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{2225.18,2000.14,2198.62,2084.06,2397.35,1829.61,2403.05,1958.37,2294.06,2235.23,1716.43,2098.28,1630.61,1855.07,1505.14,2032.96,2410.49,3228.62,2108.27,3183.54,2585.95,2700.73,2450.93,2716.93,2590.3,2777.85,2617.2,3051.41,3047.59,2938.32,2931.92,3265.61,3266.35,3660.04,3489.16,3555.86,3359.52,3250.56,3748.86,1292.05,1148.53,1338.98,1593.9,1784.69,2036.28,1417.18,1279.38,1917.39,1764.43,1642.72,1717.18,1658.27,1659.01,1488.13,2902.74,3040.48,2356.13,2684.26,3110.98,3175.21,2690.49,1983.63,1862.28,2169.75,2386.73,2123.46,2336.78,2121.69,1808.73,1910.51,1818.92,1877.45,1840.12,1913.06,1758.96,1956.6,1822.65,1582.16,1742.45,1675.69,1659.78,1739.71,1221.86,1545.4,1456.75,1403.22,1170.73,1490.8,1660.32,1422.43,1496.71,1532.96,1766.5,1876.52,1789.51,1778.34,1668.97,1551.05,1409.87,1447.49,1623.06,1401.64,1188.45,1276.25,1358.01,1303.01,1149.26,1058.55,1121.38,1032.23,1028.62,828.4,1195.71,1038.66,1391.02,1076.94,1129.35,784.3,956.21,652.86,753.61,648.33,539.38,396.42,837.47,869.33,819.75,766.16,379.49,913.47,514.74,615.69,549.44,506.33,393.47,612.61,383.99,0,191.53,527.52,1389,1568.02,1144.87,1078.13},
{2089.49,1949.26,2069.96,1949.35,2262.9,1702.05,2279.42,1823.05,2166.96,2089.74,1583.87,1948.74,1489.37,1710.99,1366,1867.92,2246.92,3074.24,1949.86,3023.45,2434.68,2582.58,2340.24,2607.75,2466.25,2657.64,2499.09,2914.35,2923.28,2814.71,2819.1,3155.99,3138.2,3519.33,3371.83,3431.7,3242.34,3110.71,3625.52,1129.23,989.9,1189.87,1438.08,1625.22,1846.34,1234.03,1106.49,1725.89,1573.98,1466.36,1541.75,1467.34,1472.78,1299.05,2733.47,2851.13,2165.76,2530.23,2953.59,2991.17,2505.16,1868.48,1753.79,2072.9,2289.66,2017.04,2233.86,2019.05,1740.67,1852.81,1722.81,1808.4,1795.97,1889.43,1726.21,1920.06,1805.26,1523.86,1659.53,1603.21,1616.08,1677.53,1226.3,1503.35,1404.64,1365.01,1140.42,1462.73,1664.65,1440.01,1498.19,1558.94,1811.79,1893.51,1817.06,1653.44,1553.18,1424,1297.2,1354.11,1503.32,1338.83,1104.62,1153.37,1285.13,1196.68,1052.4,989.45,1076.48,1033.92,1006.77,773.87,1131.92,1092.63,1433.47,1098.84,1191.34,891.57,1014.08,766.63,760,682.28,624.06,525.11,965.81,1024.79,642.3,626.49,192.3,740.32,323.75,451.28,502.86,434.36,270.76,511.26,256.47,191.53,0,483.49,1255.36,1446.39,1211.84,1148.15},
{2451.64,2419.27,2447.37,2315.83,2625.53,2087.39,2664.16,2190.34,2546.26,2427.92,1961.72,2278.32,1850.61,2060.01,1735.48,2147.82,2524.74,3374.28,2252,3304.23,2751.51,2974.56,2746.8,3014.61,2848.29,3045.28,2891.85,3264.3,3301.08,3194.66,3218.59,3558.82,3506.62,3855.83,3760.25,3806.66,3631.69,3452.19,4001.18,1443.84,1325.83,1541.97,1762.16,1931.76,1824.05,1443.02,1382.81,1764.31,1678.6,1707.04,1784.42,1486.02,1411.37,1443.1,2516.85,2796.52,2143.98,2248.98,2681.6,2870.41,2403.67,2273.03,2170.03,2501.4,2716.13,2433.14,2652.92,2440.45,2200.48,2319.17,2155.71,2267.01,2269.98,