Logiciel libre de géométrie, d'analyse et de simulation multiplateforme par Yves Biton

Accueil Tutoriels Exemples guidés

Exemple de suite récurrente complexe avec l’ensemble de Mandelbrot

modification lundi 31 août 2019.

Toutes les versions de cet article : [English] [Español] [français]



Dans cet exemple nous allons illustrer l’ensemble de Mandelbrot qui est l’ensemble formé des points M d’affixe complexe z tels que la suite récurrente complexe $z_n$ définie par $z_0=0$ et $z_{n+1}={z_n}^2+c$ soit bornée (ce qui est vrai si elle converge).

Pour une figure plus jolie, je propose de partir d’une figure déjà préparée avec une image de fond et un repère adapté.

Dans MathGraph32 (version JavaScript), utilisez l’icône et demandez une nouvelle figure par code base 64.

Dans la boîte de dialogue demandant le code Base 64, entrez le code ci-dessous.
TWF0aEdyYXBoSmF2YTEuMAAAABI+hR64AANmcmEAAAABAAIAAKMc#9j#4AAQSkZJRgABAgAAAQABAAD#2wBDAAgGBgcGBQgHBwcJCQgKDBQNDAsLDBkSEw8UHRofHh0aHBwgJC4nICIsIxwcKDcpLDAxNDQ0Hyc5PTgyPC4zNDL#2wBDAQkJCQwLDBgNDRgyIRwhMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjIyMjL#wAARCAKsAw0DASIAAhEBAxEB#8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL#8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6#8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL#8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6#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#y256lm78elF0yFWTOVZSO5pvPqatSx4JqErQ0bKVyLn1NISfU0#bSYqWi0yPn1NIc+pqQjFNIpWKuMyfU0ZPrTsU3FJoBMn1P50bjjqaDSHg0hgWPqfzo3H1NFFIYbj6mjcfU0lFIA3H1NG4+poooANx9TSbj6miikMNx9TRuPqaQ0UgF3H1NGW9TSUUDFy3qaTLepoopAG4+po3H1NJRSAXcfU17v8As3kn#hJs5#5df#a1eD17x+zf#wAzN#26#wDtauTHfwJfL8y4fEeDN94#WkpW+8frSV0EhRRRQAUUUUwCiiigAoopaAEpaKKACiiigAooooAKKKKYBRSiigQlLRRTGFFFFAgooooAKKKKACiiimAUUtFAAKKKKACjtRS9qAEooopiCiiigAoopaAEpaKKYBRRRTAKWiigQUUUUAFFFFABRilxRQAUUUCmAUClopiCiiigApcUYpwpgAFKBSgUtVYhsMU8DmkAp4FUiWSJ1q7A2D#SqaDmrMQ+biqRlLU67wzdyLqMMO#93M4WQNyrZpvic3C6lNbzBV8glFRR8qjPQVBoDWCzhr0zEAjYsXfnvXX614T1TU7qa9tYPOgfaVYEfdI4+g96xnOMKmrsmcf2tEeWSoQelVWXk10uuaUmnXfkpMsoVRuZT#F3FYbx9a2WqudNOdynt9KYVqz5ftTdntSsbcxWK0hq15RPY1G6YpNFKSK5FNxUpWmkVNikyIikp5FNIqbFCUlLRikMbRS0UhiUUtJSASilooASg0UUhiUUtFACUtJS0hiUh60tFIBK94#Zv#5mb#t1#wDa1eDmveP2b#8AmZv+3X#2tXJjv93l8vzRcPiPBm+8frSUrfeP1pK3RIUUUUwCiiigAooxS0AFFFFABRRRQAUUUUwCiijFABRRiloASloopiCiiigAooooAKKKKACiilpgJS4oooAKKKO9ABRRRTEFFFFABRRijFABS4oopgFFFFABRRilpgGKMUUUCCiiigAooxS0AJRRS0wClxRijFMQYpKXFFABS4opRTEJRilpaaAAKcKSnCmhNhSgUYzTgKZIAYFPXOKTGaePSmhMenWrKAZ56VAo5qePrmqRkzpvDlpFd3L#AGmYwxJHvL+noMd67qRtHv8AUdH1QazdxtpgEUsUSlftS9QCAcYGfxry63cp0#n29K1rW4ORk1y4jCxr#EzmU5023E6fXfC5ku7m9e5gSybMqTZHz55wo9a4CeDDHrXrlppJ1vwpa23mQI6TZDlskKfX0PXiuA1bTGs7ySLa5UE7WZcbx649KMNVTvFu7RKk46nMmI0eSScYI#pWvHZ72HGR3x3rpT4Jc3kaxSBLNolkN1IcImR#Eeg54ronUhD4tDRVNbI5jRNLkvNRijRVIByxboFHU1n6zHb#ANoTm2XEBc7PoK9CtdJXw3ZnVL+OTztzRwxAZVuOpPp#OuN1q+s7uL9zYpBMT87oxIY+w7VMKim7rYUZyc9TmHFREc1ZkWoWFUztTIiKaRUh9KaRipZaZHikpxFJUFDaKXFFACUUUUhiUUYopAFJS0UDEooxRSASijFGKACiij0pDFxXu37N#wDzM3#br#7Wrwivd#2cP+Zm#wC3X#2tXHjv93l8vzRcPiPBm+8frSUrfeP1pK6CQooooAKMUUtABRRRQAUUUUAFFFFMAooooAKWiigAooooAKKKKYgooooAKKKKYBilxSiigBKKKKACiiimAUUUUCCiiigApaSlpgFFFFABRRS0wExS0UUCCiiigAoopaYCYopaKACiigUAGKMUtFAgpaSimAtFLijFMQClpKWnYAp1AFO4xTExBiilGKUA0CFFOA4pAKcBTsSKBTwKQCpFU56VSRLY5eanQVGoqZBVGbZPGeRWjbnBFUY1yeKuwLyKW5zzZ3OieJZbGxhtLaKONVcPI+MmQ++fat3xR4fXUXj1Kyd5#OYI4XnYSOgrgbJTuXrXqHha0ntNOvpp2miZYsBceo4I968zFJUWqkNH+ZFNOS5OhnWPg7T7O2UaxtiuiCwVX5ZB39jWRq3if7JfCG1ED6fGu1bfG6KROuGB6ms7WLi6MhNw0pPUbycn3rmLqQ5POfU+pranh3P3qkuYXNrZF3WfEt1eT3TRyOsM#BidtwA9B7DtXJzNknnjtVuZs55qjIOa7IxUVZI3hFIquOaiYVO45qJhQzpiQkU3rxUhFMIwaktDOlJTjSGpZSGYpMU6kqShMUmKWiiwCUlLRSGJRRRSAKSlooASiiikMTFFLSUAFe7#ALN##Mzf9uv#ALWrwivd#wBm#wD5mb#t1#8Aa1ceO#3eXy#NFw+I8Gb7x+tJSt94#WkrcQUUCloAKKKKACiiimAUUUUAFFFLQAlLRRQIKKKKYwooooEFFFFABRRS0wDFFFFABS0lFABRRRTEFFFFABRS0UwCiiigAooopgFLRRQIKKKKACiilxTASilooAKKKKACilpKBC0AUUtMBKKWlxQA2nYpaKdhXCgClApcc1QXExS4paTGadhCgUtIBTgKBMAtPxQKUCgkBTwKQCpFWqJbADNTIvahU9BVqGIntVLV2M2yNY6sJGRW8#he7g0pNTZ4Wt3wqlWyd3cfhVFbYjtUqSa0Zg6mmpFDESR2rpPD#h+bWblreF0WQIWVW#ix2FVtIY2d7HOI43Kn7rjIr1XSdU0SS5hlg00QzA8OvGM9c#jXLi69SnH3VciNpSs3Y47RrGe01FWNqJXUkNEy7lJr0sNJLFa3UryxCOBy1snEMo44bvkdqpNe6Jodxd3F9dJaPFzMjuMsD0dfauG0D4mTaz8Rrixlls10vyzFFcFsAqDkMB3Y9K+ZxuYKu1yrY9XCYKcOZz6jfFUp1DUWmAkC4ACv1HsPauPvLSZImkMZEecbiO#pXtOoaDb3etJLM8aK5DtGD8xQdxXK+P7XUWhUi1ji0yI5RoSMMexPvXt4TG05ONOH5nmToTg25I8nmWqci1qTRHcePaqTxnnivX9SovQoOKhYZFXZIiO1VXTGaRvFkBphFSkcVGRUs1QzFJinEc0mKkpDMUhFPK00ihopDDRTiKQipAaaKO9FKwxKKWkNKw7iUUtJikAlFLRQAlFFFIYle7#s3#8AMzf9uv8A7Wrwivd#2b#+Zm#7df8A2tXHj#8Ad5fL80XT+I8Gb7x+tJSn7x+tFbiCiiigBaSiigAooopgFFLRQAUUUUAFFFFMQUUUUAFFFKKYCUU7Ao7dKAEooooAKKKKYBRRRQIKKWigAooopgFFFLTASgUtFAgooooAKKKKACiilp2ABRRQKAClooosIKKKWmAlLRRimITFKBSgUoFACYpcUUtOwCYpQKUA+lHNMQtFLilwKYhtLilxTqBCAU7FKBS4FMQgpwFAFPAppEtgq5qdEz0HSmoKsRAZzz6HFO5EmaGnaVcahK0VunmOqlyB3A9PetfTfD17eRTTQQmRIMeYAcFfwrb8J+J1srqztvslrFEf3ckoHzMp9T2Ndf8A8JFpWjiS20WEg78PJIAd4B9a461erGXLGJytp7sk8KaeZLEaRqthhIT5sIK7efc+9cdrGliLVbhViWMeYTtQ5Ar0#TtYNzo32m9uY0MknlrKeiMeg#Gs2XwtvmlNy+xy4EeP42NeZSxqhVqOo7eRrPDycY8i3OP0zwrfXQhlSNVglJ2yZ4H1rqvDWnraXp+0RMzL8oIGQDU2pG98LeFr26t#3k1vh#Lb+Fc8tjvXIar8bNNsotNudMgWV5InNzDtwUc8A#p0rmxGZOblTtdPsdFDANqNS9mcf8b7q4fxZFbzJHmKLasyLtMidgR3xXl8btE6ujFXUggjsRXd+M#iUvja3jTUNFgSeLiO5jciQD0PrXI6U2lpfxtqiTvahvmSEgMRXmQVo2ses99z6Q+G0sl14BFxO94ZpgWku5yCSf7q85Arn9Zlup42iaSRoUJOzJwPwra8P#EbwjqWnWuk6dbPbHdHBDbkfMWJxk+oFdHLaaUv27SluFecIXnMYDMidq7svxVOitdzzcdQnUldbHjE1sSx+UZ9Kmi8OXlxYvexW5kt4ztZ89K37jSws7BV+XPyk9SOxru9Nsk0jQBcWVpJLdToA0bnep98V72IxnsoJx3Z5lKDk2jy#UPDcdr4RS9ZVFy8pYiX5GVR2Ud64aVcHFd94t1HVL8qmoBgsbMUVkwF9QPauHuF+bIHvz0NddFycbydzSk77FB1qNhU7rUTCtGdSZERTSKkIpuKhljKQinEUhoKQw0hp9NIqShhFFOxSYpANopSKTFAxKKXFIakLhSUtBpDEpKWigBK92#Zw#5mb#t1#wDa1eE17v8As4f8zN#26#8AtauPH#7vL5fmi6fxHgx6n60lKfvH60lbAFFFFABRRRTAKWkpaBBRRRQAUUUUwCiiigAoopcUwDFAoooAWikooAKKKKYgooxRimAUtFFABRRRigApcUYopiDFFFFABRRRQAUUYooAXFFFFABiilpMUxBS0UUwCjFLRTAKKMZpaAEFLRilHWmhBmlopelAmGKWlxRimK4c0c0oFOApiG0oFOApQKYhAKXApcUuKYrifSlApwHNOxRYTYgFPUUAYqQDApkgtWI+vPNRKKnjFBlIu27EEHNbNpKxYd6xYVORiur8MaQmr3jW7XUduwXK7#4#YVNWSjHmlsc81d6I9F0H7Bf6MthBIkc0kWbmUrkLjkED1968e8XfEfxVYeIjaPfwyyWMpMFxEvUEY4+o717BpWh3Wj6gqRyZ3#LvxjPsR2rzn4xa3oKxizs9Jto9YDeXPI0RV4wOu3sQfWvjcbTg63tYvmUj2sBOfsnTeljk#HXxHvvE8tpHbs9rDDbLFJsc5kJHzZ#GuC3e1G7pTSayilHY6mFKCaTNGaoRLBNLBKssMjRyIcq6nBB+teufBvxVbRa3Jpd4ga71ByXvbiTOAByqj1NeP546VJDNJDKJImZHXoynBH0qZK476Wex9WQ694W1nVZtNhvoFEAH71mACNk5QetXbvVE0#Q2ktvMhQuRCT83mAfxA+leLfDn4c3WrXVr4gdrO60tDvdHl2ncD0b0P55r0zxXrTJDNp9iiR2zEdF6fT2rfBwq1q0Y3vFb3OPF+yowulZvQqatregatZQ3erBmu4FZFt0HysT0c+1eSXhDSs4AUFyQF6D6Vr3j8tx+HeseUZJ9q+toUVTjoeVCTbuyiw4qFh61YYYzUTLWx0pkBFNxUpGaYRg1LRdyMim4qQikxSKI8UhFSEU0ikNMYRSYNPNJSsO4zFJipKaRRYaYzHakxTyKaakY3FFKRSVJSEopaSkAYr3b9nD#AJmb#t1#9rV4TXu37OH#ADM3#br#AO1a48f#ALvL5fmi6fxHgx6mkpW+8frSVsAUUUUwCjFFLQIKKKKYBRRRQAUUUUAFFFKKYC0lFFABRRRTAKKKKBBijFLRQAUUUUwCjFLRTEFFFFABRRRQAUUUtABRRRTAKKMc0tAhKKWigAooxS07AFJS0YpgAoxSgUYpoQoo4oxSgUAGaUUYpQKYrhilFGKdinYm4lOANCjmpNue1NITYwLTwPanKntUgQ07EuREFpQtShBT1jzjimlfYlyIdppQtT7OMjpSbSKBcxEFpwXFSbTilC0wbGAelPAp4T2p6pQQ5DUWrCJQq+lTInNBDZNAMHOMgV6l4RXQ9M043r3KTXqJl42HQ542+9eZQqQePzrXsnZMYPI9e9c+Jpe2ja9kYqpyS5kem+IPEc+laLNNDZ+ek9u8sEsSlmRxz8#90e9fPHjfxTd+LdTh1C9tPs83khSOzY7ivozw68Frptu905FpOpWVp+ETH165r5#+J15aX3jC4ls7tbmMDZxGE2YPTA4#Gvi5Qp06zhB3S#A+gozc6ak1rY4milwaSrLCiiigApy02nD1prUD2T4L6vaWtreW9#qOxTKot7LIAmduMnucV7A+lWcTXBaKG62oSxBDEHuD6H0rxT4TeBLHxFbS6pfmeFrWXfFKjgKQBznuOe9ei6vqd54fFutlH5EKqfLkcbvN9SfU1eFhVqVHCk7d9TmxjpxSlNXfQ4PxPNZXGoMdOtjbwIAgRjzkdSa5iUc5rb1GaS6uZJpSC0hLHHAyfasmVeMV9lTjyxSPGgyg4xUTCrbpxUTJVm6ZVK0wrVgrTGWkaJlcikIqUr6U0j2osWmRFaTHvUhWk2+wpDuR8UmKm20m3NKw7kJGab7VYMft1phTHNFgTISMU01IQR2ppFS0WmRmkp5AppqbFDaKWkqWNCV7t+zh#wAzN#26#wDtWvCTXu37OH#Mzf8Abr#7Vrix#wDu8vl+aLp#EeDN94#WkpW+8frSVuAUUCloEAooopgFFFFABRRRQAUUUtMAooooAKKKKYgoooFAC0UUUwCiiloEJS0lLTAKKKKACilxRQAmKWiimAlLRS0xBRRQKACiloosAmKKWjFMAopaMUCClAoop2AMUtFA60BcKdgUYopkti4FAoApQKYrigU4DNJinYp2FccBUyJmmIMnmr1o3lzI4AJUggHpVWM5SsNitWcqADk8AetTy2MtvK0U0bxyLwUYc16v4cbStThivNUs7SK4nIhthGcAsO7DsPesnxJ4a1RtQluLgJcO8hVjEd23jPOOnHSuaOKjz8j09epzOpLfoeeLbknpWzoGh#2pqUMEiTfZ2cLK8S5KZ6V11l4StLnwlNqG2b7ZFIV#2WB#wrW8L6De6TEuqtPJBbNtG2JC7SHOApUdvftUYjGU405NOzWhUeabSS3OA1nwzeaXe3ML28uyIkhyuBtzwT6VhtDj6V694+1S4S8uLGC98yCRQJotv3SO2cV5lLB8x4rXD1JVIKTI5mpOLMzyzThH7VaMXtSrFkdK6CuchWEmpltz6V0nhW0sJdXjTU0DWjg7s+vbGK7C88BWTzPLBcC2V3Bigbunfr3PauOvjaeHnyzdhwhOp8CueXiAjpUiQmu#8WeGrazaGSys5Yl2gOX+6T2#H1rmYbFpJVRRyTj5vWtKWIhUh7RaIynzQlyt6mfFFWhbR#iCMY9fat1vB+o27urRr8i78qecVBb6bI74SNmPoBSWIhP4ZJmc4yW6sdDpGqz3KxWlwVktyvlmNgCCvpXG#FTw8lxY276V4cltpbdTLdSQjMSr0zu7k8fSuotLSSOQAqVI7Yrojp6axp72l0ZWLRsqjzCoOeze1eFmOHUn7Sl9x6GAxPK#Z1Nj5N#Ckr0L4gfDq+8MXUl1Dbk2Lnjy1JReOx7j6159XmLU9bToNooooAd2qSKKSWRY40Z3Y4CqMk#hSQo0sixopZ2OAq9Sa9m+GvwzvoZotc1JZrR4zujPRk6jIBHJobfQNFq3ZG94K8NaboGkQ6haahevJPbB7iDO2In+6c9D6iovEepNqd1vwY4UAVIs5C#Suo1TzXiW3RmKj0GN59T71y8unTTylUQs3XAFe1l2GjRXtJ7#AJHiY3FSqy5Y7HKTx8mqUkfWukl0+QSFCh3ZxjFXZ#Bt0NIhvYgzyNw8IXJUE9a9eVenBLmdrnNDm1sjhXjPpUfk57GtmayeNyjoQVOCD2q1p2g3uoy7bW2eUjqV7VtKcYx5m9O5ak72Rz01hPFGjyRMiSDKMRw#0PeqTxbTg9a9vt9MMngmTTJNLMlyhKRjPzAnqeen4V5nqPhvULG1a5nt2WBZTEWPTd7VhRxcakmno0#vNE5K1zlyuDTCtXHiwee3eoSnNdNi1IrlaTZVjZSbKVirkASnrHz61IEyanjjPpTFKdkaul+HItVtn8q7VLlFLyLIMKFHvWBcWxjZgeMGux8Nvc22oo9rEJHf5DGy5V1PBBrW8VeHrXTLC6ksYElMhzJ84#0X1UDr1zWLqKM+V9TGNR8x5Y647VERjirkyYPBzz19arOOatnZF3ISOaaRUh603FQ0ajCKb3p56001NhiV7r+zh#zM3#br#wC1a8Kr3b9nH#mZf+3X#wBq1xY##d5fL80aU#iR4K33j9aSlP3jRWqAKKKKoAooooEFFFFABRS0UwCiiigAooopiCilopgIKWiigAoopaYgooooAKKKWgBO1LRQKYAKWkooELRRRimAUYpaSmACloApcUAJRilHWlosISlxR+FLRYBKKXFGKYXCjFLS8UxXExilooxTELQBS4paBMAKXFLSgc0xABTwKQCnimiWx6CrUXDVXQYFWYRk1RnI2bGR1IG449K9T8N+J55UNtdwJKkoCOypztAwOnU1zHw#8OLq1zJNeQL9iKFFldsYfH8PvXoum2UPh2xIJtpInRibhXy7PnhMfTnNeTmNen8DjeX9dTKlTlKXMnZIvJaWVpbm1WIrHcNny2fCqccBvTNVtWmnsIPIti8cgw21OFix2X1FSWlz#atrLaQKimRAoeUbju7MfUjtXLP4803R0udG1W6aXUrYsBdyHHmsT8u3I#OvnHVnQr2rpvqepGjGvS#cNLoYOoWtxe3bFw0kkjcjuxqq3hO#a1vLh4tgtFzIr8bj6CvRxBYXMOn6mbiJ2unVVkjTAd+4H+NF5dpFrVrZtqdvPFcNIrIUBKbf759icCvUnnXJGLgjjp5bOTkm9jxh7YqenaiO3OR2ruvE+l2EM0UdlB5TID5oHIJ9c1hW+nSyyBYo2Y+gHNe5SrqcFNI8+futxOh8KaPY#YTelHmuoyT5YYLsPbHrmp#F7w6SbHVdUntluw6uLdSyrHCfvHP8TZpuj6dPa3MRnjdI9wznIz9feuP+K+s63baPBpd8sLrLI0glAG5UJ4XHbpXzOa01Oom5Np#gexllTR2ST#E9Blu9Hm0C1uLeWeGO#kMUa3DmTa3bPpu61DpugOJ5PljEsfzBplJQAdc4rxP4d6nfHxVZWzXf+jF8sZzujiA#jIPoOPxr0nxR8WNO0zxRbzaVcvPawl457ZeVbjhvcH61lSxEqdN0ujNa2FVSpGp1XcbL4j0nT#HTK+ryTrcQBvNhOY2bONirn8MGui8ayp4e8PXd#b3RiG1fNjijDSqW5G7+7Xz#AOINfg1XXl1az02OxlyHZEbKFh3A7fSqmo+ItY1W4uJ77UJ5XuMebluHx0yKxgpQjyxbsdE4xlJSa2PcNW8bWFn4J0y+tdQVryVUE6HaZlGfvVBffGTTLDULpbGQXFutun2YiL7z#wAW73614FnPU0Zp+9bdi5Ifyo92k#aEjkjeGTQormA8CNxgY#WvO#EnibwzrrvNB4WFhcMc77e4KqfquMVxuTSZqXBN8xSdlYlmMJYGFWUf7RzT4WtVKGaN3H8QVsZ+lV6M1e4j0vw38Q#DfhjY9l4Mge4X#l4nmMj#AF5GBXWy#tArcwSK+mCJtnycZ5yOPpXhAJx1oJPrUxilqhytJWaPfU+K+j3g1xnu2iRYA9kvlfMZMDIX2z61em8Vacvw9fVW1FEvpFXetugMkYPTPPBNfOlKJGClQxAPUA8GqfN3IUIdj6h0O2j1fQbPVnmEsRg3qpTbM4X7xx3+orMGvWeqeMrODT9cl3wQGZmYhIh6K#p6GvE9I8c+INHvYLmC#dzBEYY1l5VUPVR6VJ4W1XR7DxI2qazBcS2+5n+zwnhyecMf7tTUlKUVFvYdOnGMnJLc9o17RVjuQ4jRJJDvdUfcoJ9D3q#4asrjT9RFukyLPOnMG752Hrj+tUtI8b6P4l8SzIJ4LbSYookjDjkyMBhU7nFcx8UfFmo+GvFP2LTljtbuOPa80YzviPI565rvqY+ToqlHX1OCngf3znLRdLHo9zeh7i107Q9SlmubqRsrIm#ytnLszdQD0qh4u0y91yzAtCypApe4ik+UK2Om31968q+G3iK0n8cTXevTyiS5XdujkKqxAztwOufSvS9e1u6ns#MhkdI7yPcykYZRnpXNl1OUcTeL1N8e4qik1p+p5XPDzkAYPQ1WaHmtq5gO88flVQwc9K+zv3PGjPsZwi9qPJPpXT6FpVrfanFbXjTJFIdgaEAnNdZJ8NCNaSFJWbTy+xpejA4#lWFXF0qc+Wb1sXFyl8J5cITnpVmGHOeD#ntXR6n4VvdLjaeWLbbmVo42bq2O9UYrUhhx0NawqRnHmg9CJTadpHdeG7M6DpD3UZfUJbgpE9tZqGkiLH7#AD2UYzXF+LoEtNVuLeG7e6XJ3yHjcc9Peu28EafJJeNP5kkUUI5KHlyf4awPGNvcaj4jnQQKJVPlhIxxn2rz6DtipJu6sVdcidup5rMnbFVHUCuvs#D0t7feQ6SRqoLSMVPyqOprmbyIRzOi5IBOCR1FejdPRG9OpfQoMOaawqRhzUbZqWdCGUw0+mmpZoNNe6#s4#8AMzf9uv8A7Vrws17p+zj#AMzN#wBuv#tWuDMP93l8vzRdP4jwY#eP1opT94#WkrYAooopgFFFFABS4oxS0wE6UUHrRQAUUUUxBS4pKWmAUUUUAFLiiimAUUUUCCiilpgFL1pMUtFhCYopaKYBRRS4pgJS4paWiwhuKUClxS4ppAJiilpcUwuNopwFLigVxtFOxRigLiYpaWiiwhKOtLilxTFcTFKBSgUooC4AUClApQKYgApwHNGKUU0S2L3qRRmmqvNSgdqZLY5RViIVCo6VZjHNMykzc0rVbvT5o5bed0ZCWUZ4BPBOK2rS#nmIQu7bmyFBJ5rloeCK6zwpBdT6vB9ljLvGwdjtyFHrWFVQhGU5LY5px5pWO78OgyQvbSyy27yOG85Thkx1x715F8XPDE+l60dSuNRjmW4#1aPJukK9icevWvbbrXbHTJr9r4KiIn7vzRsEzkchSP4cfrXzZ441az1fX2m0+SZrJRiJJSSYz3UZ7elfGVKsa9b2lNdNT6DD0pUqXLLboRz+Odektre1S8eO3tgoiRT93HQ#Wtbwr48e08aQ63rm66IIDHoox3I71wp4PNA70nCNrG3Mz6jtmfxDpUuol98M0zSWyyKFlER6ZX0z0NTW2jXIsLhbZgly6EA5wwHdh3GK5#4UXUNt4CuNb1NkAXFvHLOSCxU8Jn+70+lcb4l+J0dvr41Lw8skNwyPHcxu26MN03Ia3WIkqHsU9zkeGUq#tTpvC3jvSrS7vtOvrpxLZwyKl3O5MYx0wvXOfWuV8T#FlNd0ddMudHtL6RVKNczLzuBOGUjtivN9Q1K61W8e6vJfMmk+8QAM#gKqZrFLSzOptN8xI1y+ZAmI1f7ypwKjDY6U2imIcWPSkzmkooAKXNJRQAuaTNFFABmjNFFABmjNFFAC5ozikooAXdS7+MYptFFwHpK8bh0YqwOQVOCK0dS1u91iO3GoSmeWBPLSZuX29gT3xWXSg0Aev#CrTfCkV7FeT+IHGpHAS28gDb1PJPXpXpBgtvEcEuo2h3xB2jRHYIXf+6p6fSvltHaMhkYhuxBwRXTJ471geEx4d87bAkyyQyDho8dRWlKpOk249TOrRhVSUtkexX1lpuoi5t7FHjutOUecpXhs#wC10zXMGyO#AznPTHSuq8K3GmWHw#ikuNYtbuRSEka3+8A3OCT94#yqRNLWcQzW+WhmG6MsMEivXy3GScHGpI8rHUFCadNOxR0vw1fEC4IW3UEYaRtrEnpge9dXNrdl4dn03StTvBCbolpmlJ4A6KB1yTWF4y8WyeFdKtrmK4gbULK4CfZbkDdKjAfMB1wO2a8V8TeONU8UanBe3QjVrZy0GBynOcZ7815mLxdXEtwdrHfhsJCklN7tH0b4i0u61NYHBzEM+Sj8My+uKrHwVp8kMZiaSOaSMuqcHJX72K8Q0D4q+ItL16PUbu6a9BURSCXk+XnJC+hqfW#ijr154tlvtKu3gty5FvEF4Abg8etSsZiIRUI6fkDwNKUm3qe4aJoNxpl3DPIyL#EEL4Yj1x#Wn64thojPfjT#ALVO8m5ZWPyo3t60tibmPw1a3iype6kYMS3cvDkEcrjtjp+FY2i+KoxcGwvpI#szlirTDIVveurDutiP3ztbsjjrxpUH7Jb9zk9Z8dak7MIY4bfLHIROeeoNec3cjSyu7nLE5JPeu88WaHZ6ZbG6a#Wd7hi0SRDIIJ7nsa8#m5+tfRUVDkTijCktSq3WozzxUj0w1ozsRGaaacR1ppqGWhpr3T9nL#mZf+3X#wBq14ZXun7OX#My#wDbr#7VrhzD#d5fL80aU#iR4M33j9aSlb7x+tJWwBRRRQAUYpRS0wEooooAKKKKYgoxRS0wCiiigAxS0UUxBRRRQAUtFFMAoxRiloEFFFFUAtApQKUCgQgFLil20uKoTYmKMU7FGKBXExRinUYosFxMUYpcUoFFhXEwaMGlxRimAlGKdijj1oATFLilopgJS0uKNpoEFApcUoFFhNgKUUAU7jtTsJsQU8ChR7VIq0yRVHFPUZoVeelTImaNiGwRfarKL7U6KEngA1eWxlRtjxurjkqy4NDaTszGUrkUKnPSug0W#utOlL2kzxMww204yKzI7cg4rRtYDuFRNxlF3MJSdz0eDWbLVYBay2YuYyu#ypRyzgdj2zivJfiR4ba+kXWNH0eW1s44h5yPhdrd1UfxfUV3mm2dzA6Pscc8Y611Lf2XNZi51oxTw2bbM7#9UX#TnrXy+MwlODU6ctPzPVweLm7xqRu#yPklgQSCMEdQaVFG4biVU9T7V6#4913wLpVxJZ6T4dhvL9RsM87Havo2B1z1ryK4uJLmUvIRnsFGAPpXCpX3R6TVjc1jxZe6nplnpKMYNMs02RQIcBj3ZvUmufyMUhpKaVthPUXiikooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigApaSigBc0oIFNooAv6dqUmn3kEyqsqRSLL5MnKMw9RX0L8PPHtn4uvfs2p3CJqEr5itwoVIlHRVPfNfNgOKmtrqa0uY7i3kaKaNgyOpwVI9KE7O6FOPOuVnbfFm7lk8cXVnISRaExgty2M5+91PWuEzXQ+KvEJ8VXcWrXEapfmJYrkqOJGAwH+pHWudxzSjtYpj8jH9a9F+D19p6eJmsdT0+O7huFzHmIu8bjuuO9ec4O32r0f4Y6f4n0++TXtHshLAX8idio3LGepXPrzzSn8LHH4j1rxXqN9JHJYxJiFR82xfmI7A4#WvML6VlPPI#zwK90YqLdrgWqQF4yFS4cbnY9ifcYrxLxVqx1LUOLWK0SBfKWGI5AIPJz3NfRZXVjKPLGFkjwcRSkppyd7nO3VzJJ952bHTJrOk5NWZj+dVXPIr2C4aEDVGalbpURqWboYaaafTDUstMaa90#Zy#5mX#t1#8AateGGvdP2cv+Zl#7df8A2rXBmH+7y+X5o1p#EjwVvvH60lK33j9aStgCilopgLRSUUwCiiigQUClFFMAooooAKWiimIKKKWgBKWigUwCgUUtMQUYpaAKYBigUopRQACngUgFPAqkiGxMUoWnKuakWP2qrEtkW2jFTeWR2o207CuQ4oxUpWk20WHcZ+FH4U#FAApAMxS4p+BRigVxuKNtOxRtNAXExS4FLto20wuNIpQKdtpQKBXGYpQKdilC0xXGgU8LQFqTFAmxAKkVc0ijmpUHNOxLY+OPJ6VvWXhzUrmGaVLOVUgXe7ONuB261lQqM5#CvWPCuvX2p6aNOns47m0iAWWU9R6E+3aufE1Z0Y88UYfE7HJaP4XvL63kuo0UpCw3Bjhm+leoXVzZG0mCWsT3kEKxypJH9zI6Z70l9qD6QbYWduv2NEcvMFx5Kj+Lb1IGadDq2h3Ntpen299JeR3CPJ9pbGRzklumK+Xq5p9YrpPRJnprAShTb3bR53Jp2HJC4Uk4HbPpW3p0JtNFvZolg+1KAIDN035wB7n0q6+p28uvS6ZNe6cbPyDNE0aFvLA6s3Q8jtWldXNp4e06PWBam+smcNG6rlVGOGJ7cV11MyjiKMlDRo5o4GdGrFyV7mHovjK0t9Yg0nW5iuomXyXgCbFjcj#WZ#i9K838ZeLf7K1XVNL0K#aWyu1MdysiDKuGOTWf8RdR0G88Qm70KS6llYCRp5Jdw5GePeuEYkkknJPUmvIirpX6Hr6RbcVuK7FmyWLH1J5pppKK0uSFFFFIAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACgdaKKAHDgiuy8LeDrTxoHtdP1SKz1dRuFrdcJKP9hvX2ri6sW1xLaXMU8LsksbblZTjBodwPXLD4J3ljcxS646vEh3PbxOB5i9wG7Gu8srnTvCuiHTLS7nmtE3FLdlAck9FL9wO1ZfgnxhP41srfTRC9xeRqXvZ3G1Il6KF9enNRa1ZKg3xTJMoYo5jbOxveu3BYajXklNu#Y4MXXr001FaGHqWv3k1i1iZ2Ntv8wKeSD9a5S4YnJrZuoXAJwcD2rGmXqa+ppqMfhPLg77lCSq7jmrbiq7r1qzriV2qIip2FQkVLNUyI001Iaafu1BaIzXuf7OX#ADMv#br#AO1a8Nr3P9nPr4l#7df#AGrXDmH+7S+X5o2pfEjwVvvH60Cg#eP1orYAooooAKKKKYgpaKKYBQKKWgAooopiCiiloABRRRTAKWilpiEpaKMUAAp1AHFKBTsIQCngYpoFOFUkJiinAUgqRR1qiWPRc8Dk9q