LED限流电阻的大小计算
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LED限流电阻的大小计算
LED限流电阻的大小计算（原创）
&&&&&& 很多时候电路中都用LED做指示，这就涉及到限流电阻，这个怎么选取呢？
可以举个例子,贴片蓝色LED
datasheet上参数如下
要注意理解LED Datasheet上的参数。最重要的三个参数如下：
VF——正向电压。这个正向电压是在IF=20mA的情况下取的，而VF的取值范围为（2.8，3.5）。
&&&& 我们可以从正向电流和正向电压的关系曲线图中，根据所需要的的电流，而得知此IF下的正向压降，从而可以算出限流电阻的大小。
IF——正向电流。这个电流是不是任意选取呢？显然不可能，我们注意到LED参数中有一个DC Forward Current="30mA"这个参数，这个30mA是在最大额定值的情况下的值，显然我们平时使用时，不能让LED在、一直工作在最大额定值。所以IF≤30mA。再根据下图可以知道，电流大，LED发光强，但消耗的功率大。电流小，LED发光小，消耗的功率小。通常电路用LED是做指示用途，电路的总体功耗要控制，不能都消耗在指示灯上J 当然还要考虑电源的功率要满足后面电路功耗的要求，并且最好要有富裕。所以这个LED的正向电流我们选取20mA，正向压降为3.3V。
Peak Forward Current——最大电流峰值，只是指允许通过二极管的最大正向脉冲电流。发光二极管极限电流。（这是一个脉冲值，占空比1/10，0.1ms）。这不是说LED正向电流可以取这个值，这是一个极限电流，当超过这个极限时，LED可能会烧毁，所以一般电路都要求有限流电阻。
限流电阻可以根据下式计算：
选取IF=20mA，VF=3.3V，电源电压Vcc=5V:
&&&& 通常取个好一点的值（也就是相近阻值的电阻），R=100Ω。
&&&& 像LED这样的元件通常网上都找不到相对应的DataSheet，这时候可以根据经验，估算出限流电阻的大小。可以参考下面给出的参数：
一般这样：
红绿LED的电压一般是1.8~2.4V，蓝白是2.8~4.2V
3mmLED的额定电流1~10mA5mmLED的额定电流5~25mA
10mmLED的额定电流25~100mA
如果散热良好，超过额定范围也不会有太大问题。
极限参数 (Ta=25℃)&
光电参数 (Ta=25℃)
IF=20mA (v)
IF=20mA(ucd)
&&& 当然网上也有一些程序能直接计算限流电阻的大小，依据也是上述计算公式，也要知道正向压降或正向电流。
限流电阻计算
3） Current Limiting Resistor Calculator for Leds
4）ＬＥＤの抵抗値計算機
这是多个LED的结合，注意要相加
&&&& 七段数码管的限流电阻的计算也是同样原理。七段数码管是由7个完全相同的LED发光二极管组成的，所以也可以根据datasheet给出的正向压降和正向电流取值范围计算出限流电阻。
要注意的是七段数码管是共阴的（COM端接地），还是共阳的（COM端接电源）。上图给出了共阴七段数码管的管脚图，3、8管脚接地，其他管脚串接限流电阻在接驱动信号。
参考资料：
& 沈阳市方大半导体照明有限公司
深圳市永吉光电科技有限公司
Absolute Maximum Ratings
The rated values that must not be exceeded even one moment to maintain the life and reliability of the product.
Recommended Operating Conditions
These are rules to ensure proper operation. These conditions must be absolutely followed.
If any one of the recommended operating conditions is exceeded, operation of the IC cannot be guaranteed. Take a measure to use within the rated values or select other appropriate ICs.
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喜欢该文的人也喜欢LED指示灯不加限流电阻，用不了多久会挂哦。
半个硬件鸟人
37升虚标自来水极致的液体散热效果毫不惧怕广州高温！ 精确到0.1mm图纸设计激光打造DIY玩家版小机箱也有强散热！ 掌控瞬时灵感仅30分钟时间马上有！
LZ不会是现在才知道的吧?
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你们这些那些的逗比厂家就不要打电话骚扰我了
山高水远碧空静
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一个LED灯和一个限流电阻,这个限流电阻应该放在LED的前级还是后极,为什么呢
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不分前后级,只要串联在LED灯电路中即可.
