)，：，則（3）當油浮子的高度時，如圖4-8所示，圖4-SEQ圖4-\*ARABIC8其中，，此時截面面積為：所以油罐裝油的體積為則上式公式變為：利用Matlab中的命令subs代人附件1實驗數據中的各高度得到儲油罐中的理論油量。由附件1實驗數據中進油量、出油量及儲油罐罐內油量初值可以得到儲油罐中的實際油量，根據理論油量及實際油量就可以得出誤差。由附錄中的程序youliang2，我們得到了理論油量，誤差及相對誤差。傾斜時進油后理論儲油量與實際儲油量隨高度的變化規律如圖4-9所示：圖4-SEQ圖4-\*ARABIC9傾斜時出油后理論儲油量與實際儲油量隨高度的變化規律如圖4-10所示：圖4-SEQ圖4-\*ARABIC10將傾斜進油和傾斜變位出油的儲油理論值和儲油實際值及誤差和相對誤差的數據如表4-2所示：表4-SEQ表4-\*ARABIC2傾斜變位進油傾斜變位出油儲油量實際量儲油量理論值(誤差)相對誤差儲油量實際值儲油量理論值(誤差)相對誤差962.91010.07.194.67%3464.73523.158.371.66%1012.91058.345.474.30%3414.73478.163.351.82%1062.91118.055.194.94%3364.73430.465.671.91%1112.91167.554.674.68%3314.73382.067.281.99%1162.91222.159.294.85%3264.73330.966.191.99%1212.91279.266.345.19%3214.73289.474.692.27%1262.91327.564.634.87%3164.73234.569.772.16%1312.81382.669.825.05%3114.73188.974.172.33%1362.81433.670.814.94%3064.73137.372.572.31%1412.71485.072.234.86%3014.73088.974.112.40%1462.71536.173.354.78%2964.73040.175.402.48%1512.71591.979.144.97%2914.72989.274.482.49%1562.71645.182.425.01%2864.72947.782.982.82%1612.71697.484.674.99%2814.72891.176.362.64%1662.71749.987.164.98%2764.72845.480.622.83%1712.71796.683.894.67%2714.72794.079.312.84%1762.71848.886.084.66%2664.72747.582.723.01%1812.71900.087.324.60%2614.72695.881.073.01%1862.71952.790.014.61%2564.72644.579.783.02%1912.71999.286.484.33%2514.72598.183.333.21%1962.72052.789.974.38%2464.72547.182.383.23%2012.72103.290.504.30%2414.72500.285.473.42%2062.72148.485.723.99%2364.72451.987.113.55%2112.72202.389.544.07%2314.72402.988.143.67%2162.72252.790.014.00%2264.72349.784.973.62%2212.72303.791.013.95%2214.72298.884.113.66%2262.72352.289.443.80%2164.72256.091.294.05%2312.72402.790.023.75%2114.72204.489.664.07%2362.72452.289.513.65%2064.72156.691.834.26%2412.72497.985.173.41%2014.72106.791.974.37%2462.72548.785.933.37%1964.72053.188.354.30%2512.72599.686.833.34%1914.72005.690.814.53%2562.72644.781.963.10%1864.71953.588.784.54%2612.72696.383.553.10%1814.71905.190.394.74%2662.72748.886.113.13%1764.71852.888.024.75%2712.72798.986.143.08%1714.71801.586.774.82%2762.72847.284.492.97%1664.71752.787.995.02%2812.72895.983.132.87%1614.71699.384.554.98%2862.72942.179.342.70%1564.71645.981.184.93%2912.72992.679.842.67%1514.71602.087.275.45%2962.73044.281.482.68%1464.71544.179.355.14%3012.73089.676.912.49%1414.71492.677.895.22%3062.73140.878.102.49%1364.71444.179.415.50%3112.73189.776.992.41%1314.71392.377.565.57%3162.73234.071.322.21%1264.71333.468.625.15%3212.73284.171.392.17%1214.71280.565.785.14%3262.73334.671.882.16%1164.71230.665.915.36%3312.73379.066.291.96%1114.71175.160.375.14%3362.73423.560.821.78%1064.71124.759.975.33%3412.73473.260.461.74%1014.71067.853.104.97%3462.73517.754.931.56%964.71011.847.054.65%3512.73569.556.731.59%3514.73573.258.491.64%由上述的程序還可以描繪出傾斜時儲油量的誤差隨罐內油位高度的變化情況，如圖4-11所示：圖4-SEQ圖4-\*ARABIC11由上述圖我們可以知道傾斜時不管是進油后儲油量的誤差還是出油后儲油量的誤差均隨罐內油位高度的變化呈正態分布，說明該模型建立得貼合實際。由上述得到儲油罐發生變位時體積關于的公式我們可以給出罐體變位后油位高度間隔為1cm的罐容表標定值（即進/出油量與罐內油位高度的表格），如表4-3所示：表4-SEQ表4-\*ARABIC3罐體變位后油位高度間隔為1cm的罐容表標定值高度（h）

cm體積（v）

L高度（h）

cm體積（v）

L高度（h）

cm體積（v）

L高度（h）

cm體積（v）

L13.53126461.5511413.9762491.326.26352749452145677253439.974828527.1531498.4782576.6414.756329560.9541540.9792619.1520.690830595.2551583.5802661.4627.854231630.1561626.3812703.6736.316332665.6571669.2822745.5846.142433701.5581712.2832787.2957.393534738591755.3842828.71070.12735774.9601798.58528701184.396836812.2611841.8862911.112100.254137850621885.1872951.813117.747538888.2631928.5882992.314136.92339926.7641971.9893032.515157.824640965.7652015.4903072.416180.493941100.5662058.891311217204.971421044.6672102.3923151.218228.9431084.5682145.7933190.119254.94411248692189.1943228.620281.9451165.3702232.5953266.721309.8461206.2712275.8963304.422338.5471247.2722319.1973341.723368.1481.2886732362.3983378.524398.5491330.1742405.4993414.925429.7501371.9752448.41003450.7§4.2問題二我們一開始考慮當儲油罐水平放置時油量與浮油子高度的函數關系。當儲油罐水平放置無橫向與縱向傾斜時，設油高為h，所建立的空間直角建立坐標系如圖4-12所示：圖4-SEQ圖4-\*ARABIC12儲油罐中儲油的體積可分為兩部分，圓柱體中儲存油的體積與兩端的球罐體中油的體積，根據對稱性，兩端的球罐體中油的體積相等。用垂直于z軸的平面截儲油罐，根據截面法求體積公式可求出儲油的體積。第一種情況：1、對于圓柱體部分：2、，如圖4-13所示： 圖4-SEQ圖4-\*ARABIC13 圖4-SEQ圖4-\*ARABIC14由圖4-13可看出，根據幾何關系：用平面截球罐體，設截得小圓半徑為，所圖4-14所示，根據幾何關系得：截面圓的油高為，積分解得：第二種情況：對于圓柱體的部分同第一種情況對于球罐體體積截面圓的油高為這種情況與第一種情況相同，因此與第一種情況相同。模型的建立：V與h的函數關系為：我們就油所占的體積進行初步討論,建立笛卡爾坐標系如圖4-15,可以得出球冠體的球面方程為:圖4-SEQ圖4-\*ARABIC15如圖4-15所示，油罐體中所含油的部分分成兩份，分別計算它們的體積。因為右半部分的體積利用投影法可以由以下約束公式算出由上述第一個公式可以得出曲頂柱體的蓋面方程為左半部分的體積近似利用截面法可以由以下公式算出，由圖4-15可以得出點的坐標為；過垂直于軸做截面，設過的截面面積為；由圖4-15可知過的截面面積為近似可表示如下：有上述的可以得到儲油罐中油量與油位高度及變位參數的函數關系：以下為在固定的橫向偏轉角度條件下，就縱向傾斜角度的變化進行分類討論。令情形Ⅰ．當時，（1）該情況的圖4-16所示：圖4-SEQ圖4-\*ARABIC16由圖4-16可知和式代入式，得：由此可得：（2）該情況如圖4-17所示：圖4-SEQ圖4-\*ARABIC17同上可得（3）該情況如圖4-18所示：圖4-SEQ圖4-\*ARABIC18,設實際儲油罐總體積為，情形Ⅱ．當時，（1）該情況的圖示如下：圖4-SEQ圖4-\*ARABIC19（2）該情況如圖4-20所示：圖4-SEQ圖4-\*ARABIC20（3）該情況如圖4-21所示：圖4-SEQ圖4-\*ARABIC21,情形Ⅲ．當時，（1）該情況如圖4-22所示：圖4-SEQ圖4-\*ARABIC22（2）該情況如圖4-23所示：圖4-SEQ圖4-\*ARABIC23§5模型的進一步討論就第二問我們在上述討論一般情況分析的基礎上對左半部分進行了詳細的分析。以下方程用來求：首先我們求出截面和球冠體的交線：§6模型的優缺點§6.1優點（1）對于問題一，從儲油罐無變位與變位兩個方面建立了模型，求得的儲油量理論值與儲油量實際值吻合得較好，相對誤差小；特別是水平時相對誤差穩定，符合要求，因此能準確的預測出罐體變位后油位高度間隔為1cm的罐容表標定值。（2）對于問題二，先就一般情況考慮，再細分成8種情形，思維縝密，考慮周到。利用Matlab軟件求出值，求得各高度下的儲油量理論值與儲油量實際值吻合得較好，相對誤差小，符合要求，因此能準確的預測出罐體變位后油位高度間隔為10cm的罐容表標定值。（3）模型實用性好，具有很強的現實應用指導意義，數學推導嚴謹，理論性強。§6.2缺點模型的假設不夠充分，對誤差的檢驗不夠詳細，沒有從多方面進行誤差診斷。§7參考文獻[1]韓中庚.數學建模競賽-獲獎論文精選與點評[M].北京：科學出社,2007.[2]王文波.數學建模及其基礎知識詳解[M].武漢：武漢大學出版社，2006.[3]王庚，王敏生.現代數學建模方法[M].北京:科學出版社,2006.[4]趙靜,但琦.數學建模與數學實驗[M].北京:高等教育出版社,2007.[5]姜啟源,謝金星,葉俊.數學模型[M].北京:高等教育出版社,2003.[6]馮杰,黃力偉,王勤,尹成義.數學建模原理與案例[M].北京:科學出版 社,2007.§7附錄§7.1附件１表7-SEQ表7-\*ARABIC1無變位進油流水號油罐號累加進油量/L油位高度/mm采集時間11150159.022010-08-1810:32142010-08-1810:33592010-08-1810:3452010-08-1810:35932010-08-1810:36972010-08-1810:37:08171350253.662010-08-1810:38:08181400268.042010-08-1810:39:08191450282.162010-08-1810:40:08201500296.032010-08-1810:41:08211550309.692010-08-1810:41:58221600323.152010-08-1810:42:58231650336.442010-08-1810:43:58241700349.572010-08-1810:45562010-08-1810:46:08261800375.422010-08-1810:47:08271850388.162010-08-1810:48:08281900400.792010-08-1810:49:08291950413.322010-08-1810:49:583011000425.762010-08-1810:50:583111050438.122010-08-1810:51:583211100450.42010-08-1810:52:483311150462.622010-08-1810:53:483411200474.782010-08-1810:54:483511250486.892010-08-1810:55:483611300498.952010-08-1810:56:383711350510.972010-08-1810:57:383811400522.952010-08-1810:58:383911450534.92010-08-1810:59:284011500546.822010-08-1811:00:284111550558.722010-08-1811:01:184211600570.612010-08-1811:02:184311650582.482010-08-1811:03:184411700594.352010-08-1811:04:084511750606.222010-08-1811:05:084611800618.092010-08-1811:05:584711850629.962010-08-1811:06:584