2370.34,2204.89,2396.92,2287.52,1991.72,2107.28,2060.62,2090.97,2141.96,1709.18,1979.39,1876.66,1843.05,1621.52,1943.39,2147.87,1921.07,1981.52,2038,2283.56,2375.19,2296,2044.63,1961.59,1816.13,1715.4,1795.03,1906.34,1805.34,1558.78,1559.96,1745.38,1625.64,1495.49,1456.09,1553.74,1516.83,1489.62,1250.55,1599.9,1558.08,1905.97,1578.07,1652.09,1310.74,1476.89,1178.65,1241.45,1155,1065.3,921.18,1355.77,1360.52,941.28,1032.14,456.22,1046.14,595.76,826.23,984.96,911.81,733.6,969.95,272.88,527.52,483.49,0,929.11,1080.76,1669.17,1603.07},
{2538.94,2873.8,2575.27,2427.78,2698.67,2274.02,2794.02,2318.1,2670.56,2457.45,2144.93,2303.31,2009.18,2158.71,1932.67,2076.52,2404.35,3241.4,2216.58,3130.98,2700.1,3103.93,2934.6,3186.67,2957.29,3157.77,3028.69,3260.72,3371.13,3276.52,3356.77,3691.54,3540.24,3789.24,3840.45,3845.7,3719.93,3416.69,4034.87,1583.69,1541.78,1737,1850.65,1951.7,1220.24,1375.39,1464.34,1282.29,1341.81,1631.2,1695.96,1038.68,834.4,1250.77,1611.85,2052.39,1496.71,1320.42,1753.5,2042.15,1617.24,2492.97,2434.64,2776.93,2970.15,2673.72,2886.49,2697.23,2617.38,2759.53,2474.37,2673.8,2757.61,2911.4,2731.34,2898.25,2851.15,2462.55,2482.5,2478.02,2595.31,2584.5,2364.29,2499.01,2378.8,2386.87,2209.24,2504.01,2775.3,2590.69,2611.72,2720.2,2999.33,3023.05,2971.79,2251.97,2226.27,2056.49,2040.32,2177.99,2163.06,2285.41,2016.29,1879,2203.93,1994.26,1925.79,1974.52,2116.05,2182.11,2111.29,1842.96,2107.32,2312.69,2627.26,2276.25,2416.96,2146.65,2240.69,2021.88,1941.96,1902.36,1876.52,1775.56,2218.88,2257.28,1241.82,1476.02,1096.12,1307.52,1097.97,1299.68,1650.34,1561.05,1384.56,1546.46,1008.34,1389,1255.36,929.11,0,220,2441.92,2382.36},
{2743,3093.77,2782.41,2634.55,2900.48,2486.76,3000.16,2526.76,2876.9,2656.79,2358.19,2503.46,2221.89,2366.35,2147.89,2268.89,2586.87,3415.2,2411.38,3299.41,2888.7,3308.64,3144.44,3394.47,3160.91,3360.79,3234.33,3451.39,3569.25,3476.2,3561.24,3894.42,3733.8,3969.42,4037.83,4038.66,3918.52,3602.71,4226.56,1798.8,1760.06,1953.35,2060.22,2154.81,1330.47,1579.47,1677.72,1424.02,1511.6,1829.59,1891.9,1200.13,977.24,1444.98,1541.35,2083.59,1580.98,1203.41,1635.41,2029.1,1636.9,2706.55,2650.63,2992.36,3183.95,2887.73,3099.4,2911.99,2837.17,2979.45,2692.27,2893.42,2977.55,3130.74,2950.8,3118.13,3069.89,2682.48,2701.81,2697.89,2815,2804.48,2577.73,2718.37,2598.33,2605.51,2425.88,2722.37,2991.43,2803.82,2827.36,2932.74,3209.73,3238.51,3185.37,2465.96,2442.99,2272.94,2259.41,2397.76,2379.72,2505.16,2236.02,2098.34,2423.82,2214.08,2145.68,2192.95,2333.45,2394.14,2325.86,2057.85,2326.36,2516.86,2836.18,2486.06,2620.28,2337.31,2443.4,2210.37,2149.82,2105.09,2070.15,1960.06,2403.57,2431.14,1461.66,1694.48,1296.19,1527.47,1308.67,1515.64,1858.92,1769.97,1590.95,1760.07,1194.01,1568.02,1446.39,1080.76,220,0,2644.3,2583.62},