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LED灯箱限流电阻发烫的问题解决
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现在的电源好多接上电阻都有点发烫！用电阻串并的方法虽说可以解决！但是现在夏天很容易着火！我是电子专业的！为了解决这个问题！我自己设计了一个电源！用1/4瓦的电阻都不会发烫！出去销售很有竞争力！因为你只要给客户说其他公司的LED灯箱要发烫！同样的价格客户一般都要用我的！而且1W或3W的电阻用得较多的话成本会增加！需要这方面资料的朋友请加QQ：。 电话： 亢先生
你用的那个电阻会不会容易坏？
晕，不给说，只做广告。
[whitepad]***400;200;400,200;;*0.75; m83,34 l72,34,72,35,71,35,70,36,70,39,71,40,71,41,72,42,74,43,76,45,80,47,83,47,83,46,84,45,84,33,81,33 e|********* m83,37 l82,37,82,26,83,25,83,22,85,20,86,18,87,18,88,17,88,16,90,16,91,15,114,15 e|********* m87,31 l87,29,88,28,88,27,89,26,90,26,92,24,93,24,95,23,98,22,99,22,101,21,102,20,103,20,104,19,104,18,106,18,108,16,109,16 e|********* m91,36 l91,34,93,32,93,30,94,29,95,27,97,26,98,25,100,24,101,23,102,23,104,22,105,21,106,21,108,20,110,18,112,18,112,17,113,17 e|********* m96,42 l91,42,89,41,89,40,86,40,86,50,88,52,89,52,90,53,92,54,98,54,99,53 e|********* m96,45 l94,45,92,47,92,50 e|********* m78,37 l74,37,74,39,76,41,76,42,80,42 e|********* m82,34 l80,34,80,35,79,35,79,36,77,38,77,44 e|********* m82,37 l81,38,81,40,80,41,80,44 e|********* m116,22 l119,22,120,23,121,23,121,24,122,24,122,25,123,25,123,27,124,28,124,31 e|********* m108,38 l107,38,105,40,104,42,104,46,105,47,109,47,110,46,110,45,111,45,112,44,112,41,109,38,108,38,108,37,107,37 e|********* m135,31 l125,31,125,32,124,32,124,33,123,33,123,34,122,34,122,37,124,39,126,40,127,41,130,41,132,40,132,39,133,39,134,37,135,36,135,30 e|********* m110,42 l118,42,119,41,121,40,122,39,122,38,123,38,124,37,124,36,125,36 e|********* m104,42 l94,42 e|********* m107,29 l109,29,110,28,110,27,112,27,113,26,113,25,115,25,115,24,116,23 e|********* m111,30 l113,30,113,29,114,29,115,28,115,27,116,27,116,26 e|********* m110,36 l111,35,111,34,112,34,114,33,114,32,117,32,117,31,118,30,120,30 e|********* m122,43 l127,43,129,45,128,46,127,46,127,47,125,49,120,49,119,50,115,50,115,46 e|********* m113,53 l117,53,118,54,122,54,123,53,123,52,124,52,125,51,126,51,126,58,125,59,124,59,124,60,119,60,119,59,118,58,117,58,116,57,116,56,115,56,115,55 e|********* m130,58 l130,61,129,61,128,62,128,63,127,63,126,64,126,65,122,65,122,66,118,66,117,65,117,64,116,64,116,63,115,63,114,62 e|********* m131,45 l132,45,135,48,136,48,136,54,135,54,133,56,133,57,132,57,132,58 e|********* m99,53 l99,60 e|********* m117,67 l116,68,106,68 e|********* m87,24 l88,24,89,23,89,22,90,22,90,21,91,20,92,20,92,19,93,19,93,18,105,18 e|********* m91,53 l90,53,90,55,91,57,91,59,92,59,92,60,93,61,93,62,94,63,94,64,95,64,96,65,96,66,97,66,97,67,98,67,99,68,100,68,102,69,104,69 104,70,107,70,109,71,110,71,111,72,119,72,120,71,120,70,121,70,121,69,122,68,122,66,123,65,123,63 e|********* m90,50 l90,51,89,53,87,55,87,59,86,59,85,60,84,62,83,62,83,63,82,63,82,64,81,64,78,67,77,67,75,68,73,70,72,70,72,71,71,72,70,72 69,73,68,73,68,74,67,75,66,75,66,76,65,76,65,77,64,78,64,87,63,87,62,88,61,90,59,90,59,91,58,92,57,92,57,93,55,93,55,95 58,98,60,99,61,99,62,100,69,100,70,101,71,101,72,102,73,102,73,103,74,103,74,104,79,104,80,103,81,101,82,100,82,99,83,97,84,96,84,95 85,94,85,93,86,92,86,91 