811900641.852010-08-1811:07:584911950653.752010-08-1811:08:485012000665.672010-08-1811:09:485112050677.632010-08-1811:10:485212053.83678.542010-08-1811:11:185312103.83690.532010-08-1811:12:185412105.06690.822010-08-1812:36:185512155.06702.852010-08-1812:37:185612205.06714.912010-08-1812:38:185712255.06727.032010-08-1812:39:185812305.06739.192010-08-1812:40:185912355.06751.422010-08-1812:41:186012404.98763.72010-08-1812:42:186112406.83764.162010-08-1812:50:286212456.83776.532010-08-1812:51:386312506.83788.992010-08-1812:53:086412556.83801.542010-08-1812:54:086512606.83814.192010-08-1812:54:586612656.83826.952010-08-1812:56:086712706.83839.832010-08-1812:57:086812756.83852.842010-08-1812:58:086912806.838662010-08-1812:59:087012856.83879.322010-08-1813:00:087112906.83892.822010-08-1813:01:387212906.91892.842010-08-1813:02:187312956.91906.532010-08-1813:03:287413006.91920.452010-08-1813:04:287513056.91934.612010-08-1813:05:287613106.91949.052010-08-1813:06:187713156.91963.82010-08-1813:07:287813206.91978.912010-08-1813:08:187913256.91994.432010-08-1813:09:188013306.911010.432010-08-1813:10:288113356.911026.992010-08-1813:11:288213406.911044.252010-08-1813:12:288313456.911062.372010-08-1813:13:288413506.911081.592010-08-1813:14:188513556.911102.332010-08-1813:15:188613606.911125.322010-08-1813:16:288713656.911152.362010-08-1813:17:288813706.911193.492010-08-1813:18:28注： （1）罐體無變位進油，罐內油量初值262L； （2）第三列累加進油量是每次加入一定量油后的累加值； （3）第四列是原罐內初始油量加入相應油量后油位高度值。表7-SEQ表7-\*ARABIC2無變位出油流水號油罐號累加出油量/L油位高度/mm采集時間111152.721150.722010-08-1814:31:011121102.721123.992010-08-1814:31:561131152.721101.152010-08-1814:32:561141202.721080.512010-08-1814:33:461151252.721061.362010-08-1814:34:461161302.721043.292010-08-1814:35:461171352.721026.082010-08-1814:36:361181402.721009.542010-08-1814:37:361191452.72993.572010-08-1814:38:261201502.72978.082010-08-1814:39:261211552.72962.992010-08-1814:40:161221602.72948.262010-08-1814:41:161231652.72933.842010-08-1814:42:061241702.72919.692010-08-1814:43:061251752.72905.782010-08-1814:43:561261802.72892.12010-08-1814:44:561271852.72878.612010-08-1814:45:461281902.72865.32010-08-1814:46:461291952.72852.152010-08-1814:47:3613011002.72839.142010-08-1814:48:3613111052.72826.272010-08-1814:49:2613211102.72813.522010-08-1814:50:2613311152.72800.872010-08-1814:51:1613411202.72788.332010-08-1814:52:1613511252.72775.882010-08-1814:53:1613611302.72763.512010-08-1814:54:0613711352.72751.212010-08-1814:55:0613811402.72738.982010-08-1814:56:0613911452.72726.812010-08-1814:56:5614011502.72714.72010-08-1814:57:5614111552.72702.642010-08-1814:58:4614211602.72690.612010-08-1814:59:4614311652.72678.632010-08-1815:00:3614411702.72666.682010-08-1815:01:3614511752.72654.752010-08-1815:02:3614611802.72642.842010-08-1815:03:2614711852.72630.962010-08-1815:04:2614811902.72619.082010-08-1815:05:1614911952.72607.212010-08-1815:06:1615012002.72595.352010-08-1815:07:0615112052.72583.482010-08-1815:08:0615212102.72571.612010-08-1815:09:0615312152.72559.722010-08-1815:09:5615412202.72547.822010-08-1815:10:5615512252.72535.92010-08-1815:11:4615612302.72523.952010-08-1815:12:4615712352.72511.972010-08-1815:13:3615812402.72499.962010-08-1815:14:3615912452.72487.92010-08-1815:15:3616012502.72475.82010-08-1815:16:2616112552.72463.652010-08-1815