,4,-16,-25,-22,-6,6,19,23,23,16,6,-6,-15,-15,-4,6,17,19,14,7,-2,-1,8,19,27,27,7,-27,-53,-58,-34,21,72,101,99,55,-12,-69,-100,-93,-50,10,62,93,85,48,1,-31,-42,-35,-18,1,18,26,25,16,0,-11,-8,6,21,27,16,-11,-25,3,67,102,47,-106,-269,-302,-119,230,557,674,456,-52,-641,-1014,-964,-475,281,981,1305,1093,421,-418,-1063,-1242,-910,-256,408,813,855,594,198,-165,-380,-432,-353,-206,-45,88,174,214,204,154,69,-29,-110,-150,-140,-85,-6,64,102,103,74,30,-20,-51,-59,-42,-15,20,38,42,29,13,-5,-12,-13,-4,6,14,15,8,1,-1,-1,6,15,23,20,6,-19,-39,-35,-11,22,53,67,54,29,-12,-49,-63,-53,-18,24,60,70,53,21,-13,-36,-37,-22,-2,19,30,29,12,-2,-8,-8,0,11,19,21,15,3,-8,-10,-9,-5,5,18,27,29,16,-7,-33,-41,-24,15,56,83,73,29,-29,-79,-96,-74,-18,51,100,111,83,21,-42,-79,-78,-44,4,46,60,49,27,-1,-14,-13,-7,4,8,8,6,4,-1,-2,2,10,13,17,19,11,6,-4,-14,-17,-9,11,39,60,55,23,-26,-76,-99,-74,-9,71,133,144,100,18,-68,-130,-139,-90,-7,74,123,120,75,6,-45,-66,-61,-25,12,34,36,22,3,-8,-9,2,15,25,26,15,-5,-26,-26,10,79,104,41,-113,-255,-270,-84,237,524,591,360,-120,-639,-924,-810,-310,384,972,1179,885,214,-542,-1054,-1107,-711,-75,511,811,769,472,83,-245,-415,-419,-305,-143,15,133,205,230,199,117,10,-93,-153,-155,-105,-25,51,97,101,71,30,-11,-33,-36,-29,-11,4,15,18,17,13,7,3,1,5,11,13,12,7,-5,-13,-14,-1,22,43,41,20,-11,-43,-49,-36,-1,42,72,77,51,3,-46,-75,-67,-34,14,58,79,68,32,-11,-41,-51,-34,-1,27,39,37,22,-1,-15,-19,-10,9,19,30,23,7,-8,-19,-15,-4,9,22,28,28,15,-6,-33,-41,-32,2,47,88,96,60,-7,-78,-119,-111,-53,28,102,141,125,63,-18,-82,-112,-82,-23,36,73,76,49,7,-23,-37,-29,-5,19,29,25,14,1,-11,-12,-4,7,20,26,21,12,-4,-18,-23,-15,6,34,59,64,39,-10,-68,-107,-102,-45,45,132,172,150,66,-46,-144,-182,-147,-51,62,148,165,121,39,-50,-101,-104,-61,2,51,72,55,22,-9,-26,-22,-3,18,30,28,11,-13,-33,-30,17,82,108,41,-106,-245,-249,-64,243,493,525,280,-172,-622,-831,-667,-175,452,930,1030,694,53,-608,-1000,-957,-528,74,571,780,667,349,-19,-295,-411,-372,-240,-84,57,155,207,209,163,78,-27,-111,-153,-136,-72,6,71,101,93,55,13,-21,-43,-45,-25,-4,16,27,27,14,8,3,0,1,1,7,8,8,7,1,-9,-4,9,25,40,39,12,-23,-52,-61,-38,8,62,93,91,54,-7,-71,-102,-90,-37,35,93,108,77,21,-35,-64,-58,-28,8,41,49,37,12,-13,-25,-22,-2,18,32,30,12,-8,-19,-15,0,10,21,27,25,20,4,-19,-38,-41,-25,16,62,90,86,38,-29,-91,-118,-97,-28,57,130,149,113,32,-60,-121,-123,-72,5,72,104,87,36,-18,-56,-55,-28,11,44,55,42,8,-22,-38,-32,-5,24,40,32,18,0,-15,-24,-26,-12,15,45,69,68,31,-27,-86,-118,-87,-16,79,153,171,120,19,-93,-172,-185,-116,4,123,185,169,85,-25,-101,-125,-85,-19,44,76,75,46,3,-30,-40,-30,0,24,40,34,12,-14,-35,-25,16,76,98,36,-90,-212,-213,-40,229,438,444,203,-204,-583,-727,-532,-67,480,859,884,522,-72,-633,-910,-799,-364,178,582,706,548,235,-91,-308,-377,-319,-189,-44,85,166,198,190,134,44,-52,-127,-146,-110,-43,30,85,101,83,39,-12,-44,-52,-32,-4,22,32,22,8,-5,-11,-3,13,24,25,16,2,-6,-15,-14,-9,4,26,42,47,32,0,-37,-62,-63,-26,26,81,103,84,32,-36,-90,-101,-71,-6,61,102,97,54,-5,-54,-70,-51,-12,28,51,50,33,9,-15,-26,-26,-5,18,33,31,14,-2,-12,-7,-2,12,15,24,25,14,-2,-26,-41,-37,-11,33,80,96,78,25,-53,-109,-124,-87,-8,79,143,147,94,1,-84,-127,-110,-47,30,91,108,74,18,-32,-62,-58,-27,19,50,57,37,3,-28,-38,-22,5,33,45,35,15,-6,-25,-32,-25,-5,28,61,79,62,9,-53,-104,-116,-70,18,113,172,169,95,-25,-136,-196,-174,-75,54,158,193,149,53,-54,-125,-128,-77,-3,60,91,81,41,-5,-40,-49,-33,1,33,46,36,15,-12,-33,-28,10,63,83,28,-80,-177,-173,-22,208,378,367,150,-200,-513,-616