e|********* m61,99 l61,107,62,108,62,113,63,114,63,115,64,116,64,117,65,117,67,119,69,119,71,120,74,120,75,121,86,121,88,122,91,122 e|********* m74,104 l74,108,75,109,75,110,78,113,86,113,87,112,87,111,88,111,88,109 e|********* m94,111 l95,110,95,109,96,109,98,108,98,107,99,107,99,106,100,105,101,105 e|********* m96,113 l96,112,97,112,97,111,99,111,99,110,100,109,102,109 e|********* m102,104 l102,101,101,100,100,98,99,97,99,86,100,84,100,79,101,79,101,78,103,76,105,76,105,75,106,74,108,74,110,72,111,72,112,71,116,71,116,72,118,74 119,76,120,76,120,77,122,77,123,76,125,75,129,71,130,71,130,70,131,70,131,69,135,69,136,70,138,70,139,71,141,71,142,72,144,72,146,74,148,75 149,76,149,77,150,78,151,80,151,81,152,82,152,118,151,119,150,121,149,122,147,123,146,124,145,124,143,125,142,126,141,126,139,127,139,128,133,128,131,130 125,130,123,128,121,128,119,126,117,125,116,125,115,124,114,124,113,123,113,122,112,122,109,119,108,119,108,118,104,114,104,108 e|********* m105,106 l106,106,107,105,108,105,110,104,111,103,112,103,114,102,115,101,116,101,118,100,119,99,125,99,127,97,134,97,136,95,140,95,142,94,142,93,146,93,149,90 e|********* m115,102 l116,102,117,103,118,103,121,106,123,106,125,108,127,108,128,109,130,110,131,111,132,113,134,113,135,115,136,115,138,116,139,117,141,118,142,119,143,119,145,121 146,121 e|********* m130,102 l131,102,132,104,134,105,135,106,136,108,138,109,139,109,141,110,143,112,145,112 e|********* m135,98 l136,98,137,99,138,99,141,102,143,103,144,104,145,104,147,105,147,106,148,106,149,107 e|********* m115,103 l115,99,117,97,118,95,119,94,119,92,120,91,121,91,121,89,122,89,122,87,123,86,124,86,124,85 e|********* m127,97 l127,93,128,92,128,90,130,88,130,87,131,87,131,86 e|********* m133,79 l130,79,130,85,131,86,131,87,132,88,133,88,133,89,134,90,135,90,137,88,137,86,138,85,138,78,136,76,131,76 e|********* m133,78 l134,78,135,77,135,76,136,75,136,70,137,70 e|********* m139,83 l139,82,140,82,140,81,141,81,142,79,143,79,145,77,146,77,146,76 e|********* m115,79 l114,79,114,80,112,82,112,84,110,86,110,96 e|********* m111,106 l112,107,112,109,114,110,114,111,115,113,117,114,118,116,119,117,121,118,124,121,126,122,127,123,127,124,128,124 e|********* m91,124 l91,123,92,122,93,122,94,121,98,121,100,119,101,119,102,118,102,117,103,116,103,111,101,109 e|********* m92,108 l93,109,93,112,94,113,94,114,95,114,95,115,96,115,97,114,97,113,98,113,98,111,99,111,99,110 e|********* m146,70 l146,69,147,68,147,66,149,64,149,56,150,55,150,53 e|********* m150,51 l150,50,149,49,148,49,148,48,147,48,147,47,146,47,146,46,145,45,144,45,144,44,143,44,143,43,142,43,140,41,140,40,139,38,138,38,138,34,143,34 143,35,144,35,144,36,146,36,147,35,147,34,148,34,148,33,149,33,151,31,151,30,152,30,152,29,161,29,161,30,162,30,162,31,163,31,163,32,164,32 164,39 e|********* m153,30 l154,30,154,32,153,32,152,34,152,35,151,36,150,36,150,37,149,37,149,38,150,39,151,39,152,38,152,37,153,37,154,36,155,36,155,35,156,34,157,34 157,32,158,32,158,30 e|********* m154,33 l153,33,153,34,152,35,152,41,153,42,158,42,160,40,161,40,161,39,162,39,165,36,165,34 e|********* m157,43 