InputRate.9-4.0 = 20
Solution.9-4.0 = AwAAAKkBAAASAPz/GgD8/wIAABIA/P8bAPz/AgAAEgD8/xkA/P8CAAASAPz/HAD8/wIAABIA/P8YAPz/AgAAEgD8/x0A/P8CAAASAPz/FwD8/wIAAIoA/P8YAPv/AQAAEgD8/x4A/P8CAAASAPz/FgD8/wIAABIA/P8XAPv/AQAAAQD8/xgA+v8AAAASAPz/HwD8/wIAAJUA/P8eAPv/AQAAEgD8/xUA/P8CAAASAPz/FwD6/wEAAIoA/P8YAPn/AQAAEgD8/yAA/P8CAAACAPz/HwD7/wAAABIA/P8UAPz/AgAAEgD8/xcA+f8BAAABAPz/GAD4/wAAABIA/P8hAPz/AgAAAgD8/x8A+v8AAAASAPz/EwD8/wIAAAAA/P8XAPj/AQAAigD8/xgA9/8BAAASAPz/IgD8/wIAAAIA/P8fAPn/AAAACQD8/xIA/P8CAAAAAPz/FwD3/wEAAAEA/P8YAPb/AAAAEgD8/yMA/P8CAAAAAPz/HgD5/wAAAAIA/P8fAPj/AAAACQD8/xEA/P8CAAACAPz/EgD7/wAAAAAA/P8XAPb/AQAAAAD8/x4A+P8AAAACAPz/HwD3/wAAAAkA/P8QAPz/AgAAAgD8/xEA+/8AAAASAPz/EgD6/wAAAAAA/P8XAPX/AQAAAAD8/x4A9/8AAAACAPz/HwD2/wAAAAkA/P8PAPz/AgAAAgD8/xAA+/8AAAASAPz/EQD6/wAAAAgA/P8SAPn/AQAAAAD8/xcA9P8BAAACAPz/HwD1/wAAAAkA/P8OAPz/AgAABQD8/w8A+/8BAAASAPz/EAD6/wAAABIA/P8RAPn/AAAACAD8/xMA+f8BAAACAPz/GAD0/wAAAAAA/P8XAPP/AQAAAgD8/x8A9P8AAAACAPz/DQD8/wAAAAkA/P8OAPv/AgAAEgD8/w8A+v8CAAASAPz/EAD5/wAAAAQA/P8ZAPT/AQAAAgD8/xgA8/8AAAAAAPz/FwDy/wEAAAIA/P8fAPP/AAAAAgD8/w0A+/8AAAAJAPz/DgD6/wIAAAUA/P8PAPn/AAAAEgD8/xkA9f8DAAACAPz/GADy/wAAAAIA/P8XAPH/AAAAAgD8/x4A8/8AAAASAPz/HwDy/wIAAAUA/P8NAPr/AQAACQD8/w4A+f8CAAASAPz/GgD1/wMAAAIA/P8YAPH/AAAAAgD8/xcA8P8AAAACAPz/HgDy/wAAABIA/P8gAPL/AgAAEgD8/w0A+f8CAAABAPz/GwD1/wAAAAIA/P8WAPD/AAAAEgD8/x0A8v8CAAACAPz/HgDx/wAAABIA/P8gAPH/AQAAEgD8/xsA9P8DAAAPAPz/FQDw/wEEAJUA/P8cAPL/AQAAAgD8/x4A8P8AAACVAPz/IQDx/wEAABIA/P8gAPD/AQAAEgD8/xsA8v8CAAAEAPz/HADz/wAAAIMA/P8cAPH/AAAABAD8/x4A7/8BAAAEAPz/IQDw/wAAABIA/P8gAO//AQAAEgD8/xsA8f8CAAASAPz/HADw/wMAABIA/P8dAO//AQAAgwD8/yAA7v8AAAACAPz/IwDy/wAAABIA/P8aAPH/AgAAEgD8/xwA7/8DAAASAPz/HQDu/wEAAJUA/P8hAO7/AQAACAD8/x8A7v8AAAACAPz/IgDy/wAAAAIA/P8jAPH/AAAAEgD8/xoA8P8CAAASAPz/GwDv/wMAAJUA/P8iAO7/AQAABAD8/yEA7f8AAAACAPz/IwDw/wAAAAkA/P8ZAPD/AQAACAD8/xoA7/8AAAAEAPz/IgDv/wEAAIMA/P8hAOz/AAAAAgD8/yMA7/8AAAAAAPz/GQDv/wEAAAgA/P8aAO7/AQAAAgD8/yIA7P8AAAAFAPz/IADs/wAAAAgA/P8ZAO7/AQAABAD8/yIA6/8BAAAEAPz/IADr/wAAABIA/P8jAOv/AgAABQD8/yIA6v8BAAACAPz/HwDr/wAAABIA/P8gAOr/AQAAlQD8/x4A6/8BAAASAPz/IADp/wEAAIMA/P8eAOr/AwAABAD8/yEA6f8BAAABAPz/IADo/wAAABIA/P8dAOr/AQAACAD8/x4A6f8BAAAFAPz/IQDo/wEAAAIA/P8gAOf/AAAAEgDw/x0A/f8BAAAEAPz/HQDp/wAAAAUA/P8eAOj/AQAAgwD8/yIA6P8AAAACAPz/HwDn/wAAABIA/P8gAOb/AgAAEgDw/xwA/f8BAACVAPz/HADp/wEAAAIA/P8eAOf/AAAAEgD8/yIA5/8CAAASAPz/IQDm/wIAAAIA8P8bAP3/AAAAEgD8/yMA5/8CAAAEAPz/HQDn/wEAABIA/P8iAOb/AgAAAgDw/xoA/f8AAAACAPH/GwD9/wAAABIA/P8jAOb/AgAAEgD8/xwA5/8BAACKAPz/HQDm/wEAAAIA8P8ZAP3/AAAAAADx/xoA/f8DAAACAPL/GwD9/wAAAAQA/P8bAOf/AAAAAgDw/xgA/f8AAACVAPL/GgD9/wMAABIA/P8aAOf/AQAAAgD8/xsA5v8AAAACAPD/FwD9/wAAACMA/P8ZAOf/AQAAAgD8/xoA6P8AAAAFAPz/GgDm/wEAAAkA8P8WAP3/AwAAAgD8/xkA6P8AAACKAPz/GQDm/wEAABIA/P8aAOn/AQAAEgDw/xUA/f8CAAASAPz/GQDp/wAAAAIA/P8aAOr/AAAAEgDw/xQA/f8CAAASAO//FQD9/wIAAJUA/P8ZAOr/AQAABAD8/xsA6v8BAAACAPz/GgDr/wAAACMA8P8TAP3/AgAAEgDu/xUA/f8CAAAAAPz/GQDr/wEAAAIA/P8bAOv/AAAAEgDw/xIA/f8CAAAjAO//EwD9/wIAABIA/P8cAOv/AQAAEgDw/xEA/f8CAAAAAO7/EwD9/wEAABIA7f8WAP3/AAAAEgDv/xEA/f8CAAASAOz/FgD9/wAAABIA7v8RAP3/AwAAEgDs/xYA/v8AAAASAOz/FgD8/wAAAAgA+f8eAOX/AgAACQDt/xEA/f8CAAASAOz/FgD//wAAABIA7P8WAPv/AAAABQD5/x0A5f8CAAASAPr/HgDl/wEAAA8A7f8SAP3/AgQAEgDs/xYAAAAAAAASAOz/FgD6/wAAAAgA+f8cAOX/AgAAGQD6/x8A5f8AAAAFAPn/GwDl/wIAABkA+/8fAOX/AAAACAD5/xoA5f8CAAAZAPz/HwDl/wAAABIA+f8ZAOX/AQAAGQD9/x8A5f8AAAASAPn/GADl/wEAABkA/v8fAOX/AAAAEgD5/xcA5f8BAAAZAP//HwDl/wAAABIA+f8WAOX/AQAAGQAAAB8A5f8AAACDAPn/FQDl/wIAAAEA7v8NAP3/AwAAAQDv/w0A/f8DAAABAPD/DQD9/wMAAIoA8f8NAP3/AAAAEgDy/w0A/f8CAAASAPL/DgD9/wAAAAIA8/8NAP3/AAAAEgDy/w8A/f8AAAACAPP/DgD9/wAAAAIA9P8NAP3/AAAACADy/woA/f8CAAAQAPP/CwD9/wEHAAIA9P8MAP3/AAAAEgDy/xAA/f8AAAAEAPP/DwD9/wMAABIA9f8NAP3/AwAAAQDy/wkA/f8DAAACAPT/CwD9/wAAABIA8v8RAP3/AAAAAADz/xAA/f8CAAAPAPT/DwD9/wMJAAQA9f8OAP3/AwAAAQD8/wkA/f8BAAABAPP/CQD9/wIAABIA8v8SAP3/AAAAAAD0/xAA/f8CAAAPAPb/DgD9/wMDABIA+/8JAP3/AwAAAQD8/wkA/P8BAAASAPL/EwD9/wAAAAIA9P8RAP3/AAAAEgD1/xAA/f8CAACDAPb/DwD9/wMAABIA+v8JAP3/AwAACQD7/woA/f8BAAABAPz/CQD7/wEAABIA8v8UAP3/AAAAAgD0/xIA/f8AAAAEAPX/EQD9/wMAABIA9v8QAP3/AgAABQD6/woA/f8CAAAJAPv/CwD9/wEAAAEA/P8JAPr/AQAAEgDy/xUA/f8AAAASAPP/FAD9/wAAAAIA9P8TAP3/AAAAlQD2/xEA/f8DAAASAPf/EAD9/wIAABIA+P8JAP3/AwAAAgD6/wsA/f8AAAAJAPv/DAD9/wEAAAEA/P8JAPn/AQAAAQDy/xYA/f8DAAACAPT/FAD9/wAAAAIA+P8QAP3/AAAAEQD8/wkA8P8BAAASAPz/CQDu/wIAABIA9/8JAP3/AwAAAgD6/wwA/f8AAAABAPn/CwD9/wIAAAkA+/8NAP3/AQAAigD8/wkA+P8AAAABAPP/FgD9/wMAAAUA9P8VAP3/AwAAAgD4/xEA/f8AAAAEAPj/DwD9/wMAABIA/P8KAPD/AgAADwD8/woA7v8ABgASAPz/CQDt/wIAAAQA9/8KAP3/AwAAAgD6/w0A/f8AAAAIAPn/DAD9/wMAAAkA+/8OAP3/AQAABAD8/wkA9/8BAAABAPT/FgD9/wMAAAIA+P8SAP3/AAAAEgD5/xEA/f8CAAASAPj/DgD9/wMAAAkA+f8PAP3/AQAAAAD8/wkA9v8BAACKAPz/CwDw/wAAAAQA/P8LAO7/AQAAEgD8/wkA7P8CAAACAPf/CwD9/wAAAAIA+v8OAP3/AAAAEgD7/w8A/f8BAAAPAPz/CgD3/wAHAAEA9f8WAP3/AwAAEgD6/xEA/f8CAAASAPj/DQD9/wMAAAEA/P8LAPH/AQAAEAD8/wsA7f8BAgASAPz/CgDs/wEAAAIA9/8MAP3/AAAAEgD7/xAA/f8BAAASAPz/CwD3/wAAAA8A/P8JAPT/AAIAAQD2/xYA/f8DAACVAPr/EgD9/wMAAAUA+v8QAP3/AwAAEgD7/xEA/f8CAAACAPf/DQD9/wAAAAEA/P8LAPL/AQAAAAD8/wwA7f8AAAASAPz/CgDr/wEAAAIA/P8MAPf/AAAAAgD8/wsA9v8AAAACAPz/CgD0/wAAAAEA9v8VAP3/AgAAAQD3/xYA/f8DAAAEAPv/EgD9/wIAAAEA/P8LAPP/AQAAEgD8/wwA7P8BAAACAPz/CwDr/wAAAAQA/P8NAPf/AQAAAgD8/wwA9v8AAAACAPz/CwD1/wAAAAIA/P8KAPX/AAAABAD3/xUA/f8CAAABAPj/FgD9/wMAAAIA+/8TAP3/AAAAAgD8/wwA6/8AAAABAPn/CQDl/wMAABIA/P8OAPf/AAAAEgD8/wwA9f8AAAASAPf/FAD9/wIAAAIA+P8VAP3/AAAAAQD5/xYA/f8DAAACAPv/FAD9/wAAAAQA/P8NAOv/AAAAAgD8/w8A9/8AAAAFAPz/DAD0/wEAAAEA+v8WAP3/AwAAAgD7/xUA/f8AAAAEAPr/FAD9/wIAABIA/P8OAOv/AQAABAD8/w0A9P8AAAAPAPv/FgD9/wMGAA8A+f8UAP3/AgcAlQD8/w8A6/8BAAASAPz/DgDq/wEAAAAA/P8QAOv/AAAAEgD8/w4A6f8DAAASAPz/EQDr/wEAABIA/P8QAOz/AQAAEgD8/w8A6f8BAAASAPz/DQDp/wMAABkA/P8SAOv/AAAAEgD8/xAA7f8BAAASAPz/DwDo/wEAABIA/P8MAOn/AwAAAQD8/xIA7P8BAAABAPz/EgDq/wEAABIA/P8PAO3/AQAAIwD8/w8A5/8BAAASAPz/CwDp/wMAAIoA/P8SAO3/AQAAAQD8/xIA6f8BAAAEAPz/DgDt/wAAABIA/P8QAOf/AAAACAD8/w8A5v8CAAASAPz/CgDp/wMAAAEA/P8SAO7/AQAAAQD8/xIA6P8BAACKAPz/DgDu/wAAABIA/P8RAOf/AAAAAQD8/xIA5/8BAAASAPz/EQDm/wAAAAEA/P8SAOb/AQAAEgD8/xEA5f8CAAASAP3/EQDl/wMAABIA/v8RAOX/AwAAEgD//xEA5f8DAAABAPr/EQDl/wIAABIAAAARAOX/AwAAEgAAABIA5f8BAAASAAAAEwDl/wEAABIAAAAUAOX/AQAAEgAAABUA5f8BAAASAAAAFgDl/wEAABIAAAAXAOX/AQAAEgAAABgA5f8BAAASAAAAGQDl/wEAABIA/P8aAP3/AgAAAAD7/xoA/f8DAACVAPz/DgD1/wAAAIMA+/8SAOX/AQAAAQD7/xMA5f8CAAABAPz/EwDl/wIAAIoA/P8aAPP/AQAAEgD8/x0A9P8AAAASAPz/EAD0/wAAAAIA/P8QAPX/AAAAAgD8/xEA9f8AAAACAPz/EQD2/wAAAAEA/P8TAPT/AQAAAQD8/xMA9f8BAAAjAPz/EwD2/wEAACMA/P8TAPf/AQAA