{1985.57,1232.57,1906.95,1860.26,2122.33,1602.63,2042.07,1763.71,1975.27,2077.25,1556.66,1998.58,1563.25,1754.85,1459.59,2095.66,2403.37,3049.52,2090.64,3065.9,2434.42,2263.6,1988.85,2214.15,2209.22,2348.08,2188.7,2729.44,2624.72,2519.3,2434.83,2721.51,2856.76,3328.36,2985,3097.78,2862.16,2937.11,3274.34,1514.36,1391.92,1430.23,1660.12,1838.43,2698.86,1824.92,1601.11,2503.19,2268.49,1908.79,1956.46,2318.88,2426.86,1992.37,3777.89,3664.77,2981.6,3648.37,4052.91,3899.34,3412.04,1629.64,1487.58,1653.59,1840.01,1680.57,1836,1652.91,1181.76,1198.61,1369.66,1240.4,1065.23,1016.26,938.66,1118.65,909.77,961.43,1226.51,1112.64,926.92,1094.47,401.92,839.62,846.66,733.11,596.03,722.97,672.82,426.88,561.83,473.77,635.69,812.6,698.59,1543.88,1397.76,1398.78,1208.34,1101.58,1394.27,882.36,916.79,1203.72,922.52,1107.76,980.94,795.67,670.64,409.26,536.4,723.81,799.65,138.6,291,288.62,37,414.66,201.3,534.69,521.62,539.56,605.78,773.34,475.4,655.52,1368.04,1114,1348.16,1380.53,1354.04,1203.2,806.09,894.64,1059.91,949.09,1468.11,1144.87,1211.84,1669.17,2441.92,2644.3,0,68.26},
{1996.17,1274.15,1920.31,1868.62,2136.37,1608.16,2061.21,1769.09,1991.05,2083.31,1556.96,2000.21,1557.53,1753.92,1450.67,2088.05,2402.37,3062.38,2087.93,3075.04,2442.62,2289.29,2014.46,2243.95,2230.86,2373.75,2213.37,2749.97,2651.26,2545.11,2465.36,2756.25,2883.37,3351.6,3018.03,3128.25,2894.37,2957.93,3306.32,1489.96,1363.95,1412.06,1647.39,1828.77,2661.01,1794.65,1572.55,2468.6,2236.93,1887.32,1937.03,2279.31,2382.26,1958.65,3730.74,3632,2946.86,3595.71,4002.03,3861.25,3373.12,1644.35,1501.91,1680.19,1870.41,1702.17,1863.13,1676.07,1210.92,1235.12,1387.75,1271.31,1105.28,1066.59,980.88,1164.91,960.36,985.5,1247.37,1135.15,960.62,1123.64,422.6,868.51,866.34,754.66,599.05,754.73,727.76,477.31,608.19,534.22,703.86,876.34,764.16,1549.08,1403.17,1395.87,1204.7,1106.04,1396.6,894.68,908.8,1190.86,928.74,1100.84,967.5,780.67,665.35,397.85,523.68,689.96,796.91,107.56,354.38,286.01,69.4,348.24,146.49,466.76,474.51,480.84,538.81,705.2,416.43,602.59,1323.8,1072.73,1287.48,1340.42,1297.69,1153.41,753.3,841.04,1002.57,901.32,1404.56,1078.13,1148.15,1603.07,2382.36,2583.62,68.26,0}
};
private static int cityNum = 144; // City total number
private double Temperature = 300; // Initial temperature
private double DiminishedRate = 0.9; // Temperature diminish rate
private int MarkovLength = 100000; // Markov Length
private int Diminish_T_num = 20000; //Used to control the temperature diminishing
private int AIM = 100; // The condition for stopping search
private string pathStr = ""; // Get the best path
private ArrayList currentPath = new ArrayList(); // Record the current path
public ArrayList bestPath = new ArrayList();// Record the best path
public SAA()
{
}
//Initialize the initial path 0,1,........,144
public void InitialPath()
{
for(int i=0;i<cityNum;i++)
{
currentPath.Add(i);
}
}
//Generate new state from current state .