l156,43,156,47,157,48,159,49,163,49,165,47,166,47,167,45,167,44,168,43,168,39,165,36,164,36,164,35 e|********* m163,50 l163,55,162,56,161,58,161,59,160,60,159,60,159,77,158,77,156,79,156,80,154,80 e|********* m85,97 l85,98,84,98,83,99,83,107,84,108,84,109 e|********* m98,62 l99,62,99,63,100,63,100,66 e|********* m115,49 l114,49,113,50,113,51,112,51,110,53,110,58 e|150;138;40;41;;#363;**|*198;111;38;45;*****|*199;147;23;32;*****|*186;148;29;33;*****|*159;139;46;25;*****|*145;146;32;38;*****|*127;150;35;30;*****|*112;**34;*****|*194;118;5;29;*****|*232;147;31;33;*****|*217;146;25;32;*****|*113;156;9;8;*#333;***|*74;138;7;20;*;***|0;0;400;200;400,200;*** m65,168 l65,166,66,165,66,164,67,162,68,161,69,159,69,158,70,157,71,155,71,151,73,149,73,147,74,147,74,146,75,146,76,145,76,144,77,144,78,143,82,143 83,142,85,141,98,141,98,142,99,142,100,143,101,143,101,144,107,150,108,150,110,152,112,152,113,150,114,150,115,148,116,147,116,146,118,146,118,144,119,143 121,142,121,140,122,139,122,138,123,138,128,133,132,133,132,134,134,136,134,137,135,139,137,140,138,141,139,143,139,144,143,148,144,150,146,152,150,152,151,151 152,149,153,148,153,147,154,146,155,144,155,130 e|********* m78,143 l77,143,76,144,76,146,75,147,75,148,74,150,73,151,73,163,74,165,74,169,76,171,76,174,77,175,77,177,78,177,79,178 e|********* m79,139 l80,139 e|********* m89,139 l90,139,91,140,91,141,93,143,93,152,90,155,89,155,89,159,88,160,87,162,87,175 e|********* m78,178 l77,179,75,180,74,180,73,181,67,181 e|********* m86,174 l86,179,87,179,87,180,88,180,88,184,85,187,84,187,82,189,81,189,80,190,78,190,77,191 e|********* m64,179 l63,179,63,180,62,180,62,182,63,183,63,184,64,184,64,185,68,185,70,183,70,180 e|********* m68,181 l68,182,67,182,65,184,65,185,64,185,64,186,65,186,65,187,66,188,69,188,71,186,71,181 e|********* m70,186 l69,187,68,187,68,188,67,188,67,191,70,191,70,190,71,189,72,189,72,186 e|********* m71,190 l71,193,73,195,75,195,75,194,77,192,77,191,78,190,78,189 e|********* m88,123 l89,124,90,126,91,127,92,129,93,130,94,130,94,131,95,132,95,135,96,136,96,137,97,139,98,140,98,141 e|********* m82,131 l80,131,79,132,76,132,74,134,70,134,68,135,67,136,65,137,65,138,64,138,64,139,63,141,62,142,62,143,61,145,61,163,62,164,62,166,63,166,64,167 64,168 e|********* m68,168 l74,168 e|********* m86,168 l87,168,89,169,90,169,91,170,93,171,95,173,98,173,99,174,108,174,110,173,110,172,112,172 e|********* m109,154 l109,156,108,156,107,157,107,158,106,159,105,161,105,164,104,165,103,167,103,173,102,173,101,174,100,174,100,176,101,177,114,177 e|********* m130,131 l131,131,134,134,135,134,135,135,136,136,136,142,135,142,134,143,133,145,132,146,131,146,131,147,130,147,130,148,128,150,127,150,127,151,126,151,126,152 e|********* m98,124 l109,124,110,125 e|********* m100,127 l101,128,102,128,103,129,103,130,104,130,104,131,105,131,106,132,107,132,110,135 e|********* m108,135 l108,145,109,146,109,147,110,148,110,149,112,151,112,152 e|********* m91,58 l92,59,92,61,93,61,93,68,94,68,94,70,95,71,95,72,96,72,96,73,97,73,99,75,101,75 e|********* m261,155 l265,155,266,156,285,156,287,154,290,154,290,155,289,156,288,156,288,160,287,160,286,161,286,163,285,163,284,164,284,171,283,171,281,173,279,174,278,175,271,175 