6XQrG11FHtpYn8wAukqdRgdDXOxitnSr6ewnEsEhRgeff61WttDnqt20K0toVLfL0Pb+tVngx#WvR9OeDxHDJYXMccE7HdDMiAAEdQ3qMVheIBaLstLKIGGIff24aRu5PtURmnLl6mMar2OQMdNKVbeP8AH3qIofStDoUivtpcVLt9aNgpDuRYpdtSBB6U4L7UBzEWw0uw1YWLPantbuvVSMjPI7UWJ5kVNhpNtWGjppX2pjuRbaNtSbaNtAXGbadtp2DQFPrSFcaF5pwWlC08LTE2IBUyCkVPapkWi1yGyaIYIrsPDniK60e1ntbcRrHcEeY235q5OJCSK1LVGBBHP1NZ1KanFxaujCckndOx7RZ3dv8A2gszSxztJaiJN+GKdzntjpwfSvFvihpV3oGo2+rDUEF3MM7bRSIcHOCp6dOorrdBmFvco0mSnIOO+ak1v4eyeItFhtYLi5vphIwh3SbUt1POcd+eMV8njcG8PUTjqurPYwWL9pFqTs+x4BFf3UNz9pS4kEueW3HJ9vpXp#iv4jzyeCtB0uyuCt55BN0UPABP3SOnSuT8T+Brrwgo#ta6thKxIjt4n3SH3YfwiuULsxySSa5Gr6nZewh6mkpKKoQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRmiigDS0rVLrTZ2+zXs1oky+XM8J52HrX0Pp0Ght4X064guZTbXcqxmWWPaZpOhkxnpXzPk10mgwa14ouLLQrK+VGh3G3SSbYBnk4NOM3CSnHdE1IKpFwezPf5dO06OO+0W3Fub6dG2LI4ZSo5DKR0+leTXkHlyshIO0lcjvjvXp1np6+E#DUFs1oY9RVHV5t#mbywHzBu3fiuAvIMsxPTPPHevfyiVVwlKq9GeRjPZQmo0uhz8keO1V3j9q15Lc5HFNS0LN93NezfQxU7GG6e1V2XFdv4l0C1s7HT72zDq11F5j25+bYBxnPvXGSrg47VEZKaujenK5WYUw#dqRhzTD0pM3RGa9z#AGc#+Zl#7df#AGrXhhr3P9nP#mZf+3X#ANq1wZj#ALtL5fmjal8SPBj94#WkpW+8frSVsMKKKKYgpcUYop2AKKMUtABRRRTEFFGKWgAopcUmKaAKWilp2EFFGKXFFgEFOpKUU7CDHFOWgUoqkJgBzTgKSnCmiWKKeBTVGTUgFMlksY4q9brk9Tj6VTjrodEi02RmW#mkiJ+46rkKfWqT5dTCo7I6rwVFCzzt5US3MMfmxSSklRjttHXvWb4oaxuNRllsll8tzlmk7n2HpXX+Fn0ia68jTrNxdCJgk0jcE4xkrXNeINHn026KTmMu#wA37ts##qrjpyTru+hyvRJnHSRmoDHWtJbknjv0zVc2+ecV2M1UzO8uk8ute20ye8k8uGMs+0tjvgdarNBgnii5XOURGc8VIsWe9WfK9qkjh5HH50xOYkFtvOMflzXd3Xh9Ne8P281gPKNkgjlSUYUDqW3dxV34fWMV5crHLpkc6QEu1w#VB6e9WfEetTIklhZRx21qrMNsXSRfQ+tcNSrOVXkgtVuzNtW5meV3EHlyFRggHGR0NVWj7itq5h5PHAqk8PPTH1rtRUZlDyzSbD3q4YqaYqZpzFbZRtqwY6TZQFyELUgWnBacFoE2Io54FTxrk4x9BSKtWoUGRSdiHJont7csfYda7#QtAsYbG2utUjeJpZPLXccZ3fdwvfvVrwP9mu9JntHsLfcmN0gA3y9wMGobnxFquirc6tqenefHasyWeP8AVxMQPvL1JI6Y6V87mmZTpy9jFWfc7sFg1VXtG7rsaa+HxHflEjYQhsDPUVial45Hh977SdctprFblCsDxA5jI6HPocVzQ+L1p#wmC38dnOY5iglWV8qGHHC9sc1z3xZ8Vy6z4juLCC8afToWDxhgMqSOgI7V59bFTrWjK6OqhhY0m3ozitZ1e71rVJb27lMkj8biMZA4FZ1G6kzWOx0BRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVYtbh7S6huI8FonDgHocHv7VXpwbFAH0X4dub#xJov9oXusWN3NcxZFjajmLnAJHbA4xWnpOgpb6k73iRNFEhaVZRwqn+JvavMvhh40i8N+HPEnniJ5Etw9qjADc5OCM9a5LUvHXiLUxdpNqEiw3SBJYkOFKjoK6KeKnTp+zp6dzmqYSFSp7SfTY9l1#wALWcVn#aGnM7ReZh1YYBz0K+1U9A0C2uZJZboyOIRvFtEuXnx#CvvUPhf4paNc+F7ez19ljuYittAiqdu3++xr0TR7PT4JJpbC6hnbK+XIhzsyM#lXTSzSSw7hUfvLqc1bAv2ylBe6cR4y1uystJm0S0sjC#DK+7LRqwyVJ7HtivJJgQcd#SvYNf8ADdlLfyXWo65bmdgz3EZOGLDoB+leRXW3zn8sYTJ259K93BuPs1Y5aekmik3Woj0qV6iNdDOtDMV7l+zp#wAzL#26#wDtWvDTxXuX7On#ADMv#br#AO1a8#Mf92l8vzRtS+JHgzfeP1pKVvvH60lbgFGKWimAUYopaYgooooAKKWimAUUtFABRRRTEFLQBSimAUopaKYhKcBSCnUCbAUUuKUCmhMBTgKAKcBVIljl4p6+lNC809RzVIlsmSrkDY7kCqa9asRnFMxlqdh4ZdPtglnvTbwxje7K2HYeg9TXd6hplt4ntf7R0sFrjhWiYgHgevc15JBIBjqB6elblnqdzCipHO8ag5AU4we5rlrUHKXNF2ZzS00Oui8AXNxb745oHnyN0CuCQvv71T1#wlJaX1ybaEC2g2qSDwCR0p2gXl7JdLBas2+XBI3dcepr0h4Wu7qRLqdZQ9uoGnbAAkg6sH9SK8+viq+GneWq8jSlTjVjZaM4Xwjp1x9k1CC1j2Xkke6KZkztA6gfWuK1DT5ILmSOQfMpIPOefrXuVrCsI+yWyeVPboHEbsA#PTPqo9a5iDwyJvERN7EJY8kuQMKT2#D3qMNmMZSnJbF1cNOnZdzyVrUqeVI5qSOHBHFdh4jt2uNTkdrVIAPkVIx8oArLi0yaSN5I4nZExuYDOM160KylDmOW7TszX8Hax#Y94BJ5jW5BzHu4ye#vXYx6V4f1gypGkgY#P5jHBI7gVw1hYSzTLHEu52OFA7mu78O2Utu7LcWwKOfLJkO3k8FR7mvNxyjG84O0n5muHblJKSvE5qfwQkutXESuVtFjaaNowHLDHQVwdxZhJHUA4BIGfSvXE1axtvEcPhvTbuDyFDHyHUr9nI4CA9Tk5OKxfF+iut#5otY4IiNqKn6k1jluZutPkqHTjMI6EVOOx57aaVcXsvlW0DzSEZVEGSa1tS8JS2Wg22ohJWZnZZ1K48r0zXa+B7OCG+lkdVE+392zcY9cUeMo9ZNo8c0pktGfLBB37ZrsljJe3VKOiXc51Fez59zyN4dueKjK+1a09sysQykHvx0qqYTnpXpXuQp6XKQWlC47VZMXPSgR89KZXMRonNWoU5GKRUFXbWAyuqLjLHAqW7IhyNPSZZYJ1aJyrA9j19sV3qPqOo6ZPBai3W7ndXZrpcoQBjn04rBgsY#D8J+2zxrfXCbbSFCNztnHPoPeuhn8R6JNqDaFLdQwTy2wUXkMg2mQDlVX8xzXzeYYuhVm4WvbqejhcNXglNaX6HiPjv4fDwk8t1c6tbu0smYrdOXOec#SvP2YsSSSSetb#i#VptS1qSN7t7iG1JhhZ1wQoPSufNeXG9tT1Ha42iiimIKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigCe1jeeZYIzhpCFHPU9hS3FtPa3T208Txzo21o2HzA+mKiQspDqSCDkEdjX0jpGo6T4j8K6bf3ttZy6uluFdk2mbC4AdsDg8cZqoxlKSjHcmc1CLkzi#hT4F0#WNNvtT1e08zyJVWEBtrxyDnBU9Qa9Ts#EkE95c2yiCzeO3+VWAj3MOM1zl74vNtK00enwfa8YE#TdxgMR0Le+K8#wBU1C4vrh57mQySucszd69XB5XN3dbT8TzcRjPaNKkzU8XeJLfWY032arqKHZLOp+RwOmB61wszZNW53z34FUXPJr3oU1Tiox2Mqa6vchc1EakbrUZps6Bhr3P9nP8A5mX#ALdf#ateGmvcv2c#+Zl#7df#AGrXBmP+7S+X5o2pfEjwVvvH60lKfvH60VugCiilpiCiigCgAxRS0CmAUUuKBTsIKKWkoAWlxSAU4UxCYpcUUuKdgDFLilA4oxTE2GBTsCkxSgU7E3FpcUAU4LTSE2AFOHrQBTwKaJbAGpFFIq1IFpktjl61PGOaiC8VYRaDJsnj4rRhzxVFE5FaFsg3gE4Xjp1AoZhNmxYSNG4ZXKntg4Neg+G7eaedTOZUBGQ3J3fj71m6T4asL#S47mxvf3oP72OfAOPauqNvqFrpitobxTTWvzxxO#8Ax8HuuewrwsxxkYwaim2bYSg51Fd2R538VfE+veG#EFlcWohtw0Jiklhfd5kZP3WzzxUk3xn0O40h7SC2mW48uOOJk4Yv3z7ZryLxxqepal4nu21SD7PcI+Ht1b5UPt6VzisV5BweoPpXzsaKcdep9C5WaXY+tNZtYtVtUdblZZ4ETzo15KMwB5x9abp9rHa6LfRygIu3cxJxuHpntXP#AAo1VLb4bS6hq8iJbxudm8jdKR1OT1PYVn6n8ZLCw1G#tw32zT5oQbcxoA8bEfdJ6ZFdccW1R9kt0cEsFetz9DqNEt9P1BvtmkSyMsBw4kTaV989BVT4oyzaT4YXVLeCZLmFg6XSSZRGHTA75zya8Q0n4halosWrQW7PPHqAKkTOfkU56D15600#EvxI2mDTZLlJbLy#KaGVN6kevNZ1qlSurTVzejQp0ZOUHbyKWmeMdYsfFEeuC5829zgvIMkj0r6WtNL8#wAMWd7fTSEGMzzSTYVwrHPI9B29q+VLPUHsr9byGCDzEYMqumVU+wrq3+KvimZbhbi7WQTW5tyNuAq+oHtSV4T54IupCNSPLI99tdOggi+1icfZCu9ZkUsCo78VHfeIrOHUrCazuU1IXSCOOzC4ZSDxIAevfIryTQPjDLp2gHQ7i1dLb7MYllib595#jP8AhXP+Aftdx4yguW1hLSNWIe6kcZAPXYD3or1alb4tLdSKGHp0b21TPWtT8ONda#JFASRI+7c4xjPXj+lReIvCNro+lLIt15l15vIPGVx2FdxHc6ZdXF1cLeq4tHWOeTrjI4Zj71ka6+m6pqM1mJI1naITWXltuEy#xZPb6V6dPM2p005afqebLAvkm7ar8jyt7cgmmeVzXTz+H70273It28pBlnPFZDW5Br6KFWM#ha+R5uq3RSWPnGKvWseGGe3NCw89K1NLtUmu445G2RsQGbGamc+VXJfve6up1On2dv4g+xjULfMkHypIo5Ix0zXk3xD8Enw1cSauL21gDylYbSKQu6t7ntxz+Nehal4mvPCw1C8tNMuAlrD5UUh5EhJ++R3x7V45458UReKtSgvorb7M7xg3EYJw0ndvxr4+rKE6jlBW1PpaEJ04KM3c5VyWJYnLHkk0lFJSNAooopAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQA9K9d+GviZrfSU0WHw7JcLIJDJfRr8xbqFz0xj8ea8iXkV7L8E3v30#V0W#+zadARLOroNpJGOGJ4NHXewpfDtc0PFpjkvY2ihWEmJS8S#wH0PvXGXCHk16Xq3h+OeyS5gu45ZpVMgj3ZJX1x1B+tY+ieGpNR1OES2cktqWxKdh2gH+tfVYbEUVR3vy6M8CaqRqPmVrnnMwwSKpvW74hsRpusXdoFdVjlIQSfe29t1YT9TXandJ9zogyFutR1IetR96k2Q1ute5fs5#8zL#ANuv#tWvDW617l+zn#zMv#br#wC1a4cx#wB2l8vzRvS+JHgzfeP1pKVvvH60YrdIQUUUuKYCUvaigCmAtFGKMU7CCjFKBTse1OwhAKXFFLg07BcMUClwaUAU7CuJS0uKMUWE2IKdijAp3FOwriYpQKUCnY4ppCAClUUoHrTwuTTSJbEA5p6pT1SnqtUQ2NVaeq8inBalRKCGxETmrcURPOKZGme1b#h8W5vUjuLT7RFL8hA4Zfdfepk+Vc29jGcjPjgPFX7eIhhwa7TxJ4Rj05knskJtXUbRnJX6n1qPQ#DpmvBHdwSiJoyQwHK8ZBPtXP8AWqfLz9DNxk3Yz9O8xGABI46Cu60VIbmymtZ2kBmXaxTrt9vQ1T0rRGsruOVkSeBwPmAypBpl74x03wz4i#svU4FtLV0YQXZBJZuzAegrx8diaco8ttGdWEw9RyvfVHG#ED4Oajd3r6pomxom5KSyfNjHVmPevGL2xewuGhnaNpEba6RtnGPeuv8AF3xI1vXc2X292gjJTzYyV85QeCR2rhWJzknrXiwUlq9j3Ht5l+91m+vbSG0kncWkHEUCn5V#+vWdk0ZpKskKKKKADNGaKKADJpQSDnvSUUAdFo#jHWNHsruygunNtdoUlQnJOR616T8GdS0yynkjvNSE93dSCNLYrkqCPvbj6eg9a8VB5qaGeW3nSaF2SRDlWU4IqXFNaD30Z9X6nqWn3cyaRZ3u9Zg5XJ#5aD#lnjsfrXH3mmSw8vGyg9DXFfCrxfpGha1PNq0bvPcht1xI+VUd8A969Ts9RtvFemyXVj5n2JJtls8vWQY#U5#Ku3L8W6M#Zy2ZwY7CqpH2kN0csLc56Vp6baF5sdBjLHPRRUz2bRyFWHIODV#ToRGzTNkLGpYlRnj6ete7Vq#u249jxYR5ppMzdT+Imkado91p1zMrzSORaO0W4KFHBIPfNfO97cyXl3LcykGSRizbRgZ+navV#ib4ssr3Ro9L#scW+oqebgwbQyHnA98YryFulfLLV8x9RZRXKhtFFFMAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigBy#XFaEN9qEWjSWkUkkdlLKGk2nCuwHAP0rPGMV698HrSzv8ARdasNQhsri3uGTEMsoEm9eQVXr+NGrYOSSuyt8KNdvrOS5spNMuL20vmVDcqpbyCOvP07V7BqMUy6WP7GuUhkV9kVxI#l4U9VIPGfrXK#wDCSweHLV7HSrXyIxMJBGDhYyOuPXPNc#4i8e32q2kloIo4Ld87h94n0wex969LDZdiXJN6R37nnVsVRnfl1exyOtvK2qXXnTefL5pDzZzvIP61iueaszPkmqjmvpdkY01ZWI2qM9aeaZSNkIa9y#Zz#wCZl#7df#ateGmvcv2c#wDmZf8At1#9q1wZj#u0vl+aNqXxI8HI+Y#Wig#eP1o710iAUvakFLTsAYpcUdqAKEhAKUCnAe9LiqSFcbilxS06nYTYgFLS9aMU7E3AUgpQKdigBuKXFOA9qXFMVxuKcBS4pcUWFcQCngUoFPApktiKualRe2KRRU0S9Kohs07DR5L61nmh+YwDc0Y+8R6gd6ha0ZRkq2M4zjqf6Vr+HEuxqcUlmoaaM7gGbAx6V2vizR7mSOJ7eyWO38rznMYAXeevPesZVeWag+pzOb5jzDyvb8qesVX3t9v4UiwZPrWydw5yCNMHitG03RupUkEdxTEtzgHHXoatwxEY4qW9LGcpXOs0bxFf29ulqsgaAEEI43c56#Wux1VNW1DTgmmGa2mdPOnLY8sKP4B3BbpXC2WmXUcSXBhYQsflkxwa9A0qxkubOa0vZHlimg#eKjkMI#bv2r53NaNGcNHY7Mvq1IVb2ujy2H4z3kHiKwt7uxFrFbsbee3jYeURnj8RXG#EzxvN4m1ue1iuPP06CUmBmUbgPTPpTviTB4VtNVxoBuHnkJMolOBHjjGPWuBbrzXjRgnaXY9yTt8w3GkJzQaStCAooooAKKKKACiiigAooooAKUMRSUUAO3GvWPh3441S6fT#AAvJc21