Python TypeError: объект `float` нельзя интерпретировать как целочисленное решение

Michael Zippo 27.11.2021

–í Python –µ—Å—Ç—å –¥–≤–∞ —Ç–∏–ø–∞ –¥–∞–Ω–Ω—ã—Ö, –∫–æ—Ç–æ—Ä—ã–µ –ø—Ä–µ–¥—Å—Ç–∞–≤–ª—è—é—Ç —á–∏—Å–ª–∞: —á–∏—Å–ª–∞ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π –∏ —Ü–µ–ª—ã–µ —á–∏—Å–ª–∞. –≠—Ç–∏ —Ç–∏–ø—ã –¥–∞–Ω–Ω—ã—Ö –∏–º–µ—é—Ç —Ä–∞–∑–Ω—ã–µ —Å–≤–æ–π—Å—Ç–≤–∞.

–ï—Å–ª–∏ –≤—ã –ø–æ–ø—ã—Ç–∞–µ—Ç–µ—Å—å –∏—Å–ø–æ–ª—å–∑–æ–≤–∞—Ç—å —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π —Å —Ñ—É–Ω–∫—Ü–∏–µ–π, –∫–æ—Ç–æ—Ä–∞—è –ø–æ–¥–¥–µ—Ä–∂–∏–≤–∞–µ—Ç —Ç–æ–ª—å–∫–æ —Ü–µ–ª—ã–µ —á–∏—Å–ª–∞, –Ω–∞–ø—Ä–∏–º–µ—Ä —Å —Ñ—É–Ω–∫—Ü–∏–µ–π range (), –≤—ã —Å—Ç–æ–ª–∫–Ω–µ—Ç–µ—Å—å —Å –æ—à–∏–±–∫–∞ " TypeError: " float " –æ–±—ä–µ–∫—Ç –Ω–µ–ª—å–∑—è –∏–Ω—Ç–µ—Ä–ø—Ä–µ—Ç–∏—Ä–æ–≤–∞—Ç—å –∫–∞–∫ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ " –æ—à–∏–±–∫–∞.

–í —ç—Ç–æ–º —Ä—É–∫–æ–≤–æ–¥—Å—Ç–≤–µ –º—ã –æ–±—ä—è—Å–Ω—è–µ–º, —á—Ç–æ –æ–∑–Ω–∞—á–∞–µ—Ç —ç—Ç–æ —Å–æ–æ–±—â–µ–Ω–∏–µ –æ–± –æ—à–∏–±–∫–µ –∏ —á—Ç–æ –µ–µ –≤—ã–∑—ã–≤–∞–µ—Ç. –ú—ã —Ä–∞—Å—Å–º–æ—Ç—Ä–∏–º –ø—Ä–∏–º–µ—Ä —ç—Ç–æ–π –æ—à–∏–±–∫–∏, —á—Ç–æ–±—ã –≤—ã –º–æ–≥–ª–∏ –ø–æ–Ω—è—Ç—å, –∫–∞–∫ –∏—Å–ø—Ä–∞–≤–∏—Ç—å –µ–µ –≤ —Å–≤–æ–µ–π –ø—Ä–æ–≥—Ä–∞–º–º–µ.

TypeError: " float " –æ–±—ä–µ–∫—Ç –Ω–µ –º–æ–∂–µ—Ç –±—ã—Ç—å –∏–Ω—Ç–µ—Ä–ø—Ä–µ—Ç–∏—Ä–æ–≤–∞–Ω –∫–∞–∫ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ

–ß–∏—Å–ª–∞ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π - —ç—Ç–æ –∑–Ω–∞—á–µ–Ω–∏—è, –∫–æ—Ç–æ—Ä—ã–µ –º–æ–≥—É—Ç —Å–æ–¥–µ—Ä–∂–∞—Ç—å –¥–µ—Å—è—Ç–∏—á–Ω—É—é —Ç–æ—á–∫—É. –¶–µ–ª—ã–µ —á–∏—Å–ª–∞ - —ç—Ç–æ —Ü–µ–ª—ã–µ —á–∏—Å–ª–∞. –í –ø—Ä–æ–≥—Ä–∞–º–º–∏—Ä–æ–≤–∞–Ω–∏–∏ —ç—Ç–∏ –¥–≤–∞ —Ç–∏–ø–∞ –¥–∞–Ω–Ω—ã—Ö –æ–±—ã—á–Ω–æ —Ä–∞–∑–ª–∏—á–∞—é—Ç—Å—è.

