绘制多个双向函数时不完整的线

Question

我正在使用Stata来绘制多个函数。在这种情况下，我正在绘制不同的Gompertz生存函数;一个适合年龄30，另一个适合年龄70。

首先，考虑30 - 岁：

twoway function Age_30=exp(-exp(-3.520509+0.0762475*-34.13089)* ///
0.0378969^(-1)*(exp(0.0378969*x)-1)), range (0 50) xtitl(Years) title(Gompertz)

正如您所知，scale参数有一个常量（-3.520509）和年龄（0.0762475），而形状有一个常量（0.0378969）。

年龄以均值为中心，这就是协变量为-34（64 - 34 = 30）的原因。

其次，考虑70 - 岁：

twoway function Age_70=exp(-exp(-3.520509+0.0762475*5.86911)* ///
0.0378969^(-1)*(exp(0.0378969*x)-1)), range(0 50) xtitle(Years) title(Gompertz)

这两个函数在独立时都可以正常显示。

然而，当我同时绘制两个曲线时，一条曲线不能完成到最后：

twoway function Age_30=exp(-exp(-3.520509+0.0762475*-34.13089)* ///
0.0378969^(-1)*(exp(0.0378969*x)-1)) || function ///
Age_70=exp(-exp(-3.520509+0.0762475*5.86911)*0.0378969^(-1)* /// 
(exp(0.0378969*x)-1)), range(0 50) xtitle(Years) title(Gompertz)

你能帮助我吗？

Answer 1

这是一个非常常见的问题，这是因为Stata仅为一个图形设置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CeDrRXwDjAXcMgTMEBAICeDrRXgDjAXcMgTIEBAICeDrRXQDjAXcMgTEEBAICeDrRXADjAXcMgTAEBAICeDrRWwDjAXcMgS8EBAICeDrRWgDjAXcMgS4EBAICeDrRWQDjAXcMgS0EBAICeDrRWADjAXcMgSwEBAICeDrRCwDjAXcMgRkEBAICeDrQmADQAVkMgRoEBAICeDrQowDUAV4MgRsEBAICeDrQpADUAV4MgRwEBAICeDrQpQDUAV4MgR0EBAICeDrQpgDUAV4MgR4EBAICeDrQpwDUAV4MgR8EBAICeDrQ9ADUAV4MgSAEBAICeDrQ9QDUAV4MgSEEBAICeDrQ9gDUAV4MgSIEBAICeDrQ9wDUAV4MgSMEBAICeDrQ+ADUAV4MgSQEBAICeDrQ+QDUAV4MgSUEBAICeDrQ+gDUAV4MgSYEBAICeDrQ+wDUAV4MgScEBAICeDrQ/ADUAV4MgSgEBAICeDrRBwDYAWMMgSkEBAICeDrRCADfAW0MgSoEBAICeDrRCQDjAXcMgSsEBAICeDrRCgDjAXcMgSwEBAICeDrRCwDjAXcMgS0EBAICeDrRWADjAXcMgS4EBAICeDrRWQDjAXcMgS8EBAICeDrRWgDjAXcMgTAEBAICeDrRWwDjAXcMgTEEBAICeDrRXADjAXcMgTIEBAICeDrRXQDjAXcMgTMEBAICeDrRXgDjAXcMgTQEBAICeDrRXwDjAXcMgTUEBAICeDrRYADjAXcMgTYEBAICeDrRawDnAXwMgTcEBAICeDrRbADuAYYMgTgEBAICeDrRbQDzAZAMgTkEBAICeDrRbwD1AZUMgToEBAICeDrRvAD1AZUMgTsEBAICeDrRvQD1AZUMgTwEBAICeDrRvgD1AZUMgT0EBAICeDrRvwD1AZUMgT4EBAICeDrRwAD1AZUMgT8EBAICeDrRwQD1AZUNAAAAMQEhAAPxA+ID0wPEA7UDpgOXA4gDeQNqA1sDTAM9Ay4DHwMQAwEC8gLjAtQCxQK2AqcCmAKJAnoCawJcAk0CPgIvAiACEQICAfMB5AHVAcYBtwGoAZkBigF7AWwBXQFOAT8BMAEhAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAADIhlBAQCAnhJftsDGwafDIhkBAQCAnhJenkDGwaVDIhjBAQCAnhJengDGgaLDIhiBAQCAnhJeisDGQaBDIhhBAQCAnhJeioDFwZ3DIhgBAQCAnhJeikDFgZtDIhfBAQCAnhJeigDFQZoDIheBAQCAnhJebQDFQZjDIhdBAQCAnhJebMDEwZZDIhcBAQCAnhJebIDEAZPDIhbBAQCAnhJebEDDgZFDIhaBAQCAnhJebADCwY7DIhZBAQCAnhJeUwDCwY2DIhYBAQCAnhJePkDCQYxDIhXBAQCAnhJePgDBAYnDIhWBAQCAnhJePYDAAYdDIhVBAQCAnhJeOkC/QYTDIhUBAQCAnhJeOgC+gYJDIhTBAQCAnhJeJsC9wX/DIhSBAQCAnhJeJoC9QX1DIhRBAQCAnhJeJkC8gXrDIhQBAQCAnhJeJUC8gXmDIhPBAQCAnhJeJQC7AXcDIhOBAQCAnhJeJMC5gXSDIhNBAQCAnhJVDMC4wXNDIhMBAQCAnhJVDIC4QXDDIhLBAQCAnhJVDEC3gW5DIhKBAQCAnhJVDAC3AWvDIhJBAQCAnhJU+MC2wWqDIhIBAQCAnhJU+IC2AWgDIhHBAQCAnhJU+EC0wWWDIhGBAQCAnhJU9QC0AWMDIhFBAQCAnhJU9MCzwWCDIhEBAQCAnhJU9ICzgV4DIhDBAQCAnhJU9ECzgVuDIhCBAQCAnhJU9ACzQVkDIhBBAQCAnhJU88CywVaDIhABAQCAnhJU84CyQVQDIg/BAQCAnhJU80CxgVGDIg+BAQCAnhJU8wCxAU8DIg9BAQCAnhJU38CwQUyDIg8BAQCAnhJU34CvgUoDIg7BAQCAnhJU30CvAUeDIg6BAQCAnhJU3ACuwUZDIg5BAQCAnhJU28CuQUPDIg4BAQCAnhJU24CtgUFDIg3BAQCAnhJU20CswT7DIg2BAQCAnhJU2wCsQTxDIg1BAQCAnhJU2sCrgTnDQAAADsAiwAD8QPiA9MDxAO1A6YDlwOIA3kDagNbA0wDPQMuAx8DEAMBAvIC4wLUAsUCtgKnApgCiQJ6AmsCXAJNAj4CLwIgAhECAgHzAeQB1QHGAbcBqAGZAYoBewFsAV0BTgE/ATABIQESAQMA9ADlANYAxwC4AKkAmgCLAAAAAAAAAAAAAAAAAAyBegQEAgJ4OtVEAU8CIQyBeQQEAgJ4OtVDAU8CIQyBeAQEAgJ4OtTzAU8CIQyBdwQEAgJ4OtTyAUkCFwyBdgQEAgJ4OtTxAUUCEgyBdQQEAgJ4OtSAAUMCDQyBdAQEAgJ4OtR/AUMCDQyBcwQEAgJ4OtR+AUMCDQyBcgQEAgJ4OtR9AUMCDQyBcQQEAgJ4OtR8AUMCDQyBcAQEAgJ4OtR7AUMCDQyBbwQEAgJ4OtR6AUMCDQyBbgQEAgJ4OtR5AUMCDQyBbQQEAgJ4OtR4AUMCDQyBbAQEAgJ4OtQrAUMCDQyBawQEAgJ4OtQqAUMCDQyBagQEAgJ4OtQpAT8CCAyBaQQEAgJ4OtPGAToCAwyBaAQEAgJ4OtPFATAB+QyBZwQEAgJ4OtL+ASkB7wyBZgQEAgJ4OtL9ASUB6gyBZQQEAgJ4OtL1AR4B4AyBZAQEAgJ4OtL0ARoB1gyBYwQEAgJ4OtLzARQBzAyBYgQEAgJ4OtLwARIBxwyBYQQEAgJ4OtLvARIBxwyBYAQEAgJ4OtLuARIBxwyBXwQEAgJ4OtLtARIBxwyBXgQEAgJ4OtLsARIBxwyBXQQEAgJ4OtLrARIBxwyBXAQEAgJ4OtLqARIBxwyBWwQEAgJ4OtLpARIBxwyBWgQEAgJ4OtLoAQ4BvQyBWQQEAgJ4OtKbAQoBuAyBWAQEAgJ4OtKaAQoBuAyBVwQEAgJ4