270,174,270,173,269,173,266,170,266,169,265,169,265,168,264,167,263,167,263,166,262,166,262,165 e|******#c60;** m262,157 l286,157,286,156,287,155,287,161,279,169,277,169,277,170,269,170,268,169,268,168,267,168,267,167,266,166,265,166,265,165,264,164 e|******#960;** m89,57 l88,57,86,59,85,59,85,60,84,60,84,61,82,63,81,63,81,64,80,64,80,65,78,67,77,67,77,68,76,68,76,69,73,72,72,72,72,73,69,76 68,76,68,77,67,77,66,78,65,80,65,81,64,82,64,88,63,88,61,90,59,91,58,91,58,92,55,92,55,93,54,93,53,94,53,95,56,98,62,98 63,97,63,96,70,96,73,99,73,101,74,101,74,102,75,102,75,103,79,103,80,102,80,101,81,101,83,99,83,97,84,97,84,95,85,94,85,91,86,90 86,88,87,87,87,88,85,90,85,104,88,107,95,107,96,106,96,105,98,105,99,104,99,101,97,99,97,98,96,97,95,97,95,90,96,90,96,87,97,87 97,85,98,85,98,83,99,83,99,82,100,82,100,81,101,81,101,80,102,79,102,78,101,77,100,77,100,76,97,73,96,73,96,72,95,72,95,71,93,69 92,69,92,68,91,68,91,66,90,66,89,65,89,60,90,60,90,59 e|********* m104,72 l107,72 e|********* m90,123 l90,124,95,124,96,123,96,122,97,122,98,121,98,120,99,120,99,119,101,119,101,118,104,115,105,115,105,113,106,114,106,115,107,115,107,116,108,117,109,117 109,118,110,118,110,119,111,119,111,120,112,121,113,121,113,122,114,122,114,123,115,123,115,124,116,125,114,125,113,126,99,126,98,125,98,124,94,124,92,122 91,122 e|******#3** m95,126 l94,126,93,127,91,127,89,129,87,129,86,130,84,131,83,132,69,132,68,133,67,133,66,134,64,134,61,137,60,137,60,160,61,162,61,163,62,163,62,166 63,167,65,167,66,166,66,161,67,160,67,159,68,157,68,155,69,155,69,154,70,153,70,152,71,152,74,149,74,148,75,148,78,145,81,145,83,143,93,143 94,142,94,141,104,141,106,143,106,147,107,147,107,148,108,149,108,148,107,146,106,145,106,144,104,142,104,141,102,139,102,138,101,137,101,136,99,134,99,133 98,133,98,132,97,132,97,126 e|********* m95,127 l100,132,100,134,101,134,101,135,102,135,102,137,103,138,103,140,104,141,104,142,105,142,105,143,107,145,107,146,108,147,108,149,109,149,109,150,112,150,112,149 115,146,116,146,116,145,118,143,120,143,121,142,121,141,122,141,122,140,123,140,125,138,125,137,128,134,128,133,129,133,130,132,131,132,132,131,132,130,135,130 137,132,137,143,136,143,135,144,135,145,134,145,134,146,133,146,133,147,132,147,132,148,131,148,130,149,141,149,142,148,142,138,141,137,140,137,140,135,139,134 138,134,138,132,137,132,136,131,136,130,124,130,121,127,121,126,120,126,120,125,118,125,117,124,117,123,112,123,111,124,109,124,108,125,105,125,105,126,100,126 e|******#09c;** m72,153 l72,167,70,169,65,169,65,167,66,167,66,166,67,165,67,164,68,164,69,163,69,162,70,162,70,160,71,160,71,157 e|********* m95,144 l95,152,94,153,93,153,93,154,92,154,91,155,91,156,90,156,90,157,89,157,89,158,88,158,88,168,90,170,98,170,99,169,99,168,100,168,101,167,101,165 102,165,102,162,103,162,103,161,105,159,105,158,106,158,106,157,108,157,109,156,109,155,110,155,110,150,109,149,108,149,108,148,107,147,106,147,106,146,105,146 105,145,104,145,104,144,101,144 e|******#c33;#c33;3.75; m63,139 l66,139 e|********* m75,140 l80,140 e|********* m66,144 l68,144 