–í –ø—Ä–æ–≥—Ä–∞–º–º–∏—Ä–æ–≤–∞–Ω–∏–∏ –Ω–∞ Python –Ω–µ–∫–æ—Ç–æ—Ä—ã–µ —Ñ—É–Ω–∫—Ü–∏–∏, —Ç–∞–∫–∏–µ –∫–∞–∫ range () –º–æ–∂–µ—Ç –∏–Ω—Ç–µ—Ä–ø—Ä–µ—Ç–∏—Ä–æ–≤–∞—Ç—å —Ç–æ–ª—å–∫–æ —Ü–µ–ª–æ—á–∏—Å–ª–µ–Ω–Ω—ã–µ –∑–Ω–∞—á–µ–Ω–∏—è. –≠—Ç–æ —Å–≤—è–∑–∞–Ω–æ —Å —Ç–µ–º, —á—Ç–æ –æ–Ω–∏ –Ω–µ –æ–±—É—á–µ–Ω—ã –∞–≤—Ç–æ–º–∞—Ç–∏—á–µ—Å–∫–∏ –ø—Ä–µ–æ–±—Ä–∞–∑–æ–≤—ã–≤–∞—Ç—å –∑–Ω–∞—á–µ–Ω–∏—è —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π –≤ —Ü–µ–ª—ã–µ —á–∏—Å–ª–∞.

–≠—Ç–∞ –æ—à–∏–±–∫–∞ –æ–±—ã—á–Ω–æ –≤–æ–∑–Ω–∏–∫–∞–µ—Ç, –∫–æ–≥–¥–∞ –≤—ã –∏—Å–ø–æ–ª—å–∑—É–µ—Ç–µ range () —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π. number –¥–ª—è —Å–æ–∑–¥–∞–Ω–∏—è —Å–ø–∏—Å–∫–∞ —á–∏—Å–µ–ª –≤ –∑–∞–¥–∞–Ω–Ω–æ–º –¥–∏–∞–ø–∞–∑–æ–Ω–µ.

Python –Ω–µ –º–æ–∂–µ—Ç –æ–±—Ä–∞–±–æ—Ç–∞—Ç—å —ç—Ç–æ, –ø–æ—Ç–æ–º—É —á—Ç–æ Python –Ω–µ –º–æ–∂–µ—Ç —Å–æ–∑–¥–∞—Ç—å —Å–ø–∏—Å–æ–∫ —á–∏—Å–µ–ª –º–µ–∂–¥—É —Ü–µ–ª—ã–º —á–∏—Å–ª–æ–º –∏ –¥–µ—Å—è—Ç–∏—á–Ω—ã–º —á–∏—Å–ª–æ–º. –ò–Ω—Ç–µ—Ä–ø—Ä–µ—Ç–∞—Ç–æ—Ä Python –Ω–µ –∑–Ω–∞–ª –±—ã, –∫–∞–∫ —É–≤–µ–ª–∏—á–∏–≤–∞—Ç—å –∫–∞–∂–¥–æ–µ —á–∏—Å–ª–æ –≤ —Å–ø–∏—Å–∫–µ, –µ—Å–ª–∏ –±—ã —Ç–∞–∫–æ–µ –ø–æ–≤–µ–¥–µ–Ω–∏–µ –±—ã–ª–æ —Ä–∞–∑—Ä–µ—à–µ–Ω–æ.