:17:2616212602.72451.432010-08-1815:18:2616312652.72439.152010-08-1815:19:1616412702.72426.82010-08-1815:20:1616512752.72414.362010-08-1815:21:1616612802.72401.842010-08-1815:22:0616712852.72389.222010-08-1815:23:0616812902.72376.492010-08-1815:23:5616912952.72363.642010-08-1815:24:5617013002.72350.672010-08-1815:25:5617113052.72337.552010-08-1815:26:4617213102.72324.272010-08-1815:27:4617313152.72310.822010-08-1815:28:4617413202.72297.182010-08-1815:29:3617513252.72283.332010-08-1815:30:3617613302.72269.242010-08-1815:31:2617713352.72254.882010-08-1815:32:2617813402.72240.212010-08-1815:33:2617913452.72225.212010-08-1815:34:2618013502.72209.812010-08-1815:35:1618113552.72193.942010-08-1815:36:1618213602.72177.542010-08-1815:37:1618313652.72160.482010-08-1815:38:061841.003702.72142.622010-08-1815:39:06注： （1）罐體無變位出油； （2）第三列的累加出油量是每次抽出一定量油后的累加值； （3）第四列是從罐內抽出相應油量后油位高度值。表7-SEQ表7-\*ARABIC3傾斜變位進油流水號油罐號累加進油量/L油位高度/mm采集時間2111747.86411.292010-08-1915:10:272121797.86423.452010-08-1915:11:272131847.86438.332010-08-1915:12:372141897.86450.542010-08-1915:13:272151947.86463.92010-08-1915:14:272161997.86477.742010-08-1915:15:3721711047.86489.372010-08-1915:16:2721811097.79502.562010-08-1915:17:2721911147.79514.692010-08-1915:18:2722011197.73526.842010-08-1915:19:2722111247.73538.882010-08-1915:20:3722211297.73551.962010-08-1915:21:3722311347.73564.42010-08-1915:22:3722411397.73576.562010-08-1915:23:3722511447.73588.742010-08-1915:24:3722611497.73599.562010-08-1915:25:3722711547.73611.622010-08-1915:26:3722811597.73623.442010-08-1915:27:3722911647.73635.582010-08-1915:28:3723011697.73646.282010-08-1915:29:2723111747.73658.592010-08-1915:30:2723211797.73670.222010-08-1915:31:2723311847.73680.632010-08-1915:32:1723411897.73693.032010-08-1915:33:1723511947.73704.672010-08-1915:34:1723611997.73716.452010-08-1915:35:1723712047.73727.662010-08-1915:36:1723812097.73739.392010-08-1915:37:1723912147.73750.92010-08-1915:38:1724012197.73761.552010-08-1915:39:0724112247.73773.432010-08-1915:40:0724212297.73785.392010-08-1915:41:0724312347.73796.042010-08-1915:41:5724412397.73808.272010-08-1915:42:5724512447.73820.82010-08-1915:43:5724612497.73832.82010-08-1915:44:5724712547.73844.472010-08-1915:45:5724812597.73856.292010-08-1915:46:5724912647.73867.62010-08-1915:47:4725012697.73880.062010-08-1915:48:4725112747.73892.922010-08-1915:49:5725212797.73904.342010-08-1915:50:5725312847.73917.342010-08-1915:51:5725412897.73929.92010-08-1915:52:5725512947.73941.422010-08-1915:53:4725612997.73954.62010-08-1915:54:4725713047.73968.092010-08-1915:55:4725813097.73980.142010-08-1915:56:3725913147.73992.412010-08-1915:57:3726013197.731006.342010-08-1915:58:3726113247.731019.072010-08-1915:59:2726213297.731034.242010-08-1916:00:3726313299.741035.362010-08-1916:01:27注： （1）罐體縱向傾斜變位進油，縱向傾斜角4.1°，罐內油量初值215L； （2）第三列累加進油量是每次加入一定量油后的累加值； （3）第四列是原罐內油量加入相應油量后油位高度值。