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Pi/+KrcooAw/wDhNPCv/Qy6N/4Hxf8AxVH/AAmnhX/oZdG/8D4v/iq3KKAMP/hNPCv/AEMujf8AgfF/8VR/wmnhX/oZdG/8D4v/AIqtyigDD/4TTwr/ANDLo3/gfF/8VR/wmnhX/oZdG/8AA+L/AOKrcooAw/8AhNPCv/Qy6N/4Hxf/ABVH/CaeFf8AoZdG/wDA+L/4qtyigDD/AOE08K/9DLo3/gfF/wDFUf8ACaeFf+hl0b/wPi/+KrcooAw/+E08K/8AQy6N/wCB8X/xVH/CaeFf+hl0b/wPi/8Aiq3KKAMP/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qtyigDD/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iq3KKAMP8A4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qtyigDD/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKrcooAw/+E08K/wDQy6N/4Hxf/FUf8Jp4V/6GXRv/AAPi/wDiq3KKAMP/AITTwr/0Mujf+B8X/wAVWlp+p6fq0DT6dfW15CrbDJbyrIobAOMqSM4I496tUUAFFFFABRRRQAUUUUAFY01z4lWeQQaTpLwhiEZ9TkVmXPBIFucHHbJ+prZooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/kaj7V4q/wCgNo3/AINpf/katyigDD+1eKv+gNo3/g2l/wDkaj7V4q/6A2jf+DaX/wCRq3KKAMP7V4q/6A2jf+DaX/5Go+1eKv8AoDaN/wCDaX/5GrcooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/kaj7V4q/wCgNo3/AINpf/katyigDD+1eKv+gNo3/g2l/wDkaj7V4q/6A2jf+DaX/wCRq3KKAMP7V4q/6A2jf+DaX/5Go+1eKv8AoDaN/wCDaX/5GrcooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/kaj7V4q/wCgNo3/AINpf/katyigDD+1eKv+gNo3/g2l/wDkaj7V4q/6A2jf+DaX/wCRq3KKAMP7V4q/6A2jf+DaX/5Go+1eKv8AoDaN/wCDaX/5GrcooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/kaj7V4q/wCgNo3/AINpf/katyigDD+1eKv+gNo3/g2l/wDkaj7V4q/6A2jf+DaX/wCRq3KKAMP7V4q/6A2jf+DaX/5Go+1eKv8AoDaN/wCDaX/5GrcooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/kaj7V4q/wCgNo3/AINpf/katyigDD+1eKv+gNo3/g2l/wDkaj7V4q/6A2jf+DaX/wCRq3KKAMP7V4q/6A2jf+DaX/5Go+1eKv8AoDaN/wCDaX/5GrcooAw/tXir/oDaN/4Npf8A5Go+1eKv+gNo3/g2l/8AkatyigDD+1eKv+gNo3/g2l/+RqPtXir/AKA2jf8Ag2l/+Rq3KKAMP7V4q/6A2jf+DaX/AORqPtXir/oDaN/4Npf/AJGrcooAw/tXir/oDaN/4Npf/katLT5NQkgY6jbW1vNuwEt7hplK4HO5kQg5zxj8fS1RQAUUUUAFFFFABRRRQAVjTaLfyzySJ4n1aFWYsI0itSqAnoN0JOB05JPvWzRQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMUf2FqP8A0Nms/wDfqz/+MVuUUAYf9haj/wBDZrP/AH6s/wD4xR/YWo/9DZrP/fqz/wDjFblFAGH/AGFqP/Q2az/36s//AIxR/YWo/wDQ2az/AN+rP/4xW5RQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMUf2FqP8A0Nms/wDfqz/+MVuUUAYf9haj/wBDZrP/AH6s/wD4xR/YWo/9DZrP/fqz/wDjFblFAGH/AGFqP/Q2az/36s//AIxR/YWo/wDQ2az/AN+rP/4xW5RQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMUf2FqP8A0Nms/wDfqz/+MVuUUAYf9haj/wBDZrP/AH6s/wD4xR/YWo/9DZrP/fqz/wDjFblFAGH/AGFqP/Q2az/36s//AIxR/YWo/wDQ2az/AN+rP/4xW5RQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMUf2FqP8A0Nms/wDfqz/+MVuUUAYf9haj/wBDZrP/AH6s/wD4xR/YWo/9DZrP/fqz/wDjFblFAGH/AGFqP/Q2az/36s//AIxR/YWo/wDQ2az/AN+rP/4xW5RQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMUf2FqP8A0Nms/wDfqz/+MVuUUAYf9haj/wBDZrP/AH6s/wD4xR/YWo/9DZrP/fqz/wDjFblFAGH/AGFqP/Q2az/36s//AIxR/YWo/wDQ2az/AN+rP/4xW5RQBh/2FqP/AENms/8Afqz/APjFH9haj/0Nms/9+rP/AOMVuUUAYf8AYWo/9DZrP/fqz/8AjFH9haj/ANDZrP8A36s//jFblFAGH/YWo/8AQ2az/wB+rP8A+MUf2FqP/Q2az/36s/8A4xW5RQBh/wBhaj/0Nms/9+rP/wCMVpafaTWcDRz6jc3zFtwluFjDAYHH7tFGOM9M89atUUAFFFFABRRRQAUUUUAFY03hLw1czyTz+HtJlmkYu8j2UbMzE5JJK8knvWzWNNrV/FPJGnhjVplViokSW1CuAeo3TA4PXkA+1ADP+EL8K/8AQtaN/wCAEX/xNH/CF+Ff+ha0b/wAi/8AiaP7d1H/AKFPWf8Av7Z//H6P7d1H/oU9Z/7+2f8A8foAP+EL8K/9C1o3/gBF/wDE0f8ACF+Ff+ha0b/wAi/+Jo/t3Uf+hT1n/v7Z/wDx+j+3dR/6FPWf+/tn/wDH6AD/AIQvwr/0LWjf+AEX/wATR/whfhX/AKFrRv8AwAi/+Jo/t3Uf+hT1n/v7Z/8Ax+j+3dR/6FPWf+/tn/8AH6AD/hC/Cv8A0LWjf+AEX/xNH/CF+Ff+ha0b/wAAIv8A4mj+3dR/6FPWf+/tn/8AH6P7d1H/AKFPWf8Av7Z//H6AD/hC/Cv/AELWjf8AgBF/8TR/whfhX/oWtG/8AIv/AImj+3dR/wChT1n/AL+2f/x+j+3dR/6FPWf+/tn/APH6AD/hC/Cv/QtaN/4ARf8AxNH/AAhfhX/oWtG/8AIv/iaP7d1H/oU9Z/7+2f8A8fo/t3Uf+hT1n/v7Z/8Ax+gA/wCEL8K/9C1o3/gBF/8AE0f8IX4V/wCha0b/AMAIv/iaP7d1H/oU9Z/7+2f/AMfo/t3Uf+hT1n/v7Z//AB+gA/4Qvwr/ANC1o3/gBF/8TR/whfhX/oWtG/8AACL/AOJo/t3Uf+hT1n/v7Z//AB+j+3dR/wChT1n/AL+2f/x+gA/4Qvwr/wBC1o3/AIARf/E0f8IX4V/6FrRv/ACL/wCJo/t3Uf8AoU9Z/wC/tn/8fo/t3Uf+hT1n/v7Z/wDx+gA/4Qvwr/0LWjf+AEX/AMTR/wAIX4V/6FrRv/ACL/4mj+3dR/6FPWf+/tn/APH6P7d1H/oU9Z/7+2f/AMfoAP8AhC/Cv/QtaN/4ARf/ABNH/CF+Ff8AoWtG/wDACL/4mj+3dR/6FPWf+/tn/wDH6P7d1H/oU9Z/7+2f/wAfoAP