e|********* m61,155 l66,155 e|********* m90,134 l95,134 e|********* m84,140 l85,141 e|********* m107,129 l111,129 e|********* m109,136 l109,138,110,138,110,139,111,139,111,140 e|********* m115,132 l115,131,116,131,116,130,117,130 e|********* m119,135 l120,135 e|********* m111,143 l111,144,113,144 e|********* m98,129 l101,129,102,130,103,130 e|********* m136,144 l137,144,137,145,138,145,138,146 e|********* m83,132 l83,133,84,134,85,134,88,137 e|********* m65,84 l66,85,68,85,68,86,70,86 e|********* m71,76 l72,76,73,77 e|********* m82,67 l83,67,84,68,86,68,86,70,88,71,88,72,89,72 e|********* m81,75 l81,79,82,80,83,82,83,84 e|********* m77,87 l77,95 e|********* m88,87 l89,88,91,88,93,90 e|********* m92,79 l93,79,95,80,96,80,96,81,97,81 e|********* m125,70 l126,71 e|********* m118,69 l120,70,120,71,121,71,121,72,122,73 e|********* m92,99 l92,102 e|********* m104,118 l104,119,106,120,107,121,108,121 e|********* m101,122 l101,126 e|********* m81,88 l82,88,83,89,84,89,84,90,85,90 e|******;#333;2.25; m180,37 l181,36,183,35,184,35,185,34,187,33,188,33,194,27,196,27,197,25,198,25,200,24,200,23,201,23,203,21,211,21,211,22,213,24,213,37,212,39,211,40 211,45,210,47,209,48,209,52,207,54,206,56,206,57,205,58,203,58,201,57,200,55,198,54,198,53,197,51,196,50,196,46,198,45,199,43,200,43,200,42 201,41,205,41,207,40,208,39,213,39,214,41,215,42,215,48,214,50,213,51,213,52,212,54,211,55,210,57,210,58,209,59,207,63,199,71,197,72,196,74 194,76,195,76,196,77,229,77,231,76,234,73 e|********* m227,16 l234,16,235,17,237,18,238,18,239,19,241,20,242,20,244,22,245,22,245,23 e|********* m233,27 l238,27,240,28,241,29 e|********* m231,48 l232,48,233,47,234,45,236,44,240,40,241,38,242,37,244,36,245,34,246,33,246,32,247,32 e|********* m248,25 l248,24,249,23,249,21,251,20,252,19,254,18,255,17,256,15,258,14,259,14,264,9,268,9,269,10,271,10,271,11,272,12,272,13,274,15,274,21,271,24 269,25,268,25,267,26,265,27,263,27 e|********* m248,20 l248,39 e|********* m252,7 l252,8,253,9,253,23,254,25,254,27 e|********* m252,31 l252,30,255,27,256,27,258,26,260,24,261,24,261,23,262,23,263,22,264,22,264,23,265,23,265,24,266,26,267,27,267,34,265,36,264,38,264,39,263,40 262,42,260,44,257,44,255,42,254,42,254,37,256,36,256,35,257,35,258,34,265,34,267,36,268,36,268,37,269,37,270,39,271,40,271,41,272,41 e|********* m251,50 l251,52,250,53,249,55,248,56,248,57,247,58,247,66,249,67,249,69,251,71,253,71,255,73,257,73,258,74,260,75,262,75,264,76,272,76,272,75,273,74 e|********* m266,48 l266,49,267,50,267,60,265,62,264,64,264,65,263,66,262,68,262,69,260,70,259,72,257,73,256,75,255,75,253,76,251,78,249,78,248,79,245,79,243,77 e|********* m231,58 l236,58,238,56,281,56 e|********* m287,29 l294,29,296,28,298,26,300,26,302,24,304,24,305,22,307,20,307,19,308,17 e|********* m295,12 l295,13,297,17,297,21,299,25,299,28,300,29,301,31,301,35 e|********* m286,41 l287,41,289,39,291,38,292,37,294,36,295,36,296,35,298,34,299,34,300,33,302,32,314,32,316,34,316,40,315,42,313,43,312,45,310,47,309,47,307,49 305,49,305,50 e|********* m291,46 l292,46,294,47,295,47,296,49,298,50,299,50,301,52,301,53 e|********* m293,56 