美的不同表現(xiàn)形式有不同的形容壯美俊美秀美柔美課件

數(shù)學美的幾種類型美的不同表現(xiàn)形式有不同的形容：壯美、俊美、秀美、柔美、優(yōu)美數(shù)學美也呈現(xiàn)多樣性，我們分為：簡潔美、對稱美、和諧美和奇異美。數(shù)學美的幾種類型美的不同表現(xiàn)形式有不同的形容：1一、簡潔美簡潔美是人們最欣賞的一種美，在藝術(shù)、建筑、徽標等的設(shè)計中最為常見。中國畫更是體現(xiàn)了簡潔美。數(shù)學以簡潔而著稱！一、簡潔美簡潔美是人們最欣賞的一種2大數(shù)和小數(shù)的表示：10221，286243，10-900數(shù)的表示：所有數(shù)均可由1,2,3,5,6,7,8,9,0表示.(稱為阿拉伯數(shù)字,但是由一、簡潔美大數(shù)和小數(shù)的表示：一、簡潔美3一、簡潔美印度人發(fā)明的.由阿拉伯人傳到西方.)形式上和位置上意義非凡,絕妙非常.實際上,0的出現(xiàn)大約要晚好幾百年.一、簡潔美印度人發(fā)明的.由阿拉伯人傳到西方.)形式上和位置上4一、簡潔美簡潔美的發(fā)展過程:235×4=940羅馬人的算法:CCXXXVIVCCCCCCCCXXXXXXXXXXXXVVVVDCCCCXX

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CMXL表示900表示40一、簡潔美簡潔美的發(fā)展過程:235×4=940CCXXXV5一、簡潔美十進制與二進制:十進制:8989=1×26+0×25+1×24+1×23+0×22+0×21+1×20二進制:1011001一、簡潔美十進制與二進制:十進制:896一、簡潔美十進制:符號多(10),表示上簡潔,方便人工運算,但系統(tǒng)復雜.二進制:符號少(2),表示上麻煩,方便機器運算,但系統(tǒng)簡單.二進制與最簡單的自然現(xiàn)象(信號的兩極)結(jié)合,造就了計算機！一、簡潔美十進制:符號多(10),表示上簡潔,方便人工運算,7一、簡潔美其它符號的簡潔美：未知量：x,y,z已知量：π,e,a,b,c函數(shù)關(guān)系：f(x)形狀符號：一、簡潔美其它符號的簡潔美：8一、簡潔美其它符號的簡潔美：運算符號：函數(shù)與邏輯：一、簡潔美其它符號的簡潔美：9二、對稱美幾何：點對稱、線對稱、面對稱、球?qū)ΨQ。球面被認為最完美！代數(shù)與函數(shù)論：共軛數(shù)（共軛復數(shù)、共軛空間）。運算：交換律、分配律，函數(shù)與反函數(shù)運算。二、對稱美幾何：點對稱、線對稱、面對稱、球?qū)ΨQ。球面被認為最10二項式定理的展開式中的系數(shù)構(gòu)成的楊輝三角形：112133114641151051二、對稱美二項式定理的展開式中的系數(shù)構(gòu)成的楊輝三角形：二、對稱美11命題變換中：命題逆命題否命題逆否命題二、對稱美命題變換中：二、對稱美12統(tǒng)一與和諧美是數(shù)學美的又一側(cè)面，它比對稱美具有廣泛性。以幾何與代數(shù)的和諧與統(tǒng)一的表現(xiàn)為例：行列式與矩陣三、和諧美統(tǒng)一與和諧美是數(shù)學美的又一側(cè)面，它比對稱美具有廣泛性。以幾何13平面上過點(x1,y1),(x2,y2)的直線方程:三、和諧美平面上過點(x1,y1),(x2,y2)的直線方程:三、14平面上過點(x1,y1),(x2,y2),(x3,y3)的圓方程:

三、和諧美平面上過點(x1,y1),(x2,y2),(x3,y15三、和諧美三、和諧美16三、和諧美三、和諧美17三、和諧美三、和諧美18四、奇異美奇異：稀罕、出呼意料但有引人入勝！四、奇異美奇異：稀罕、出呼意料但有引人入勝！19四、奇異美一、分數(shù)的奇異性四、奇異美一、分數(shù)的奇異性20四、奇異美四、奇異美21四、奇異美二、費馬猜想四、奇異美二、費馬猜想22四、奇異美四、奇異美23四、奇異美18世紀最偉大的數(shù)學家歐拉(Euler)證明了n=3,4時費馬定理成立；后來，有人證明當n<105是定理成立。20世紀80年代以來，取得了突破性的進展。1995年英國數(shù)學家AndrewWiles的108頁論文解決了費馬定理。他1996年獲wolf獎，1998年獲Fielz獎。四、奇異美18世紀最偉大的數(shù)學家歐拉(Euler)證明了n=24四、奇異美四、奇異美25四、奇異美四、奇異美26四、奇異美四、奇異美27四、奇異美四、奇異美28dLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjSgOdL9I6F3B0y)v%WkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUibJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%oWkThPeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G0z)v&s!pXmUiRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRf8G5D2A-x*u$qZnVkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+dLaI6F3C0y)v&s#pXlUiRfNcK9H5E229數(shù)學美的幾種類型美的不同表現(xiàn)形式有不同的形容：壯美、俊美、秀美、柔美、優(yōu)美數(shù)學美也呈現(xiàn)多樣性，我們分為：簡潔美、對稱美、和諧美和奇異美。數(shù)學美的幾種類型美的不同表現(xiàn)形式有不同的形容：30一、簡潔美簡潔美是人們最欣賞的一種美，在藝術(shù)、建筑、徽標等的設(shè)計中最為常見。中國畫更是體現(xiàn)了簡潔美。數(shù)學以簡潔而著稱！一、簡潔美簡潔美是人們最欣賞的一種31大數(shù)和小數(shù)的表示：10221，286243，10-900數(shù)的表示：所有數(shù)均可由1,2,3,5,6,7,8,9,0表示.(稱為阿拉伯數(shù)字,但是由一、簡潔美大數(shù)和小數(shù)的表示：一、簡潔美32一、簡潔美印度人發(fā)明的.由阿拉伯人傳到西方.)形式上和位置上意義非凡,絕妙非常.實際上,0的出現(xiàn)大約要晚好幾百年.一、簡潔美印度人發(fā)明的.由阿拉伯人傳到西方.)形式上和位置上33一、簡潔美簡潔美的發(fā)展過程:235×4=940羅馬人的算法:CCXXXVIVCCCCCCCCXXXXXXXXXXXXVVVVDCCCCXX

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CMXL表示900表示40一、簡潔美簡潔美的發(fā)展過程:235×4=940CCXXXV34一、簡潔美十進制與二進制:十進制:8989=1×26+0×25+1×24+1×23+0×22+0×21+1×20二進制:1011001一、簡潔美十進制與二進制:十進制:8935一、簡潔美十進制:符號多(10),表示上簡潔,方便人工運算,但系統(tǒng)復雜.二進制:符號少(2),表示上麻煩,方便機器運算,但系統(tǒng)簡單.二進制與最簡單的自然現(xiàn)象(信號的兩極)結(jié)合,造就了計算機！一、簡潔美十進制:符號多(10),表示上簡潔,方便人工運算,36一、簡潔美其它符號的簡潔美：未知量：x,y,z已知量：π,e,a,b,c函數(shù)關(guān)系：f(x)形狀符號：一、簡潔美其它符號的簡潔美：37一、簡潔美其它符號的簡潔美：運算符號：函數(shù)與邏輯：一、簡潔美其它符號的簡潔美：38二、對稱美幾何：點對稱、線對稱、面對稱、球?qū)ΨQ。球面被認為最完美！代數(shù)與函數(shù)論：共軛數(shù)（共軛復數(shù)、共軛空間）。運算：交換律、分配律，函數(shù)與反函數(shù)運算。二、對稱美幾何：點對稱、線對稱、面對稱、球?qū)ΨQ。球面被認為最39二項式定理的展開式中的系數(shù)構(gòu)成的楊輝三角形：112133114641151051二、對稱美二項式定理的展開式中的系數(shù)構(gòu)成的楊輝三角形：二、對稱美40命題變換中：命題逆命題否命題逆否命題二、對稱美命題變換中：二、對稱美41統(tǒng)一與和諧美是數(shù)學美的又一側(cè)面，它比對稱美具有廣泛性。以幾何與代數(shù)的和諧與統(tǒng)一的表現(xiàn)為例：行列式與矩陣三、和諧美統(tǒng)一與和諧美是數(shù)學美的又一側(cè)面，它比對稱美具有廣泛性。以幾何42平面上過點(x1,y1),(x2,y2)的直線方程:三、和諧美平面上過點(x1,y1),(x2,y2)的直線方程:三、43平面上過點(x1,y1),(x2,y2),(x3,y3)的圓方程:

三、和諧美平面上過點(x1,y1),(x2,y2),(x3,y44三、和諧美三、和諧美45三、和諧美三、和諧美46三、和諧美三、和諧美47四、奇異美奇異：稀罕、出呼意料但有引人入勝！四、奇異美奇異：稀罕、出呼意料但有引人入勝！48四、奇異美一、分數(shù)的奇異性四、奇異美一、分數(shù)的奇異性49四、奇異美四、奇異美50四、奇異美二、費馬猜想四、奇異美二、費馬猜想51四、奇異美四、奇異美52四、奇異美18世紀最偉大的數(shù)學家歐拉(Euler)證明了n=3,4時費馬定理成立；后來，有人證明當n<105是定理成立。20世紀80年代以來，取得了突破性的進展。1995年英國數(shù)學家AndrewWiles的108頁論文解決了費馬定理。他1996年獲wolf獎，1998年獲Fielz獎。四、奇異美18世紀最偉大的數(shù)學家歐拉(Euler)證明了n=53四、奇異美四、奇異美54四、奇異美四、奇異美55四、奇異美四、奇異美56四、奇異美四、奇異美57dLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjSgOdL9I6F3B0y)v%WkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(v%r#oWlTiQeNbK8G5D1A-x*t$qZnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVkSgPdLaI7F3C0z)v&s#pXmUiRfOcK9H5E2B+x(u%rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUibJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2A+x(u$rZoWkThPeMbJ7G4D1z-w&t!qYmVjSgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6E3B0y(v%s#oXlTiQfNbK8H5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*t$qZnVkShPdMaI7F4C0z)w&s!pXmUjRfOcL9H6E2B+y(u%r#oWlThQeNbJ8G5D1A-w*t$qYnVkSgPdMaI7F3C0z)v&s!pXmUiRfOcK9H6E2B+x(u%rZoWlThQeMbJ8G4D1A-w*t!qYnVjSgPdLaI6F3C0y)v&s#pXlUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ7G4D1z-w*t!qYmVjSgOdLaI6F3B0y)v%s#pXlUiQfNcK8H5E2A+x*u$rZnWkThPeMaJ7G4C1z-w&t!pYmVjRgOdL9I6F3B0y(v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQeNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0v%s#oXlUiQfNbK8H5D2A+x*u$qZnWkShPeMaJ7F4C1z)w&t!pYmUjRgOcL9I6E3B+y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnVkShPdMaJ7F4C0z)w&s!pYmUjRfOcL9H6E3B+y(u%r#oWlTiQeNbJ8G5D1A-x*t$qYnVkSgPdMaI7F4C0z)v&s!pXmUjRfOcK9H6E2B+y(u%rZoWlThQeNbJ8G4D1A-w*t$qYnVjSgPdLaI7F3C0y)v&s#pXmUiRfNcK9H5E2B+x(u$rZoWkThQeMbJ8G4D1z-w*t!qYnVjSgOdLaI6F3C0y)v%s#pXlUiRfNcK8H5E2A+x(u$rZnWkThPeMbJ7G4C1z-w&t!qYmVjRgOdL9I6F3B0y)v%s#oXlUiQfNcK8H5D2A+x*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I6E3B0y(v%r#oXlTiQfNbK8G5D2A-x*u$qZnWkShPdMaJ7F4C1z)w&s!pYmUjRgOcL9H6E3*u$rZnWkShPeMaJ7G4C1z)w&t!pYmVjRgOcL9I