,-420,-4,457,755,739,397,-125,-597,-802,-663,-256,221,553,622,447,154,-127,-297,-329,-257,-138,-16,86,151,177,164,111,29,-59,-117,-133,-100,-29,40,93,100,71,20,-25,-49,-46,-22,9,32,40,29,6,-12,-16,-10,6,19,26,20,7,-8,-14,-17,-8,4,27,46,51,33,-5,-49,-70,-63,-20,38,87,105,80,26,-39,-91,-103,-70,-2,68,105,94,45,-14,-54,-63,-40,-6,28,45,45,30,5,-16,-27,-17,0,22,32,30,13,-5,-19,-19,-6,7,21,32,33,21,-1,-28,-48,-44,-12,36,83,99,74,13,-60,-111,-112,-67,13,93,138,131,67,-21,-99,-125,-96,-21,56,102,104,64,5,-47,-67,-53,-20,21,49,52,34,5,-19,-31,-19,3,27,35,31,16,-6,-22,-33,-31,-9,26,67,86,70,8,-67,-117,-119,-63,35,127,174,156,74,-44,-144,-190,-153,-50,71,168,187,131,30,-74,-135,-126,-67,12,78,104,82,32,-27,-57,-61,-30,13,46,58,39,8,-22,-34,-26,11,59,72,21,-79,-163,-145,1,209,339,306,97,-211,-466,-519,-324,47,431,666,615,293,-160,-547,-693,-538,-169,236,497,529,364,101,-132,-270,-289,-219,-109,3,91,148,164,146,88,6,-72,-119,-115,-74,-9,54,88,88,58,17,-20,-42,-44,-26,3,32,43,33,13,-9,-19,-14,1,17,24,23,14,1,-17,-24,-17,4,35,57,60,28,-17,-61,-77,-57,-9,49,96,101,70,10,-56,-95,-91,-45,15,74,99,87,38,-21,-65,-73,-47,1,42,64,57,29,-5,-29,-38,-30,-2,25,40,36,19,-1,-14,-19,-9,4,19,31,32,15,-10,-37,-49,-38,0,47,90,98,65,-3,-75,-121,-111,-53,30,108,145,130,56,-33,-105,-127,-92,-17,57,101,99,57,0,-40,-60,-46,-19,16,42,49,38,11,-14,-28,-26,-3,20,33,31,14,-8,-23,-29,-23,3,36,65,75,50,-3,-66,-109,-104,-45,46,128,167,138,50,-65,-156,-180,-130,-22,97,175,175,108,4,-92,-132,-113,-47,29,84,99,76,23,-25,-55,-54,-27,12,39,45,32,7,-15,-30,-23,10,53,71,28,-63,-140,-127,-3,175,291,260,77,-193,-410,-446,-264,66,397,583,520,225,-176,-502,-605,-443,-109,239,448,450,291,68,-122,-230,-243,-185,-97,-3,76,130,149,133,81,6,-70,-113,-112,-67,-2,61,91,83,47,-3],            
            "borderColor":"#4095CD",
            "order": 2
        },
        {
            "label": "sparse representation",
            "data": [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,2,1,-2,-6,-11,-13,-6,13,42,67,70,28,-63,-181,-268,-253,-88,210,535,721,617,177,-476,-1074,-1314,-1013,-229,737,1465,1619,1118,181,-780,-1360,-1352,-829,-76,565,860,765,412,5,-281,-371,-294,-137,11,95,109,77,30,-6,-22,-22,-14,-4,1,4,3,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-2,-3,-3,-1,4,11,16,13,-1,-25,-50,-57,-32,30,108,159,134,12,-174,-335,-360,-179,173,549,741,588,89,-569,-1076,-1151,-700,111,926,1370,1240,604,-239,-913,-1155,-919,-374,204,580,650,464,164,-102,-242,-246,-159,-50,32,67,62,37,10,-7,-13,-11,-6,-2,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-2,-6,-9,-10,-4,8,24,36,32,8,-34,-75,-90,-58,19,111,166,134,6,-173,-304,-287,-80,257,564,653,413,-112,-708,-1088,-1025,-490,314,1039,1357,1125,451,-360,-960,-1126,-846,-300,248,585,627,432,139,-111,-238,-235,-150,-44,33,65,60,35,10,-7,-12,-10,-6,-1,1,2,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,-1,-5,-9,-11,-6,9,32,54,59,30,-40,-135,-213,-217,-102,125,391,570,535,234,-263,-762,-1027,-891,-360,374,1003,1249,1003,374,-360,-891,-1027,-762,-263,234,535,570,391,125,-102,-217,-213,-135,-40,30,59,54,32,9,-6,-11,-9,-5,-1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-1,-5,-9,-10,-5,7,22,35,35,17,-20,-64,-93,-87,-38,43,125,168,146,59,-61,-164,-204,-164,-61,59,146,168,125,43,-38,-87,-93,-64,-20,17,35,35,23,7,-4,-9,-10,-10,-10,-9,-3,9,29,48,52,25,-38,-122,-190,-189,-83,122,359,510,463,175,-281,-722,-930,-759,-229,460,1007,1156,826,157,-551,-990,-988,-588,-4,491