OtKZAQoBuAyBVgQEAgJ4OtKYAQoBuAyBVQQEAgJ4OtKXAQoBuAyBVAQEAgJ4OtKWAQoBuAyBUwQEAgJ4OtKVAQoBuAyBUgQEAgJ4OtKRAQoBuAyBUQQEAgJ4OtKQAQYBrgyBUAQEAgJ4OtKPAP8BpAyBTwQEAgJ4OtKFAP0BnwyBTgQEAgJ4OtIoAPkBmgyBTQQEAgJ4OtInAPkBmgyBTAQEAgJ4OtImAPkBmgyBSwQEAgJ4OtIlAPkBmgyBSgQEAgJ4OtIkAPkBmgyBSQQEAgJ4OtIjAPkBmgyBSAQEAgJ4OtIiAPkBmgyBRwQEAgJ4OtIhAPkBmgyBRgQEAgJ4OtIgAPkBmgyBRQQEAgJ4OtHTAPkBmgyBRAQEAgJ4OtHSAPUBlQyBQwQEAgJ4OtHRAPUBlQyBQgQEAgJ4OtHEAPUBlQyBQQQEAgJ4OtHDAPUBlQyBQAQEAgJ4OtHCAPUBlQ0AAAA7AIsAA/ED4gPTA8QDtQOmA5cDiAN5A2oDWwNMAz0DLgMfAxADAQLyAuMC1ALFArYCpwKYAokCegJrAlwCTQI+Ai8CIAIRAgIB8wHkAdUBxgG3AagBmQGKAXsBbAFdAU4BPwEwASEBEgEDAPQA5QDWAMcAuACpAJoAiwAAAAAAAAAAAAAAAAAMgjUEBAICeDrW1AFbAjAMgjQEBAICeDrW0wFbAjAMgjMEBAICeDrW0gFbAjAMgjIEBAICeDrW0QFbAjAMgjEEBAICeDrW0AFbAjAMgjAEBAICeDrWgwFbAjAMgi8EBAICeDrWggFbAjAMgi4EBAICeDrWgQFbAjAMgi0EBAICeDrWgAFbAjAMgiwEBAICeDrWdAFbAjAMgisEBAICeDrWcwFbAjAMgioEBAICeDrWcgFbAjAMgikEBAICeDrWcQFbAjAMgigEBAICeDrWcAFbAjAMgicEBAICeDrWbwFbAjAMgiYEBAICeDrWbgFbAjAMgiUEBAICeDrWbQFbAjAMgiQEBAICeDrWbAFbAjAMgiMEBAICeDrWHwFbAjAMgiIEBAICeDrWHgFbAjAMgiEEBAICeDrWHQFbAjAMgiAEBAICeDrWHAFbAjAMgh8EBAICeDrWGwFbAjAMgh4EBAICeDrWGgFbAjAMgh0EBAICeDrWEAFbAjAMghwEBAICeDrWDwFbAjAMghsEBAICeDrWDgFbAjAMghoEBAICeDrWDQFbAjAMghkEBAICeDrWDAFbAjAMghgEBAICeDrWCwFbAjAMghcEBAICeDrWCgFbAjAMghYEBAICeDrWCQFbAjAMghUEBAICeDrWCAFbAjAMghQEBAICeDrVuwFbAjAMghMEBAICeDrVugFbAjAMghIEBAICeDrVuQFbAjAMghEEBAICeDrVuAFbAjAMghAEBAICeDrVtwFXAisMgg8EBAICeDrVtgFPAiEMgg4EBAICeDrVtQFPAiEMgg0EBAICeDrVtAFPAiEMggwEBAICeDrVrAFPAiEMggsEBAICeDrVqwFPAiEMggoEBAICeDrVqgFPAiEMggkEBAICeDrVqQFPAiEMgggEBAICeDrVqAFPAiEMggcEBAICeDrVpwFPAiEMggYEBAICeDrVpgFPAiEMggUEBAICeDrVpQFPAiEMggQEBAICeDrVpAFPAiEMggMEBAICeDrVVwFPAiEMggIEBAICeDrVVgFPAiEMggEEBAICeDrVVQFPAiEMggAEBAICeDrVVAFPAiEMgX8EBAICeDrVUwFPAiEMgX4EBAICeDrVSAFPAiEMgX0EBAICeDrVRwFPAiEMgXwEBAICeDrVRgFPAiEMgXsEBAICeDrVRQFPAiEKAAAASgEcAAEcASYBMAE6AUQBTgFYAWIBbAF2AYABigGUAZ4BqAGyAbwBxgHQAdoB5AHuAfgCAgIMAhYCIAIqAjQCPgJIAlICXAJmAnACegKEAo4CmAKiAqwCtgLAAsoC1ALeAugC8gL