tbibzPPkUAgD+EfWvJakDkEEcEdwaUoqSsxp2PrHyYtQtkvrcIYpWYAo25QQSMZqWC3litppYfLWRI2KmQ4UH1JHauT+FXimLX7dbKYW0UwiESwoSNioPvY6ZNd7q8S2ugX0jLEQqdJm2qPrXZHEuWHcZPVHmzwvJiE1s9T5w+KGsanqHiCOz1G6tLk2kYWOS1OVKkdz3PrXCGtLXpkn1y9kjhhhUythISSg+hPas01xxVlY9KT1EooopiCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAHqMivZ#hjZaFB4e83UrvTY9VnkMlpnPnoo4ySP0FeMorNgKMknAHua9ftPhNd6ZrOm30Ot2trG0KXMcsy7mjlwCVYenWi7T93cUrW952Rty+HrvUtSNuuVaQk+aVJHTOTXn17uSZ425KMVOPY4r23xHrTabosl297DaXWwpH5REgmyOTjtk#lXhVzKzszMdxY5Y+pr6rAVqlaHNJaHiukqc7J3KkrdagapHNQsa7TeKGNTTTjTDUloaa9z#AGc#+Zl#7df#AGrXhle5#s5#8zL#ANuv#tWuDMf92l8vzRtS+JHhB6n60cUH7x+tFdSJuFOxQBTgKtIVxBSgU4AUYp2JbACl604ClC00hXGgU4KaeFzUip7U7CbIdtKFqYxkDpTdp96dhXGbcUVJtNGz2osK4zj0NAFSBKdsp2E2RgU4U#aKcAKBXGgU8LShakVfaixLY1VOKsRryKRY#ap0TkcUzOTLlmzI3Bxn0r0bQNUsb7R20e+d0DfMkskhxv7DHYV53DGRzW#pEBmuo4g6IW#ic8CsK9NTjZ9Dmk9S7d+HL6K5aBrZt4Uvgc#L6#Ss2Ox+fG2vY4YWu9CFvcTRySGMpuU4yR0Ab09qxT4PItkaMK9wDlyrAjb2NedTzGLbhUdmtDSWGqJKUFe5hazolrFo2mXECZlkjPmP6#hWHHZkN0r0u5tbC3s4dOuyLXzPltnm4EjHkgHsfY1WbQolsZbVIw93FKGkKjlQegNZUcyp6xb62NKmDqr3raWuZvh+8mgjW1Zd9tnlW5C#SsT4g2nirQY5Nc03Vd8DurOzsF8tF5VPr7d67XSLA2lyyOoAJ5J5x714r8VtSlilext#EX9o2txMXngKbSsinrXmZg4zmrHoZcpKLbPNtR1GfVNRuL65Iaedy7ntk1TPWikPWuY7QooooAKKKKACiiigAooooAKKKKACiiigAp2abRQB03gnxBL4f8R21wkhSMyLuPYc8H+f519S+Nr6NPh5fagnKTQBhgA4yK+NgeeuPevf5PEj6l+zhI5kJnhAtnJ68H#Cs6lRQ1fXQOXm+R4E7l5Gc9WJNMNFJWgBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABilxQKcBketAGjoL2EGr21xqsUsunxSBpkjXJYf3fxr6En0tNa0u1vNPRrLTJrczQJI2digZ65rj#AIT6TY3HhrUtohvry4dVntJIf9UAcod59TnirWu+KSlhc6PbWUdqpcrL5bkqmDyqDsM134CnWdTnp2ts#I4sZOnKPs5XTOPvJ2ZySSecZzWXI+cnr9asTvkmqbnivqdErI4oJETVGx5pzUxjzSZuhhpppxppqS0Nr3L9nP8A5mX#ALdf#ateGV7n+zn#AMzL#wBuv#tWuDMf92l8vzRrS+JHhR6n605RSAZY#WpVWu1IhsaFp2M1IsZqQRn0qkjNyIdtOCmphEfSnrEfSqsJyIAvpTwlTCE+lSLEemKaRDkQpHmtnR7KO5uDFIpIdGUfXtVOO3ya6PR7G4ttQgkMTblIbAGePWlJ2VzCpPoc3NblGII5HWoDHg13Wr+E761uZXuI#KiIMiuehH+NcrJbYOccdqIyUlo7hGp3M#YaAhq55HtThb89KpFc5SERNP8AKIrY07T#ALTeQx4B3OB83APNW9b0f7Bqc8AKMA3G05GKV1exHtVeyOc8vB5FKI#yq8Lck8KfypTbsOoP5VQ+dFNY8mp0ixVhLcntVy3tTuFJkSmQvp8tuypIpBI3Aeo9aVIOc13V3BHfeFLKRVCyWzmJ1A6emT3rDh0uaUsY4ywQbmAHQetYxqpq7MnJ3DRNBn1aWSG3I85E37W7jv8AjWhZadIs4iK7Wzj5hwD71LpFtcW06T2+8GI5DjqtejLplhfW8FxIUinmI3ux2739MetcWKxioO8no#61KpUZ1naI7w7YXlnJ5EhLRAZAXBU5715L4v8AFmreBfiJut0jg05pFke2hk3LIBnj2znmvRvHN9aaP4AubyKd8oNkU1vKA6NngH1Ge1fK+oX91qV493eTNNPIcszGvmK01XqOXT8z38LB0aVnuztPFHxS1bxO6JIBDFDP5sOG5AzkKfp61dtfjFrR1Rr27wWe2+zjyjtx#tH1IrzQUo7VPsoWWhtzvqfYPgfxbpfi+zM1s8a3MSjfEp5xjGcH37V81#Ee+e+8cagWcN5UhjBKBeh6YFVfBPia48KeKLTUombyw22VAeGU8Gs#xDdC98QahdLnE07OM+hOaPe59dhcqSdtDMPvSHrQaSrEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXYaXrhi+HWr6OWb95OkoGeK4+rdsxFncjIGQvB71MoKejKjKxWptKaSqJCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoooHWgAxRinUUAJXV+DPC97rVyNRWwa606xmT7UBJsOCex7464pnhTwbe+J7gNk22mocT3rj5IxjsP4j7CvSpb+x0PTX03QoEt0khSO7mQnEzL1bB6E+1dOHw068vdWncwrV40lruavibX4dF1SaPSVg3ywhXkjXZg44yB1OO#vXmtxMWyckk9zVi5lZiST9ec1nynNfT4fCww8OSC9fM8pzlUd5EDtk1A5+apGPWomPNdBqiMmozUhqI0jVCGmnpTqaelSUhhr3P8AZz#5mX#t1#8AateGGvc#2c#+Zl#7df8A2rXBmP8Au0vl+aNaXxI8NH3jWjbQwMgLy4P0rNB5P1qVHI6V3RMZq5spb2p#5bj8qvGysBaRuLgb2Yhhjt2rnllIqQTH1NXuc7pvubaWtkQ2bkcdOKelpZ4z9oGc46ViCc09Z6diHTZ1Elhpy2MDrOu9s5461CtnYeUG+0gvnGMdKwRctjGTinC4OaXKR7N9zpYbOxzGRcqSevFdxey6hoXh2K88MaQmsyLBI0l40gzaEDsvfHWvK4rkhupHqa63RPEV5Fe2wtXEO3CqB09zjvXJjcPOtTtF2CDVOalJXRm#DbXdV1qXXLPUr2W7tXha6dZvmAlz98Ht9K0PsOnPcKsl2ACwB47dzWlqHiayjS8srWyhsoJ3Z5Wt0CtLJ#ePt7Vxc10dx5#H1rPAYadKnaTKrzVWpzRRttYacJpF+2AKudrY61fn0vTFsrBxcKrSKS7dc89fauP+0n1pwu2PcnFdrpya+Iy5Hud3ommaXJq6Rm7DxhiVO7bkjpz+VWddsbd3hnvIV066lBMsAl83Bzgcj1GDXG6Teqt7AZAWTeOAcZ5q74h1KKXV7hoDJs3nhjWEqUnV5uZ2sTry8rNm20zSkvbPy7xXZmUlDzk56VLf6XpTape+ZdLGQzEIBwprio754pA6Nhgcj2NOlv5JpWkkcs7HJOeprT2Ur35gUWdhpGm6W15bt9rV3MgGwqTmtiDRtFa6vA12mFVjjGPLOa85gv3hkWRGKuvQg9KuQX8hcsWOT1JPWplRk#tCaPXbO1e2i0210#SIr7T7qTN7dmbH2cDo23vUun6ZpsZnaGZJGkRlkXfjavr#APWrk1u5tL8KwuZmSW6l3hc8hB0IrKtdfltmn24ZpkKMT79681YSpLnal1NXWhaPu7I9JsbCztfO+wRpdSGMDyDJgMK4v4w6z4isfDxsrTSBHpzqPMu1fcYyOmCOlQ6VrM0O9YmPzjaWx834V6DcQWeo6FBZ6u7SW0u1miOAH9FYenevMzHCVU1K7l5dzvwGIpr3XFLzPkcavqLWFxaG5me2lIaRGYkZ9azjX0r428B6FZ#DvUDo9tbWz7vNe4c9cc7Qf6V82spB2suCOoPWuKL1d1ZnpXTV0xlGaX8KUD2qxCKSCCOueKdK7ySs7#eJ54q9oek3Gta1a6daqTLNIAPb3putWzWetXls5y0UpQkeopc2th2drmeaKWkoEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABS54pKswojW07MMsoGPamlcCtRS0GkAlFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABSjrSUUAPABPWvU#B3g#wNqCRSza#9vv8AaG#s918kbvTcfvfQV5VmlDMrBlJDDoQelOLs7kzXMrJ2PfdYeSFVtFiW2gi4SCNdqqPp3+tcpdFsnNUfC#xABWLTPEzGezPypecmW3GP#Hh04rptZ0Oa1hiuo8yWs8SzRy+it03AV9HgsZSmuT4X2PFr4adN8zdzk5qpy9TV+4jK54qlIOteqKJVbpUL1O1Qt1pGyIj0qM1KajNSaoZSHpTu9NPSkUhhr3P9nP8A5mX#ALdf#ateGGvc#wBnP#mZf+3X#wBq1wZj#u0vl+aNaXxI8KP3j9aerVGfvn60orrTJaJQ3pTg9RCnA1aZFiYPTg9Qde9O3EU7iaJw3vTg5zVcGnBvequTylxJOetbugT+XfrJvCmNS+T7CuZVsHipkmKZwSMjBxTvpYynC6NK5uzJK792Yk1VaXn+lVzKT37U3eaBRhYseZSiSq280bzQVylxZypBHX19Ke1wW6sc+tUhJ704PTFyos+bThJ71V3H1pQx+tBPKXFlxViKYjoeazVepVc+tBLgjprrXZryGCAkiCFdqJngVVS4z3NZKyVPHIc0lFLYydNHZ+G9XtdNujdXUPnsi#uk9G7H6VqR63LdXvnTux3vlgP6VwsEhBGD9K3tJkiFzG04YxZ+YIeTWE6MW3NbmMlsmes6Zc2Grn7NJZxPbhQFSXkH#wCvmvCfiP4eN78SBpemaO9rLOwUYOQ7N0PoM17zpL21poongWRIgrPtfGT7Fv6VQtb7RdPU31paL507#OZG3PuHIYk9+a+Tq0Z1KzlQjboz28PXjSpctR+Z8w6r4X1bRHZL+ykixKYVY9GcdQvrUtp4P1q6nMIspInWLzj5g2#J3NfUGu6XZeIorafU9gtLV1lQRqMynrgnsAfzqR7m03TayscbmUCBQ6j92o#hHsaxjCvN2UetjoeIoxV79Dnvhd8NLXwrnU74FtRZMJvA+UEZyK8D8eWv2bxtqgH3XmZxgHHJ96+pNO1Nrq5ypIVRyeuB#jXz78WI7CfXRc2epXGoTkt5zyRlQi54HTrTqUfZTSluwoV#bRbR5uaSnHrSHrTNBKKKKQBRRRQAUUUUAFFFFABRRRQAUUUUAFFFLigBK6HTtJkm8Iapqn#LOJ0j#E1z+OM17VbaAbL9nS6uXj#e3Mon6ds4FZVpygly9WVG3U8VoNLmkPStiRKKKKQBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAPz04r0L4e+MJtPjudBa0ju21R44klnl2iJQeck9sdBXneafHIY2DqcMpBB9DTTs7oTSasz3Hxb4X+w3znT4pJLYR73wv3fXHqK4WaPHTn3r0H4ZatNqek32pXV#Nquolgk1tKhxCg4GG6YPTHtWHr#AIa1CyM929kYrcSEFQc+UScgMO1fR5fjXUhy1NzyK9H2c#dOOcYNQN1NW5kwarOK9RhF32IDUZ61K1Rkc1Jshhpp6U48U09KRSGGvc#2c+viX#t1#wDateGGvc#2c+viX#t1#wDatcGY#wC7S+X5o1pfEjwk#eP1oFIfvH60ZrqQh3SlBplLVJiHg5pwOajzS5ppiaJAc0oJFR5pwNO5LRIDTgxqLNOFO4rEm6jcKjye9LmncViTNLmos0uaLhYlDH2pc81EDSg07isSg04NiogTS5ouTYmDZp4b0qANTwxpiaLCvVmNulUlbip436Ypmckatty1d54c8PfaLdr+7mEVoi5LIw3Ej+HHqa43Q2jW7XzLU3IbgRg4ya7#AMR6hHpOnR6XFYpHbyRLLjkMH+vfFcuIlJv2cd2crWo2#wDGs826DylFps2CDPHs31rn01E785596w5bnLH5qYs#I5q4YeENIolpy1Z6fq95Hb+HNLWCbIkQs2D1571z6anIQU3ttJyRniubN9LJt8xy20YBJqeG4OetZ06ChCwptt3PQ9AlupZlWHOCfmI6D6muZ+KWu6JPpFzpNnpjXVzLOBPNEMMJQODwORWlpviKeHT0sYVSKMHJZfvN9a67Sv7P1CaS7ntYfMMSJI7qAoK#dcj2z1rwsyoVG+e2iPTy+tCL5W9z5ElikhlaKVSjqcMrDkGo24Neh#FDw3b6Vrb3lvq1vfTTsTcrGQCjZ449MV56w5NeanzK6PVaG0UYopiCiiigAooooAKKKKACiiigAooooAKWkp208cdaANPQdKfWdatbJQcOw3Y6gZr6r8Z6THafCi50uMIghtVTHYYHNebfB3wi9jcHU9Qt5o5ExIUfACj+Bh39a9Z12Q3vh7UYlSSQunKxkAn6ZoiuaLl0RE6ijNQ7nxiVIODSGtDWbSSx1m7tpopInSUgpJjcOe+KzzR0NGtRKKKKBBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFKKSigDovCtzqst7#Yum6p9gGpOkbsWKqxByoJHvXvU32XR9ETRNaiWWRbdlupkcv5snXcT3Oa+aIXMbrIM5VgRg4r3JvG#gmebTtMdLnYlshlktkLZlIHyLnknnk1tQlThU5qmy7GOIhUlDlp7s4a5hIJHFZ0imvXvEvhPSRokl3DBLY3CjdGAS5mXGckdv6V5PMmCTX1WFxMMTDnhseZySpy5ZFFqjYVMw61C1btGyI2ptPNMNSUhvevcv2c#+Zl#7df8A2rXhte5#s6f8zL#26#8AtWuDMf8AdpfL80bUviR4O33j9aKQ#eP1orpQhaWm0tMBaWm0uadxDgaUGm0Zp3EPyRS7jTFNLmncLD85paZmjNO4rEnHrSA00UuadxND8ilzUYpc0XFYkzSg5pmaUHNMViQHFODVHSg0XE0TK3apkbBqsGqRWqkQ0dNouqw6Ysk4j33gGIGP3UP9760XWt3d5GVuJ2kXcXG#nk9celc8HI708SH1pcqerMJU76l8zds0okzjBqkHx1qVH5qhOJfjkORV+3bLCsiJ8Gug8PWsl5fxJHGjBTufzDhQvfPtUyfKmzKasbel208joViZhweBkV3mqX0Gj6QUvrKGSG5i8iWGPO9Xb7mQOinv6Vna1r9rotvHpekbI9mGZk5GfY9xSaR4ok1Kdra8MPkNGTIXUc4HUe9eBjqdfE0rw0R0YSdGhU97U8ef4d+IdR8U20d1Y#ZGvpCVhZ8sqA4P4Vzvi#w1L4a1+7sgWlt45CqTBcKfbPrX01p2ui5uba3tgX8pBGJXGZNo965zxf4R1Xxzry293MLXRbZWlWWOMYlwO4H8VePOlVpW5#uPXp4inWb5T5o5ptbGs6FdaRMS8Uv2V2PkSsuPMUHGcdhWQwovfY0EooooAKKKKACiiigAooooAKKKUUAGK7TwP4XTUdUs7vV7G5fRZJDE8kYON3YH2zUvw#8Ah#P4yvWHmxrBGDvG#DqexI9K9p0C0uvDOgPpF#dJcxW1wDBLGB+8GO#qPSp1nL2cN2EpRpx55bGpZRpo2nQ2ShxJGpjLu25toJ2qT3AFTNcLJp92jJJIpjOViOG#A+tc9LfGSUsTjJzV3T7pixCSCNypCuRkA9uK9l4TkoOB4X1hzrc58#