+EL8K/wDQtaN/4ARf/E0f8IX4V/6FrRv/AAAi/wDiaP7d1H/oU9Z/7+2f/wAfo/t3Uf8AoU9Z/wC/tn/8foAP+EL8K/8AQtaN/wCAEX/xNH/CF+Ff+ha0b/wAi/8AiaP7d1H/AKFPWf8Av7Z//H6P7d1H/oU9Z/7+2f8A8foAP+EL8K/9C1o3/gBF/wDE0f8ACF+Ff+ha0b/wAi/+Jo/t3Uf+hT1n/v7Z/wDx+j+3dR/6FPWf+/tn/wDH6AD/AIQvwr/0LWjf+AEX/wATR/whfhX/AKFrRv8AwAi/+Jo/t3Uf+hT1n/v7Z/8Ax+j+3dR/6FPWf+/tn/8AH6AD/hC/Cv8A0LWjf+AEX/xNH/CF+Ff+ha0b/wAAIv8A4mj+3dR/6FPWf+/tn/8AH6P7d1H/AKFPWf8Av7Z//H6AD/hC/Cv/AELWjf8AgBF/8TR/whfhX/oWtG/8AIv/AImj+3dR/wChT1n/AL+2f/x+j+3dR/6FPWf+/tn/APH6AD/hC/Cv/QtaN/4ARf8AxNH/AAhfhX/oWtG/8AIv/iaP7d1H/oU9Z/7+2f8A8fo/t3Uf+hT1n/v7Z/8Ax+gA/wCEL8K/9C1o3/gBF/8AE0f8IX4V/wCha0b/AMAIv/iaP7d1H/oU9Z/7+2f/AMfo/t3Uf+hT1n/v7Z//AB+gA/4Qvwr/ANC1o3/gBF/8TR/whfhX/oWtG/8AACL/AOJo/t3Uf+hT1n/v7Z//AB+j+3dR/wChT1n/AL+2f/x+gA/4Qvwr/wBC1o3/AIARf/E0f8IX4V/6FrRv/ACL/wCJo/t3Uf8AoU9Z/wC/tn/8fo/t3Uf+hT1n/v7Z/wDx+gA/4Qvwr/0LWjf+AEX/AMTR/wAIX4V/6FrRv/ACL/4mj+3dR/6FPWf+/tn/APH6P7d1H/oU9Z/7+2f/AMfoAP8AhC/Cv/QtaN/4ARf/ABNH/CF+Ff8AoWtG/wDACL/4mj+3dR/6FPWf+/tn/wDH6P7d1H/oU9Z/7+2f/wAfoAP+EL8K/wDQtaN/4ARf/E0f8IX4V/6FrRv/AAAi/wDiaP7d1H/oU9Z/7+2f/wAfo/t3Uf8AoU9Z/wC/tn/8foAP+EL8K/8AQtaN/wCAEX/xNH/CF+Ff+ha0b/wAi/8AiaP7d1H/AKFPWf8Av7Z//H6P7d1H/oU9Z/7+2f8A8foAP+EL8K/9C1o3/gBF/wDE0f8ACF+Ff+ha0b/wAi/+Jo/t3Uf+hT1n/v7Z/wDx+j+3dR/6FPWf+/tn/wDH6AD/AIQvwr/0LWjf+AEX/wATR/whfhX/AKFrRv8AwAi/+Jo/t3Uf+hT1n/v7Z/8Ax+j+3dR/6FPWf+/tn/8AH6AD/hC/Cv8A0LWjf+AEX/xNH/CF+Ff+ha0b/wAAIv8A4mj+3dR/6FPWf+/tn/8AH6P7d1H/AKFPWf8Av7Z//H6AD/hC/Cv/AELWjf8AgBF/8TR/whfhX/oWtG/8AIv/AImj+3dR/wChT1n/AL+2f/x+j+3dR/6FPWf+/tn/APH6AD/hC/Cv/QtaN/4ARf8AxNH/AAhfhX/oWtG/8AIv/iaP7d1H/oU9Z/7+2f8A8fo/t3Uf+hT1n/v7Z/8Ax+gA/wCEL8K/9C1o3/gBF/8AE0f8IX4V/wCha0b/AMAIv/iaP7d1H/oU9Z/7+2f/AMfo/t3Uf+hT1n/v7Z//AB+gA/4Qvwr/ANC1o3/gBF/8TR/whfhX/oWtG/8AACL/AOJo/t3Uf+hT1n/v7Z//AB+j+3dR/wChT1n/AL+2f/x+gA/4Qvwr/wBC1o3/AIARf/E0f8IX4V/6FrRv/ACL/wCJo/t3Uf8AoU9Z/wC/tn/8fo/t3Uf+hT1n/v7Z/wDx+gA/4Qvwr/0LWjf+AEX/AMTWlp+mafpMDQadY21nCzbzHbxLGpbAGcKAM4A59qzf7d1H/oU9Z/7+2f8A8frS0+7mvIGkn065sWDbRFcNGWIwOf3bsMc46546UAWqKKKACiiigAooooAKKKxprbxK08hg1bSUhLEor6ZIzKueASLgZOO+B9BQBs0Vh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk0fZfFX/QZ0b/wUy//ACTQBuUVh/ZfFX/QZ0b/AMFMv/yTR9l8Vf8AQZ0b/wAFMv8A8k0AblFYf2XxV/0GdG/8FMv/AMk1pafHqEcDDUbm2uJt2Q9vbtCoXA42s7knOec/h6gFqiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKxpvDNhPPJM9xqwaRixCavdIoJOeFWQAD2AAFbNY03i3w1bTyQT+IdJimjYo8b3sasrA4IILcEHtQAz/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2j/AIRPTv8An51n/wAHV5/8do/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoAP+ET07/n51n/wdXn/x2j/hE9O/5+dZ/wDB1ef/AB2j/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgA/wCET07/AJ+dZ/8AB1ef/HaP+ET07/n51n/wdXn/AMdo/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqAD/hE9O/5+dZ/wDB1ef/AB2j/hE9O/5+dZ/8HV5/8do/4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgA/4RPTv+fnWf/B1ef8Ax2tLT9Ph02BoYHuXVm3k3F1JO2cAfekZiBx0zj86zf8AhNPCv/Qy6N/4Hxf/ABVaWn6np+rQNPp19bXkKtsMlvKsihsA4ypIzgjj3oAtUUUUAFFFFABRRRQAUUVjTa1fxTyRp4Y1aZVYqJEltQrgHqN0wOD15APtQBs0Vh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP0f27qP8A0Kes/wDf2z/+P0AblFYf9u6j/wBCnrP/AH9s/wD4/R/buo/9CnrP/f2z/wDj9AG5RWH/AG7qP/Qp6z/39s//AI/R/buo/wDQp6z/AN/bP/4/QBuUVh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP0f27qP8A0Kes/wDf2z/+P0AblFYf9u6j/wBCnrP/AH9s/wD4/R/buo/9CnrP/f2z/wDj9AG5RWH/AG7qP/Qp6z/39s//AI/R/buo/wDQp6z/AN/bP/4/QBuUVh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP0f27qP8A0Kes/wDf2z/+P0AblFYf9u6j/wBCnrP/AH9s/wD4/R/buo/9CnrP/f2z/wDj9AG5RWH/AG7qP/Qp6z/39s//AI/R/buo/wDQp6z/AN/bP/4/QBuUVh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP0f27qP8A0Kes/wDf2z/+P0AblFYf9u6j/wBCnrP/AH9s/wD4/R/buo/9CnrP/f2z/wDj9AG5RWH/AG7qP/Qp6z/39s//AI/R/buo/wDQp6z/AN/bP/4/QBuUVh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP0f27qP8A0Kes/wDf2z/+P0AblFYf9u6j/wBCnrP/AH9s/wD4/R/buo/9CnrP/f2z/wDj9AG5RWH/AG7qP/Qp6z/39s//AI/R/buo/wDQp6z/AN/bP/4/QBuUVh/27qP/AEKes/8Af2z/APj9H9u6j/0Kes/9/bP/AOP0AblFYf8Abuo/9CnrP/f2z/8Aj9H9u6j/ANCnrP8A39s//j9AG5RWH/buo/8AQp6z/wB/bP8A+P0f27qP/Qp