8AwYDEAMaAyQDLgM4A0IDTANWA2ADagN0A34DiAOSA5wDpgOwA7oDxAPOA9gD4gPsA/YDnAOmA7ADugPEA84D2APiA+wD9gAAAAAAAAAACQMEAng61HgA7QkDBAJ4OtR5AO4JAwQCeDrUegDvCQMEAng61HsA8AkDBAJ4OtR8APEJAwQCeDrUfQDyCQMEAng61H4A8wkDBAJ4OtR/APQJAwQCeDrUgAD1CQMEAng61PEA9gkDBAJ4OtR4AO0JAwQCeDrUeQDuCQMEAng61HoA7wkDBAJ4OtR7APAJAwQCeDrUfADxCQMEAng61H0A8gkDBAJ4OtR+APMJAwQCeDrUfwD0CQMEAng61IAA9QkDBAJ4OtTxAPYJAwQCeDrU8gD3CQMEAng61PMA+AkDBAJ4OtVDAPkJAwQCeDrVRAD6CQMEAng61UUA+wkDBAJ4OtVGAPwJAwQCeDrVRwD9CQMEAng61UgA/gkDBAJ4OtVTAP8JAwQCeDrVVAEACQMEAng61VUBAQkDBAJ4OtVWAQIJAwQCeDrVVwEDCQMEAng61aQBBAkDBAJ4OtWlAQUJAwQCeDrVpgEGCQMEAng61acBBwkDBAJ4OtWoAQgJAwQCeDrVqQEJCQMEAng61aoBCgkDBAJ4OtWrAQsJAwQCeDrVrAEMCQMEAng61bQBDQkDBAJ4OtW1AQ4JAwQCeDrVtgEPCQMEAng61bcBEAkDBAJ4OtW4AREJAwQCeDrVuQESCQMEAng61boBEwkDBAJ4OtW7ARQJAwQCeDrWCAEVCQMEAng61gkBFgkDBAJ4OtYKARcJAwQCeDrWCwEYCQMEAng61gwBGQkDBAJ4OtYNARoJAwQCeDrWDgEbCQMEAng61g8BHAkDBAJ4OtYQAR0JAwQCeDrWGgEeCQMEAng61hsBHwkDBAJ4OtYcASAJAwQCeDrWHQEhCQMEAng61h4BIgkDBAJ4OtYfASMJAwQCeDrWbAEkCQMEAng61m0BJQkDBAJ4OtZuASYJAwQCeDrWbwEnCQMEAng61nABKAkDBAJ4OtZxASkJAwQCeDrWcgEqCQMEAng61nMBKwkDBAJ4OtZ0ASwJAwQCeDrWgAEtCQMEAng61oEBLgkDBAJ4OtaCAS8JAwQCeDrWgwEwCQMEAng61tABMQkDBAJ4OtbRATIJAwQCeDrW0gEzCQMEAng61tMBNAkDBAJ4OtbUATUJAwQCeDrW1QE2DQAAADsAiwAD8QPiA9MDxAO1A6YDlwOIA3kDagNbA0wDPQMuAx8DEAMBAvIC4wLUAsUCtgKnApgCiQJ6AmsCXAJNAj4CLwIgAhECAgHzAeQB1QHGAbcBqAGZAYoBewFsAV0BTgE/ATABIQESAQMA9ADlANYAxwC4AKkAmgCLAAAAAAAAAAAAAAAAAAyCcAQEAgJ4OthoAVsCMAyCbwQEAgJ4OthnAVsCMAyCbgQEAgJ4OthmAVsCMAyCbQQEAgJ4OthlAVsCMAyCbAQEAgJ4OthkAVsCMAyCawQEAgJ4OthjAVsCMAyCagQEAgJ4OthiAVsCMAyCaQQEAgJ4OthhAVsCMAyCaAQEAgJ4OthgAVsCMAyCZwQEAgJ4OtgTAVsCMAyCZgQEAgJ4OtgSAVsCMAyCZQQEAgJ4OtgRAVsCMAyCZAQEAgJ4OtgQAVsCMAyCYwQEAgJ4OtgPAVsCMAyCYgQEAgJ4OtgEAVsCMAyCYQQEAgJ4OtgDAVsCMAyCYAQEAgJ4OtgCAVsCMAyCXwQEAgJ4OtgBAVsCMAyCXgQEAgJ4OtgAAVsCMAyCXQQEAgJ4Otf/AVsCMAyCXAQEAgJ4Otf+AVsCMAyCWwQEAgJ4Otf9AVsCMAyCWgQEAgJ4Otf8AVsCMAyCWQQEAgJ4OtevAVsCMAyCWAQEAgJ4OteuAVsCMAyCVwQEAgJ4OtetAVsCMAyCVgQEAgJ4OtesAVsCMAyCVQQEAgJ4OterAVsCMAyCVAQEAgJ4OtegAVsCMAyCUwQEAgJ4OtefAVsCMAyCUgQEAgJ4OteeAVsCMAyCUQQEAgJ4OtedAVsCMAyCUAQEAgJ4OtecAVsCMAyCTwQEAgJ4OtebAVsCMAyCTgQEAgJ4OteaAVsCMAyCTQQEAgJ4OteZAVsCMAyCTAQEAgJ4OteYAVsCMAyCSwQEAgJ4OtdLAVsCMAyCSgQEAgJ4OtdKAVsCMAyCSQQEAgJ4OtdJAVsCMAyCSAQEAgJ4OtdIAVsCMAyCRwQEAgJ4OtdHAVsCMAyCRgQEAgJ4Otc8AVsCMAyCRQQEAgJ4Otc7AVsCMAyCRAQEAgJ4Otc6AVsCMAyCQwQEAgJ4Otc5AVsCMAyCQgQEAgJ4Otc4AVsCMAyCQQQEAgJ4Otc3AVsCMAyCQAQEAgJ4Otc2AVsCMAyCPwQEAgJ4Otc1AVsCMAyCPgQEAgJ4Otc0AVsCMAyCPQQEAgJ4OtbnAVsCMAyCPAQEAgJ4OtbmAVsCMAyCOwQEAgJ4OtblAVsCMAyCOgQEAgJ4OtbkAVsCMAyCOQQEAgJ4OtbYAVsCMAyCOAQEAgJ4OtbXAVsCMAyCNwQEAgJ4OtbWAVsCMAyCNgQEAgJ4OtbVAVsCMAoAAABKARwAARwBJgEwAToBRAFOAVgBYgFsAXYBgAGKAZQBngGoAbIBvAHGAdAB2gHkAe4B+AICAgwCFgIgAioCNAI+AkgCUgJcAmYCcAJ6AoQCjgKYAqICrAK2AsACygLUAt4C6ALyAvwDBgMQAxoDJAMuAzgDQgNMA1YDYANqA3QDfgOIA5IDnAOmA7ADugPEA84D2APiA+wD9gOcA6YDsAO6A8QDzgPYA+ID7AP2AAAAAAAAAAAJAwQCeDrW1wE4CQMEAng61tgBOQkDBAJ4OtbkAToJAwQCeDrW5QE7CQMEAng61uYBPAkDBAJ4OtbnAT0JAwQCeDrXNAE+CQMEAng61zUBPwkDBAJ4Otc2AUAJAwQCeDrXNwFBCQMEAng61tcBOAkDBAJ4OtbYATkJAwQCeDrW5AE6CQMEAng61uUBOwkDBAJ4OtbmATwJAwQCeDrW5wE9CQMEAng61zQBPgkDBAJ4Otc1AT8JAwQCeDrXNgFACQMEAng61zcBQQkDBAJ4Otc4AUIJAwQCeDrXOQFDCQMEAng61zoBRAkDBAJ4Otc7AUUJAwQCeDrXPAFGCQMEAng610cBRwkDBAJ4OtdIAUgJAwQCeDrXSQFJCQMEAng610oBSgkDBAJ4OtdLAUsJAwQCeDrXmAFMCQMEAng615kBTQkDBAJ4OteaAU4JAwQCeDrXmwFPCQMEAng615wBUAkDBAJ4OtedAVEJAwQCeDrXngFSCQMEAng6158BUwkDBAJ4OtegAVQJAwQCeDrXqwFVCQMEAng616wBVgkDBAJ4OtetAVcJAwQCeDrXrgFYCQMEAng6168BWQkDBAJ4Otf8AVoJAwQCeDrX/QFbCQMEAng61/4BXAkDBAJ4Otf/AV0JAwQCeDrYAAFeCQMEAng62AEBXwkDBAJ4OtgCAWAJAwQCeDrYAwFhCQMEAng62AQBYgkDBAJ4OtgPAWMJAwQCeDrYEAFkCQMEAng62BEBZQkDBAJ4OtgSAWYJAwQCeDrYEwFnCQMEAng62GABaAkDBAJ4OthhAWkJAwQCeDrYYgFqCQMEAng62GMBawkDBAJ4OthkAWwJAwQCeDrYZQFtCQMEAng62GYBbgkDBAJ4OthnAW8JAwQCeDrYaAFwCQMEAng62HMBcQkDBAJ4Oth0AXIJAwQCeDrYdQFzCQMEAng62HYBdAkDBAJ4Oth3AXUJAwQCeDrYxAF2CQMEAng62MUBdwkDBAJ4OtjGAXgJAwQCeDrYxwF5CQMEAng62MgBegkDBAJ4OtjJAXsJAwQCeDrYygF8CQMEAng62MsBfQkDBAJ4OtjMAX4JAwQCeDrY2wF/CQMEAng62SgBgAkDBAJ4OtkpAYENAAAAOwCLAAPxA+ID0wPEA7UDpgOXA4gDeQNqA1sDTAM9Ay4DHwMQAwEC8gLjAtQCxQK2AqcCmAKJAnoCawJcAk0CPgIvAiACEQICAfMB5AHVAcYBtwGoAZkBigF7AWwBXQFOAT8BMAEhARIBAwD0AOUA1gDHALgAqQCaAIsAAAAAAAAAAAAAAAAADIMrBAQCAnhIZe4BnQKFDIMqBAQCAnhIZe0BnQKFDIMpBAQCAnhIZewBnQKFDIMoBAQCAnhIZesBnQKFDIMnBAQCAnhIZeoBnQKFDIMmBAQCAnhIZekBnQKFDIMlBAQCAnhIZG4BnQKFDIMkBAQCAnhIY/cBmQKADIMjBAQCAng62rkBjwJ2DIMiBAQCAng62lsBjAJxDIMhBAQCAng62loBjAJxDIMgBAQCAng62lkBjAJxDIMfBAQCAng62lgBjAJxDIMeBAQCAng62lcBjAJxDIMdBAQCAng62gcBjAJxDIMcBAQCAng62gYBhwJsDIMbBAQCAng62gIBgQJiDIMaBAQCAng62gEBeAJYDIMZBAQCAng62gABcwJTDIMYBAQCAng62fgBcAJODIMXBAQCAng62fQBcAJODIMWBAQCAng62fMBcAJODIMVBAQCAng62fIBcAJODIMUBAQCAng62fEBcAJODIMTBAQCAng62fABcAJODIMSBAQCAng62aMBcAJODIMRBAQCAng62aIBcAJODIMQBAQCAng62aEBawJEDIMPBAQCAng62aABYwI6DIMOBAQCAng62Z8BXwI1DIMNBAQCAng62Y8BWwIwDIMMBAQCAng62Y4BWwIwDIMLBAQCAng62Y0BWwIwDIMKBAQCAng62YwBWwIwDIMJBAQCAng62T8BWwIwDIMIBAQCAng62TABWwIwDIMHBAQCAng62S8BWwIwDIMGBAQCAng62S4BWwIwDIMFBAQCAng62S0BWwIwDIMEBAQCAng62SwBWwIwDIMDBAQCAng62SsBWwIwDIMCBAQCAng62SoBWwIwDIMBBAQCAng62SkBWwIwDIMABAQCAng62SgBWwIwDIJ/BAQCAng62NsBWwIwDIJ+BAQCAng62MwBWwIwDIJ9BAQCAng62MsBWwIwDIJ8BAQCAng62MoBWwIwDIJ7BAQCAng62MkBWwIwDIJ6BAQCAng62MgBWwIwDIJ5BAQCAng62McBWwIwDIJ4BAQCAng62MYBWwIwDIJ3BAQCAng62MUBWwIwDIJ2BAQCAng62MQBWwIwDIJ1BAQCAng62HcBWwIwDIJ0BAQCAng62HYBWwIwDIJzBAQCAng62HUBWwIwDIJyBAQCAng62HQBWwIwDIJxBAQCAng62HMBWwIwCgAAAEoBHAABHAEmATABOgFEAU4BWAFiAWwBdgGAAYoBlAGeAagBsgG8AcYB0AHaAeQB7gH4AgICDAIWAiACKgI0Aj4CSAJSAlwCZgJwAnoChAKOApgCogKsArYCwALKAtQC3gLoAvIC/AMGAxADGgMkAy4DOANCA0wDVgNgA2oDdAN+A4gDkgOcA6YDsAO6A8QDzgPYA+ID7AP2A5wDpgOwA7oDxAPOA9gD4gPsA/YAAAAAAAAAAAkDBAJ4OtkrAYMJAwQCeDrZLAGECQMEAng62S0BhQkDBAJ4OtkuAYYJAwQCeDrZLwGHCQMEAng62TABiAkDBAJ4Otk/AYkJAwQCeDrZjAGKCQMEAng62Y0BiwkDBAJ4OtmOAYwJAwQCeDrZKwGDCQMEAng62SwBhAkDBAJ4OtktAYUJAwQCeDrZLgGGCQMEAng62S8BhwkDBAJ4OtkwAYgJAwQCeDrZPwGJCQMEAng62YwBigkDBAJ4OtmNAYsJAwQCeDrZjgGMCQMEAng62Y8BjQkDBAJ4OtmfAY4JAwQCeDrZoAGPCQMEAng62aEBkAkDBAJ4OtmiAZEJAwQCeDrZowGSCQMEAng62fABkwkDBAJ4OtnxAZQJAwQCeDrZ8gGVCQMEAng62fMBlgkDBAJ4Otn0AZcJAwQCeDrZ+AGYCQMEAng62gABmQkDBAJ4OtoBAZoJAwQCeDraAgGbCQMEAng62gYBnAkDBAJ4OtoHAZ0JAwQCeDraVwGeCQMEAng62lgBnwkDBAJ4OtpZAaAJAwQCeDraWgGhCQMEAng62lsBogkDBAJ4Otq5AaMJAwQCeEhj9wGkCQMEAnhIZG4BpQkDBAJ4SGXpAaYJAwQCeEhl6gGnCQMEAnhIZesBqAkDBAJ4SGXsAakJAwQCeEhl7QGqCQMEAnhIZe4BqwkDBAJ4SGXvAawJAwQCeEhl8AGtCQMEAnhIZxUBrgkDBAJ4SGcWAa8JAwQCeEhnFwGwCQMEAnhIZxgBsQkDBAJ4SGcZAbIJAwQCeEhnGgGzCQMEAnhIZxsBtAkDBAJ4SGccAbUJAwQCeEhnKAG2CQMEAnhIZykBtwkDBAJ4SGcqAbgJAwQCeEhnKwG5CQMEAnhIZ3gBugkDBAJ4SGd5AbsJAwQCeEhnegG8CQMEAnhIZ3sBvQkDBAJ4SGd8Ab4JAwQCeEhnfQG/CQMEAnhIZ34BwAkDBAJ4SGd/AcEJAwQCeEhngAHCCQMEAnhIZ+IBwwkDBAJ4SGfjAcQJAwQCeEhn5wHFCQMEAnhIZ+8BxgkDBAJ4SGfwAccJAwQCeEhn8QHICQMEAnhIZ/IByQkDBAJ4SGfzAcoJAwQCeEhoQAHLCQMEAnhIaEEBzA0AAAA7AIsAA/ED4gPTA8QDtQOmA5cDiAN5A2oDWwNMAz0DLgMfAxADAQLyAuMC1ALFArYCpwKYAokCegJrAlwCTQI+Ai8CIAIRAgIB8wHkAdUBxgG3AagBmQGKAXsBbAFdAU4BPwEwASEBEgEDAPQA5QDWAMcAuACpAJoAiwAAAAAAAAAAAAAAAAAMg2YEBAICeEhpDwGdAoUMg2UEBAICeEhpDgGdAoUMg2QEBAICeEhpDQGdAoUMg2MEBAICeEhpDAGdAoUMg2IEBAICeEhpCwGdAoUMg2EEBAICeEhpCgGdAoUMg2AEBAICeEhpCQGdAoUMg18EBAICeEhpCAGdAoUMg14EBAICeEhouwGdAoUMg10EBAICeEhougGdAoUMg1wEBAICeEhouQGdAoUMg1sEBAICeEhouAGdAoUMg1oEBAICeEhotwGdAoUMg1kEBAICeEhorAGdAoUMg1gEBAICeEhoqwGdAoUMg1cEBAICeEhoqgGdAoUMg1YEBAICeEhoqQGdAoUMg1UEBAICeEhoqAGdAoUMg1QEBAICeEhopwGdAoUMg1MEBAICeEhopgGdAoUMg1IEBAICeEhoRwGdAoUMg1EEBAICeEhoRgGdAoUMg1AEBAICeEhoRQGdAoUMg08EBAICeEhoRAGdAoUMg04EBAICeEhoQwGdAoUMg00EBAICeEhoQgGdAoUMg0wEBAICeEhoQQGdAoUMg0sEBAICeEhoQAGdAoUMg0oEBAICeEhn8wGdAoUMg0kEBAICeEhn8gGdAoUMg0gEBAICeEhn8QGdAoUMg0cEBAICeEhn8AGdAoUMg0YEBAICeEhn7wGdAoUMg0UEBAICeEhn5wGdAoUMg0QEBAICeEhn4wGdAoUMg0MEBAICeEhn4gGdAoUMg0IEBAICeEhngAGdAoUMg0EEBAICeEhnfwGdAoUMg0AEBAICeEhnfgGdAoUMgz8EBAICeEhnfQGdAoUMgz4EBAICeEhnfAGdAoUMgz0EBAICeEhnewGdAoUMgzwEBAICeEhnegGdAoUMgzsEBAICeEhneQGdAoUMgzoEBAICeEhneAGdAoUMgzkEBAICeEhnKwGdAoUMgzgEBAICeEhnKgGdAoUMgzcEBAICeEhnKQGdAoUMgzYEBAICeEhnKAGdAoUMgzUEBAICeEhnHAGdAoUMgzQEBAICeEhnGwGdAoUMgzMEBAICeEhnGgGdAoUMgzIEBAICeEhnGQGdAoUMgzEEBAICeEhnGAGdAoUMgzAEBAICeEhnFwGdAoUMgy8EBAICeEhnFgGdAoUMgy4EBAICeEhnFQGdAoUMgy0EBAICeEhl8AGdAoUMgywEBAICeEhl7wGdAoUNAAAAIgICAAICAhECIAIvAj4CTQJcAmsCegKJApgCpwK2AsUC1ALjAvIDAQMQAx8DLgM9A0wDWwNqA3kDiAOXA6YDtQPEA9MD4gPxAfMB5AHVAcYBtwGoAZkBigF7AWwBXQFOAT8BMAEhARIBAwD0AOUA1gDHALgAqQCaAIsAAAAAAAAAAAAAAAAADIQhBAQCAnhIbucBnQKFDIQgBAQCAnhIbuYBnQKFDIQfBAQCAnhIbuUBnQKFDIQeBAQCAnhIbuQBnQKFDIQdBAQCAnhIbpcBnQKFDIQcBAQCAnhIbocBnQKFDIQbBAQCAnhIboYBnQKFDIQaBAQCAnhIbiMBnQKFDIQZBAQCAnhIbiIBnQKFDIQYBAQCAnhIbiEBnQKFDIQXBAQCAnhIbiABnQKFDIQWBAQCAnhIbh8BnQKFDIQVBAQCAnhIbh4BnQKFDIQUBAQCAnhIbh0BnQKFDIQTBAQCAnhIawQBnQKFDIQSBAQCAnhIawMBnQKFDIQRBAQCAnhIawIBnQKFDIQQBAQCAnhIawEBnQKFDIQPBAQCAnhIawABnQKFDIQOBAQCAnhIav8BnQKFDIQNBAQCAnhIav4BnQKFDIQMBAQCAnhIav0BnQKFDIQLBAQCAnhIavwBnQKFDIQKBAQCAnhIaq8BnQKFDIQJBAQCAnhIaq4BnQKFDIQABAQCAnhIapsBnQKFDIQBBAQCAnhIapwBnQKFDIQCBAQCAnhIap0BnQKFDIQDBAQCAnhIap4BnQKFDIQEBAQCAnhIap8BnQKFDIQFBAQCAnhIaqABnQKFDIQGBAQCAnhIaqsBnQKFDIQHBAQCAnhIaqwBnQKFDIQIBAQCAnhIaq0BnQKFDIQJBAQCAnhIaq4BnQKFDIQKBAQCAnhIaq8BnQKFDIQLBAQCAnhIavwBnQKFDIQMBAQCAnhIav0BnQKFDIQNBAQCAnhIav4BnQKFDIQOBAQCAnhIav8BnQKFDIQPBAQCAnhIawABnQKFDIQQBAQCAnhIawEBnQKFDIQRBAQCAnhIawIBnQKFDIQSBAQCAnhIawMBnQKFDIQTBAQCAnhIawQBnQKFDIQUBAQCAnhIbh0BnQKFDIQVBAQCAnhIbh4BnQKFDIQWBAQCAnhIbh8BnQKFDIQXBAQCAnhIbiABnQKFDIQYBAQCAnhIbiEBnQKFDIQZBAQCAnhIbiIBnQKFDIQaBAQCAnhIbiMBnQKFDIQbBAQCAnhIboYBnQKFDIQcBAQCAnhIbocBnQKFDIQdBAQCAnhIbpcBnQKFDIQeBAQCAnhIbuQBnQKFDIQfBAQCAnhIbuUBnQKFDIQgBAQCAnhIbuYBnQKFDIQhBAQCAnhIbucBnQKFCgAAADICDAACDAIWAiACKgI0Aj4CSAJSAlwCZgJwAnoChAKOApgCogKsArYCwALKAtQC3gLoAvIC/AMGAxADGgMkAy4DOANCA0wDVgNgA2oDdAN+A4gDkgOcA6YDsAO6A8QDzgPYA+ID7AP2AxADGgMkAy4DOANCA0wDVgNgA2oDdAN+A4gDkgOcA6YDsAO6A8QDzgPYA+ID7AP2A5wDpgOwA7oDxAPOA9gD4gPsA/YAAAAAAAAAAAkDBAJ4SGhDAc4JAwQCeEhoRAHPCQMEAnhIaEUB0AkDBAJ4SGhGAdEJAwQCeEhoRwHSCQMEAnhIaKYB0wkDBAJ4SGinAdQJAwQCeEhoqAHVCQMEAnhIaKkB1gkDBAJ4SGiqAdcJAwQCeEhoQwHOCQM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range()