2º ESO/FUERZAS/PALANCAS
Palanca de tercer orden
Tenemos unas pinzas como las de la figura en la que la distancia entre el punto de apoyo y el objeto es de #br cm y la del punto de apoyo al punto en el que ejerzo la fuerza es de #bp cm. Calcula la fuerza, en N, necesaria si queremos ejercer una fuerza sobre el objeto de de #r N
]]>
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
/9j/4AAQSkZJRgABAQEAYABgAAD/4RDaRXhpZgAATU0AKgAAAAgABAE7AAIAAAAFAAAISodpAAQAAAABAAAIUJydAAEAAAAKAAAQyOocAAcAAAgMAAAAPgAAAAAc6gAAAAgAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAGZpam8AAAAFkAMAAgAAABQAABCekAQAAgAAABQAABCykpEAAgAAAAMwMQAAkpIAAgAAAAMwMQAA6hwABwAACAwAAAiSAAAAABzqAAAACAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAAMjAxODowNDowNSAxOToxNzoyNgAyMDE4OjA0OjA1IDE5OjE3OjI2AAAAZgBpAGoAbwAAAP/hCxdodHRwOi8vbnMuYWRvYmUuY29tL3hhcC8xLjAvADw/eHBhY2tldCBiZWdpbj0n77u/JyBpZD0nVzVNME1wQ2VoaUh6cmVTek5UY3prYzlkJz8+DQo8eDp4bXBtZXRhIHhtbG5zOng9ImFkb2JlOm5zOm1ldGEvIj48cmRmOlJERiB4bWxuczpyZGY9Imh0dHA6Ly93d3cudzMub3JnLzE5OTkvMDIvMjItcmRmLXN5bnRheC1ucyMiPjxyZGY6RGVzY3JpcHRpb24gcmRmOmFib3V0PSJ1dWlkOmZhZjViZGQ1LWJhM2QtMTFkYS1hZDMxLWQzM2Q3NTE4MmYxYiIgeG1sbnM6ZGM9Imh0dHA6Ly9wdXJsLm9yZy9kYy9lbGVtZW50cy8xLjEvIi8+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczp4bXA9Imh0dHA6Ly9ucy5hZG9iZS5jb20veGFwLzEuMC8iPjx4bXA6Q3JlYXRlRGF0ZT4yMDE4LTA0LTA1VDE5OjE3OjI2LjAxNDwveG1wOkNyZWF0ZURhdGU+PC9yZGY6RGVzY3JpcHRpb24+PHJkZjpEZXNjcmlwdGlvbiByZGY6YWJvdXQ9InV1aWQ6ZmFmNWJkZDUtYmEzZC0xMWRhLWFkMzEtZDMzZDc1MTgyZjFiIiB4bWxuczpkYz0iaHR0cDovL3B1cmwub3JnL2RjL2VsZW1lbnRzLzEuMS8iPjxkYzpjcmVhdG9yPjxyZGY6U2VxIHhtbG5zOnJkZj0iaHR0cDovL3d3dy53My5vcmcvMTk5OS8wMi8yMi1yZGYtc3ludGF4LW5zIyI+PHJkZjpsaT5maWpvPC9yZGY6bGk+PC9yZGY6U2VxPg0KCQkJPC9kYzpjcmVhdG9yPjwvcmRmOkRlc2NyaXB0aW9uPjwvcmRmOlJERj48L3g6eG1wbWV0YT4NCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgCiAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAKICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgICAgIAogICAgICAgICAgICAgICAgICAgICAgICAgICAgPD94cGFja2V0IGVuZD0ndyc/Pv/bAEMABwUFBgUEBwYFBggHBwgKEQsKCQkKFQ8QDBEYFRoZGBUYFxseJyEbHSUdFxgiLiIlKCkrLCsaIC8zLyoyJyorKv/bAEMBBwgICgkKFAsLFCocGBwqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKioqKv/AABEIARsCewMBIgACEQEDEQH/xAAfAAABBQEBAQEBAQAAAAAAAAAAAQIDBAUGBwgJCgv/xAC1EAACAQMDAgQDBQUEBAAAAX0BAgMABBEFEiExQQYTUWEHInEUMoGRoQgjQrHBFVLR8CQzYnKCCQoWFxgZGiUmJygpKjQ1Njc4OTpDREVGR0hJSlNUVVZXWFlaY2RlZmdoaWpzdHV2d3h5eoOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4eLj5OXm5+jp6vHy8/T19vf4+fr/xAAfAQADAQEBAQEBAQEBAAAAAAAAAQIDBAUGBwgJCgv/xAC1EQACAQIEBAMEBwUEBAABAncAAQIDEQQFITEGEkFRB2FxEyIygQgUQpGhscEJIzNS8BVictEKFiQ04SXxFxgZGiYnKCkqNTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqCg4SFhoeIiYqSk5SVlpeYmZqio6Slpqeoqaqys7S1tre4ubrCw8TFxsfIycrS09TV1tfY2dri4+Tl5ufo6ery8/T19vf4+fr/2gAMAwEAAhEDEQA/APpGiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiuD+MPjjUvh94DOt6NBaz3P2qOHZdozJtbOeFZTnj1rrtDvZNS8P6dfTqqy3VrFM4QEKGZATjPbmgC9RRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHkH7Tn/JHz/wBhCH+TV6R4T/5EvRP+wfB/6LWvN/2nP+SPn/sIQ/yavSPCf/Il6J/2D4P/AEWtAGvRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVHNcQ24BnljiB4BdgM/nQBJRTIpop03wSJIucbkYEfpT6ACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPIP2nP8Akj5/7CEP8mr0jwn/AMiXon/YPg/9FrXm/wC05/yR8/8AYQh/k1ekeE/+RL0T/sHwf+i1oA16KKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoopHdY42eRgiKCWZjgAepoAWuN1Xx6GmktPC1suozISj3kjbbWIjqNw5kI9E4yCCymsrWdcl8W5ht2kg0L2JR74epxyIj6dW7/AC8NHHGkUaxxIqIgCqqjAUDsBQBVuodU1Zt+va5e3Gf+Xezka0gX2Cxncw/32aqieEvDsbFhoenF2+9I9qjO31YjJ/GteigDHbwl4eMglXRbGKUfdmhgWORfo6gEfgavWp1rRzu0PXLnYP8Al11JmvIm/Fm8xfwfA9DVqigDf0TxxDd3UWn65bHS7+Q7Y8tvguG9I5MDk/3WCt1wCBmuqrzG5toby3e3uokmhkGHjdchh7itDQfEk2gSx2OszvPpjsEgvZWLPbE8BJWPLJ2DnkdGyPmoA76iiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooA8g/ac/5I+f+whD/ACavSPCf/Il6J/2D4P8A0Wteb/tOf8kfP/YQh/k1ekeE/wDkS9E/7B8H/otaANeiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8/8Vaudf1SXRbV/wDiV2jbb5h0uZevk5/uL1f1JC9nB3/GWuy6Lo6xaey/2nfv9nswRkIxBLSEeiKC3uQB3FchY2cWn2MVrBu2RLgFjlmPdie5JySe5JoAnooooAKKKKACiiigApskaSxtHKiujgqysMhgeoIp1FAGl4N1qSyvV8O6jKzoVLabPI2S6AfNCxPVlHIPUr6lWJ7evLNQs2vbTZFKYLiNhLbzqMmGVTlWH0PbuMjoa7zwvro8Q6FFdtGIblGMN3ADnyZl4Zfcdwe6kHvQBr0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAeQftOf8kfP/YQh/k1ekeE/wDkS9E/7B8H/ota8D/aZ8d3iq/gm60PyYXeK9t9SF1uEyAEEeXsGCGyPvHpnvXovwR+IN5478MsraD/AGdZaVFFZpdG7837RIqDIC7FxgYJ5P3hQB6dRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVjeLtYfQfCWoajbhWuY4tlsrdGmchIlP1dlH40AcVf3v9veML3UM5ttPL6fZ+5DDz3/F1Cf8AbIHvUtVdNsU03TLezjZnWGMJvbq57sfcnJPuatUAFFFFABRRRQAUUUUAFFFFABTvDl7/AGL42WJji01weW3otzGhKn/gUasp940Hem1Q1q2nudKkNiQt7AVuLVj/AAzRkOn4blAPqCRQB6xRVPR9Th1rQ7HVLXPk3tuk8YPUBlDAH35q5QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRSMwRSzkKoGSScACuK8Q/GHwH4Z3LqHiO0lmXrBaE3D59CEzg/XFAGF8e/h1N478FRzaTb+drGmSeZbKvWVGwHT+TfVfeuy8CeE7bwR4J07QbXa32WIedIB/rZTy7fixOPQYHavG9c/artDKbfwj4aubyRjtSS9kCZPtGm4n/voVjjVP2gPiHzZ20+hWUndIxZKoPcM/70j6E0AfR+q63pWhW32jWtStNPh/56XU6xg/ixGa5PSPjJ4K1/xdbeHNE1Rr29ud+xo4WEWVUsRuYDPAOMZryrSv2W7/Urn7b458WPNO5zItorSu3/AG1k/wDiTXqXhL4LeCPBt5De6XpbTX8Byl5dTNJIp9QOFB+gFAHe0UUUAFFFFABRRRQAUUUUAFFFFABRRRQAVw3xDuPtGqaBpAPyvNJfyj+8kKhVB/7aSxt/wGu5rzXXZftfxK1Fs5SxsLe2Uf3XZpJH/MGL8qAFooooAKKKKACiiigAooooAKKKKACiiigDX+Gtxs0fUNJbrpmoSxoP+mcmJk/AeaVH+5XZV554Pl+y/ES+t+g1DTElA9WhkKsfynQfgK9DoAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiimTTxW0LzXEqRRIMs8jBVUepJ6UAPorz7xB8cvh/wCHQ6za/DfTL/yx08Gck+m5flH4sK8z1f8Aamur64+yeCPCkk878RveMXZv+2UfP/j1AH0bWVrfinQfDcXma/rFjpwxkC5nVGb6AnJ/Cvnf7H+0D8Q/9fLcaBZSdmYWKqD2IX96R9c1raJ+yrDLL9p8Y+Jri6lc5kjsk25P/XR8k/8AfIoA6PxB+054J0rfHpCX2tSjoYYvKjJ92fB/JTXDv8cvil44YxeAvC32WJjgTQ2zXLJ9ZGAjH4rXsfh74M+AvDQVrHw7azzLz596PtD59fnyAfoBXcIixxqkahEUYVVGAB6UAfMi/BP4r+OmEnjvxP8AZIGOWgnuWnK/SJD5Y/BhXa+Hv2YfBel7ZNamvtalHVZJPJiP/AU+b82Nez0UAY+heEvD/hmLZ4f0Wx0/jBa3gVWb6t1P4mtiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8qgk+0+IvEl3187VXTPtFHHDj/AMhmvVa8j0E77S8lPWXVL6Qn63UpoA06KKKACiiigAooooAKKKKACiiigAooooAisJPs/wAQ/Dso4883NoT6hoTLj/yAD+FenV5VM3l+JPDUo4KaqoB9N0UqfyYivVaACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAoqC9v7TTbVrnUbqC0gX70s8gRR9SeK868Q/tA/D7QNyLqzarMv/LLTYzLn/gZwn/j1AHplFfNmoftN+INcumsvAXhAyTHhWmD3Mh9/LjAwfxNVT4V+PfxCH/E61OXRrKXqktwLVdvoY4huP0YUAe/6/wCOfC/hZWOv67Y2LKM+VJMDIfogyx/AV5d4h/al8J6duTQLC+1mQdHI+zxH8Wy3/jtZ+gfsp6PAyzeJ9fu79+rRWiCFc+hY7if0r1Hw/wDCvwR4X2tpHhyySVek8yedID6h3yR+GKAPEP8AhbHxl8f/AC+CvDxsLWThJ7e13DB9Zpfk/EAU+H9n34heMZlufiB4t8oE58t5nu5E9guQi/gTX01RQB5H4f8A2a/Aej7H1GG71