–ü—Ä–∏–º–µ—Ä —Å—Ü–µ–Ω–∞—Ä–∏—è

–ú—ã —Å–æ–±–∏—Ä–∞–µ–º—Å—è —Å–æ–∑–¥–∞—Ç—å –ø—Ä–æ–≥—Ä–∞–º–º—É, –∫–æ—Ç–æ—Ä–∞—è –≤—ã—á–∏—Å–ª—è–µ—Ç –æ–±—â–∏–π –æ–±—ä–µ–º –ø—Ä–æ–¥–∞–∂. —Å—ã—Ä–æ–≤ –≤ —Å—ã—Ä–æ–≤–∞—Ä–Ω–µ –∑–∞ –ø–æ—Å–ª–µ–¥–Ω–∏–µ —Ç—Ä–∏ –º–µ—Å—è—Ü–∞. –ú—ã —Å–ø—Ä–æ—Å–∏–º –ø–æ–ª—å–∑–æ–≤–∞—Ç–µ–ª—è, –¥–ª—è —Å–∫–æ–ª—å–∫–∏—Ö —Å—ã—Ä–æ–≤ –æ–Ω —Ö–æ—á–µ—Ç —Ä–∞—Å—Å—á–∏—Ç–∞—Ç—å –æ–±—â–∏–π –æ–±—ä–µ–º –ø—Ä–æ–¥–∞–∂. –ó–∞—Ç–µ–º –º—ã –≤—ã–ø–æ–ª–Ω–∏–º —Ä–∞—Å—á–µ—Ç.

81% —É—á–∞—Å—Ç–Ω–∏–∫–æ–≤ –∑–∞—è–≤–∏–ª–∏, —á—Ç–æ –æ–Ω–∏ –ø–æ—á—É–≤—Å—Ç–≤–æ–≤–∞–ª–∏ —Å–µ–±—è –±–æ–ª–µ–µ —É–≤–µ—Ä–µ–Ω–Ω—ã–º–∏ –≤ —Å–≤–æ–∏—Ö –ø–µ—Ä—Å–ø–µ–∫—Ç–∏–≤–∞—Ö —Ç—Ä—É–¥–æ—É—Å—Ç—Ä–æ–π—Å—Ç–≤–∞ –≤ —Å—Ñ–µ—Ä–µ –≤—ã—Å–æ–∫–∏—Ö —Ç–µ—Ö–Ω–æ–ª–æ–≥–∏–π –ø–æ—Å–ª–µ –ø–æ—Å–µ—â–µ–Ω–∏—è —É—á–µ–±–Ω–æ–≥–æ –∫—É—Ä—Å–∞. –ù–∞–π–¥–∏—Ç–µ –ø–æ–¥—Ö–æ–¥ –∫ —É—á–µ–±–Ω–æ–º—É –ª–∞–≥–µ—Ä—é —Å–µ–≥–æ–¥–Ω—è.

–°—Ä–µ–¥–Ω–∏–π –≤—ã–ø—É—Å–∫–Ω–∏–∫ —É—á–µ–±–Ω–æ–≥–æ –ª–∞–≥–µ—Ä—è –ø–æ—Ç—Ä–∞—Ç–∏–ª –º–µ–Ω–µ–µ —à–µ—Å—Ç–∏ –º–µ—Å—è—Ü–µ–≤ –Ω–∞ –ø–µ—Ä–µ—Ö–æ–¥–Ω—É—é –∫–∞—Ä—å–µ—Ä—É, –æ—Ç –Ω–∞—á–∞–ª–∞ —É—á–µ–±–Ω–æ–≥–æ –ª–∞–≥–µ—Ä—è –¥–æ –ø–æ–∏—Å–∫–∞ —Å–≤–æ–µ–π –ø–µ—Ä–≤–æ–π —Ä–∞–±–æ—Ç—ã.

–ù–∞—á–Ω–∏—Ç–µ —Å –æ–ø—Ä–µ–¥–µ–ª–µ–Ω–∏—è —Å–ø–∏—Å–æ–∫ —Å–ª–æ–≤–∞—Ä–µ–π —Å –∏–Ω—Ñ–æ—Ä–º–∞—Ü–∏–µ–π –æ –ø—Ä–æ–¥–∞–∂–∞—Ö —Å—ã—Ä–∞:

–ó–∞—Ç–µ–º –º—ã —Å–ø—Ä–∞—à–∏–≤–∞–µ–º –ø–æ–ª—å–∑–æ–≤–∞—Ç–µ–ª—è, —Å–∫–æ–ª—å–∫–æ –æ–±—â–∏—Ö –ø–æ–∫–∞–∑–∞—Ç–µ–ª–µ–π –ø—Ä–æ–¥–∞–∂ –æ–Ω–∏ —Ö–æ—Ç—è—Ç –≤—ã—á–∏—Å–ª–∏—Ç—å:

–ú—ã –ø—Ä–µ–æ–±—Ä–∞–∑—É–µ–º –∑–Ω–∞—á–µ–Ω–∏–µ, –∫–æ—Ç–æ—Ä–æ–µ –ø–æ–ª—å–∑–æ–≤–∞—Ç–µ–ª—å –≤—Å—Ç–∞–≤–ª—è–µ—Ç, –≤ —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π. –≠—Ç–æ —Å–≤—è–∑–∞–Ω–æ —Å —Ç–µ–º, —á—Ç–æ –º–µ—Ç–æ–¥ input () –≤–æ–∑–≤—Ä–∞—â–∞–µ—Ç —Å—Ç—Ä–æ–∫—É, –∏ –º—ã –Ω–µ –º–æ–∂–µ–º –∏—Å–ø–æ–ª—å–∑–æ–≤–∞—Ç—å —Å—Ç—Ä–æ–∫—É –≤ –∏–Ω—Å—Ç—Ä—É–∫—Ü–∏–∏ range ().

–ó–∞—Ç–µ–º –º—ã –ø–µ—Ä–µ–±–∏—Ä–∞–µ–º –ø–µ—Ä–≤—ã–µ —Å—ã—Ä—ã –≤ –Ω–∞—à–µ–º —Å–ø–∏—Å–∫–µ –≤ –∑–∞–≤–∏—Å–∏–º–æ—Å—Ç–∏ –æ—Ç —Ç–æ–≥–æ, —Å–∫–æ–ª—å–∫–æ —Ü–∏—Ñ—Ä —Ö–æ—á–µ—Ç –≤—ã—á–∏—Å–ª–∏—Ç—å –ø—Ä–æ–¥–∞–≤–µ—Ü —Å—ã—Ä–∞. –ú—ã –¥–µ–ª–∞–µ–º —ç—Ç–æ —Å –ø–æ–º–æ—â—å—é —Ü–∏–∫–ª for –∏ –æ–ø–µ—Ä–∞—Ç–æ—Ä range ():

–í –Ω–∞—à–µ–º –∫–æ–¥–µ –∏—Å–ø–æ–ª—å–∑—É–µ—Ç—Å—è –º–µ—Ç–æ–¥ sum () –¥–ª—è –≤—ã—á–∏—Å–ª–µ–Ω–∏—è –æ–±—â–µ–≥–æ –∫–æ–ª–∏—á–µ—Å—Ç–≤–∞ —Å—ã—Ä–æ–≤. –ø—Ä–æ–¥–∞–Ω–æ –≤ —Å–ø–∏—Å–∫–∞—Ö " –ø—Ä–æ–¥–∞–∂ " –≤ –Ω–∞—à–∏—Ö —Å–ª–æ–≤–∞—Ä—è—Ö.

–†–∞—Å–ø–µ—á–∞—Ç–∞–π—Ç–µ, —Å–∫–æ–ª—å–∫–æ —Ä–∞–∑ –∫–∞–∂–¥—ã–π —Å—ã—Ä –±—ã–ª –ø—Ä–æ–¥–∞–Ω –Ω–∞ –∫–æ–Ω—Å–æ–ª—å. –ù–∞—à —Ü–∏–∫–ª –∑–∞–ø—É—Å–∫–∞–µ—Ç—Å—è —Å—Ç–æ–ª—å–∫–æ —Ä–∞–∑, —Å–∫–æ–ª—å–∫–æ –ø—Ä–æ–¥–∞–∂ —Ä–∞—Å—Å—á–∏—Ç—ã–≤–∞–µ—Ç –ø—Ä–æ–¥–∞–≤–µ—Ü —Å—ã—Ä–∞ —É–∫–∞–∑–∞–ª, —á—Ç–æ –æ–Ω–∏ —Ö–æ—Ç—è—Ç –≤—ã—á–∏—Å–ª–∏—Ç—å.

–ó–∞–ø—É—Å—Ç–∏—Ç–µ –Ω–∞—à –∫–æ–¥ –∏ –ø–æ—Å–º–æ—Ç—Ä–∏—Ç–µ, —á—Ç–æ –∫–æ–≥–¥–∞ –ø—Ä–æ–∏—Å—Ö–æ–¥–∏—Ç:

–ù–∞—à –∫–æ–¥ —Å–ø—Ä–∞—à–∏–≤–∞–µ—Ç –Ω–∞—Å, —Å–∫–æ–ª—å–∫–æ —Ü–∏—Ñ—Ä –º—ã —Ö–æ—Ç–∏–º –≤—ã—á–∏—Å–ª–∏—Ç—å. –ü–æ—Å–ª–µ –æ—Ç–ø—Ä–∞–≤–∫–∏ —á–∏—Å–ª–∞ –Ω–∞—à –∫–æ–¥ –ø–µ—Ä–µ—Å—Ç–∞–µ—Ç —Ä–∞–±–æ—Ç–∞—Ç—å.

–†–µ—à–µ–Ω–∏–µ

–ü—Ä–æ–±–ª–µ–º–∞ –≤ –Ω–∞—à–µ–º –∫–æ–¥–µ –∑–∞–∫–ª—é—á–∞–µ—Ç—Å—è –≤ —Ç–æ–º, —á—Ç–æ –º—ã –ø—ã—Ç–∞–µ–º—Å—è —Å–æ–∑–¥–∞—Ç—å –¥–∏–∞–ø–∞–∑–æ–Ω, –∏—Å–ø–æ–ª—å–∑—É—è —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π. –í –Ω–∞—à–µ–º –∫–æ–¥–µ –º—ã –ø—Ä–µ–æ–±—Ä–∞–∑—É–µ–º " total_sales " –Ω–∞ –ø–æ–ø–ª–∞–≤–æ–∫. –≠—Ç–æ –ø–æ—Ç–æ–º—É, —á—Ç–æ –Ω–∞–º –Ω—É–∂–Ω–æ —á–∏—Å–ª–æ –¥–ª—è —Å–æ–∑–¥–∞–Ω–∏—è –¥–∏–∞–ø–∞–∑–æ–Ω–∞ —Å –ø–æ–º–æ—â—å—é –æ–ø–µ—Ä–∞—Ç–æ—Ä–∞ range ().

–û–ø–µ—Ä–∞—Ç–æ—Ä range () –ø—Ä–∏–Ω–∏–º–∞–µ—Ç —Ç–æ–ª—å–∫–æ —Ü–µ–ª—ã–µ —á–∏—Å–ª–∞ . –≠—Ç–æ –æ–∑–Ω–∞—á–∞–µ—Ç, —á—Ç–æ –º—ã –Ω–µ –¥–æ–ª–∂–Ω—ã –ø—Ä–µ–æ–±—Ä–∞–∑–æ–≤—ã–≤–∞—Ç—å total_sales –≤ —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π. –í–º–µ—Å—Ç–æ —ç—Ç–æ–≥–æ –Ω–∞–º —Å–ª–µ–¥—É–µ—Ç –ø—Ä–µ–æ–±—Ä–∞–∑–æ–≤–∞—Ç—å total_sales –≤ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ.

–ß—Ç–æ–±—ã —Ä–µ—à–∏—Ç—å —ç—Ç—É –ø—Ä–æ–±–ª–µ–º—É, –∏–∑–º–µ–Ω–∏—Ç–µ —Å—Ç—Ä–æ–∫—É –∫–æ–¥–∞, –≤ –∫–æ—Ç–æ—Ä–æ–π –º—ã —Å–ø—Ä–∞—à–∏–≤–∞–µ–º –ø–æ–ª—å–∑–æ–≤–∞—Ç–µ–ª—è, —Å–∫–æ–ª—å–∫–æ –ø–æ–∫–∞–∑–∞—Ç–µ–ª–µ–π –ø—Ä–æ–¥–∞–∂ –æ–Ω–∏ —Ö–æ—Ç—è—Ç –≤—ã—á–∏—Å–ª–∏—Ç—å:

–¢–µ–ø–µ—Ä—å –º—ã –∫–æ–Ω–≤–µ—Ä—Ç–∏—Ä—É–µ–º total_sales –≤ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ –≤–º–µ—Å—Ç–æ –∑–Ω–∞—á–µ–Ω–∏—è —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π. –ú—ã –≤—ã–ø–æ–ª–Ω—è–µ–º —ç—Ç–æ –ø—Ä–µ–æ–±—Ä–∞–∑–æ–≤–∞–Ω–∏–µ —Å –ø–æ–º–æ—â—å—é –º–µ—Ç–æ–¥–∞ int () .