表7-SEQ表7-\*ARABIC4傾斜變位出油流水號油罐號累加出油量/L油位高度/mm采集時間3111501020.652010-08-1916:10:3131211001007.732010-08-1916:11:213131150994.322010-08-1916:12:213141200980.962010-08-1916:13:113151250967.12010-08-1916:14:113161300956.012010-08-1916:15:013171350941.542010-08-1916:16:013181400929.692010-08-1916:16:513191450916.442010-08-1916:17:513201500904.142010-08-1916:18:513211550891.92010-08-1916:19:413221600879.232010-08-1916:20:413231650868.992010-08-1916:21:313241700855.132010-08-1916:22:313251750844.022010-08-1916:23:213261800831.642010-08-1916:24:213271850820.472010-08-1916:25:113281900808.162010-08-1916:26:1132919507962010-08-1916:27:1133011000785.042010-08-1916:28:0133111050773.072010-08-1916:29:0133211100762.092010-08-1916:29:5133311150750.812010-08-1916:30:5133411200739.422010-08-1916:31:4133511250727.092010-08-1916:32:4133611300715.322010-08-1916:33:4133711350705.432010-08-1916:34:3133811400693.522010-08-1916:35:3133911450682.52010-08-1916:36:2134011500671.022010-08-1916:37:2134111550658.682010-08-1916:38:2134211600647.742010-08-1916:39:1134311650635.762010-08-1916:40:1134411700624.612010-08-1916:41:0134511750612.532010-08-1916:42:0134611800600.692010-08-1916:43:0134711850589.42010-08-1916:43:51348119005772010-08-1916:44:5134911950564.582010-08-1916:45:5135012000554.332010-08-1916:46:4135112050540.762010-08-1916:47:4135212100528.652010-08-1916:48:4135312150517.192010-08-1916:49:3135412200504.872010-08-1916:50:3135512250490.782010-08-1916:51:5135612300478.062010-08-1916:52:5135712350465.972010-08-1916:53:4135812400452.42010-08-1916:54:4135912450439.982010-08-1916:55:3136012500425.832010-08-1916:56:3136112550411.732010-08-1916:57:31注： （1）罐體縱向傾斜變位出油，縱向傾斜角4.1°； （2）第三列累加出油量是每次抽出一定量油后的累加值； （3）第四列是原罐內油量抽出一定量油后的油位高度值。§7.2附件2表7-SEQ表7-\*ARABIC5實際儲油罐的采集數據流水號油罐號進油量/L出油量/L顯示油高/mm顯示油量容積/L采集時間20102060.002632.2360448.882010-08-0108:00:49202020149.092624.3060311.432010-08-0108:15:4220302068.452620.6760248.032010-08-0108:23:41204020199.272610.2960065.112010-08-0108:38:1420502070.052606.6159999.692010-08-0108:53:08206020136.362599.5959874.062010-08-0109:08:01207020232.742587.6059657.022010-08-0109:32:06208020107.972582.0559555.512010-08-0109:56:1820902049.242579.5759509.942010-08-0110:10:0921002080.652575.4459433.772010-08-0110:26:28211020120.292569.4659322.852010-08-0110:48:35212020108.242564.1259223.172010-08-0111:02:4821302083.462559.8359142.662010-08-0111:36:04214020229.932548.4758927.692010-08-0113:16:24215020181.702539.6358758.612010-08-0113:24:25216020238.522528.0158534.012010-08-0113:37:33217020131.792521.6358409.582010-08-0114:00:03218020238.332510.2358185.312010-08-0114:36:0221902042.922508.1758144.522010-08-0114:52:08220020171.342500.0757983.362010-08-0115:06342490.0657782.532010-08-0115:16:4322202092.382485.7357695.082010-08-0115:48:22223020243.852474.4057464.672010-08-0116:06:31224020206.692464.7757267.022010-08-0116:25:54225020224.502454.5157054.652010-08-0116:41:24226020169.262446.7756893.242010-08-0117:06:08227020220.092436.8556684.862010-08-0117:45:54228020117.542431.5556572.862010-08-0118:03:3422902093.442427.3256483.122010-08-0118:14:52230020114.462422.2056374.112010-08-0118:35:24231020174.692414.3556206.142010-08-0119:12:55232020232.772404.0555984.222010-08-0120:34:44233020110.862399.1555878.052010-08-0121:05:57234020138.592393.1255746.872010-08-0207:18:34235020242.212382.5055514.452010-08-0207:23:30236020186.432374.3555334.902010-08-0207:39:21237020275.382362.4455070.682010-08-0207:48:3623802092.652358.4054980.572010-08-0208:04:44239020239.282348.1354750.402010-08-0208:28:32240020206.682339.3754552.852010-08-0208:33:36241020104.632334.8854451.172010-08-0208:46:28242020158.802328.1354297.752010-08-0208:58:39243020142.