,701,588,263,-93,-324,-365,-248,-66,87,156,141,76,5,-42,-54,-40,-17,2,12,13,8,3,-1,-2,-2,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-1,-5,-9,-10,-5,6,22,35,35,17,-20,-64,-93,-87,-38,43,124,167,145,59,-61,-163,-203,-163,-61,59,145,167,124,43,-38,-87,-93,-64,-20,16,35,35,22,8,-2,-7,-7,-8,-11,-15,-14,-3,19,47,65,54,4,-76,-155,-183,-120,38,237,380,367,155,-198,-541,-691,-530,-81,478,886,933,564,-72,-693,-1021,-918,-446,165,647,814,644,261,-141,-398,-444,-316,-110,69,163,165,107,33,-22,-45,-42,-25,-7,4,8,7,4,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-2,-6,-10,-11,-5,7,24,38,39,18,-22,-70,-102,-96,-42,47,136,184,160,64,-67,-180,-224,-180,-67,64,160,184,136,47,-42,-96,-102,-70,-23,17,37,36,23,9,1,0,2,0,-10,-27,-42,-41,-16,32,86,119,102,26,-89,-194,-228,-153,19,219,349,321,118,-188,-456,-540,-365,23,460,739,709,357,-173,-651,-863,-720,-295,215,593,698,525,188,-151,-359,-385,-266,-86,68,146,144,91,27,-20,-40,-36,-21,-6,4,7,6,3,1,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-2,-6,-10,-11,-5,7,24,38,38,18,-22,-69,-101,-95,-41,47,135,182,158,64,-66,-178,-222,-178,-66,64,158,182,135,47,-41,-95,-101,-69,-22,18,38,38,24,7,-5,-10,-10,-6,-2,0,1,2,4,6,6,3,-5,-19,-32,-35,-18,23,80,126,128,60,-73,-230,-335,-315,-137,155,448,604,524,212,-220,-590,-735,-590,-220,212,524,604,448,155,-137,-315,-335,-230,-73,60,128,126,80,23,-18,-35,-32,-19,-5,4,6,5,3,1,0,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,2,2,1,-1,-5,-9,-10,-5,7,23,36,36,17,-21,-65,-95,-89,-39,44,127,172,149,60,-63,-168,-209,-168,-63,60,149,172,127,44,-39,-89,-95,-65,-21,17,36,36,23,7,-5,-10,-9,-6,-2,0,1,2,3,5,5,3,-5,-16,-28,-30,-15,20,69,109,111,52,-64,-199,-291,-273,-119,134,389,524,455,184,-191,-512,-638,-512,-191,184,455,524,389,134,-119,-273,-291,-199,-64,52,111,109,69,20,-15,-30,-28,-16,-4,3,6,5,3,1,0,-1],            
            "borderColor":"#D95319",
            "order": 1
        },
        {
            "label": "coef",
            "data": [0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1521,0,0,-342,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,395,0,0,0,0,0,0,1453,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-217,0,0,0,0,0,0,0,0,0,0,0,1379,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1249,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-204,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1103,0,0,0,0,0,0,0,284,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-203,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-351,0,0,0,0,0,0,0,-956,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-224,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,252,0,0,0,0,0,0,0,0,0,0,0,0,-842,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-222,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-735,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-209,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-638,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0],
            "borderColor":"#FFFFFF",
            "order": 0
        }
        ]
    },
    "options": {
        "tooltips": {
            "enabled": false
        },
        "animation": {
            "duration": 0
        },
        "elements": {
            "point": {
                "radius": 0
            },
            "line": {
                "borderWidth": 1,
                "tension": 0,
                "backgroundColor":"transparent"
            }
        }
    }
}