6z/39s/8A4/QBuUVh/wBu6j/0Kes/9/bP/wCP1pafdzXkDST6dc2LBtoiuGjLEYHP7t2GOcdc8dKALVFFFABRRRQAUUUUAFFFY01t4laeQwatpKQliUV9MkZlXPAJFwMnHfA+goA2aKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmj7L4q/wCgzo3/AIKZf/kmgDcorD+y+Kv+gzo3/gpl/wDkmj7L4q/6DOjf+CmX/wCSaANyisP7L4q/6DOjf+CmX/5Jo+y+Kv8AoM6N/wCCmX/5JoA3KKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmj7L4q/wCgzo3/AIKZf/kmgDcorD+y+Kv+gzo3/gpl/wDkmj7L4q/6DOjf+CmX/wCSaANyisP7L4q/6DOjf+CmX/5Jo+y+Kv8AoM6N/wCCmX/5JoA3KKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmj7L4q/wCgzo3/AIKZf/kmgDcorD+y+Kv+gzo3/gpl/wDkmj7L4q/6DOjf+CmX/wCSaANyisP7L4q/6DOjf+CmX/5Jo+y+Kv8AoM6N/wCCmX/5JoA3KKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmj7L4q/wCgzo3/AIKZf/kmgDcorD+y+Kv+gzo3/gpl/wDkmj7L4q/6DOjf+CmX/wCSaANyisP7L4q/6DOjf+CmX/5Jo+y+Kv8AoM6N/wCCmX/5JoA3KKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmj7L4q/wCgzo3/AIKZf/kmgDcorD+y+Kv+gzo3/gpl/wDkmj7L4q/6DOjf+CmX/wCSaANyisP7L4q/6DOjf+CmX/5Jo+y+Kv8AoM6N/wCCmX/5JoA3KKw/svir/oM6N/4KZf8A5Jo+y+Kv+gzo3/gpl/8AkmgDcorD+y+Kv+gzo3/gpl/+SaPsvir/AKDOjf8Agpl/+SaANyisP7L4q/6DOjf+CmX/AOSaPsvir/oM6N/4KZf/AJJoA3KKw/svir/oM6N/4KZf/kmtLT49QjgYajc21xNuyHt7doVC4HG1nck5zzn8PUAtUUUUAFFFFABRRRQAUUVjTeEvDVzPJPP4e0mWaRi7yPZRszMTkkkrySe9AGzRWH/whfhX/oWtG/8AACL/AOJo/wCEL8K/9C1o3/gBF/8AE0AblFYf/CF+Ff8AoWtG/wDACL/4mj/hC/Cv/QtaN/4ARf8AxNAG5RWH/wAIX4V/6FrRv/ACL/4mj/hC/Cv/AELWjf8AgBF/8TQBuUVh/wDCF+Ff+ha0b/wAi/8AiaP+EL8K/wDQtaN/4ARf/E0AblFYf/CF+Ff+ha0b/wAAIv8A4mj/AIQvwr/0LWjf+AEX/wATQBuUVh/8IX4V/wCha0b/AMAIv/iaP+EL8K/9C1o3/gBF/wDE0AblFYf/AAhfhX/oWtG/8AIv/iaP+EL8K/8AQtaN/wCAEX/xNAG5RWH/AMIX4V/6FrRv/ACL/wCJo/4Qvwr/ANC1o3/gBF/8TQBuUVh/8IX4V/6FrRv/AAAi/wDiaP8AhC/Cv/QtaN/4ARf/ABNAG5RWH/whfhX/AKFrRv8AwAi/+Jo/4Qvwr/0LWjf+AEX/AMTQBuUVh/8ACF+Ff+ha0b/wAi/+Jo/4Qvwr/wBC1o3/AIARf/E0AblFYf8AwhfhX/oWtG/8AIv/AImj/hC/Cv8A0LWjf+AEX/xNAG5RWH/whfhX/oWtG/8AACL/AOJo/wCEL8K/9C1o3/gBF/8AE0AblFYf/CF+Ff8AoWtG/wDACL/4mj/hC/Cv/QtaN/4ARf8AxNAG5RWH/wAIX4V/6FrRv/ACL/4mj/hC/Cv/AELWjf8AgBF/8TQBuUVh/wDCF+Ff+ha0b/wAi/8AiaP+EL8K/wDQtaN/4ARf/E0AblFYf/CF+Ff+ha0b/wAAIv8A4mj/AIQvwr/0LWjf+AEX/wATQBuUVh/8IX4V/wCha0b/AMAIv/iaP+EL8K/9C1o3/gBF/wDE0AblFYf/AAhfhX/oWtG/8AIv/iaP+EL8K/8AQtaN/wCAEX/xNAG5RWH/AMIX4V/6FrRv/ACL/wCJo/4Qvwr/ANC1o3/gBF/8TQBuUVh/8IX4V/6FrRv/AAAi/wDiaP8AhC/Cv/QtaN/4ARf/ABNAG5RWH/whfhX/AKFrRv8AwAi/+Jo/4Qvwr/0LWjf+AEX/AMTQBuUVh/8ACF+Ff+ha0b/wAi/+Jo/4Qvwr/wBC1o3/AIARf/E0AblFYf8AwhfhX/oWtG/8AIv/AImj/hC/Cv8A0LWjf+AEX/xNAG5RWH/whfhX/oWtG/8AACL/AOJo/wCEL8K/9C1o3/gBF/8AE0AblFYf/CF+Ff8AoWtG/wDACL/4mj/hC/Cv/QtaN/4ARf8AxNAG5RWH/wAIX4V/6FrRv/ACL/4mj/hC/Cv/AELWjf8AgBF/8TQBuUVh/wDCF+Ff+ha0b/wAi/8AiaP+EL8K/wDQtaN/4ARf/E0AblFYf/CF+Ff+ha0b/wAAIv8A4mj/AIQvwr/0LWjf+AEX/wATQBuUVh/8IX4V/wCha0b/AMAIv/iaP+EL8K/9C1o3/gBF/wDE0AblFYf/AAhfhX/oWtG/8AIv/iaP+EL8K/8AQtaN/wCAEX/xNAG5RWH/AMIX4V/6FrRv/ACL/wCJo/4Qvwr/ANC1o3/gBF/8TQBuUVh/8IX4V/6FrRv/AAAi/wDiaP8AhC/Cv/QtaN/4ARf/ABNAG5RWH/whfhX/AKFrRv8AwAi/+JrS0/TNP0mBoNOsbazhZt5jt4ljUtgDOFAGcAc+1AFqiiigAooooAKKKKACiisabxb4atp5IJ/EOkxTRsUeN72NWVgcEEFuCD2oA2aKw/8AhNPCv/Qy6N/4Hxf/ABVH/CaeFf8AoZdG/wDA+L/4qgDcorD/AOE08K/9DLo3/gfF/wDFUf8ACaeFf+hl0b/wPi/+KoA3KKw/+E08K/8AQy6N/wCB8X/xVH/CaeFf+hl0b/wPi/8AiqANyisP/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgDcorD/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqANyisP8A4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgDcorD/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoA3KKw/+E08K/wDQy6N/4Hxf/FUf8Jp4V/6GXRv/AAPi/wDiqANyisP/AITTwr/0Mujf+B8X/wAVR/wmnhX/AKGXRv8AwPi/+KoA3KKw/wDhNPCv/Qy6N/4Hxf8AxVH/AAmnhX/oZdG/8D4v/iqANyisP/hNPCv/AEMujf8AgfF/8VR/wmnhX/oZdG/8D4v/AIqgDcorD/4TTwr/ANDLo3/gfF/8VR/wmnhX/oZdG/8AA+L/AOKoA3KKw/8AhNPCv/Qy6N/4Hxf/ABVH/CaeFf8AoZdG/wDA+L/4qgDcorD/AOE08K/9DLo3/gfF/wDFUf8ACaeFf+hl0b/wPi/+KoA3KKw/+E08K/8AQy6N/wCB8X/xVH/CaeFf+hl0b/wPi/8AiqANyisP/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgDcorD/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqANyisP8A4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgDcorD/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoA3KKw/+E08K/wDQy6N/4Hxf/FUf8Jp4V/6GXRv/AAPi/wDiqANyisP/AITTwr/0Mujf+B8X/wAVR/wmnhX/AKGXRv8AwPi/+KoA3KKw/wDhNPCv/Qy6N/4Hxf8AxVH/AAmnhX/oZdG/8D4v/iqANyisP/hNPCv/AEMujf8AgfF/8VR/wmnhX/oZdG/8D4v/AIqgDcorD/4TTwr/ANDLo3/gfF/8VR/wmnhX/oZdG/8AA+L/AOKoA3KKw/8AhNPCv/Qy6N/4Hxf/ABVH/CaeFf8AoZdG/wDA+L/4qgDcorD/AOE08K/9DLo3/gfF/wDFUf8ACaeFf+hl0b/wPi/+KoA3KKw/+E08K/8AQy6N/wCB8X/xVH/CaeFf+hl0b/wPi/8AiqANyisP/hNPCv8A0Mujf+B8X/xVH/CaeFf+hl0b/wAD4v8A4qgDcorD/wCE08K/9DLo3/gfF/8AFUf8Jp4V/wChl0b/AMD4v/iqANyisP8A4TTwr/0Mujf+B8X/AMVR/wAJp4V/6GXRv/A+L/4qgDcorD/4TTwr/wBDLo3/AIHxf/FUf8Jp4V/6GXRv/A+L/wCKoA3KKw/+E08K/wDQy6N/4Hxf/FUf8Jp4V/6GXRv/AAPi/wDiqANyisP/AITTwr/0Mujf+B8X/wAVR/wmnhX/AKGXRv8AwPi/+KoA3KKw/wDhNPCv/Qy6N/4Hxf8AxVaWn6np+rQNPp19bXkKtsMlvKsihsA4ypIzgjj3oAtUUUUAFFFFABRRRQAUUVjTa1fxTyRp4Y1aZVYqJEltQrgHqN0wOD15APtQBs0Vh/27qP8A0Kes/wDf2z/+P0f27qP/AEKes/8Af2z/APj9AG5RWH/buo/9CnrP/f2z/wDj9H9u6j/0Kes/9/bP/wCP0AblFYf9u6j/ANCnrP8A39s//j9H9u6j/wBCnrP/AH9s/wD4/QBuUVh/27qP/Qp6z/39s/8A4/R/buo/9CnrP/f2z/8Aj9AG5RWH/buo/wDQp6z/AN/bP/4/R/buo/8AQp6z/wB/bP8A+P0AblFYf9u6j/0Kes/9/bP/AOP0f27qP/Qp6z/39s//AI/QBuUVh/27qP8A0Kes/wDf2z/+P0f27qP/AEKes/8Af2z/APj9AG5RWH/buo/9CnrP/f2z/wDj9H9u6j/0Kes/9/bP/wCP0AblFYf9u6j/ANCnrP8A39s//j9H9u6j/wBCnrP/AH9s/wD4/QBuUVh/27qP/Qp6z/39s/8A4/R/buo/9CnrP/f2z/8Aj9AG5RWH/buo/wDQp6z/AN/bP/4/R/buo/8AQp6z/wB/bP8A+P0AblFYf9u6j/0Kes/9/bP/AOP0f27qP/Qp6z/39s//AI/QBuUVh/27qP8A0Kes/wDf2z/+P0f27qP/AEKes/8Af2z/APj9AG5RWH/buo/9CnrP/f2z/wDj9H9u6j/0Kes/9/bP/wCP0AblFYf9u6j/ANCnrP8A39s//j9H9u6j/wBCnrP/AH9s/wD4/QBuUVh/27qP/Qp6z/39s/8A4/R/buo/9CnrP/f2z/8Aj9AG5RWH/buo/wDQp6z/AN/bP/4/R/buo/8AQp6z/wB/bP8A+P0AblFYf9u6j/0Kes/9/bP/AOP0f27qP/Qp6z/39s//AI/QBuUVh/27qP8A0Kes/wDf2z/+P0f27qP/AEKes/8Af2z/APj9AG5RWH/buo/9CnrP/f2z/wDj9H9u6j/0Kes/9/bP/wCP0AblFYf9u6j/ANCnrP8A39s//j9H9u6j/wBCnrP/AH9s/wD4/QBuUVh/27qP/Qp6z/39s/8A4/R/buo/9CnrP/f2z/8Aj9AG5RWH/buo/wDQp6z/AN/bP/4/R/buo/8AQp6z/wB/bP8A+P0AblFYf9u6j/0Kes/9/bP/AOP0f27qP/Qp6z/39s//AI/QBuUVh/27qP8A0Kes/wDf2z/+P0f27qP/AEKes/8Af2z/APj9AG5RWH/buo/9CnrP/f2z/wDj9H9u6j/0Kes/9/bP/wCP0AblFYf9u6j/ANCnrP8A39s//j9H9u6j/wBCnrP/AH9s/wD4/QBuUVh/27qP/Qp6z/39s/8A4/R/buo/9CnrP/f2z/8Aj9AG5RWH/buo/wDQp6z/AN/bP/4/R/buo/8AQp6z/wB/bP8A+P0AblFYf9u6j/0Kes/9/bP/AOP0f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date 