eObOG28SSyWlneW1rMAyfa+Xfjls9wa5k9K9a+K2jeJLjT7bW9WeNrRD5UKCPa6gcHPtxXkrdAa8aD0PfluNoooqiQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigB6kgGvXvhp4S0LV9Hj193vYL7T5SrlR+7ZuquD6juK8hXkV658GtNt7+K#mmhu5Gs2EgxcbYVyP4l7n3ppJtXJm3GLaO3PjSSDUvMumL2+GVgUBJBGPwyea8kv9slxK6ghWcsAewzXoer+Hr6V5pY1WQCTa4Rvuluma5PWPD2padzd2cqLz82MgY65I6V9VhPYJJwtr5nh++pe+ctKDmoGHNW5lIJBqswrtOmLuQmmnrTjTD1qDRDTXuf7Of#ADMv#br#AO1a8MNe5#s5#wDMy#8Abr#7VrgzH#dpfL80bUviR4M33j9aQUH7x+tFdAC0UUUxC0UlLmgBaKSiqEKKWm0tMBwNLmmilzTuIdmlDU3NAouA#cKM02lBp3JaHA0oNN4padxWHU4Go804Gi4EgNOBFRA0#NUmS0ShqerVADTwcUyWiwGqQN0qsjVJnFMhotxvirsFy8YIViAeDg9azENWEbigylG5sJclgBk#nV63uGBHNYkbcjnmtC1f5wM45wSe1S0rHPKKOr027mikBjZkbHau60GRzAZ5LkRxpy+e3ufasLSItAstLikuZhd3TnG2PIC#WugnksrDR5vs+nvqDXCCOGBW4nJ52k9iK8DMcSowfunThKDlNK5yvxJ8e+F7INpd7osWpXAG3IIxjsQR2r57vGtLi4Z7OFoFdiREzZC+gBq#4t+1f8JLdNdWP2GVmz9mzxGOwFYnbnmvFpxS97qz3pae72HzQyQuUkUqw7HvUWOK988BeEdP8bfDdYNUtF+3W5ItrjGCVPTJ7gVymo#B29OrXtrpk26GzhDSTzKQhbuA3pSU+4WV7Jnl1FatvoGoXq3ZsrdrkWh#fGMZ2j1+lVxpV+wBWyuGBXcNsZPHrV3XcVmUqKnS0nlmMUcEjOOqKuTVhNI1BxIRY3H7tDI+YyMKOpobtuFihSiut0v4da9qdqbz7OsFoIPtJmkOF2f41B4OtNDvfEMdnrMdwbV2x5sTY2c9WHpS5kPlZg2tlcXZbyIXcIpZmA4UDuTXpXwq8F6R4kvEunuTJPbSgyWsqYUr3Oe+OK9e0rwZoukW2p2FsyJb6gQPuDKx46r7mqMPhuw8HajdTaexsraKIL5O7d9qcj72e2PSptObjFJ+8R7SCUmnsMt#COm+EdebU9LnMcTK7XDRc+Y5P+rI7LVHUdae5iSIhVRPugUt14ukl017JoYyrD5XHUH1rmJLrc1fQYDAezvKqtTxcXi5VmlB6GmLnLda09MukS4UuTjpkdR71zCTZPWtbSpI2u4xM+yMkbmxnivQrQTg7nDH3WrDfE3g#WvEOl3VzNrd09nZMwdHBYyrjK4A7dq8DlVkco6lXUkEEYxX0d4gvfFbWGoWWleVGiRiW1eFuXQdSPUivDfFeg6rod#D#bAxd3UQnb8fX39a+R2bR9SruKbdzn6KXtSUwCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAHL9cVrWeuapp+iz2FrPJBaXUoaYocbyvQE+1ZK8ivU#hTaaNq2m6to+t23nxTlXhIRt0bqDyGAwPzoav0BtJO7Lnwr17xdelrG0aGbTLWYS3E1wm5owe4PcZ7V6p4iktY9Bm+2rLfWvmASGEhN3rx1xXORDRPC+ktHpKvFLMu2eGNsJIw4DEdsfrSeHvFE7aja2k0cEyZKBnTJQd#wruw+Bq29ta1jz8Ri6b#drVPqeT6okK3cxt9wt958sNyQvYGstxzXR+KZ4rjxBfSwiIRtMwXyfuNjuB6Vzr9TX1Cd0mc9O9iA#eqM9alPWo+9Bshpr3L9nP#mZf+3X#wBq14a3Wvcv2c#+Zl#7df8A2rXBmP8Au0vl+aN6XxI8Fb7x+tFDfeP1pK2AWlpKKYC0UZopiClpKKAFopKWmAopaaKWmIWlpuaWmAuaXNNzSimhDs04UylpgP7UZpoNL2oJHA06oxxTwaYmPBp4PNRA08HNNEtEgNSA5qEGpFPNUiWidTViM5FVlHNWI6a1MpFqPkVoQHpVKFCcDv39q04Ic47DuTSdkc02kalk7bh2#GvSfC+qOzwxSmNEjHyDb1P+NcNokawXcbywCZB1Rjw3416Xa2unR6i8MUQS8jt1nezwQqhuAd#TtXjZlUpJctQ0wkZuXNB2PHvjRpbS+ILQ22iyQvcZLTE5eQ55P0qjJ8FNZtLCTUJLiDy4kSUK#AcHt9a94MFtJfS6jPDHNK1v5EYVsoFzyoz#ABe9ZtrrUN5qi6ayr9mYbUSTgjHQfWvnKFCtOElTe3fc9yriqVNxUupFHFY+GdIFvYyNFHMEkW2H3YjtG4A#WrlrqM97pF2fNZAVKqUIGTXGeJtUvft7wXgMZQkqhAyAfp2rPtfENxbWdxaoymObAbPb6V7tPLubD269Tx54x+25+h1Ph#R9N0K3vbVpbe7fUBiZoo9uVPPX05qv8S1k0r4fSW+jW0FrGUCFoz+9A7Ljqc+tYumaq1vcxzgbipztJ4Psa7LTvI1+7jlurBJnhcOjgkbD2B9RXFjMudKHuL72dWGx7qVP3j+5Hyxpiah#a0H2ET#aw4K7AdwOa+rLWew1LwxDJOITc3dsbaW4jTb0+9we#r71hJ4SstO+Ja6ta+bKVUiVYYgqQN1CY6EEH1zT#FeoJa3P2SO1FtsJbCH5SDzwK5MJTWKq8nRbnXi6qoU7p6mzYPZ2uif2FaSCK02GLe672YnvXLjwHYaN4h0+fQh9o1WJDLcLLFtRoycFm9c9h7Vp+EFi1GadpSWWJMlV6ml8S+JpbZlFmjwOpAEzDBGP4fpXVWwHPU9lS0fU5KGNlCDnV+Qy#wDEMdpr7h3E0KEK+wYA9cDt9Kh8W6rpV7pa3dpcl5TLsCjtxySK4C8v3nuHlcjczFiR696pNcEnkk17tPAQjKM07OKPP9tKSaa0ZckuMk56VD52TzVQynpQsnFd6SMlDQvrL0NXraXnrj1rHWTtmr1pMqyozjcoYFh0yPSk+4mrI9N8MSSWjw3E2yLeNiM#Vl64+leT#FfUvDupXU0cMFzb61HKXl3N5iMOmAew7#jXe3r2viKGG6jklgk0+PItmb5Jh#d+uKqzfCbRBrQ1a432+kpCLgtJJmQsedrr2xnFfG4nm9tJSjZo+gwqhGlFqVz53OOP1ptamvWSWOs3UUTB4RIdjBSARntmsys1tc6LCUUUUCCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAcuMc17B8L08X2WkGXTra2Oh3HmSSySYBLrgbSevpge9ePqSOQa+jfBfh2fSfAlncCW5iNzEZGglkzEQed6g9PpTiuaSV7E1JcsHK1zH8VQNZ3iIyeXI8SvIg6Kx6ge1cjcTsM4Yg+oODXb6r4f1i6Rrr7NLMoBIfPUDv7iuHuoiCeK+uwso+z5VLma3PAa967VkzJnYs1U3q7MpBPt1qnIK6XbY6okB61HUrdaiqDZDW617l+zn#wAzL#26#wDtWvDT1r3L9nP#AJmX#t1#9q1w5j#u0vl+aNqXxI8Fb7x+tJTm+8abWwwpc0lFMQtLmkopgLRRRQIKWkooAWjNFFMAzS5pKWmhC0ZpKKYDgaU0ynCi4hRTu1Npc1SYDgKAaAaKZLHCnqcVGOKcKExMlBp61EpqRTVIhlhM8VbhHPNU4znFdBoen294zG4vIraNOWLDJx7ChySVzCbsjR8P2Nld3AgvJGh3jEcg6K3q3tXoQsdM8M6WiXscF9eA7ljJ4TPfPcVneGfDa2dwbub7NdWqxllVW3MR1BC1k+KNXhv70zW8ckfAUh2yM#TtXDUbrVeSL06nMnpdnTWPiLw9YQNJFYsZ5WAeJ2yo9x6UvibxgRcXNknMbbWjcHBXjkZHUV5hJc4Y#wBO9QtdMSCSTgYyTVrA0+fnepSnPlsj1jwz4hmTT7q6n#e2tnHwmMkMehx#WuG1LVmmvpJ4yybmLAbslfxqjpHiO50eR3hc7XUqyZ4b61lSXBckk5yaqnhoxqSlbcLSdk+hrXeqz3soknlZ3AC5Y5OBUcc5JHNZHnc9amjlJIrp5UlZC5LHa+HNPm1e+W2gK7wNxyeg9a9D07TINLWV576JoipjJV8ZJ45rlfhvNc+YQLVHtXJUTHCmNvY9xVTxRZ3djcSb45FidyEY87q8nERdaq6LlZfmXBqklNK50CeJNO068k0pJFjsIIykO8lgZB3J6n615zqGpTXM5aWdpSMqrE9qzri5bcTuP51RefJx#Ku3DYOnh#gVhTnOrrI6XRvEU+jXn2qFUeQLja5O0+5Fb3iDxiNT8MQQloZbmeRmn+XBix0x7V5x53HWmmfJrSeGpzmptaoa5rWvoXJJsk85qAyH1qAyZ6U3ea2tpYOUseZTg+KrbzTw9Nu4WLaSVaies5Wq1A2Tik1fQiS0Om0m5mhl3RMdxwPXP4V3g1KSDTnu9Qt57uHIjMUa7mIP8se9Y#gjSN9o99dWZKH#AFEjHAJ7g0y61DxHqtlqtjpVu1rc797HdiSQKoUBF#iHc18zmmNiqns0te534DBufvuWi6HnXxL1nwlrrKNJE0F5aARqpX92UH8OfXNeZEfnXoD#AAv16TxItiRFLIzK8uxuVyeQQOhrI8f+HIvDXiq7sbZt9spGGHIDY5GfrXlxa2R60jlKKXBpKokKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiilCkjOOKAJrV0juI5JF3IjBivrjtXRaj4#8SalqH2t9SliVcLFBGcRxoOigenH41d8E+CpfFOieILiFGaeytw8Cj+Ns8j8q5Ka1ntpXjmhdHX7yspGKWjY7aXPffhd4rk8R2mo3Or3QfU4nDCeeQIgUjARR0#DFakng9b#AFS8udYgZgYTKiR#JuPavOfCXwq1DVdGTVLi8fT5ElWVYmBBkj7MvbPpXudg8SCYR391diPYGaYgkADoK0w2InScvZbdWc2Ko05tOTszw3XfDN7plol9NGscMzHYhb94o7ZFcnIpBr2bxIfDes3zSXd7eC6dCAvAWMjoDXj10uyR1BB2nGR3r67D1ZVIXnuebB+80Um9aiNSvxUZrVnShh617l+zn#zMv#br#wC1a8NPWvcv2c#+Zl#7df8A2rXBmP8Au0vl+aNqXxI8Gb7xpppT94#WkrUYUUUUwClpKKYhaWkooAWigUUwCiiigQtLTaWmAtFJQOlAhaKTvS0wHUtM6UuaYDgacDTe1KDVXEOpwNMBpR60IlkgNSKeahBqQGrRLLEZrQtnOR046dqzY+taNojO4C8knAAGc1SfQ56lranongoNuuLtvMIjiKqIzlw544HesjxJZnTb5ovtEU+erxnv7irvhq1OmyNqd8Xt4LbHXIZmPQD1PesjxLBLDeGZpPPjn#eJMBgSZ5#AiuSKftnK5y3TaRhyS81AZKjkkyTzmoi5rrOiMSfzaQy1XLe9G73oK5SwJKkSbHfFU9x9aUORzQHKdBp+q3No6GKeSPYfl2t098dK9Dl14aT4aEGqS#a5LpAY4xy0aEckN0zXkSTbT1q3capPcwwxSybkgXYgPasatL2jXN0MnBp2RJcTKXO0nbnjPpVQyVC0uepphf3rYuMbExkzSbxUO6jOaLlWJt9G+ocmlBoCxOGp4eq4NODUCsWVbB61ZjkI5#yaoq#NTI1BDR0thrd7aQPbw3UiQvgMoYkYzn8K9F0bVDrFvY3D3KWt5bykLLGwB24G4MOp3cflXkELnita0mZWVgxyO4PNcGMwNPERs9H3FTryoSvE9V+32g8QSXAjhNwzjfOvU46c1xPjDRNc8bzXH2x4dP0+wDSy#IMMf4TnuTxVjR1kurhYg3zHuTjFdBceM9J0nRnlaSC+tt5W4hdsHaONwB+9zXi5hh6VJqN#eO3A1qs29LrufME8MlvO0UqMjKcEMMH24qKu48b6#wCHfFVyb7TrKXT74cOGO6OVe2O4NcPXno9ISiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAqSKN5HRI1Znc7VUdz6U2tvw1e6bpWr299rFlNeWsZysUb7NzeufagPU9m+HUtlonh5re2#tKDUPLLXVtdJtQnOCy#4VvwxaR4huryynsI3W+iEcgEYyFXoV7g0Xt0+u+Ho9Vt4o4Yp03hQwdmRQOpHfGOK4GTUp7WRjDM0TYxuQ#pXq4LBwxNHfU8vE16lOv7uiO717WbfTtGi023u0leM+VDsGPLQdm96o+F9XjFzIFu1hvCuLZZQTG7noG9q88kujuJJOScnnNEV2Q2N2M16dPL4U8O6KZy1Ksp1fbHX+O#D19G1zrGI#ILKJNjDaXx8xX2z+NeWz9favRPFGtfZNB0#TobpTJ5JF1bg71BboSfX+VecStziunDKSp2kXTWtyButRGpCeaj7VozpQw9a9z#Zz#5mX#t1#wDateGd69y#Zz#5mX#t1#8AatcOY#7tL5fmjel8SPBW+8frQKG+8frSVoMdSdqKKYBRS0lMApc0lFMQtApKWmAtFJRQAtFFFAhe1FJS07gKKKSg0XAWlpoNL3p3ELTu1NoBNNCH5pwPFMFLVITHing1GCKdmmJlhG##AFetdZ4Xf7NJJeSPFHCoI3Sd2xwBXHqxB4qZZ2ChcnA5A7VW5hUhzKx0F5rt3cqUmuHdN24Bj39qz5r+WWIQtKxQHIBPSs8yE00vxjNCSREaSRM0mTTC1R7jSbqZrYkLUm6o91GaQ7Eu6lDVDnmlzQKxMHp2+oA1G6ncLE27mjdUW6jNFxWJd1JupgNGaAsSbqcGzUWaUNQBIGp4aoQ1SA0yWiUGpUbpVYHmplbpQS0XoicjH6niug0ywubpS8UEjRr95wuVX61zkJycZ9+a9R8BjVba0mEVo5sbvGZG6ADvXPiavsocy3MXHmlbY6PTNBtIbtRbCRmigWWYqcjBH8J#vV5L8Wr7SLiCys9Oia2khzm2lixKMk5YnvnrXsGqtqMN5A9iNpaF4Xu0GDCvqF7kdqyP+FfaTcX+m6tLeR6nvRvtF3KTukPYgDpj0r4mWInXqe9G7jf1Pfp0oUYNp6Ox8vgFiAASTwBXZeJvBk2leGtF12MEx30X71D#AAuDjivS4vAfh6LxZMUs7qK1SAq0jw5Bc#ddAOPeuy1iwn1Pw1DoeleVNJCpiE06jftxglT0BrSF6icoLYJzhBpN7nycaK7Dx14Pi8Kap5Fvf293FgD5ZAXDY5yPrXI4FNa7DG0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRTwNxAVcknGKAJIYxJKqO+xCRufGdo7nivoG18FeHpfCuh288trdeQ#mLcLGR5kTdmH96sP4a+Djplump6pp9ve2V#G0MySqQ1sRzgg+vFbuomz0+3a3sGk2PIZH3tkL2wPaunC4aVerFNe6c2JxMaUNHqbdpplhoq3F7piyx6dbJIBZQyb9wP8bZ6H2ryq+mVpXK52kkrk9s1qz6tdRW81vHMyRzD51B+8Peuenfk17+AwMcLzJO9zzK2IeIkpSWyIJJeahaY0kje9VmY8816Ow4xCSUnJzk1Xc5pXPNRseals2ikMY0w9KUmmmoNEhpr3P8AZz6+Jf8At1#9q14Yele5#s5#8zL#ANuv#tWuHMP92l8vzRvS+JHgrfeP1pKVvvH60lagFKKSimAtFGaKACiiimAUZoopiFooopgFLSUZoAWiiigQtFJQKAFpaSimAuaKTNLmncQtOBptFCYD80oPamDmlzVITRIDTgajBp1VclofuPrRuplGaETYfuo3UzNGadwsPzmjNNzRmgLD93tS7qj3GlBoAfmjNMzS0XAfmjNMpc0BYeDQDTM0uadxWH5pajzSg0XFYkFPVqhBp4piaJgakVqrg81IDQQ0XYpMHrXcWXxAvxpk1hOkbwugWIR#J5ZHGeK8+V8GrKSEd+aipThUtzIzaPT9C8dz2tp5M3mSzghYGzwg9#XNdrcWl4mmytG5aIqHjto0wICeTz3zXg0M5Qgg4I54rpW8ZaxO25r11GzywqcALjFebictjKrGpS0ad#8AgDjWnCDpyd0zfn166cCB532IThQec1o2N5Kuj3l7CJ2ntSJEEJ5LDt7gjqK4KO6Jxlie+e9aun6lPbMDFMyZ9DxW2JwiqUnCOjZhSquFRTlqkSWngGLxd4oj1m8KQrJIJZbJk2bIfX#a59K868beFodG1+5i0uQ3lsuZWaJDsiBPAzXtllrtxIU6Ag7snv6##qrVs#Ddje6VqFpb7rc37gyyMRwBywz6HmvnamDqUI3lrY9injadWTSXofKBFNr1fxz8IL7TJZL7QvJvLLG4xwOCyL2OO#FeVuhRirAhgcEHqK51JPY62hlFLikpiCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKB1pQM07bx3+lADR16c12#g0+E9EmGq+J3kvJY+YNNgXOT6u3QfSub1LRbrR4rb7chinuIxKkbcMqHoSO2azc459aW6Hqj6NtPip4f8AEkkVjDb#AGSWXEccMj7VLdix6AY71YudFtdUid9Mv47h8tgAYRyv3lDngkV817ua9Y+HvxD1O30qDw1Bpf24NMBux8sKHqeP1NbU8VVofC9DnqYWnVu2tQvraWPcSpwDgtjgH61h3CkZHP1r6AudHt5tINjdWKMqjzvLt5Mq7egP614n4g0q50rUHt7q2a3c#OsZOcKemD3r6XBY6GJTS6HkyoyotJ9TnZKrvVmUVVeu81iRN1qM08nioicVDNkNpppxppqWUhp6V7n+zl#zMv8A26#+1a8MJr3P9nL#AJmX#t1#9q1wZh#u8vl+aNqXxI8Gb7x+tJSt94#WkrYAooooAKWkoFMBaKKWgBKKKKYBS0lFMQtFFFAC5opKWmAUUUUCAUtJRQAtFJS0wFpaSjNMQtLTaXNNCHUuaZmlzTuFh2aXNMzS0XFYfkUZpv4UU7hYfmk603NLmgLDsUdKaDS0xWFzS5ptFArDs0ZpMijIouA4UtNz6UuaAHZpRimUtMQ8EUvIpgIpwYU0IkBpwNRA04E5polonU1Ipx3qupqUGghotI#NWY3NUFarMbUzKUTShc9K1bLLFaxYTk8V2HhDUDYaouLdJhNiNldd2PcVlWk4wckYuN5WOt0rw7c28qMRHIxTeq5+UtjgE9q4v4jeLNR0JLfTLqO3kvxFvimt3Km3ZuoPZuK9J1DSr7WEv7CG8lgiRRJClvhTIxH3WJ7#ANK+bfGtjeaZ4iksr#UPt00S4Mu7OP8AZz7dK+LqYmeJnefQ9#D4anRj7u7#AAMifWNRuJvOe9n3n0cjHsPaqzTNcyAzuST1Y9aiY5NABp7Gly3f6Zdac8aXMRQSKHjfHDqehBqpjr7V754C0G18bfC5dP1WHz5bJi1tKANwUn#Vhux4#DNebeKfh7qWgX8dtGouJpVaQ28J3vAo6ByOM4qObuO19jiqKe0bo5R1KsOqkYIpuKoQlFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRS4oASijGKXBwDQAlKBmjaauppV7#AGZJqJt5BZJIsbS7eNx6CgCC2tprq6jt7eNpZpCFRFGSx9MV7J8Mfhlbz6mt#rww1pLiSykGCrfwk9iKt+GPA3hu88Gw6nYS3S3xmSVJrlfLMbAc4I+8v0rsDrsytCktx9oljAV5QoHmH1rbD0JVpO2yOfEYiNGPmeKfFl5pviFqFxIcpIQI#QKOAB24x2rhq90+JXhca7p8OoWUM82pSTCK0t7dcoI+rEjsck5rxi+0fUNMnMF5aSxOGKDKnkj0PeueOnuvdHTe65kUgK9N+CVlqk#jNp9Pk8qKGI#aJGj3ptPY#XFcLo+h6lrWoRWVjaySSuQPunC5OMn2rUuINf8ABviCfTLaa5ilikG7yQwEmO+O4pT1TiVG61PfNf1DUdMmla3ykTgqDj5RnrivM9Xurm#aNZ5Wl8sbUL9QPTNevrcrq3gm2u3R9RiuIgWZhjnHTA6YNcdpXhL+19Q2zrItqud7oOuO31r6LLsTSdH2kopWPAxNKUKvJe55dOmOapSfzr0DxVbeHzZj+yZDHPASsiyD5pCOMj2rgJRgfWvWhLnjzWKhJvRlZqjapGqJqbOhDT0pKU03NQy0NNe6fs5f8zL#ANuv#tWvC690#Zy#5mX#ALdf#atcOYf7vL5fmjWn8SPBm+8frSUH7x+tFajCiiimIKKKKYBS0lFAC0UUUAFFFFMAooooELRSUtMAFLSUUCFopBS0wClpKKAFopKWmAtFNpRTELRRRQAuaXNNzS0xC5pc02jNADqM0lAp3AXNLmkpc0XEGaXNNzRmmOw#ijim5pc0CsLS5pCaTNMVhwNOzTAaXNArDxSimA04GmJocKcKYKcDQKw#NSqahB5p4qiWiwp5qxGaqKelWoTg0zKSNS1haRgqglsdB1rodJ860uopoiUlRsg+9a#w2ubB7zyLuzjzAGnF0D8w4xg+1dlHo2k6jZb9Os2WHa0n2ksPv5+4R19683E4yNKXs5xsvwMVSlV1i9ewaNqM91FLdX9yEtw2JHJ6Z4JNeN#Fa78N3GpxWulW7w3VuNpdWDRyDPXPv1zXt+mWS6ZDJLdQiS3VfNYqNwYDuPUV55q3w3XxhdXniNLhRYyAm324jLAHowHTPavmcbUj9YvfS2lv1PawMH7F30dzw2WzuYWG+CQbhlfl4I9jWv4Y8LX3ifXY9LgxHIxG7fwQPXB619IJ4d0U6NpFnIiv9nKNmWIB3A5CH296rzaHo6eNbPUbIzrc7pGmmEZHA+7sIGMA8VhKpKMU5LRnRHllJpPYqeG4YND0maEJi8tm+ySTRZSKQL0Kr#e7E1ft7rTrd7nWWs1e6CEPJnJ2nqceo96o+LJ5LeeNmmUrNllQH7v5cVgWesvbO4GGVxtZWGQR6GvboYBzwtr6vW541TFtYnm6GDpvw7fxZq2q6lf3gksvLd4njI80Y6fJXH3#AMNvEdrYjUItPlms2UuHAwVXOBn34r2#R9Qje4gSG3ht8AoDGuMA9vpXEfFnXtZ1HSoDCt3BYLIYpACVUsp9BXm1aE6FlUerPSo4iNdvkWiPGHRkcq6lWHUHtTcV03gi0t9V8TW9jfwSXFnMcXATllX+8PcE11fij4Rz6Z4jg0rS7rz5blmZEIzsQD5cnuTWfN3NrHltFa+seH9T0O+Syv7fy7hhuEQYM34gdPpWUylWIYEEdQR0piG0UUUAFFFFABRRRQAUUUUAFFFKOtACUuKntrWe8mWG2hkllboiKSa2PD3hifxFrB0mK6t7e8JIVJ2xuI7A9M0XQGDUvkSLCszRsI2OFYjg#T1r2XQPhLZ2XimfTNcMjpGkc0dwgygP8SP2IPTNY#xj0e5i8RQTWlk0GnrEIbaBF+6q#wAQA7H1pX6gmr2W4vw68HeENcZJL7XQ92v37J4iqnORjPc5r0230rT9L8Of8I#qESXsdvKZIYiwQH0Vj3xzXkPwo0S6vPGIAvDYPCpPzEBi2OBhu2a9N8QLdRRReed9yiHz3Vfl3ZrpwlGNaq6cuxzYyrOlBSi#kP8AJTw5Z3Si6iNpOmLK1QEiPPLYPpXMm#IfOe#QVQu7yRyAzk7eAD2+lUDcZPJr6PB4KOHhypnkV60q8uaSsz0rTvGCuIBcIySwH9y8DbQvHIPrmneI#Ctt401nRNSlneGGNij+SBiN87hlT2Pc1xvh2a3fVYftVzDBAjb3aXJBA7cV6CPGWi2+rLp1v5f2F2y04PygY6V5WYYBNtUI+9u#68zqwuKnBr2j0Whcvbyy0S9W5is4UvhH5JmjQKJU9cdKnkvNFE0WoXD2zXiRMSWAJYuO#wBK4HxD4wGrwrAsCq0MjBJl#iTtWBHeMWGT+taU8ohOknNWfl1InjaiqNxd0eu6ZqlnfX8bQwPFOUMZ8s4QjvlemfenaxFejTWh0Ex7Y3JkCth8+nvXNeCby3F8UmCLK3MMrc4b0rG8Raxd6T4mnmCvEyyGRY2bt71MMCliXGkrW19SZYiU6V6mrOX1vR9Sgldri0mUsxJLLwT7VyM42k8Y5r0W18c38t6Vv7kNbyBg2VB2Z#iFefahIJLmVw24Fjg+ozXuQc9pfgTS0dig9RHrT2PNR5qmdiGmmGnGkqGWhpr3T9nH#mZv+3X#ANq14Wa91#Zy#wCZl#7df#atcGYf7vL5fmjSn8SPBW+8frQKG+8frSVsMWikpaACiiimIKKKKAClFJRTAWlpBRQAUUUUwCiiigQoopKKAFooopiFopKWmAUUUUAKKKSigBaKKKYBS0lFMQ6k70UUALRSUZpgFLSUtAC0uabRmgQ7NLmm0tO4C0oOKbmlzTCw7rS0wdaXPvQKw6lzTQaB0pktEgNKDzUYNOBoAkBp+aiBpwqrk2LCGrMX3qpo2DVy2BdwByScAeppmUkbVgzq+VJGeDg4zXpnhCLWQCId6W7EBy6#KB9KzfC3hWC7sonvrZ7WeBt0qyN#r19AOoq1qvjprd5rawjkiVjsdJTkBAMAAdsV5+Jm637qmr930RzRspcz+R6C8RkiMSSKIwQJokk2g45AX0z3FUNZnktozJbBERT88SADy2POCOlcnp2vxQ+CLl3uITcvLhEJ+Yjuau6N4ui1Cwi08ssV2GUrPJF5isc9CPp3rxY5fOhKVWMeZX19PI7pYqNZKnJ27PzMe61udb4XEjl5A2fmPXHappfHjS2V5HKpWWRf9HMRxs9jVbx3bQ22szG2ZnV#mYBMKh9M1wk03zEZr3KeHo14xm4nBF1YSaTNCa9eRvmck#7RzTY7nkZNZJmPrTkmIOc128iVkiOTqepeFY7WbTXkDwyXYOdjvt2Y6DPv7UeO4R4i0m204Nd2szyJDLZbVXGeTLk#eHbNcr4Pj+3a5BCJ#JxlvM#u49a7jVb7w#8A2gj3zh721fYmw9d38X09RXzGa4as6v7v3vLsergK1KC99W#Uo2vgyw0DStPeOW3gv7aXzLqa1O5nA4Rc9gRya27HXY5Lh7iWNnZQUQxoDIu4Y+WsbxVfRaXFHb2qWkSTLuYQdee#0Ncna6o0Fyjh3AUgnaefwrXCYByw7ct2Y4nFv2yt8KK1#wCCLLUfHoli1JyiRrK73GfMMuejL1H4V0#xG8O6JcaPez2lvDFqtwqGS48olBtHOwj7ufenf8JHpv8AaM99BpiJcSIF80#eJ9frUEGuSr5gJDrJ99H5BH0rnp5XXcX7R69Doq5lSjJci06nJav8MdPg8GaXf2kpbULhV81lyYlXPLZ9apal8H76G#u4NPuGnjht0mjZoyDLnGQMdua9NtdWlkwuQEPAQL8o9OK6Wy1Forc3FxMERF4BYc#7I9TU1cFOlHnnIIZhGpLlhE8D#wCFM+MXZxFYB8HGc4B+max9Z+HniDQIjJqkNvbAdnuEyfoM5r0r4h#GO+jMuk6HK9sy#LJJ1deOhPTP0rxG8vrrULhp7y5lnlY5LyMWJri95vR6HoJq2qGzwmEgFkb3U5p8Fo8+wI0Y3HHzOBj61X70Zq#Qk7ix+E#i3UYVns7KGeFv44p1Yfoasn4O+Ko4ppJ7URqi7h3LHOMfWuT0TxHq#h67S50u#mt3Ug4VztPsRX0B4J+LCeJbUW2qSJBeABS4OMe+O4+nSojdfEOV7e6jzuL4QzL#AG3Hc3xWSwgDxERna7EAlSfUZ6CtOX4aaQvw8a#Ehh1PC+Y0gJVcdSvsa9K1G#mjUOsm+OQZDDo#vWC+uSws+7bIrDBRhkY+lehDLpzjzKR5rzJKXK42a3LnhOz0qy0awk8qP+1Y7QwpeeSFRww4yP4setcjZ+BtF0fxnBJNdG5guYW2opKyGXPOzPT2NXJtaleZXLYCcKo6KPQVrXPi2zFnbXgt4JNVU#edM7BRWyuqox9nu9yqeYwc5OS06GhrurtE8SKZIyqhTG0gZlx6nvRpN7bX+sR3bxu7+V5UkLHdEy+pB6GvPrrUnuLl5W4LsWIzWpoHimTRZXZYI5RJw2##ABr062XRlQUOXmaOCniJRq88XZPc6eXQNG0HX49bhMV#K7ZvV8sscN#qyuOAQav+JNbj0m1ljvYkuJLyM#KvAj46Ad#rU9lqd5#wjEurC2gESOZBHkBSK868QeMn1rTmtZYIwxm8xZf4lX+7mvMwOX1XWcpu8UzuxOMhKmlBavqc5POSeuffFVTLgnmopJck#TrUDOK+rVraHBGBbE+KX7Scf0qhv96Xfz1oK5C+s5z1qzBOdwwRnPFZAk96njlNLoJw0PW#D7Wz6b52hrE2pIUeYX4PlRRg#PjH8XpXIeNrqO61qaaC8e6iYZR3GCoz936Cl8L6xqFjdCKyLP5xAaLGQ#1rR8YwabHa3UtjarLKDi4O#H2djzgD0964YUnTxDlLW5HPoo22POJpSTyapSNnNSyt1wQRng561WYiu1s7IxsMY80wmnE0zioZrEaetJ2pT1ptSWIa91#Zx#5mX#t1#wDateFdq91#Zx#5mb#t1#8AatcOYf7vL5fmjSn8R4M33j9aSlb7x+tJWoBRmiimAtFApRzQISiiimAUUUUAFLmkopgLRSZp1ACUUtJTAKKKKBC0UlGaYC0ZpM0tABmlpKKYhaKTNLQAUUUUALRxSUUALRmiimAdaWkFGaYhaKTNLmgBaKTNGaAFzRSUUwHUopopc0CFpaaDSg00AtOptLmmJi0opM0d6Yh+acpqOnA0ySZTirMEzROro2GByCO1UgcVIG96aZLjc6FfEWoPcCeS7laUAAsW5IHQGl1LW59UvZLufaHkIJCDArADmnCT0o5Y3vYxdJGot0dwOTx0rp#B#iF9N1iIGWCOKVgJJZVzsA9D2zXDh#epFlOMZ4NKcIzjysTg1qj0PxJ4+vNTkvbaPyfskp2fKvUA8EHtXEvKSeSPwqmZSSMmk30qdKNNWihez6ss+Zz1p6yYPWqe40ofmtB8pox3LJ0Zh64OM1YF2x6sSfU1lCQ1Ir+9KxDgahu3ZtzOS2MZJ7elPSf35rNVyamR6DNwNSKY1oW0uepNY0LEkVp2nzc4OOlTJWMpKx1+iWzyXMIdDgn061Q+KGtajoGkxJJp9gIruFolRjmaAk#eBBwc4#Cu10aNtV0u1svtG1WjKzyQHa6KOgzXz58R4WsPEctiupS3sKEsm#OI+cYGevSvkMfXdat7NrRHu4CjGnTdRNNv8DjmYscsSSepJzTc0maKwOoXNGaSigBQavaTql1o2pw6hZuq3EDZUsu4fl3qiKUUWvoB9N6Tq1lrWh2kX9swXd#LAHeJiBIJPTjgD0Fc#rNrPYXbwXC7JB2z0rO+C19oVrp16uoNZ29zI3lJK7#vHyOMD29a6vxbHPdPAqW2VVP3csa5Mw9cjrXoZVWnGp7JvQ83MaMbKa3OEmmIJ5qlJP15qa5BVyCCGBxgjHNZ0r8mvqEebFXVx7zH1pgnIPXNVmbiomeg2ULm9P4lvn0mLTVl8u1jBBRON+f73rWHLMWJ96hZyelRlsnrSjFR2RagOZye9MJphbFMLGmaJEhb3pN1Rk03NFx2JwwzUiSYPrVTdShyKLg4na+HtXsNIje7luHad42iEcYwy5H3s1zNzfyMJAsjbHJzz1+tUDKelMZyepyfWpSSbkTGlrcHfJ4qInmlZs1GaTZukBNNNBNNJqblpATSGikJqWMK91#Zx#5mb#t1#wDateFV7r+zj#zMv#br#wC1a4sf#u8vl+aNKfxHgzfeP1pKVvvH60lagFFFFABS5pKKYC0UUUAFFFFMQUUUUAFLmkopgLmikpaACiiigAooopiCiiimAtFFFFwCiiigBaKSlpiCiiigAooooAKWkopgLRRRRcAzRmiigQtApBS0wFopKKAFzS5pKKYhc0tJS00AtKKTNJTAfS00GlBoJaHg0oao6cDTFYlDUoJHpUQNODU7k2Jd1KHqLNKCKYrEwegPUWfelzTFYm3U4NUGeKcGoEThqeGqANTwfSgloso9To9U1NToelMzkjRgbnjr#OvSvDnhrTtT0kzwXjyXbJkQ4x5Z759RXmELYYV2vg7UbWw1FpbqeaJAvyCIffPofauTFxqSg3TeplHl5ve2Ox1e11nT9BnTRIRF5NszTzsv+sfsIz2IPrXzz4xOvvqcMviNCt9JCDlsbmXsTivpm38QW93ciOBS1sTll5wfbHYV5Z8bPCmqh08RzuZ0c7THGoCwJ#CD3zXyVWFWnNSq7y#A9zD1Kc4uNNfD+J4rRS4oosaiUUUUgFpVpBThmmB6Z8JvCWm+I7ma4urgreWkiyQQ#wAMyj7wP4V77bQ2lsrLpiHYiMYhI2RGSei+gHevIfhP4r0S0tovDUenzTXtw283BZV+f0UnoB711#imDUNLmmaGSZYujup+7ntV4WhCvUabtJbHNjKs6cVp7rOI8VWV1YatNHeOksj#AL0yIcq4PpXLytya1r93dsuSfTnOKx5T1r7KmmoJM8eDTZXdqiZqV2qJmqzoSAtTC1IWphNI0SFJppNJn1ppakUkOzSE00mkzSHYdupM0wk0nNK47D91NLetJmkJpDsGaQmkJppNIqwUmaWm5qRhmikpaQxK92#Zx#5mX#t1#wDateE17t+zh#zM3#br#wC1a4sf#u8vl+aLp#EeDN94#WkoPU#WitgCiiigAooooAKKKKYC0UCigAooopiCiiigAooooAWikpRTAKKKKACiiimAUUUUCDNLSUCmAtFFFABS0lFMBaKSloEFFFFABRRRQAtFJRmncBaBRRRcBaKSloEApaSimAtGaKKAFopKUGmIWlFNzS5p3Ad2pabmlBpiFzSg0gpcUyRwNKDUeaUGgCTNLmmZozTESg4p2c1EDzT+tMVh6mpFaoQaeDTuS0ToasRniqitxViI89R9fSmZS0NCAE81sWakEdT6irGgeG7y9vbTzbWYW8zf6zHVe5HpXXXfguWzYy2skdzbl9qeWcnGe9c9TE04vlvqc01J6o6Lw1p8OmWMepzXBNvLF8xC5aPjr#8AXrwjxzd65qXiC4lj#tRtPZ#Lg+0Z+Ye#Y175o2mh#D8kUkk8AMn79gMkqpzsAPY96s3WqaVeXUc9zHGslo2YPl9RggjoeK+UxMK1XESlFc1tD2MNVpUaUVJ2bPl3xN4V1LwvcW6X8BjW4hWWM9jkVg4r6o8Y29n4h8MXc8OnRXV7HGIYBt3CNSeoB6mvKtY+C2sWUGnCzY3F1cRNJMgX5Y8c9fpjiudtwfLPRo64SjUipRe55XRg+ldLqfgbxDo1r9q1HT2trckASyMAD9KzNK0v+1b6OzF3b27O23fO21R+NPmi1dDsZwr0b4V+CG8R6zFf3cQl0mBys+1gWUkcbh6V1+hfA2bT5La+1O7tZ#LkSUxg5jlTPIHqeleg6f4e0bQrvUdR0iT7LbXKEPEOEjb+9x1z+lJXnotiJ1I0022ctp3wd0HTNfmurm6le0XDRFJNpR8#dHsBjk11erWl2fDksAnGAxwy#N5ydi3o1ctea5M8hiacuiEqpB#X3rsrW6mXw3FJYLBNOAHeEHeT713vAywzhVbu7#I854326lC1kcJP4GEuniSW8jt7yQGRLeTqyDuPevNLxDHIysMMpwRXZ+LNZ1K#uVa8DI8JZVIG3b3x+FcPcyMZCzdSck5yT719Jh1PlvNnFDfQqu1QscmnscDAqImt7nUhGNNJoNMNJlpCk03NJSZqSkKfrSGkzSE0rjFzSZNJSUh2FJppPpQTSZoGGaSgmkNSxi02lpDSGLSUUUgCvdv2cP8AmZv+3X#2rXhFe7#s4f8AMzf9uv8A7Wrjx#8Au8vl+aLp#EeCt94#WkFK33j9aStgFopKWgAooooAKKKKYBRRRQAUtIKWgAooooEFFFFMYUUUUCCgUUUwFpabS0AFFFFABRRRTEFFFFMBaKSigBaKKKACgUUUwFopKKBC0UUUAFGaKKAFopKKYC0CiigBaKSlpiF7UUlFAC0opKKYh1LTM0Zp3Cw#NKDTQaAaYDwRS7hTKUYoJHA5pabS5NMB9KDUeTTgaBDwaeOKiBpwPvTRLJ0OKnjfn17YqoDUit05qiGjsvD#AItvtHdtksksXllBEzfKD2J9q2tA8bXWlW1zDFl3mxsYnAj+grzpHxxmrkU5HOfxPasp4enP4kc7hZ3R9AeGdcv9dZ7i7VI7ZRgL9zex6YPqa4XWb8LqdwqqYwHPyk5wfSsw+LIh4bg0u3FwjwuJBIz8ZPUD29KwzetK7OzksxyWJ5NcmHwihUcrWIqScoqLPSNF8XxWcUNu9uAqMWklH3j9K6PQNWn1G7bbKAuScE5IFeSae0lxcJFEjO54CL1r1DRvDN#ZzRyvIijgZV+cd658ZQowUns2OjUqXjHojyb4532oXfiaBZmn+wKm238xdinHUgf1ryocH#CvqvxL4E0nxreTTalOVvPL8q32SFhCg6kj1ryrw18NAPiLNp2oWN22l243pOeMrn5XI7gmvmVU5FaSsfRq09YvQ9J+HN1Pe#Di1e8uYpERSFkWUs6HspHasTUdWuraO4gjmKxygq6+td9Gmk6Te#2fbwi0WT5JIkAEbH+8R61x3jq5isohpw0pIByyXDH5m9wa9jKuaP7ucd9Txse4zlzQZxEt2QxweT2Na2l+LpNJsJ4LaICeU83BPK+wrlZ5jk81TeavopUozVpI4oxZ3viLWYda8Hw3V0fMu45TGSmFCk9C396vNJmyxqeW4ZhjccdcZ4qlI3HWnTpqmuVbHRCNndjGaoiacxqMmqZuhCabmlJptSWBNITQaacUrlICaQmikNK40BNJRRU3GJRQaSi4AetFJRSGFFFFIApKKKGMK93#AGcP+Zm#7df#AGtXg9e7#s3#APMzf9uv#tauLH#7vL5fmi6fxHgzfeP1pKVvvH60lbiCjNFFAC0UmaWgAxRRmigAooooAKM0UUwDNLSUtABRRRQAUUUUxBRRRQAUuaSigBc0tNpc0wCiiigAooopgFFFFAgzRmiigBaKSimAtFJS0AGaM0UUwFopM0tAgooooAKKKKYC0UmaKAFooooAXNFJmjNMQ6koozQAuaXNJRTEOpabmjNO4DwaXNMFLmmKw#NGaaKd2pgxwNKDUYpwNBJIKeDUYpwNUSydWqVGNVg1SI3NMhoupJjvVhJaz1Yip0Y+tO9zKSNmyvpbWZZYZGjkXoynmux8NeKfseoi61CWaYIp2JuyCx6Z9q8#ic8VeglOf881lVowqR5ZIxd46xPSNI1++m1ItbYMszE7AMk+30ruhcs726TMsWoz27qkZ4lk288D+6M14xpt1LBMJInZDnqpwa9U0PWX1Swummkijnhi#dNtyyDHJB68968XMsJ8LSVk0a4Wry3i27NM4#xHcXNtqbieVGnGCzIcj6Guc1jxDfajZC2u5TKiPuUt1HsD6Vo6#fXGozmWch3xjcBjcK5W5B7ZweRXq0KfuJytc5U1d2M+Vzkk96pyNnNWZhj61SkNdR1QiRu1QMae55qFjSNkhCTTCaU0w1Jog60hNB4FNqSkgzSE0UlJspBSUUmakAozRSZoGBNJmlpKQwoopKQC0maKKBhRRSZpMAr3f9m##mZv+3X#ANrV4RXu#wCzf#zM3#br#wC1q48d#u8vl+aLh8R4M33j9aSlb7x+tJW4gooooAKXNJRQAtFFFABRRRQAUUUUAFFFFMBc0UlLQAUUlLQAUUUUxBRRRQAUUUUAFLSUUwFopBS5FABRRRQAUUUUxBRRRQAUtJRQAtFFFMAooooAXNFJRTELRRRQAUUUUALmikopgLRSUtABmiiigB1FNzRQIdQKKKYhRzS02lzTuA6nA1HnilBqkFiTFFNBpaCbDx0pwNR5pwNMkkBqRTUINSA1SZLRODUyGqynpU6HmqRm0W4+uK0LcZaqMCk8gE444rUtYiTmhnPM6LT9Hu2hhuPs7GGUgI46HnGPrXc6hqNj4WgS208xvdMR5+4ZKDHIqpoN#b6N4XiuZhcRwvOMkPxuHUj29vauG1#WDfanNNvVhkhZEGN49T715nLLEVLS2X4kWUVeO7#A9Djj0HxFbrdSxx2bcr5Ybhj#AHv#AK1cVrPhyaDV2sreGR3YgICOX#2hjtXOxXxVxhsHtzXbHxhZxSw6eZGNmIFRriNsTKep2N1BzxV+zqUHenquwb7qxwep6bPZXMsEiZeP723kD1rDmGCa9TuL6PxJp062Qgt75mO9CuWnQDjn1rgNW0e7sIRNPF5aMcBSwLD6jtXVSnzLXRmlOWtjAbrUTVJIRk1CxrRnYhCaYTS0w9agtIUmmk0Gm1LZQGiijNIApM0UnNAwzSUtJSGLSUUUgCkoooGFFFJmkwCiiikAV7v+zf8A8zN#26#+1q8Ir3f9m#8A5mb#ALdf#a1ceO#3eXy#NFw+I8Gb7x+tJSt94#WkrdCCiiimAUUUUAFLSUUALRSUCgBaKKKACiiigAooopgFFFFAhaKQUtAwooopiCiiigAooooAKKKKYBS0lFAC0UUUAFFFFABRRRTEFFFFAC0ZpKKAFooFFMAoozRTELRSUUALRRRQAUUUUAFLSUUAFLRRTAWlptLTELSUUtAADzS0lFO4h4pQTTAaUGqQD6UZpoNO3UybDhUqmoQakU800S0TL1FWI#vetVVOSKsxdaoykdL4dgsri4eK+YJGYztk5yjfTvXZLoGj2klhbz6xGt5qJ#0IFCFcDrk9vx61xug2IvpgpuYoWBGPMON30rt9W13S7PUoXuNIgu72xRYYbmXJZAOePQ5PWuLFe2TSo79TlSp8z59URazqekLE2jssqRW4IjmB#wCWnfcPSvO7i43OTnvWj4jvbafUHktXd0k+di553Hkiudkl5zkiuijT5IlQhdk5mOetKLgj0A9KotJz1pvmEda1NuRM6rw9qa2uqRO6l93yZB5GeM1la5vg1CeBpTJsYjeWzuFZkdy8TB0JDA5BqKWZpGLMSSxyT70rK9xRpe9cY5zURNKWprHtUtnSkITTDQTxSE1LZaQZpKM0lSAUUHpSUDClJpKSkMKKKKQBSUUUgCig0lAxaSiikAUUUUhi17t+zh#zM3#br#7Wrwg17v8As3#8zN#26#8AtauTHf7vL5fmi4fEeDN94#WkpW+8frSVuSFFFFABRRRQAUUUUwCiiigApaSigBaKKKACiiigAooopgFFFFABS5pKKAFooopiCiiigAooooAKKKKACiiimAtFJRQAtFFFABRRRQAUUUUxBRRRQAClpKKAFopKWmAUtJRTELRSUUALRRRQAUZoooAWiijNMApaQ0UALS5popaYhaUGkoFCEPBpQ2KYKdkVdwHg808Hmogaf3ppkMsKelW4BlhxVOPkjp+NdDpGkyXL7pleOBF3u5HQVaZhVlyl#wAPW6z6naxupZC4yMdu9T+J7pp9YupNjR#NjYeqgcD602fXrSyEkWkwNFvABmZsufp6VFcalBq2kH7U5W5tR8svXzFPY+9Z2blzM5Ene9jnJpSTVVn5NOlkyxquWrRs7YIUtTS9NLU3rU3NLDyx9aaTTe9ITSuVYUtTM0HikJqWykgJpM0UlTcYUhoozQxhSUuaSpAKKKSgBaSiikAUUlFAw70UUUgCiiloGFIetFJSAK94#Zv#AOZm#wC3X#2tXg9e8fs3#wDMzf8Abr#7Wrkx3+7y+X5ouHxHgzfeP1pKum0jyfmak+yR+rfnW1ySnRVz7JH6t+dH2SP1b86LgU6KufZI#Vvzo+yR+rfnRcCnRVz7JH6t+dH2SP1b86dwKdFXPskfq350fZI#VvzouBToq59kj9W#Oj7JH6t+dFwKdLVv7JH6t+dL9kj9W#Oi4FOirn2SP1b86Pskfq3507gU6KufZI#Vvzo+yR+rfnRcCnRVz7JH6t+dH2SP1b86LgU6KufZI#Vvzo+yR+rfnRcRToq59kj9W#Oj7JH6t+dFwKlFW#sseerUotU9W#Oi4FOirn2VPVvzpPsqerU7jKlFW#sqerUfZU9WouBUoq39lT1al+yp6t+dFxFOirn2SP1b86Pskfq3507gU6M1c+yR+rfnR9kj9W#Oi4FPNLVv7JH6t+dL9kj9W#Oi4FOirn2SP1b86Pskfq3507gU6KufZU9WpPsqerUXAqUVb+yp6tR9lT1ai4ipRVv7Knq1H2VPVqdwKlLVr7Knq1H2VPVqLgVaKt#ZU9Wo+yp6tRcCpRVv7Knq1H2VPVqdwKtFW#sqerUfZU9WouBUoq39lT1aj7Knq1O4FTNKKtfZU9WpRap6tRcCpRVv7Knq1H2VPVqLiKmaWrX2VPVqPsqerfnTuKxWoBq39lT1aj7Knq3507gVxTgasfZU9WpRapnq351SYmiNHKkHPStOPWrxMH7Qxwu3aemPpVL7Mg#ib86UWyf3mqkzOUE9wecsetN88jo3Xr7077MufvN+dBtU9Wp8wlBEDNnvUZNWvsqf3m#Oj7Knq1TcpIpk0bqtfZUz1b86T7KnPLfnSbLsVCaaTVw2qerfnTfsqerfnSuOxUzmjNW#sqerUn2VPVqlsCpmirf2VPVqPsqerfnSuMqGkq59lT1ak+yp6tRcZUoq39lT1aj7Knq1K4FOirf2VPVqPsqerUXAqUlXPsqerUn2VPVqVwKlFW#sqerUfZU9WpXAqUtWxap6tR9kT1b86LjKdGaufZI#VvzpPskfq350rgU6KufZI#VvzpPsqerfnRcCpXvH7N##ADM3#br#AO1q8S+yp6tXuX7O0Sxf8JJtJ5+y9f8AtrXJjn+4l8vzLh8R#9kAAAMNAAACrAEAAAAAAAAAAATqAAAC1AAAAAAAAAAAAAAAAQAAAAz#####AAAAAQAKQ0NhbGNDb25zdAD#####AAJwaQAWMy4xNDE1OTI2NTM1ODk3OTMyMzg0Nv####8AAAABAApDQ29uc3RhbnRlQAkh+1RELRj#####AAAAAQAKQ1BvaW50QmFzZQD#####AP###wAOAAFPAMAmAAAAAAAAP+AAAAAAAAABAABAguAAAAAAAEB1UAAAAAAA#####wAAAAEAFENEcm9pdGVEaXJlY3Rpb25GaXhlAP####8BAQAAABAAAAEAAQAAAAEBP#AAAAAAAAD#####AAAAAQAPQ1BvaW50TGllRHJvaXRlAP####8A####AA4AAUkAwAgAAAAAAABADAAAAAAAAAEAAEBycAAAAAAAAAAAAv####8AAAABAAlDUm90YXRpb24A#####wAAAAEAAAABQFaAAAAAAAD#####AAAAAQALQ1BvaW50SW1hZ2UA#####wD###8ACgABSgDAJgAAAAAAAMAAAAAAAAAAAQAAAAADAAAABP####8AAAABAAlDRHJvaXRlQUIA#####wD###8ACgAAAQACAAAAAQAAAAMAAAAHAP####8A####AAoAAAEAAgAAAAEAAAAF#####wAAAAIAB0NSZXBlcmUA#####wD###8BAQAAAAEAAAADAAAABQAAAAAAAAEAAAAAAAAAAAAAAAEAAAAAAAAAAAAAAAE#8AAAAAAAAAAAAAE#8AAAAAAAAP####8AAAABABFDU3ltZXRyaWVDZW50cmFsZQD#####AAAAAQAAAAYA#####wD###8AEAAAAAAAAAAAAAAAP+MzMzMzMzMBAAAAAAMAAAAJ#####wAAAAIADENDb21tZW50YWlyZQD#####AP###wDAFAAAAAAAAEAcAAAAAAAAAAAACg4AAAAAAAAAAAAAAAAAAQAAAAAAAAAAAAItMf###############w==