432322.1454161.062010-08-0209:03:54244020189.172314.1453977.712010-08-0209:14:47245020238.952304.1453747.272010-08-0209:25:5524602073.582301.0953676.722010-08-0209:35:54247020245.272290.8753439.372010-08-0209:59:33248020251.782280.4653196.162010-08-0210:13:32249020134.592274.9253066.142010-08-0210:18:24250020153.022268.6152917.562010-08-0210:26:36251020188.262260.8952735.082010-08-0210:38:33252020220.972251.8852521.142010-08-0210:46:54253020229.972242.4652296.372010-08-0210:58:37254020237.732232.8852066.652010-08-0211:05:34255020144.042226.9951924.852010-08-0211:26:38256020158.252220.7051772.962010-08-0211:58:37257020287.872209.1351492.322010-08-0212:09:46258020192.772201.4051303.952010-08-0212:36:44259020262.672190.9151047.202010-08-0212:55:32260020121.962186.1450930.042010-08-0213:18:34261020208.472177.9250727.532010-08-0213:26:42262020198.582170.0450532.692010-08-0213:38:24263020297.292158.4050243.622010-08-0213:45:3726402072.412155.5450172.372010-08-0213:55:34265020178.402148.5449997.622010-08-0214:18:36266020184.062141.3249816.822010-08-0214:27:3326702074.382138.4249744.052010-08-0214:48:24268020285.232127.3749465.962010-08-0214:56:38269020279.152116.5349191.942010-08-0215:05232110.1449029.862010-08-0215:16:38271020254.412100.3248779.992010-08-0215:27:5427202089.642096.8448691.212010-08-0215:48:34273020214.752088.6448481.562010-08-0215:56:39274020120.772084.0348363.422010-08-0216:23:44275020168.812077.5848197.792010-08-0216:32:36276020272.922067.1447928.872010-08-0216:54:32277020103.922063.1747826.342010-08-0217:38:34278020131.942058.1447696.242010-08-0217:45:26279020181.742051.3047518.962010-08-0218:08:37280020142.112045.9247379.232010-08-0219:24:24281020264.622035.9447119.352010-08-0219:48:54282020313.842024.0646808.882010-08-0220:08:3628302096.662020.4746714.832010-08-0220:13:24284020116.162016.1146600.462010-08-0220:43:34285020239.122007.0846363.092010-08-0307:01:55286020154.502001.3346211.592010-08-0307:47:25287020314.561989.5945901.472010-08-0308:03:51288020316.031977.8745590.802010-08-0308:15:35289020226.291969.4345366.432010-08-0308:33:26290020285.901958.8345083.882010-08-0308:53:45291020163.751952.8144923.052010-08-0309:04:33292020224.691944.4944700.352010-08-0309:27:36293020321.691932.6444382.332010-08-0310:02:12294020205.691925.0544178.122010-08-0310:57:23295020309.661913.7143872.312010-08-0311:22:45296020249.731904.5143623.602010-08-0311:35:36297020186.431897.6743438.332010-08-0312:31:53298020231.421889.2743210.412010-08-0313:37:51299020297.791878.4042914.842010-08-0313:57:25300020109.191874.4142806.162010-08-0314:21:51301020162.871868.4642643.932010-08-0314:36:23302020328.521856.5442318.322010-08-0314:47:55303020166.131850.5142153.302010-08-0315:14:34304020237.661841.9241917.872010-08-0315:34:26305020303.971830.9141615.552010-08-0315:58:50306020330.111818.9641286.702010-08-0316:17:44307020235.691810.4241051.262010-08-0317:37:1230802086.151807.3440966.262010-08-0317:44:5630902066.881804.9840901.092010-08-0318:07:55310020225.691796.8040675.042010-08-0318:14:46311020213.491789.1340462.792010-08-0318:35:43312020323.391777.5140140.742010-08-0319:07:24313020263.591768.0539878.122010-08-0320:42:51314020240.841759.4239638.212010-08-0408:21:22315020201.311752.1939437.002010-08-0408:32:26316020128.801747.