private void GenerateNext(ArrayList path,int x,int y)
{
int xCity = x;
int yCity = y;
//turn between xCity and yCity
if(xCity < yCity )
{
path.Reverse(x,y-x+1);
}
//turn the beginning and the end
else if(xCity > yCity )
{
path.Reverse(0,y+1);
path.Reverse(x,path.Count-x);
}
}
//begin the simulate anneal arithmetic
public string Anneal()
{
double temperature = Temperature;
double distinction = 0;
double currentDst = 0 ; // current total length
double bestDst = 0; // current best total length
currentDst = CalculateTotalDistance(currentPath);
SetNewState(bestPath,currentPath);
bestDst = currentDst;
int aim = 0 ;
int diminish_t_num = 0;
Random r = new Random();
while(true)
{
currentDst = bestDst;
SetNewState(currentPath,bestPath);
//Current some temperature's Markov loop
for(int i=0;i<MarkovLength;i++)
{
int x = 0 , y = 0;
// Select two random cities
while(x==y)
{
x = r.Next(cityNum);
y = r.Next(cityNum);
}
distinction = CalculateDistinct(x,y);
//if current is better , generate the next new path
if( distinction<0 )
{
GenerateNext(currentPath,x,y);
currentDst = CalculateTotalDistance(currentPath);
diminish_t_num=0 ;
aim = 0;
}
/*
* else , according the random rate to generate the new path
* */
else if(Math.Exp(0-distinction/temperature) > r.NextDouble())
{
diminish_t_num++ ;
GenerateNext(currentPath,x,y);
currentDst = CalculateTotalDistance(currentPath);
}
else
{
diminish_t_num++ ;
}
/*if the current length is better , reset the best length with current length.
* and replace the best path with the current path
* */
if(currentDst<bestDst)
{
bestDst = currentDst;
SetNewState(bestPath,currentPath);
}
/*Aim is used to control the markvo loop
* if the markvo link loops AIM times without
* generating the new best path,then it will stop
* the anneal and return the current best path.
* */
if(aim==AIM)
{
for(int j=0;j<bestPath.Count;j++)
{
pathStr += bestPath[j]+"-->";
}
pathStr += " Min Length = " + CalculateTotalDistance(bestPath);
return pathStr;
}
/*At the same temperature,if the markvo looping Diminish_T_num times
*generating the new best path,it will drop out of the loop and begin next annealing.
* */
if(diminish_t_num>Diminish_T_num)
{
aim++;
break;
}
}
temperature *= DiminishedRate ;//deminish the temperature
}
}
//Calculate the path's total length
private double CalculateTotalDistance(ArrayList path)
{
double total = 0;
for(int i=0;i<cityNum-1;i++)
{
total += city[(int)path[i],(int)path[i+1]] ;
}
total += city[(int)path[cityNum-1],(int)path[0]];
return total;
}
//calculate the distinct length betweent current path and the new path
private double CalculateDistinct(int x, int y)
{
int x1,x2,y1,y2;
double distinct = 0;
x1 = x - 1;
x2 = x + 1;
y1 = y - 1;
y2 = y + 1;
