HackTheBox Shamir’s Secret Challenge2024-12-12[Updated: 2024-12-12]#htb#crypto#lattice#shamirxlockedEnter the challenge flag to unlock this writeup. openwrong passwordeyJ2IjoxLCJhbGciOiJBRVMtR0NNIiwia2RmIjoiUEJLREYyLVNIQTI1NiIsIml0ZXJhdGlvbnMiOjI1MDAwMCwic2FsdCI6IjZLN3h0QzIwZmkrd29RN2RsRzdWQVE9PSIsIml2IjoiTlZHMElqdmp5SFVhaVJDMiIsImRhdGEiOiI2Um9VN1BycU40NkNteUR0T3paU3h2VkFLYjMyVFpLeTdCZUFYb003cHVTK0xNZjUxSDcyRXNxYUpmbkg3VlhSWU1xOUY2a0ZOK0JyQytZRStpZFR2dFhkcTcweUp5SjdaRk9HdWYrM1ZBRkIrSHN3Z2FhSEZLZFpxdGhLZVB0cHJxd1NSSTBMQng5Uk5BU1p1MVNHUEx3OXluaDZ6L29iNnlxR1VLQ21XWUNkbUFZY08rZWcrcmRvNndic1FtQXBqaEpJbGUwcEk1L0VDekJDcG9mK3AzTWhMamEwblhKeDg2SmxMeGNoQnBCSWx6NW9yM2J6NDVmZm9wQ0FMV1hjelAwK1puWWpRQmpITjFqSm8yNHRLMEwxUkZid3VSVWNzTk5FWHc4SW1BWXJ1SGUyM2ZiM2V2cFVyYVR3NUM4Q2tTMTBnNFJId2ozSmZrd2tvRU9YUWtCbVhRajNNYWtyVCtSOXNkUUZoeUtnc0xmY1Q3Vmp3cWJMam9CR0FpaUxFMVlib1A5bzdyUFJhZEpFc1hLdWlKMGRKdTZzanE1SVdqR2FNVWFSUjJzTWI1YjI3SnNCc2w1alZnNm9vOE5GR3cvekJNMXFSekw3YW9MS2xyaXo2VEpvQ2FZazZvME9BeElham5xQVJDKzl0bGVEbEdKS3p0elU1ZTl6RGloaHJMcGZYSklQQ2tZcTVDb2c3L3ZCV3R6UHNkOGZIQlJpMkRHaTA4YUNoQjQxTXBISExGSC93ejJJUGZORjhzeWQyK0ljZUtMS1Nud0xSMThZSFpYMy84TXQ4eTRod3RVWWRmOVcwNTFjNHhVL3RXWlhNcXc3ODF6bmpJaUJ0dC9XWEtoc2RSSVdjYVJodjY1OE9PeW1hTFFuWW44d3ZLRkgxK1oyZk9XZDkrc0tDS2RsbDNHT2lUZUZiYVNaZ0NIRnI0NWNRekxzUS84MHFKTHlBZDRaSzF2SUZqQjY4SVdiblBrT1RYQUhKRXFpeXpuYTlkU05NS1I0dFJzaUtid3gvNnBjKzJNQmwwaVZmdC9hd2RKQ0d3eTE4MWxXRlpacG5nQnd2SjFQVkQ1SG92QzcwVjFDTGluekkyRE9RN0dYOU84aW8rR3VtQmY1NjdITU9zeGNncFVQMU1Ea3BHK0tBd3dTMERTa0YzbnN2MnByZG5rTlM4bW9sYk9mdXJ1MHA1L2FkWnR3ZmdzWmJsckVjZGprSVlpZmpORXJQYTBMR1Y1S0VTM0x2WVBlazJzV0JhN2hGUkxlS1pBS2piTHpBMnVzaXl5L1lHbVhZNlJ4OUJkZlh3Z2NvMEx2cEJCVTM4S1hFenlwYUJRL0ZuMzVXVlpqWkp5dzFBUUwxZUJVVnFuYklkNTFCZldYczFramZIMmVXZVdXK1QxRVFxakhkMHdhY3JpT1VRdnZEQTBLdk53UDl5UW5TVkpXRnFyd0ZUdXp2OVlscDJ2Nm0zVktlb2hnOTJqd3B1YmRGV2lXRWYzeUhKME9lb3FYbE5qc0ZJbFRsWlFiWFA3S3NSWlArYWZSV3JVd3VUQzBCS0w3LzdZNTlmeHEwMTZ6eVFWVzQ2WjlGWENuTDkzejlINzQ0Z3BaVU1YWEhzL1FTV0phTndUdGdqajBTZnAxZTdPenBWMnZqaGRhRHNXNFJmVWt5QjdUSkVIS1BRNjYvZWFBMWFLMHJINWt1THhETnpTMnBNLzVoMVVJT0hoWTdVVHYrNG9kRmQyVmdnQmJycE5lUDIwUW43NzllWW1wS2w1d3l5YU1zTm83RlEwWEZwY0FrbloyN2U4TU4wNFZ6OGdaQm1TaG5aaFNqanJaOWlDWnNKN25wU0o1RE8wZDJicWlJYXEwNDhZSUd1Sk9OR0JVRHprU3JUeUwxY1B5TXRTbitpMEpUTXhSdGF0WTZtNkd1b01rQlJ1NXBjUkZyMHZ3QUF1dWFKcTgzNTNrMStYZWdpRGl2YWpNd2tLMUlMSUo3NEk1S3N5U0tnZ2xpa2JpUy9KUk9XVG93MTZPNGcweitPcC9DNkZJRm1LakZpZit5cUlSVmJxN0NsajlZL0IrYXZ5Sy82YlZHWnZCV0VrWWJiNUo2d0tiaXJHRGZmanYwWHNkWTlEZkdKbG5nKzNWMmEwdDJ3a3ZzQXM4eWFtay9TZk5GdjJwVHNvMTNpTDN3bndwL2ZMR1psbFhRZzcwUEJQSjZGblNpaDZiTDNUcktCYkE5Mzl5Y3IrY3FyRi9RMVNFbDVPR3kvTXNnZi9IRjZYcVBDUkJBSkZhSXV3a3V0cW9IQnpaZnQ3bGdORWVPL21QSUJ5RzJyamw4ZG0yMWlWTjRLYjFIdGxab2ZLQVJtdkhONlRmVUUzZHA2d2RxMEdoaldubk53U3M1bDlqVXVHTUFJZXZvMkNXRGxyYWZ2dXpHUG1xQUd6N0Jnc01LVnFRWGpKWmZGVGFzY1FsTHVPV3N5VkJlb3Bud2c5N0srWXIvU1U3WXBmU041dTdWcXhnc09OSDRSc25PNVlRWGVYTnVEMHpCOGhZVHRNeXRha2tjQ1NiY29GeUc0Q2hRUzEvWEp3RFZDZEt1OGZMM2dTRWNWUTBuS3RqZ0VFZEFnSDUxUS9OUitpNWVSTDRkT1lEdGRQSmtCMHFZck1XVkprTHgwcnd3MlEwY2pKTlJOYm1WZ0QwUnlEUDgxYkU2N3czQnArN2lsYmprYWF5NzBSKzUzc1FJYk5zaTltd1hhbk5mcXJwSlkzY25Ec1FTRG5qajJrNkZSZHJIMmR3RVd5TkxQQURvRkRCZzkwcXVwVXg1T2x2SFpqc012WWUwZDYrU1FqWHF5V2RkajJ5ZG13Z3docG5NcTJudmtsZXpFd3AxM05XdUs1MmxwMTJESzBVdzdqdmVQSU9VV2hTajg1QjJOeHN0UCsxYmFoME56bXkwNEZnZlY1b1cxeXhuVGZqWTRMKzNoajMwVkNrUkVxMDk1THhjK1Y5Y1MwN3ZpZVJFOTA0T0Q2aXl0WDBmMExLbklJSWo2L3FqVHpYTkVMdDMvU2VBSEkxbjROT3FuQnJhTVBCMUtjSzhLL3BCNTlDL0JLNUgzbEhZRytTVTlFQ0VUNjFSeU5ZanYxN0Q2WC9ZTW1la3lvcG9MM2ZxRkVEUjBBVlJKbCs4N0R6b0NPTFA1M21ZMGJEdWUzN2Zvam1FUzhuYnB1Z0h3RE5WZUpTZUE4MEIzclNTTkpqUEU2MnA2S3JoRE5DcXZEdTNNU2tRaDhuc1RUdi9EdW9EYlc1RURNUFdZNElvZkFtek1HemJxUmZ2VE1EM1lMZDdDSml6RlN2KzRzZ1FzQkFwTXRnNnZ2MmNJUk51cEtmQU5jUFIzcFFsQkFjT0ZqK0lzTzl1UmJEeS9ISkF4RWtjclhsSzlSTjdubXhJT1paa0gvMGVCMzdSVm9LYzFQUG9kSWp4OTFsa1hxWDFlZTRuOHdiamVJUm94dkZqRVZuR01uVkllV1h4Uk15dTFpM3l5cXVUQUFIUVV4UHNKTHNjR210SXFTQ2FDUWQzSExLMkR2bEMyYisza09XTE5EV0RFT0pGZndHYmdGaHR6WWdoaTMwSUhVSjJoOTR3THBrakJEdllOQXJ2SFp1TEVVTGFtclZ2RERlQVJuUVA3dURLNTVvSm5MZ1JndnczK2VxajhHVGRvT0RsOWlWWndhcitlY0J5a21FdmEyNjJzZTdDeVlpUDArSDdZZHZXR0xQamtsOWxIb2EyajRjaVNEaFJWajl2aDJxTnlPRXNFaVlNOFBTb2dvT1dGV0JyNzZQamIrNjZWd0VuZFlYUGRpOHA0MDVtUjJKTm4wNE9sdWxBcGVVdXgvc3lhSk1hcTBQcSttVko1Y1IxSXk5cWtsL2ZNa2tydkNFOFN1ckdnSktVWGphdXpET3VFQThRUUl4QmVoVU9mdHZyRHphNldRRm5XQ1ppZFNPUUd4eXJIaVlZMk5rT3ZaRHFtL2pmcmZSZUIvR3B0a2pwbnVya0Fadjg1bHFFbURiVUhidldDR0dxZzg4R2xLdWRVQTFSaytkd2QvanRQc1NKTmhjQzFUMzRha0pqeU9VTzVvSFk3MGljL1V1OGdlUzVCSVA5Q0JOL3dQaUVpbjUyNzhPbEdPc2ZlS291Z2piRUZtSVNGakFVbU5jL1g1cXRZeUJweEFjaUlXOTJ5QjdUTXlrTEZwQURzV2NKaUlLNkgxZVhMN0pSM1RaSWRmcHNhZVdSSWx5MmcyeTI5UWhkd2laU1BLazVMcGUxRmtSQkphMml3d2lDVGxORC9SZ3IrMVpWQXQrQno1WmVEUEkwVFcvME5XQlFUZnE4dmZRRjdkMnA4dnBXUnpOamtWNitRREVha3dVSjY5UmozODdnTWZNam1UMTNmSW1OR0RtYmNYOWZIdkMrWUdEamRRYXc3K0hpUlVOejJCMFBNOWlubFRyY3JvV051ZXlaSVR1VzZPYk95b3V4NTNUNThIZjd4OXZRazdEQ1UvS2FJQVJDS0QvREQyVmtSb25kL0JjOFlPZlVERE9VbG45dzdsbEFQcENKRHZzNCtwWFhRQjVOZzJzYllWa2NIQkxnYWNIOTRyUjFpRWVlbkQ4cG5VT2ExOGd4UDJrc0V2UEwzSkxrS0tzZytKUHhnYlg2cWtOaDZFN081ZzczY1laQU9ocTR3eUorUGZzMks2MnAvcm4vRjMybnZ5NE1WekkxRHJNU0M3Ulo4NHB0bVR0RXhrSkZQYU4yUmZqenJHaXU5eWxoWTdaTjJOWGRSdGkvVjV5ekxXSXFPeVYzdUdHOFBYWjB5TldLRDlaWXJuL1lrWVZnUVN4MnZ2N2lwc25KVndoZEdNNUFlNVBIZHBBbVViMkx5RkdjZ2RpeU9aV2w2S1kvS0Y1L0dhK3B4OTFJOUlhS1VWL1RHQUNvTXNMa1NGK2RYWlF5S0NaK2daOWQxZ0NHcC90SGdRZCttbkhDNWk1TkZyZmJhbjJHL0hnM1RrdnNZaTk1ZDNiT0h1ZkxpdTEwWmtDT0s2WHZmUFRjODZmcE1ZVFlWd3hQcUlEYUEyWFRZelBFVHBIVWJJbFE0TWZuc0RkNFdaSzJvZUNNWm05bWZkWkZsejB3cmZWYzBsMlpvcm04V2k4ZGdlNytidEplbm9vK0hlTkJCWkRoUXRhRTNLZGlxcWJrbjR1ZnZWQ2FDOUc4ejE0REF5QWorN3RtMXV0OFl5Z21IazZ0cDdaZWQxYXQ2QTB6dGNBMmpXS0lyekh5NWhvSUFLVHI3SVY5QjhOOUNsYVV5TjNuOG01bUhZeWlEa2w4TWswNkFiamp0Wk9VakRRS3pKdmlMWE53MEI1ZFBhaWFVUU52RXNIV3ZSbmQ2L1UxYWxGZGFDNXI0a3RKTE5HWlFtcFNRYk9Na1ArUDR4M3dkcUFUSHhycGZ2Nk94c0QzT2dPS0JIUGZWYnR4UEJDY2JhNzY4YkNCaEl2Z0xZKyt3VG55c2E3RWJ0M0d1RDlsMkY5MzIxeFNuOFdRd0NyTjg4OUxOc2FqSTR0VlF4blZxTlJTRDVFdmZNRzFldVJFYnV3UHhnNUpvRDg3VHcxVEhvMXF4ejdIbnNFSVBpcmhHbDFrZzhWVWE3RjZJbTRLWmhkbWF0NDdpT3JNSWxwRU9jSE4zM3lrNWhnRSszTE95VlU4ckw5ZEFJRTJiYVJmQnBTV1JaVzhza0FzUXlEMGxhVEZuSUMwdHlyL25KU3U5TStad3BwYVdTK3c0RENZc1lDSGJ4dTRSOGpYbmdQQmtjem10b3FkdjRVYjZxK2xxNktSQk5odEs0d2JLSmIvSDVCdm5ldDZXTVJYdHY5S3RMeVZkT05rVTJEckk1dGViSStMdXNVdWN3M1hMNTNVQWQ5MFR4UldRSDZjSExwMitDR1lqL1NvTmJiOVk1NEZKNkxEY3dGSjA5eVVpRkxtUWxFQlpwYkozNjh6dkJqWWhyalVVV2l5NE1tZ2VKdm5OQ2Y4dDFjSEtOWFJEM3hmSExwaGlJNmVGSUFSZUNhY045RFdWTldmTmY3MkZ1a21yYWh4Wm9ERmIyQnMxdjcxSy9WbGd0cGt0UytMVXNQV0lXdHJIbTlDN0plUFBTOU9KdEx6aXhJNmhOY3BDdWtyMndWRDI4aVJkTGtKR1h0OGc2em80bVRqN0xnYnIwTVBwZzFUenpvSVRaM002VGRCeEU4QjNDRVFVNG42b3V4RHppWGVGY0U2UUhUU0w1cDNDcXdzUjhmKzNxSmdmMHpUZ1JPVWhDMkJZd2srOWJ1a0k0aTJoMk12eWVVUklOdE9rUDcwZHZRMVk2UTFvbmpmYitoWmlMamtwU1B2a2czRmx1a0dtYUluVzR0RXJpUWtKN0l2WVg2SHpObjFpSzkrcVNUNkk5MXFXcmNEYTdURmUzVjhHazA5UTZQRjlJK1FhZEtBbU1lSW5aVllYdGcyVVR4RG5IL0FJRGovWlZibnhleWJiQkF3OStxUWhIdWtvQ2dnNWRUUm9sV3IvRUdtSVlwckRGcHJtb3FSN1ZLbjdRK2RiOGc0MG9rQWN2OTMwZi9JdlpUUWFJc1dpOS9VREVsdUNOamh2eHFuREs2dnR3UGNabUlxb3dMTnhDYUVWdXhYZlJuWWQ3MjRXcG9UeEt5YnhXTXRYQjRLMVB2eVRQTjRlZ1BGSnpKOXJrZyt6MTRMdG41OHBLWWxNQWlqR0xBdHgycmdZYnhZbm5tYU45ODdHenJ6dHFpOUJvMlNIS1BTaUx6N2FCR3RHY045WEF5Wk9qY1BEdjZpYzl5ZjdicjY3dDlmcDdOUmZnYkQvd1ZVaE9yTzhjdlhaN2NuRlJUa3VmNFViSm9TRnpldVJXSDJhejJ2cmR3anRqRis2QlpSRVVhZ2czS2hyQ2Mxbmx1SVF6Ny9iK2ZRUitvMkRKYkZtNUdKMExHTEIxK1hkR1BtVkxiVHovamFCVHRibzk2SDlIRzhPZjV4aWhvOS9xK2E2bTBjVk9uUW01c0o4Y3RrbCt6S2JCTlp5ckROb2FyQTVWR0NSMVlQUFdHaW94YUR6MFdOdTNRMjJTN0tVRyswZVJpQkQ4Z1lSTGhmZzAwK05GVDZZckJVVjhDR2E0ak9wVlpvYU0vWk9Eckh6aHV4ajQxRnZmWjZJckZ4OWhDemVmUEhOZUxGc08rYTh2OWI1eWhoR0pCZk1ZMzBJblE1YWs3bitDRnFoemN6U1V4V3MvMU13c08wRFRLQzMrdlQxbEFGR2k1cTNUZVh4enUxaVE2T1pxbjY3NlY1VkdoZGhiU1FpZ0REQjZIdGlQOU5kUEZOYjBTbnpRNU5aUjEzK3lPVXQ2ZXFpbjkwMUJzczhqTUZKSHZWNmVGcmhXaWZEYU5sV05uc0NycW1xSG9xaUYrZ3lkdzFWQWxZVUprcGU0SitkdFpXRElsRlp0dTlQbUFHNEN1VjY1TVJwaWJwNlpFUGNyaWJBUDFvck5uTGo1aGtZNjk0M2UycWgvK1ZVMzJtWmF5Vk1TbFMrekVKdFpUaVNkZzZXZTJPQWVBVzIvbm1aRytEUEZtTjhmMU9CdTkxWnZWWEQ2SklHaGRsNW1TVnR0NnFpdG5rSkZsajN2aU5aL1B3eEJTYWRSKzBxeWJHWjhZMTlpTklEQXFJSWtSTU1hNHQ2WkZEQzRtR0NxdytGQUVPTVFTS25USzlOZ3VwRFhpZmRFT3AxK2MrRzhjWkt5eU1lam9OT0lCMGdFRkZpSmhlZVcwOGljRzR4bkhWRGEydDBacytRWjhBRmgrWUtMaU9zNFc3d3hqZXNaRHJWc3daMW9aUzlqaER4T0pPUE56OVRTNkk3MWpKeTZzZDNxditsa0ZFRUMxZU5SNVk2ak1NZFUzMmQ1SzY3K1IxcGR4cXU5eHlxUU1US0JWNTY2R011VmQ1MkFrS2VCMXVjaGRFWVhZdHdGbWlGWHI2aS9wMUJpdFdrRVVib0thZ05NdHkvRUg1eGx2S2FPRmdmckVqVldzWFlCV3IrdlZUT1NxVGNXOVVhWVJMNStXdkFOU0x6WU1VREowdVFnNW1ZUG4weXl2TU9HdGJ1ZXU5RldsaUd6dHdoZUlBYlJkZHBqcWRNaFZEWm5WUys1RzdhS2prZXZ1emQ0ZUxMNU1lWmpKTnNwRlIvNVZwQ3FiVnpGQ29RSFozcWgwNE15ZnlNUks2TURvSHlhODcxdGFvQTd4S3laVXFIS2FycS8wdG8wdW1tU2ozVE5MbEFZRkxkMFg0WTQ2bERnRTBZMDJkUlErUU1UUW9ZdGNhNnhLdmFxUUtFNVAyaXIrTlF2SFdDL1g4R1pERzJBbEtZMGRNajJYOEZIZEQ5TVZIT3J3dHNIN25GMFkvSEJrRDJURHliQVFJL0h6UW8zd3NiNzRWZlI2N0pnc1R0ZkFVVUdDVThvZ2Q3UTlsUEVsaXQwZ2psZUFuYjE5Y3VWS3IvUHdteDYxS0ZUSW04aXJwTUYxOUwyY1c3TEtJRFE1aG1GY3V0b0dlSHd4V3lLRG1wV0NKWlV6Y211anFFR09KaFlwRVM2aHh1ZWVPTGpodkNjaGxPb1RCYVFBdldEZzZaWVRmNERmN0xmVUxuMmpPdnVudFNBd3U5RHJzWTNWWGlRWlV1YTZZM0hRRjJkaG1RKzhzTFhnRVY3LytyR094UXQwWGFqbC9MNEpySnVEZ1M1UjE0MXVHeTAyRzdRQWRtRGtCNFhQVER5ays2SUxXS0gxK0g3dlAzTHdERFF2R0FyZEhuakNJejh4Nm5YNDVHSFNiUjRBRnRwRHh2c3FTaGpCNStPSnJhdW9tVmk5TE1CQTcvbXU0RS9CZ1lFckdYSUYwYWdtNFppd0hoUUp2NURnSEFkRjYvR1lLcHI3WUhZV2NteWRNbTRWelJlYTNEeE8rZGxDbnFmNmloMTJjc3NYb3FxMmhMeGkrdm0ycHBvQ0RWditlZVFQWTRLUFBaQmo0RmtNVlRpWlNRQmhocnlsaGs2anJxU3U2SnFMdkNwUXN5d1E1aUY5M3p5bDVEK3RJcWJlamIwN00vdUNCSEo5Vk9kc2NNbHhXV2JvdzgwWkRxeklmU2dCWWpaOC9kMHZnZGE1aUlReU5ha2IyYzRXL2tWM2ZaZUMzTklUQXIzYWZQcmE1RnpwUkIyQWcwdXFTdTJhZzJqWjU4VXM1RG44cjI2Y2VSbWJvNW5Xcy96RzhwREhkbTlMRkEwdUlOWVZsYUlFZWcrOG5WK3Mvbng0c2VMVm9xNGVaSWphKzlKV1dTTGk0Qkg3S0Z4ZjRscjJhNndXVWIyby9IWWRyOUJCcm5jUDkyYnkwMXNDT0hOWEFmekkvTm9sU3A1OThuMzBPNFdpb083TjVWT3JQNnpwTk1wTHJlV0krMU9FQjUvcWRiaXhtM3p6bkxDU1BNclZOVlJiZHVnU2RraVVpdjUxYkJGSjhvUUdPbHVTUzl1U2Z2dmd3ZWhkWXlWQmxkSXZhb2sxNzZvdlNzZlNKSVhoSzFmT0MzN2FPTjdjU3BMQjB4Qi91aVRCZi9BeVBncFE1dDROS2U2Y1ErNGV1OHEydXB3TS9ZSFdjMWdTQ09LV1RJajYvMWppUVBUWU01a1lEYWRQUFNCbWF2VWYrYkE1OG5zd29wbS8wdEYxbm9hTExwaXh3dXc4Umt0b0I2WkhIN2t6UVBGTEFKeHZLL1FTZmFIUDRYUS85UHJnekM4aUxHcDVkNDdiVGRiUmUwL25QUVdhR28yaE1CTlJCMjNrZldKR05mSCtrR1p1aU1YN2JIUDRMK25EWXJCUVVNMi96aU1qMXVOU1ZmL0dGUWVVOHUrbXAvU2x5VEppNGVFTE12OFZvZDhQWXdMS1ZJMTlTSFBBNEJUSi9ZSzFVaCtUbEh2K0J4amluN1hXSnVsZEFYMjNNUWg0Y0FPeGE1ekt6TzZ4T0RZU0hkS2hHS0k3WjZwaXovcXA2VGVLZXB4YmpnUzNQUWZ5ZHIwSVRyMTBVekcycGdET3JWeHZXcUxxbkVpK1pSakd2aHlqMWI5N1d2TmtFVGFjU2FBQnN4RFZWNjU4TjY0Y1IzdmswRnhxblE0c3YwM0hSVytES2NyT0lpdWJBZ0c4eGdGYmpUV01kNlc3YTg3SE5rb0hVVno1RnNyeTZ3SC9oa1VtWCtTVnduc0tGY0RxYUZGdWdReWgvU2ZvdmpmMEpQeFF3MjlzaC9NR1NyQVhVdTUrSkJBNVlPM2hiUGJPekNPVmcvSXZyNjdMOEIvY2ZibTEyNEdWNEdwS1FlM0dNWUVlc0huV202OHRTMTBiUmRoOGx0c2VwMkI0MmtXT2VJd000WTBpVXdRTFYwR25GdkdhWThXVUppRk9YazVxSTRZd0JHUjZ3Q2t3SmZxd3BBQWxrZE9oZU0veHZtRzV3dXJ5UFo0eStpaGJlaVZ0VUl6ODRmZHZXRjRjcE1SbXVNeFNLVVN1TGZ5SzN3Z2ttRTkzVjBWT3dJTVFIdjdEU3FneE9udWdiS21menIxYk5EbzdyR2FCUFdiMlp5bmRCUzBlc2t5a0ZmZHdOVVRiRFRONEFqMHFkdjFsNkJ5WTYyT05rdnQ4elpGS2l6ejNQZVNnMlFvbEd1d0R1UGFySWJBd3RDRXpTa0J3QUpmdmZkdWRuOWJDTU1RY3MybFpPMjJIK1oveWdEWnBEOUsrZUZCWUpmYmFXTWRjMnZ3b3NsV3dCVGlveHhzN0c3dktnL0JGYmpJeWFXOXhWZklCRHJpSWFiTS9wTjVERTIvNEltYnpqZzd1ZnJpMkxpcGszMTdlejRvYm01L2JyM1lFV3Q5V0lHN2ZVMVdJOTlMSG5tRG9ld095RTVmN2c5VHRNbldtcjFvbzNzMkxKZUgzRTgvekd1QWlMZTd6U3cxUk5IWXJjUjRsV0NReGlYeXVFc1NaWjcxaVNVN3QzQWQydzROZ2xvNWlFWGhLc1plLzR4dDIwWlZReE5EY2x3QU9LSktQYkxBaDVBVWxDZDdCUFh4cTRzY0U3eFFlQ0VBWlNoekd2T3Z6bXhyS2RIbUVRdUJrbjFjaW1KRUtPSTFJbjlnZDhralFNRmo1QnFQTjV0SXkwRlY0QXhGcFF0dzEzQnh0VDVVR2RCOEpDZ1JoUVlYTHV3UVdyWlpVUG5VUVZLa2FLTk5nQWxqb1JIUUM2UWpqRXNSZ3g3bUFaSXBPYUQyMVplSlVtZjA1ZnhRbHlHUzl2a24vQVR6ZnpoREN4SXQ0clo1M052ZTltOC9IL0ZlSVBCejYyZnhYNitBNXFNN01Ed3RwazNMNkRXTWxsRXZUQ29pZ1hkQ3QxTGdKclNWY2FQLytNb21yM3g3M3pna3owTFArcEhTbHJpLzkxSlJ2bkRPSTd3NTAwemlwRW14VUc3OXBRb3FRcGs5MGR2SXZoUkFROGpCeWE2dFhMbW5tYitXVnl5YldPWGpwc3VUWWpTd1k1ZU9FNmc2Um0rb3p0S1I5M3owbVRGM3prQ1Z6ckRwcm8yV2szWjRuU0wwdjZjVFhWQ2ZmdnQ2OXNHVVIxcTNoRWhGVk01M2plc3BxbFVleXIxOG91L2FReGN5SXZaUUc5L1k0TzRZcGxOUHV1SC9rSDlxVVhYSnVrM0d0dFJSNGw0aGl5RjZCYmNFeXBnZk5YM2lXVllObm9xYy9XUks0U3l2ZEJueEtBbEZHWnVGQmgyZUpvTVR0Q2ZmYmprbkF4MHhIVmcrRUFGS211TjVYaUFQSFozdDAxUmRJa01sK3N0S25GUk9JeEVhdmhtUEJjZjRDSVcwc1kwcDVOR2piYmd0MjFxZW1MQVU3MXVZajBmeGwzbTlQMmhaRjUzbGZUZ0JYNzErWHpEOXFMdzJ0TFdFODB2Y2srR2hDeSs4OHVNOEdiQTI4NktZOTl1Ym1reWIzRkNyN1graERmMFFMUkNETXNhdUxnR2tEWStXQTEvc1hEaVoxUm5SMG4zNWtyY1ZESEpXS09DQTFva0tYZU5pOTVwLzJqaFVvQ216SnhJa2pZMWRRTmpYRDdDL2VITkpnQmRNdStSNmd3UGhXZWV5OTdKTnhCRzVXMmFJNUQ2VE1lQTJqOFFTM0gzSndaTml4ZnJVdllCSWpsaE5yLzhqOG5OMVVWN2NQMW0rQ0N3YklreHRCbXJkWnVtN0J1TUVWNXdFNzN4cWg2OTczM0c2NG5sZE9ybEg1UmQ4MDRSTStQYXpCNTAvQ3FUOXd3Ym4wMFF6K0xpdkREN3NwSExqd1pZZkFYcXFiV1VkdGJsQTVkWkY2K2pjSW11WUdqSFZwYmpHSnBQT3R4VlorSmlBZGQwMzBvL3l6eWY0QXMvQ1ZIclpKeU03TStlUjZTdnBXZlY5VnJUWnc0Q3duQzBYVmEzU1RYK2RZdy94enVmTk5kblBzbTVIVzZPN1haaGJzY2NVNG5QcHpUSjRtUWVoS2J6d2VyUVJmQ3BPTm1Id3FwME56M0l0c2VTWXhBZlhPVG9mNXF4WVo1c1c1QUhPTlVscEhDZjJuQmtUcS9xbzNxTjNwaTRBbENJZkFXRVh4UEQ0OUlKTTZ5WHF0K1dVM0JaY3o4ZnpBdGx4Umx0ZjVjZklTaEdrSFNXMVNkOTRDTDl3TThuYVhJaWtSY3M4Rkd3SWZuZDlJeVRYNE8zdittTEh4dWVIRWtaV1hjNXFHQnFoNUM1UndlRFl4Skxhbm05OGhYUVhySkdBZmluQ3pucnltanlKTldrWEx1aEFZSFRPVmYxd0UxTzZHcVNzcno1NC9keCtSTEtoeTkwSG5tTXhTOExzV1lldUNrU3RRenhrbVZzZlRSWnF5WURGMmdjUUxMUmJBMkRKWjlZSURnUGJacDZZb2E0M1g0aWpIOG5wdVdkaHRnVm9Mc2QxaG1BOVFnWi90cGgzN1hNR09WSUxUS2ZNUGpCR3ovd2IzY0xiK0QwV3dCZ0I4S2lwd21PUFNjUFQzNmMxeGc0VGpWQ0kxclMvbXduWCtFUkJyeTNGODJBc25GTXpnYzUvUGIvVGlTZzNhM0FrZi9uZTZkellMU1hRU0RQenZWaVJiNGlaNVJTS29aQlN2RWMyR1ppZkIxb05pTEZmaks3NWxDbVhiMlc0TlFtdmpCSlFXbzV2L0lhLytFUXNGK2lTdW5rVUt0ZVExRkxPUHQ0REZjNFN1cDRXWlNydDdYT2swQVRKTnZBWkcrMSt5SGhSeTR0eGZIdEF3cGdIdGZCcU52UzMrbHY5Nm9zcXV3SHUrVHR0Q3djZHgvZ1FsVmVnT2FzcnZIM0dKZlQ3dXNiV0xmUUpVNHpMVHdlcEZiemdnVXdySk1iT3dxeERoM1BsUG4xWnB6MjdzbENGVUpZM294aXFrWmtpQXptSEdoVkF4bFd5WWhSeHd6Y0hFKy8yQUM2TVVmTmFsS3pacUlGTFNPRzN4MFNFdEZrUmVoRWVKQWlpWFV5RTJrallqZnAzVVZtZjBBNlFCemRuSk02L3FieXY5T240eWl5Qldua1NkNmphUk5teWVmVjZDa1NhakRJeXpsSFArK1o4T3lBTWdQVkVaNjVkZndveXJBTDVXUGkxYS82eUxyY1ZTU2tTQUNpUHZTTzlZVGtQVXRnQW91a0hoNzU4SU0xM2xyblFvY2o3MmREeXVqZ2pQQzVtZGtQMm9XZnlvWm9CWmgwR2YxWXhmeEhyT0twYXhJeFpKQUhFUTN3djBVREZrQy92L0kvNEVtVEdObUErTXJpREZvbVpSM2UwbEtYVE9Dajhxa0I5dnZ5ekJmT00wSDgrT041bHVTckVaWVM2SDNBNkhPeForTDFya3pZN1M0a0FtRFhZLzV6V0R1YnUzeXV1ZmFiaDR2LytveTNnU2JVQUhCTXJiT1pIMmt0YTBXR2dFYVlvRGpobC9icWF5K2ZkQkVHUjh1ZlQxOWl6dXhRaERXZzNGV0Eyb1BSZThBdXRTc0FjYm8yOVQ0K2VodFREajErTTh2SVdZMGRQVnlJelUvMUxGa1lnTUhsMkwvZnBxbGZ3MFpsNmZyWEd6VG1KYnloZEhCK1l5eGpQbkM1MGgvL1Era3owazNzTGtpR21FZ0VocXNQd0UxcmJFN1RPNFF0d2thYWg4MDU1T1F6UnFiNS9BdGVpVTBheEJ0NVpjVmt0WlBabUQ5Tm5IMUV6MlNQMlhDQlQ2Y2FjRFoxZkgzOVc0QWlqN25LQ2xzSHVWNDV2ZUttWjhPbzFzKzNMb0hDVm94RDdEVnUzbldOMTBuVlFoMTZyRFQxaVFJRlVRVDhXL2FxejZIRy8vL3o4UWkrNlB4OUdrTmpObjRWeTFTcHduVmx4VEFEZDZJNDVvQ0JxdjU0NnFhaXV2NEhsSHhTOTFsZHhUMEhTaWZNSTF0Q1RVaEQ1eHFwYXR6aEdCRE1zNEk5aXBhWjhzeUpURkVnNEo3WFFhcTZpUldkRC83QklLREswWmJqblhHeVNZWHAxaWtPYm81QkQwY3R6RVg0Z3FVem5rdGp0YnE4WjNuYjRvSWRDSXQwUXhaRzI0RmhnMVBkSVQ1NWxwVmEwdGtHZzczVWQrU0tLWGw5QnpHelQ0ODJIOGF5Z3lKK0w0aTlLRXBLb2I1QmFBZStHTzhIeWdNdzg3N0JVanNPbmVQSDdITXhYZlU2VldaYnZOYlZYVzF1eDhvZGZiOFZ6UjdvSk40Ym41dG1FYW94NzUrM2k1RFRiQXBkYktHVHZ3YzVxaXozNDNsTVJkMnFCc2hyaXZCQW9jWUh2bUxISlNEdnV2L1FkSVExWkg5UE5qRXhUelFqOTZaL1kxTUtVLzFhNTZQMVRxWHdTK2NROUdSV0FIQVZ1dkR6UWVuRG9LRmVQSGJVMlFsdVJPM2tUM3hjOFhnMi9pMjlNRkVoQ0VlWXdHUFNZUzk5NE5Sbk0rVldrdXZEUEVabGtMamxmUFNHZXROSnFNREkrNVI4cUNpK29uN3dUVEhoc1hPOGJTem1waGdGOWFGS3VCV2FiY2QrelRwRndtUTI5SnNNVkE0L3BMQThUeGJkYlBzWG5iNDh3RlZUWTBlYlJHcHdxVTRmN29qT2JQNWNPR0ZqOUd1NFpSZXc5VG9EYzE0RzRjMjlyYzE3MUl3RDNTUE5ZeEJhTGRhSThYTTI2SmFKMHhNbUNlRnJ0UEVhbk9Cc21EZTdzY3dsdDYxcnp6cTRkNURwdEZReG1CU3dWY0svM2E5RmNjZW1QUm9mYXZtWW1makxVWThMRFN2OEs4SVI1RllKUmlTL1NGV0l5bjFvVjRXVUxidFI1aDlmVTlkMUxOcDIrbnlTcHJ4NFFXQy9qYUptSEUyY2FycGhHRmpDVHRld0poNWxLODFkQkh6ZTlydEYrZG9BQUhUVGFzaTVmUHhPdktvQTZWeTFoMzU1U0xNTWRnWUJSOGdiUUJEMytIdkhETUl3WGNRd1NJekErL1dFbGdKeEFuOWFzRURiN3d5bmd2S3pRZDVyMklCNW1QZHJacWUxS2NhZGltMk9GN042cC9aNXpTdklvK