5939308.872010-08-0408:41:46317020324.381735.9738984.852010-08-0408:53:32318020206.561728.5738778.252010-08-0409:21:2231902064.471726.2638713.712010-08-0409:55:27320020251.131717.3038463.222010-08-0410:11:28321020201.551710.1038261.742010-08-0410:34:2232202072.351707.5138189.222010-08-0410:51:26323020305.181696.6137883.792010-08-0411:15:52324020148.151691.3137735.152010-08-0411:31:55325020120.831687.0137614.492010-08-0411:45:2332602088.981683.8737526.352010-08-0412:01:22327020142.331678.7737383.132010-08-0412:17:27328020121.051674.4837262.602010-08-0412:51:12329020240.401665.9637023.082010-08-0413:53:2633002075.051663.3036948.262010-08-0414:11:25331020133.081658.5536814.612010-08-0415:01:42332020134.221653.7336678.942010-08-0415:25:28333020303.811642.9336374.742010-08-0416:44:42334020181.641636.4836192.942010-08-0417:41:33335020268.231626.9235923.332010-08-0418:15:44336020226.451618.8935696.732010-08-0418:31:22337020276.491609.0635419.172010-08-0419:13:2633802087.441605.9235330.472010-08-0419:31:45339020331.771594.1334997.302010-08-0419:44:23340020293.801583.6534700.982010-08-0419:56:4234102072.051581.1434629.992010-08-0420:31:21342020187.881574.4834441.582010-08-0506:55:34343020148.351569.2234292.752010-08-0507:26:32344020233.461560.9234057.832010-08-0507:35981556.6233936.102010-08-0507:50:32346020220.761548.8233715.252010-08-0508:05:34347020224.721540.7933487.842010-08-0508:18:32348020224.461532.7933261.232010-08-0508:30:56349020183.461526.3033077.382010-08-0508:44:2435002065.531523.9533010.802010-08-0508:55:34351020200.461516.8132808.512010-08-0509:06:27352020170.841510.7332636.232010-08-0509:17:3435302086.761507.6532548.962010-08-0509:28:28354020187.611501.0632362.232010-08-0509:40:39355020181.731494.5532177.832010-08-0509:56:24356020210.271487.0331964.752010-08-0510:15:56357020282.541476.9831680.002010-08-0510:25:32358020253.041467.9731424.742010-08-0510:42691457.2531121.102010-08-0510:55:5436002070.111454.7331049.732010-08-0511:06:30361020118.471450.5330930.792010-08-0511:45:24362020185.561443.9330743.922010-08-0512:03:31363020323.971432.3530416.132010-08-0512:15:34364020277.011422.4530136.012010-08-0512:26:35365020181.511415.9329951.592010-08-0512:48:22366020149.461410.6029800.872010-08-0513:15:3736702072.201408.0129727.642010-08-0513:36:24368020262.951398.6029461.682010-08-0513:45:55369020197.901391.5329261.942010-08-0514:02:32370020111.011387.5329148.982010-08-0514:15:23371020174.851381.2628971.962010-08-0514:39:00372020103.941377.5728867.812010-08-0514:55:32373020263.821368.0528599.242010-08-0515:17:37374020157.631362.3728439.092010-08-0515:44:33375020317.841350.9528117.302010-08-0516:05:2237602059.231348.7828056.192010-08-0516:16:34377020286.141338.4927766.552010-08-0516:35:38378020229.921330.2227533.962010-08-0517:06:23379020204.091322.8427326.552010-08-0517:15:34380020235.191314.3327087.572010-08-0519:39:25381020255.781305.0626827.492010-08-0521:05:0438202080.701302.1226745.052010-08-0607:46:57383020297.811291.3426443.032010-08-0608:04:3438402058.551289.2026383.112010-08-0608:26:52385020134.841284.2626244.872010-08-0608:37:24386020105.091280.4626138.582010-08-0608:44:47387020309.591269.1925823.642010-08-0609:06:5238802074.591266.5125748.822010-08-0609:15:37389020213.871258.7025530.912010-08-0609:36:59