l294,56,296,57,297,57,298,58,298,59,301,59 e|********* m292,69 l292,68,293,67,295,67,297,65,299,64,301,64,303,63,304,62,305,62,307,61,310,60,311,59,313,59,313,58,314,58,315,57 e|********* m304,41 l304,54,302,56,301,58,301,60,300,62,299,63,298,65,298,66,296,67,295,69,294,70,293,72,291,72,290,74,289,75,287,76,285,78,284,78 e|********* m305,65 l305,66,306,68,306,69,307,70,308,72,309,73,309,75,311,77,311,78,312,78 e|********* m286,62 l288,64,288,65,290,66,291,67,292,67,294,69 e|********* m327,33 l328,32,330,32,332,31,334,29,337,29,338,28,340,27,341,26,344,26,345,25,347,24,349,22,351,22 e|********* m331,31 l331,45,330,46,329,48,328,49,328,52,326,54,326,57,324,59,324,61 e|********* m332,39 l333,40,333,61,334,62,334,63,335,63,337,61,337,59,339,57,339,55,340,55,341,53,341,51 e|********* m341,45 l341,46,343,47,344,49,345,50,347,51,348,55,350,56,351,57,352,59,353,60,354,62,355,63,355,64,356,64 e|********* m338,34 l339,34,340,35,342,36,343,38,346,41,347,41,351,45,353,45,354,47,356,48,357,48,358,49,359,49,361,51,362,51,365,54,366,54,367,56,369,57,374,62 376,62,376,63,377,63,377,64,378,64 e|********0.75; m114,186 l114,187,115,187,118,188,147,188,151,187,156,186,160,186,162,185,167,184,179,182,228,182,230,184,236,184,238,185,247,185,248,186,252,186,250,187,248,187,237,190 234,190,228,191,222,191,221,192,215,192,214,193,209,193,213,194,295,194,301,193,305,191,315,189,322,188,327,187,331,186,332,186,335,185,337,184,360,184,361,183 e|********* m249,182 l262,182,268,181,273,179,287,177,293,176,362,176,364,175,365,174,379,174 e|********* m309,167 l310,166,392,166 e|********* m7,155 l51,155,50,156,43,156,42,157,39,157,35,158,30,158,29,159,26,159,24,161,23,161,27,162,42,162,44,163,49,163,50,164,56,164,57,165 e|********* m1,182 l2,181,4,180,46,180,48,179,49,178,54,178,56,177,56,176,60,176 e|********* m88,188 l105,188,107,186,122,186 e|********* m217,114 l217,113,219,111,221,110,221,109,222,109,222,107,216,113,216,119 e|********* m231,155 l231,150,234,147,235,147,237,145,238,145,238,144,239,144,239,143,240,143 e|********* m258,159 l257,158,255,158,255,157,257,155,258,155,259,153,259,152,260,150,262,148,262,144 e|********* m116,163 l116,162,114,160,113,158,110,155,110,151 e|********* m146,161 l146,159,148,158,149,156,150,155,151,155,151,154,153,153,156,153 e|********* m172,163 l172,164,174,165,178,169,179,171,181,172,182,174,183,174,183,175,184,175 e|********* m175,150 l182,150,185,151,186,152,188,152,189,154,190,155,192,156,194,158 e|********* m195,168 l203,168,205,169,207,169,208,170 e|********* m222,168 l226,168,227,169,228,169,230,168,231,167 e|********* m245,166 l248,166,248,167,249,167,250,168,253,168,255,166,256,166 e|********* m220,122 l220,143 e|********* m201,128 l202,128,206,130,209,133,211,134,212,135,213,137,215,138,216,140,218,141,219,142,220,142,220,143,221,144 e|********* m225,119 l226,119,228,122,229,125,230,126,230,138,229,139,228,141,227,142,227,143,226,144,226,145,225,145 e|********* m213,120 l208,120,206,122,202,124,200,126,196,129,193,132,193,133,192,134,191,136,191,139 e|********* m118,175 l127,175,128,174,132,173,139,173,143,172,149,171,160,171,161,170,165,169 e|********* m118,163 