06/26/2018 │ page 2 of 6CUI Inc │ SERIES: NEMA11-AMT112S │ DESCRIPTION: STEPPER SERVO MOTOR
AMT112S ENCODER
ELECTRICAL
parameter conditions/description min typ max units
power supply VDD 4.5 5 5.5 V
start up time 200 ms
current consumption with unloaded output 16 mA
output high level VDD-0.1 V
output low level 0.1 V
output current (per channel) 15 mA
rise/fall time 8 ns
INCREMENTAL CHARACTERISTICS
parameter conditions/description min typ max units
channels CMOS Voltage: A, B, Z
waveform CMOS voltage square wave
phase dierence A leads B for CCW rotation (viewed from front)
quadrature resolutions148, 96, 100, 125, 192, 200, 250, 256, 360, 384, 400, 500,
512, 768, 800, 1000, 1024, 1600, 2000, 2048, 2500, 4096 PPR
index2one pulse per 360 degree rotation
accuracy 0.2 degrees
quadrature duty cycle 50 %
Notes: 1. Resolution programmed with AMT Viewpoint™ PC software. Default resolution set to 400 PPR.
2. Zero position alignment set with AMT One Touch Zero™ module, AMT Viewpoint™ PC software, or serial commands
MECHANICAL
parameter conditions/description min typ max units
weight 15.7 g
rotational speed (at each
resolution)
48, 96, 100, 125, 192, 200, 250, 256, 384, 400,
500, 512, 800, 1000, 1024, 2048 8000 RPM
360, 768, 1600, 2000, 4096 4000 RPM
2500 2500 RPM
ENCODER WAVEFORMS
Z
A
B
P
T
S S S S
Quadrature signals with index showing
counter-clockwise rotation
Figure 1
Parameter Description Expression Units
T period 360/R mechanical degrees
P pulse width T/2 mechanical degrees
I index width P/2 mechanical degrees
S A/B state width P/2 mechanical degrees
The following parameters are dened by the resolution selected for each
encoder, where R = resolution.
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