390020228.591250.3325297.632010-08-0609:59851241.8225060.732010-08-0610:36:47392020291.521231.1724764.662010-08-0610:53:4339302069.581228.6124693.572010-08-0611:15:35394020274.831218.4424411.402010-08-0611:26:27395020199.231211.1524209.412010-08-0611:55:53396020240.501202.2123962.042010-08-0612:16:55397020114.571198.0923848.162010-08-0612:30:51398020199.321190.6523642.722010-08-0612:46:22399020243.631181.6323394.002010-08-0612:58:50400020312.121170.0623075.572010-08-0613:13:57401020172.181163.6222898.622010-08-0613:23:2140202077.281160.7722820.382010-08-0613:34:4740302068.221158.1922749.602010-08-0613:46:51404020222.451149.9022522.382010-08-0613:57:21405020267.601139.9422249.892010-08-0614:06:57406020238.231131.0222006.332010-08-0614:17:56407020143.681125.5721857.742010-08-0614:36:33408020303.601114.1021545.602010-08-0614:47:22409020191.381106.9021350.062010-08-0614:56:37410020304.751095.3621037.342010-08-0615:07:5641102071.711092.6320963.482010-08-0615:16701088.5620853.452010-08-0615:25:50413020254.231078.8120590.322010-08-0615:36:38414020293.801067.6620290.192010-08-0615:49:37415020255.771057.8420026.552010-08-0615:56:57416020129.621052.8819893.652010-08-0616:05:5941702091.241049.3619799.432010-08-0616:16:00418020273.311038.8919519.722010-08-0616:31:51419020252.401029.0419257.312010-08-0616:56:11420020122.341024.3319132.092010-08-0617:01:52421020109.361020.0519018.442010-08-0617:22351014.8418880.292010-08-0617:36:50423020265.551004.5418607.782010-08-0617:58:37424020261.97994.3218338.222010-08-0618:16:57425020196.85986.6218135.682010-08-0618:25:30426020195.02978.9017933.112010-08-0618:36:33427020122.92974.0417805.832010-08-0620:12:20428020226.90965.0517570.932010-08-0620:44:53429020252.54955.0817311.222010-08-0707:10:26430020159.70948.6717144.712010-08-0708:11:21431020162.52942.2116977.272010-08-0708:22:16432020166.93935.5516805.032010-08-0708:40:24433020118.14930.7616681.412010-08-0708:50:03434020218.17922.0016455.872010-08-0709:00:26435020273.32910.9716172.902010-08-0709:12:27436020271.65899.8815889.562010-08-0709:22:49437020232.94890.4115648.562010-08-0709:35:28438020112.97885.8115531.812010-08-0709:50:16439020216.63876.9115306.542010-08-0710:05:2344002080.75873.5915222.712010-08-0710:17:4744102078.26870.3615141.262010-08-0710:30:2644202094.48866.4515042.812010-08-0710:45:4944302084.35862.9914955.812010-08-0711:10:06444020189.36855.1414758.912010-08-0711:30:2944502064.76852.4114690.592010-08-0712:13:56446020244.00842.1814435.272010-08-0712:25:22447020221.72832.9514205.872010-08-0712:37:54448020267.55821.6913927.292010-08-0712:51:26449020162.77814.7713756.792010-08-0713:00:35450020200.98806.2213546.882010-08-0713:21:21451020254.71795.3213280.492010-08-0713:34:43452020171.33787.9313100.672010-08-0713:42:21453020112.21783.1112983.732010-08-0714:10:16454020271.64771.3512699.592010-08-0714:32:5645502054.02768.9912642.772010-08-0714:40:34456020121.50763.7212516.142010-08-0715:00:26457020267.19751.9912235.512010-08-0715:12:29458020128.44746.3412100.962010-08-0715:24:43459020114.50741.2511980.092010-08-0715:30:5646002072.75738.0411904.032010-08-0716:20:16461020249.97726.8911640.872010-08-0716:35:2646202074.75723.5311561.892010-08-0716:51:28463020119.01718.2111437.142010-08-0717:03:54464020242.18707.2411181.082010-08