l123,161,130,160,175,160,192,156,199,154,211,152,216,150,217,149 e|********* m163,186 l204,186,230,182,248,180,256,178,259,178 e|********* m205,143 l232,155,241,163,248,168,256,175,258,178,260,179,261,181 e|********* m206,141 l214,151,222,162,227,168,229,170,230,172,232,174 e|********* m184,131 l190,141,191,142,198,154,201,163,202,165,202,168 e|********* m182,136 l180,138,175,144,170,149,163,159,159,164,150,175,145,180,141,183,140,185,138,187,136,188 e|********* m273,159 l274,160,274,162,275,162,276,163,276,165 e|********* m270,162 l272,164 e|********* m265,162 l266,162,267,163,268,163,269,164,270,164 e|********* m278,155 l281,155,282,156,283,156,284,157,284,158 e|********* m279,156 l280,156,280,157,281,157 e|********* m275,154 l275,155,277,156,277,158,278,158,278,161 e|********* m269,156 l269,157,270,158,270,159,271,159,272,160 e|********* m266,160 l267,160,267,161,268,161,268,162 e|******#f30;** m26,9 l23,9,22,10,21,10,19,11,15,11,14,12,12,12,7,17,7,26,16,35,24,35,24,34,26,32,27,32,27,30,28,30,28,29,29,29,29,28,31,26 31,16,30,16,29,15,29,14,28,14,26,12,25,12,25,11,24,11,24,9,22,9 e|*******#c00;* m15,40 l16,41,16,60 e|********* m21,37 l22,37,23,38,24,40,24,41,25,43,26,44,26,45,27,47,28,48,28,49,29,51,30,52,31,54,31,55 e|********* m32,36 l34,36,35,37,37,38,38,38,40,39,41,40,42,40,46,44,47,44,48,45 e|********* m35,23 l36,24,38,24,40,26,49,26 e|********* m34,12 l34,11,35,11,37,10,38,10,39,9,41,8,46,8,48,6 e|********* m13,6 l12,5,12,3,10,1,10,0 e|********* m12,39 l10,40,7,43,7,44,6,45,5,47,3,48,2,50,1,51 e|********* m2,31 l1,31,0,32 e|******##* m7,46 l13,46,15,47,57,47,58,48,59,48,59,49,60,49,57,50,55,50,53,51,52,51,51,52,50,52,48,54,47,54,46,55,44,55,43,56,39,56,39,57 38,57,36,58,36,59,35,60,29,60,28,59,28,58,22,58,21,59,20,59,19,61,18,61,16,63,14,63,13,64,9,64,8,63,6,62,5,61,5,60 4,60,3,59,2,57,1,56,1,48,2,48,3,47,12,47 e|********* m25,41 l26,41,27,40,28,40,30,38,31,38,32,37,34,36,35,35,37,35,39,33,44,33,46,32,47,31,64,31,64,32,65,33,64,34,63,36,62,36,60,38 59,38,58,39,56,40,46,40,45,39,43,38,42,38,40,36,39,36 e|********* m269,103 l269,102,270,101,271,101,272,100,276,99,277,98,282,98,284,97,287,96,290,96,292,94,297,94,299,93,300,92,302,91,307,91,309,90,310,89,326,89,328,90 329,91,330,91,332,92,333,93,334,93,336,94,337,95,341,95,343,96,344,97,345,97,347,98,348,99,357,99,358,100,373,100,373,101,376,101,378,103,379,103 380,104,380,105,379,107,377,108,376,110,375,110,372,111,371,112,370,112,368,113,367,114,366,114,364,115,363,116,361,117,360,117,359,118,357,119,356,119,355,120 354,120,354,122,353,124,351,125,350,126,349,126,346,127,322,127,321,126,319,125,318,125,314,123,311,122,310,122,308,121,306,119,303,119,300,118,299,117,284,117 282,118,278,118,277,119,264,119,262,118,260,116,258,116,258,106,259,106,259,105,261,103,279,103 e|********* m370,71 l361,71,359,72,357,72,355,73,353,73,351,74,350,75,348,75,342,81,342,82,341,83,341,86,344,89,346,89,347,90,354,90,356,88,358,87,377,87,379,86 380,85,381,85,382,84,382,83,384,83,384,82,385,82,387,80,393,80,394,79,394,76,392,74,391,72,390,71,367,71 e[/whitepad]
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