mZeSbuYqmfZE28exJr0zSNA0jQLfyND0uz0+LGCtrAsYP1wOa0KKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8h8OZ/shs/e+13W76/aJM/rXr1eR6GPLt76E8GHVL+PHpi6lx+mKANOiiigAooooAKKKKACiiigAooooAKKKKAKN9n+1tA2/e/te3x+Zz+ma9XryuVfM8T+GYR1k1UED/dglc/ohr1SgAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqlqms6Zolr9p1nULWwg/wCel1Msa/mxFAF2ivKPEP7R3gHRNyWd3cazOONljCdoP+++0Y9xmvPrr9ovxt4ruWs/h94RwxON3lvdyD3+UBV/EEUAfTFcv4h+Jfg3wtuXW/EVjBKn3oEk82Uf8ATLfpXhX/Ct/jd8Qfm8Wa6+mWkn3oZ7rYpH/XGH5c+zYrqPD/7K/hmx2yeItVvtVkHWOIC3iPsQMt+TCgCLxB+1XoFpuj8NaLe6lIOBJcsIIz7j7zH6ECucPjr46/EL5fDmjSaRaSdJYLYQKV9fNmPP1UivevD/AMPfCXhbYdB8P2NpIn3ZhEHlH/bRst+tdHQB81Wf7NnizxJdLe/EDxfuk6lUd7uTHpucgL+GRXonh/8AZ3+H+hbXn06bV5l/5aahMWH/AHwu1fzBr1GigCrp+mWGk2ottKsbaygXpFbQrGo/BQBVqiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvKoY/s3ibxLadPK1RnA9pIo5c/m5/EGvVa828QQ/Y/iVecYTUNPhnT3eN3R//HWioAKKKKACiiigAooooAKKKKACiiigAooooAi06P7R8RvD8Q5MCXV2R6BYxFn85x+denV574Mh+1eP9SusZWw0+K3Vv9qV2dh+AijP4ivQqACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiszWfEuh+HYfN17V7LTkxkfaZ1Qt9ATk/hXmPiD9pnwPpO+PSvtutSjgG3h8uPPuz4P4gGgD2GkJCqSxAAGST2r5lk+PHxM8bStB4A8K/Z42OBLFbtdMn1cgRj8VpB8Gvi548YP468S/Y7duWgnujLt+kUf7v9RQB7T4h+LvgXwxuTU/Edm0y9YLVjPID6EJnB+uK8v179qywWQweE/DtzeyMdqS3sgjBPsi7i35g1s+Hv2XvB2mFZNcur7WpR1R38iI/8BT5v/Hq9Q0Hwd4c8MRhfD+iWOnnGC8MCh2+r/eP4mgD58/tz4//ABD/AOQdZz6HZSfxRxCzUD1DyHzD/wABJq7pn7L2q6rdC98deLWmmb/WLbBpnb/trJ/8Sa+kKKAPOfD3wF+H3h4o66IuozL/AMtdRcz5+qH5P/Ha9BtrW3srdYLOCK3hT7scSBVX6AcVLRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVw/xFt/IutC1gD5be6azmb0jnAA/OVIR+NdxWV4n0f8A4SDwvqGlq4jkuISIZD/yzlHKP+DBT+FAHF0VU0q+/tHS4LpozE8i/vIj1jccOh91YEH6VboAKKKKACiiigAooooAKKKKACiis/W5bhdNaCwOL28dbW19pZDtVvoudx9lNAHU/DW3J8P3eqt11a+luUz/AM81xFGfoUiVv+BV2FVtN0+DSdJtNOs1229pAkES+iqoUfoKs0AFFFFABRRRQAUUUUAFFFFABRRRQAUUVh69408NeF1J8Qa5Y2DAZ8uWYeYfog+Y/gKANyivE/EP7UfhDTS0ehWV9rMg6OF+zxH/AIE3zf8Ajtcd/wALf+MPj4lfBHhw2Vq/Cz29qZMfWaX5P0FAH01LLHBE0s8ixxoMs7tgKPUk1wniD43fD/w5uW58QQXky/8ALGwBuGJ9Mr8oP1IryOL4BfEfxnKtx4/8WeSjHPlSTvdun0QEIPwau78Pfs0eBdI2yamt5rUw5P2qbZHn2VMcexJoA5PWP2qJbu4+yeCvCstxM5xG96xLMf8ArlHkn/vqs3y/2gfiIfma40Cyk9SLFVz9P3xH519F6P4d0Xw9b+ToWlWenR4wRawLHu+uBz+NaVAHztov