–î–∞–≤–∞–π—Ç–µ –∑–∞–ø—É—Å—Ç–∏–º –Ω–∞—à –∫–æ–¥:

–ù–∞—à –∫–æ–¥ —É—Å–ø–µ—à–Ω–æ –≤—ã—á–∏—Å–ª—è–µ—Ç, —Å–∫–æ–ª—å–∫–æ –∏–∑ –ø–µ—Ä–≤—ã–µ –¥–≤–∞ —Å—ã—Ä–∞ –≤ –Ω–∞—à–µ–º —Å–ø–∏—Å–∫–µ –±—ã–ª–∏ –ø—Ä–æ–¥–∞–Ω—ã.

–ó–∞–∫–ª—é—á–µ–Ω–∏–µ

–û–±—ä–µ–∫—Ç " TypeError: " float " –Ω–µ–ª—å–∑—è –∏–Ω—Ç–µ—Ä–ø—Ä–µ—Ç–∏—Ä–æ–≤–∞—Ç—å –∫–∞–∫ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ " –æ—à–∏–±–∫–∞ –≤–æ–∑–Ω–∏–∫–∞–µ—Ç –ø—Ä–∏ –ø–æ–ø—ã—Ç–∫–µ –∏—Å–ø–æ–ª—å–∑–æ–≤–∞—Ç—å —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π –≤ –º–µ—Å—Ç–µ, –≥–¥–µ –¥–æ–ø—É—Å–∫–∞–µ—Ç—Å—è —Ç–æ–ª—å–∫–æ —Ü–µ–ª–æ–µ —á–∏—Å–ª–æ.

–≠—Ç–∞ –æ—à–∏–±–∫–∞ —è–≤–ª—è–µ—Ç—Å—è —á–∞—Å—Ç–æ–π, –∫–æ–≥–¥–∞ –≤—ã –ø—ã—Ç–∞–µ—Ç–µ—Å—å –∏—Å–ø–æ–ª—å–∑–æ–≤–∞—Ç—å —á–∏—Å–ª–æ —Å –ø–ª–∞–≤–∞—é—â–µ–π –∑–∞–ø—è—Ç–æ–π –≤ range () –æ–ø–µ—Ä–∞—Ç–æ—Ä. –ß—Ç–æ–±—ã —É—Å—Ç—Ä–∞–Ω–∏—Ç—å —ç—Ç—É –æ—à–∏–±–∫—É, —É–±–µ–¥–∏—Ç–µ—Å—å, —á—Ç–æ –≤—ã –∏—Å–ø–æ–ª—å–∑—É–µ—Ç–µ —Ü–µ–ª–æ—á–∏—Å–ª–µ–Ω–Ω—ã–µ –∑–Ω–∞—á–µ–Ω–∏—è –≤ –æ–ø–µ—Ä–∞—Ç–æ—Ä–µ range () –∏–ª–∏ –ª—é–±–æ–º –¥—Ä—É–≥–æ–º –≤—Å—Ç—Ä–æ–µ–Ω–Ω–æ–º –æ–ø–µ—Ä–∞—Ç–æ—Ä–µ, –∫–æ—Ç–æ—Ä—ã–π, –ø–æ-–≤–∏–¥–∏–º–æ–º—É, –≤—ã–∑—ã–≤–∞–µ—Ç e –æ—à–∏–±–∫–∞.

–¢–µ–ø–µ—Ä—å —É –≤–∞—Å –µ—Å—Ç—å –Ω–∞–≤—ã–∫–∏ –∏ –Ω–æ—É-—Ö–∞—É, –Ω–µ–æ–±—Ö–æ–¥–∏–º—ã–µ –¥–ª—è —Ä–µ—à–µ–Ω–∏—è —ç—Ç–æ–π –æ—à–∏–±–∫–∏ –∫–∞–∫ –ø—Ä–æ—Ñ–µ—Å—Å–∏–æ–Ω–∞–ª!