Ce code est volumineux car il contient une image.

La figure contient déjà un repère qui a été placé de la bonne façon par rapport à l’image de la fractale de Mandelbrot.

Dans la palette de couleurs, activez la couleur rose (la figure de fond a un fond noir, il faut donc éviter de créer un point noir).

Utilisez l’icône (en déroulant la barre d’outils des points) pour créer un point libre que vous nommerez C.

Maintenant utilisez l’icône (en déroulant la barre d’outil des mesures) pour mesurer l’affixe de ce point. Une boîte de dialogue s’ouvre pour vous demander le nom de la mesure : entrez c et validez.

Nous devons d’abord créer une fonction complexe d’une variable complexe. Pour cela utilisez (dans la barre d’outil des calculs qui par défaut présente l’outil curseur) l’icône . Remplissez la boîte de dialogue comme ci-dessous et validez :

Créons maintenant la suite récurrente. Pour cela utilisez dans la barre d’outil des calculs l’icône .

Remplissez la boîte de dialogue comme ci-dessous :

Il reste à créer le graphe de cette suite récurrente.

Pour cela utilisez l’icône dans la barre d’outils des lieux (qui comporte par défaut une icône de parabole pour les lieux de points).

Une boîte de dialogue s’ouvre. Remplissez là comme ci-dessous et validez :

.

Avec l’outil de capture vous pouvez maintenant déplacer le point c et constater que, quand on reste dans la partie noire (ensemble de Mandelbrot), la suite complexe semble bine convergente (avec souvent de jolis motifs).

Vous pouvez voir la figure ci-dessous :

A noter : On peut avec l’outil palette on peut changer la couleur du graphe, le style de ligne et le style de point utilisé. L’affichage sera plus fluide en utilisant un style de trait continu plutôt que pointillé.