0RCZ3hGeC8wWDVjUFFJa0tXMnhZNHozLytkVGZXV3hPRlJmdVpEaTlZTkNxbHpPNFh5RVNSb2hLSzZJaUF5SFNzNWI3QkJuNFVmOEtFdXE4MWc2TzhiVVprZHJZa0RwYVdmTkkxRlljMzZ2aXQ1UGIrWk5JSWlYcXVrRnc3TERsNTY4cXJzSGRzQ3JyRStkUndhdlhHbTlKR1F6TGszNWk1RHJLUitjV015Y251c1VacXErb0hFN1J3cm85clB3cEQzNjllZnB2NTlCZWx3cnJVY1hRZ0VoUmNPKzEvbWtZNlAzdnA5S0p2NmEwSFNvaGZkNHhINzRaelB4SWpkVmRvQUJreXpyQ2tBUUgwTm9COWhzZU9rK3ppbllna0pCQWIvdHQwVk1yRVgwWW9uVW5UMklDL25iNm92dGx4emFCK3FCS2UvVFNVVHBsV2NWR1lLVEZGNzcvK1pEL0N3MndTU2Zva2V3UFhYcXgxNXFPTmNBaSt3NWk4dHZCVzFqb2FwUG1zT2k2cDdwWXVBSGtWbmY5U3NyMmlKY3ljMlN3UElIK210QlhNbXVJVnBqcjdUNytkRnVWMW05Y1NGMG0zZ2pLRmtsOGc1WFZkbldLZmZPTEhWeWREU2FuTmk0RmFHbXo3M3lrMjFzYnY2QlR1dHVCMk5zUDlUYURsdnZ5ek90QXNCV3JMNWtGREh6Qk1qSGJqTzVZVVZoVFVTdXFQTjk2WVlmQmx6Y3l5bGlxWGNMV1U4TkRmeDQrbGRmTkJqZ0cxcjZlNmI1K1d5eUxSRm9obHRJWTZlZ0ZpcTNjbklRL0J6cGpLUXduQ1plUXBUVGxWTE9xcy8wZVJ5ZUVkemM2RFEveXYxWTVGYU5BcUtud3VQQTBxWk1manhrOVNybTFLR1V0T2UvMGlVQmtEaUlXNVZ2c1M3bHNlY0ZGNnRYWTZ4eE1tUzdjYVdPeHZ6cHVBZzc4YzZLTE56SFRxV0V4MHY2M20zVXVQRUtCdjdrS1JCblZsSk56OVlHZkl3NHZwSUY5dW9GK1JXTzF5blQ0MndGSzM2NjNrVlI5NmR5aXhPaDFWNnA3TllTakRWdDVzb3hhczdIaVFnaHhpUGd6NUlUcDhpVjJQOEhtUmdOc3FBWlJ6SWNlWGVNWVhyL1hnTVZob245SkNUbzM0eUZJNzNybkozUnlOKzdKVEdMTG1pTVFjRzNrQkdnTEE4R2JDQlVLc2Jzc2pWaHRZbG1FcE84RnUyb01FZkh2YVVJdTM3NWdGNGxyTk9sVG0vQXRDYk5SQ3RWem5GZlVhQ2p5M3R4WUxoaEtrRVBrM29KUXZUYzJZZGRhWjZ1S2ZnbUw2OXkxeFNMU0Y4YW5mRFVjSjFjVWl0RVdmQ1VXK25ZM2dnU3NNaGVkTzNOU1g4S3p6NGxWbGZMd3dzdWtvU0xKTVBpUUVNK1VNTWhVSWt5d3VsWmQzUE5GS3BLK2lsRk5RUEJ5R0hwSC8xRzduVHZRNG0yNHl0dTdxdUQ1Yko0Kzc4VWhaZ0FHNHd1VldEQUZUVzJLYzJ1V3hXUGZtREFOdVYydGt0NnB2ZG4vZzZWRGo5R1pQSzlDRUMrbCs3TFRlc3JsdzVsK2NvMHRzY3U2cTdkekFPVERUcUtjWWFRWnloRk9zUkloZXM5cGJ1eHI5M1B5R29yNUVoZmhzcVNQc1JFWHQzY3A1VzJhRVc1VUhVMVZNNjNScW11bjZEQmxIdFFaYnlnNFpob1poSUd4N0tKM082T3dEdzZUUjZPNXAwbE0rOFhvQTg0MXY0QkRoUnBlN1JYYmZKTGFEZTJlN2ZmdUdwWWVOemNwQ3RvQ3ZNbkIzRGw2WlRMcDNmUHdFaDM5NlNKdElPWHpzQVcwd21vdmJXelBDVTc1dUxCRDRhR1lIaDg1RGNuY3RuWEtWQml5KzZ2cHJlL21IM2xiam13K0J6S0VUVTBvM2JycVZvYmFBNi9wZXVBdE5zbXlqTlJJbkF0T3RKRTJ0enFuYVBwR0pjeEJVdHpZVUZ5ODE0azk3Zk5XcjZpaFMxMVBreVVUUmI2SEZJWTRJb0lUYUhjeEY3TXY5YXNMUzRrbWZyNzMyVk4vTlNkVThVdzNUc0ZJV2N3SUdUOUNxMHJDMjhaSng0c2F2VG1Cd3VaV0YxdXhvNFdqVDFIS1BRbUUvcGFUM0hBT2tWQXJHSG9GWktsVHl0d2ZHNFEyb1lmMTgvM1ZCZ1dFaVRVd3dibjIycWNkc0dyMjJiQnJHaER2UmQvSTR1WUV4KzV2QzcwcUtBeXIwZTRUSld0ZWpueFFZY25QN1hmS0lJbnhxSFNJbXBLOUFsM0NmNnJITUtsaERMaWJNVVN4eEZ4RXIySWg0bUM5c0NkOFQyVFFsb1IxbStZWDh4bUpRdVFjSWFVeGo0NXV4VXNQQm12YUlYdE5xQUhLZ2krOE83MUFONHgydVhwVVpmeno3Y3l6SVJWaXBjTzJGeEh2MFYyeWNTTldjbmorZ1BQUitlVXF2c0UveDlNSW00OVV3cFZQSUhJL2hXWURTSUF0ejlxSXQrZlQ0eDFsUlRmNWhEcmZxWXl3MmFNVWJvVDJJblBBRFc4ZzhpaGtRaXl3d0ZLenVsWFY2SGQwUytiOEZHcTFlM0puOGZDRmxiQUE1alUzSXI3N29ERmdlbHJqU285a1Zkd1JNakpVYXUzYkJYcmtrcTdKYVpKUzFrSVFrb2lvSmp3dEk3RW9kdWJHRzBMU1J1TVVudThTM3d1Z2I3WmdhaXRjVll4WERBR09PWk44UU0xdFFldjFCcTBVcHJURkZiVjdUY2xoR0FkTlZjQWNFY3Q0T1YvS0dPK2NJODRReE9maGt0TXI3QlZsZmd6cGFvZkswNFQ0bFkzbE9YcW1sbXR2Y0c2akYyc2F3dTJuTXhHeUQ2dHpaUmlZUTdqQ2NDQVFqRDRvVHF0VzBOaHBiK0NTSWtVZ1NMNGVUMnB2WjN1QmFaOUFabzllSFNTc2d0bzliYWduTFVxSWZ2cEhocFpKL2t5NUFPcXBHbytzQk9wcUtnQWNEQ2pDZzBjZXJ5bUJZRkE5QkEvNmxUOHVmRFdka3dTWDliZ2NZSlI2cHNIeEVwTzJsNHZCOEZ0a1lwU2JtZHMwZ0U3SVhMN3NmTzJ5WFdvRlNJYk9sZ2hxMXZ1cXFvdGR4SHlTZE43UlFlTFZrNmlocXZkTVVHTXdscFZLOWRkTmZSWGUzb2lFb3FMMTZhQS8zL3dSeUdhZkhPMnlwd3pRcjM3Y0pWVW9kWlR1bHBXdTZjeEFHUGRxOXhPVHNhRDFBRFZvc0pYajV2eklDcjIwUFZCbXFGenJhUUtuamVGNGNmYXl2Y2drU3huNkZPVjU2c0xnUnNMVDB4dm9GOWxhMjFkZVpsMzZXZkllS0Z4TTA4b3dCa2dZMGp1SE5zbStvK3BxSEErWk5rUEVBOWI4RnFMeG4rYVpSaE5sUVk0cThNNDRjN3Yzd0FoMHI5VnlZbndCby8zalVmeUN4S3k0N0IvRDl5UFByTm9GYVVXK1RLSHFlSkF5WlFISVEvMnBFSERmZ2ZmY2ZwNG5VdkU3K3AyREpRM28yVXNvclhQYkppc3FUSk5JL3NkSG5yVHN1QzJoNldMS09kSFl0TkFNOGZlUUhpc0JqQ3ZWNk5iS2lKOUpjVXkwTkVvQlBLTW1pMFJ4Rll5dHNlSFY0U3U1S1pEa051cGhHM3FDd2E2eUY2TXh0d3pkSVNzaEVleU1uLzMxaXZWNFcxdmNpNm5XYlBac0dsdzk0N2hWd1dtcVduNTQ1ZC94anV0RCtOWHJXZWw2MDhZTFFRWlY2WnphWWxiRkt1UEhkRnArY0tjaFlIeXd2dWN6THBDLzA5QzRFYnNMZjhJWHBXTzVoc2JDUW50YzVGSW5IbmxsWm1ZQWNZa0JOVnFCTGN0Y0tjeHZZZWVtaUFZVklHbkR0RllUcDJ0ZUdNOHRuaUxyN2JGeE1MK3FKQ0dCa2IvL1E3bW92ZjUva212eHEwSks5aGt6NXVKQ0l0QmlvWUFNdUIwNGFxRWpWQlVITmxIempsR0JOOGRnQlZpL2dxWjZFRWZJSVZyR2pQSUpBNUNJMm9QTi9GcEEvM0dhZFlhMVFoelZtWUVidkpTejI1TkpjeVZ0YXFESEdKR0ZYVVg2TmR5bytJQ3FUdXF4VjhJSXRKU2ZsbmRaelZBbVpIaEIwKzMrb1lqc0pxNVd5ZHdzNnVFcGRXRDFTSXV0NVprdXFuY3JGZXB3K010Uy80RkExcmF6Q2RKckEvRkpUcWwvOUZVdWU3SjV0YVpwb1VhN0VNcWNXL2g1eVZkRUlQeTNzV0RZNWZLenY3K1Eva01FMkdReHh2YTV3aDUxdG1qWlQ1M2QvNDZ2MW9Xd2dKZGRyalZQRFJUdVhzS3o3SXJQL2FDUENuVldiVmV6MW5zVXBJaDFZRmE4MXRJdmNramlmUUw3dkFYdHJOMXNJMjVmeFFTSXAxcmRmakNDdzZsWG41disvNWpkNll0Rnp2bmJZdVZQeXF2N3pHQnBzWENrNll1dlVHd1A3M1NVangxdHpZYWw3MFVrOElsNjhqRFRxVk5CQWdndHlxYWRtdFIyN05vUEJmclFOZnBONHVQM2R5RXUycHV6Mis2VFdVLzBOODdDaElFbGFIUTE2aEF2bTUybTVvTWZiU0o5WEdEL1RBRy9OcXd0Mkk2QnlQajJvZnV6MFliemNjUEEvT2lWV2pJdHpTM3N1WjU1NHFseHBVbXZBSWVpYXh0TGk3RmlJbmhoU1RlekpZcjNTMjYrV0VWazhubWVNd2x0ZFVyc0FsajVjamJTa05zM3NDTmVkcXRUa2RteFB4ZDd6NU91WmtCak5GckJvYzZJblZTQlZGZ3lhTG5yU2ZuczdaSll3V2JMR2VqVzN0d3krRVFSaU95SEN3bXFBSThvbVE5NkZNdGdKa05rQmR4YVNuaXF5RVJSSEJVZTlOT1lOQUcrYk5nMmlLZXozaTJVK0Rmdm0wYS9Gc1BRY3Bkc3hqNnFuUmJOd2EyL3ZzbVcwOXR0K1FpVVVML1ZZV3l4eGViWkljdDJEeC9nNmY5MlBwVTZJZ0pUMkdjc0VzbU9lSzFBNjAreDRrNHA3Wnk5SVQxblZTcnNoY0hHV3Fpc3pUekZIMFl0aTVjZDR6Vlk0NlpDSDc1NHdLamp0dVpmU3ZvdVRza0R1UT09In0=< 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