7K32iY3XjTxRNczOcyJZJyT/ANdZMk/9816d4e+CvgHw3ta08PW9zMvPnX2bhifXD5UH6AV3dFADY40hjWOJFRFGFVRgAegFOoooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKAPNNWsf7C8Z3VsBi01bdfWx7LLwJk/MrJ773/u06ut8XaC+vaGY7UqmoWri4spG4CyqDgH/AGWBZG/2WPeuJsLxb+zSdUaJslZInGGicHDIw7FWBB9xQBZooooAKKKKACiiigAooooAKl8LWP8AbPjNrxhm00RSqns11IvP/fETf+Rvas/ULmW3hSOyiE97cyCC0hJ/1krdM+igAsx7KrHtXoPh3RIvD2hwafE5lZMvNMww00rHc7n6sScdug4FAGnRRRQAUUUUAFFFFABRXM+IPiN4P8LbxrviGxtpE+9AJfMlH/bNct+leXeIP2qvDlkGj8OaPe6pIOBJOwt4z7j7zH8QKAPd6hu7y2sLZri+uIbaFfvSzOEUfUnivmWX4jfG7x1C7+HdHbR7DaWNxFbCJNmMkmaY44HOVxWd4I+Dmt/FzS4/EfiHxs09u0rxkM0lzMpU4KneQE4wRjPBH0oA9o8QfH34e6BuT+2f7TmX/llpsZmz9H4T/wAerzbUf2n9b1i6Nl4E8ItLM3CNPvuJG/7ZR4wf+BGu+8Pfs6eANDCvdWM+sTrz5l/MSuf9xdq4+oNek6bpOnaNai20iwtbG3HSK2hWNfyUAUAfNv8Awjnx++IX/IV1CbRLKT+GWYWi49CkQ3n/AIEK3NA/ZT0uJhN4q8Q3V9ITuaKzjES59Czbi31wtfQNFAHHeHvhP4H8L7W0rw5Z+cvInuF8+QH1DPkj8MV2IAAAAwB0FFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcL4v0Z9KvpfENgha1lUf2lCgyVwMC4A9hw/qoB/hOe6ooA81VldA6MGVhkEHIIpata34an8Pu95olvJc6WxLS2US7ntT3aJerJ6oOR/DkfKKFtcwXlslxaSpNDIMo6HIIoAlooooAKKKKACo7i4itLeSe5kWKKNSzuxwFA70y7vILGDzrp9i7gqgAszseAqqOWYngAZJ7VteHvC9xf3EWq+IYDDHEwktNOfBKsDkSy4OCw6qvRepy2NoBN4O0Cb7Qdf1eFormVNlnbSDDW0J5JYdpH4J9AAvXdnsKCcDJrj/ABD8WPA3hjcuq+I7MTLwYLdvPkB9CqZI/HFAHYUV8/a/+1ZpcTGHwr4fur6Qnast5IIlz7Ku4t9MisP/AISP4+/EIY0rT5tEspP4ooBaLj1Dynef+AmgD6S1LVtO0a1Nzq9/a2NuOstzMsa/mxArzbxD+0X4A0PclrfT6xMv8FhCSM/77bVx9Ca4HTv2Ydb1i6F7488XNLM3LrBvuJG9vMkxj/vk16T4f+APw90Da/8AY39pzL/y11KTzs/VOE/8doA8xu/2kPGPie5az+H/AIQy543GN7uQe+EAC/jkVD/wr745fEEbvE+tvpVpJ96Ge6ESlf8ArjCMfg2K+l7SztbC2W3sbaG2gT7sUMYRV+gHFTUAeEeH/wBlXw5ZBJPEesXuqSDkxwKLeM+x+8x/AivUfD/w58H+Fth0Lw9Y20qfdnMXmSj/ALaNlv1rpqKAPIf2jvG3/CM/Dw6RaSFb7XCYBt6rCMeYfxBC47hj6V5b+zD42/sjxdceF7yQi11Zd9vk8JOgJ/DcuR7lVFcR8ZPG3/CdfEi+vreUvp9sfstl6eWn8Q/3m3N+IHauL0++uNM1K2v7KVorm1lWaKReqspyCPxFAH6N0VheC/E9v4y8Gabr1qAq3kIZ0Bz5cg4dfwYEVu0AFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRWLqV14oivnXSNH0i6tQBtlutWlgcnHOUW3cDn/aP4VV+3eN/+he8P/wDg+n/+Q6AOkorm/t3jf/oXvD//AIPp/wD5Do+3eN/+he8P/wDg+n/+Q6AOkorm/t3jf/oXvD//AIPp/wD5Do+3eN/+he8P/wDg+n/+Q6AOkorm/t3jf/oXvD//AIPp/wD5Do+3eN/+he8P/wDg+n/+Q6AOkrl9a8DWl/dS3+kXDaTqMh3SSxLuinPrLFkBj/tAq3T5scVJ9u8b/wDQveH/APwfT/8AyHR9u8b/APQveH//AAfT/wDyHQByl1ZeJdJYrqOhvexj/l50pxKpHvGxVwfZQ496oP4l06D/AI+/tdmR1F3YzQkfXegxXdfbvG//AEL3h/8A8H0//wAh0177x0Y2Efh/w8r4O0trs5APuPsgzQBw6eIrKfizjvrxj0W10+eUn/vlCB+NF9fX1rCJdSFj4ZtSMi6166RCR6pCjFmPsxQ1wlwv7Qfju6lgPnaFaB2QtGRZIOcZB/1rD35qlbfsxeLp9Sa58Q6jpuohzlzFqk0cjfV2tn/lQB0r/GT4beD7g3dpPqHizWVBUXnk7Ejz1Cbtqxr2yikkdS3Wsab4+/EfxpK1v8P/AAn5Kk482OB7t0+rkBF/Fa7fw/8AB+38ObHtvh74YvJl586/1+e4Yn1w1ntB+gFd5Fc+M4Ilig8NeHY40GFRNdmAUegAs6APCf8AhUPxh8fEN448RmxtX5aCe68zH0hi+T9RXYeHv2XPCGm7X169vtakH3k3fZ4m/wCAr83/AI/XpP27xv8A9C94f/8AB9P/APIdH27xv/0L3h//AMH0/wD8h0AWNB8FeGvC6AeH9DsbBgMeZFCPMP1c/MfxNblc39u8b/8AQveH/wDwfT//ACHR9u8b/wDQveH/APwfT/8AyHQB0lFc39u8b/8AQveH/wDwfT//ACHR9u8b/wDQveH/APwfT/8AyHQB0lFc39u8b/8AQveH/wDwfT//ACHR9u8b/wDQveH/APwfT/8AyHQB0leZfHrxv/wh3w1uYrWXZqOrZtLbaeVUj94/4LxkdCy11P27xv8A9C94f/8AB9P/APIdeL/Fr4Y/Ez4k+KIrx7HTLaztIRFbwRakZEGeWbLIhyT/ALI6D0oA+aOtFet/8M0fEP8A59tP/wDAwf4Uf8M0fEP/AJ9tP/8AAwf4UAdX+y142+zalfeDr2QCO6Bu7LJ/5aKBvQfVQG/4AfWvp2vkfQfgH8TvDniCx1jToNPW5sp1mjzeDBKnOD6g9CPSvpNb/wAcFQT4c0BSR0OvTcf+SdAHS0Vzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h0fbvG//AEL3h/8A8H0//wAh0AdJRXN/bvG//QveH/8AwfT/APyHR9u8b/8AQveH/wDwfT//ACHQB0lFc39u8b/9C94f/wDB9P8A/IdH27xv/wBC94f/APB9P/8AIdAHSUVzf27xv/0L3h//AMH0/wD8h1saXLqc1mW1q0tLS53ECO0umuE29juaOM568bfxoAuUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAH//2Q==
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
1.0000000
0.3333333
0
0
#p
<question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>br</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>12</mn><mo>,</mo><mn>16</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>bp</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>r</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi><mo>=</mo><mi>r</mi><mo>*</mo><mi>br</mi><mo>/</mo><mi>bp</mi></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer>#p</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">0.03</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="times_operator">·</option><option name="implicit_times_operator">false</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>