[et_pb_section fb_built="1" _builder_version="3.22.4"][et_pb_row _builder_version="3.25"][et_pb_column type="4_4" _builder_version="3.25" custom_padding="|||" custom_padding__hover="|||"][et_pb_text _builder_version="3.27.4" text_font="Raleway|300|||||||" text_text_color="#ffffff" header_font="Raleway|300|||||||" header_text_color="#e2e2e2" background_color="#0c71c3" custom_padding="20px|20px|20px|20px" border_radii="on|5px|5px|5px|5px" box_shadow_style="preset3" inline_fonts="Aclonica"]Understand the problem
[/et_pb_text][et_pb_text _builder_version="3.27.4" text_font="Raleway||||||||" background_color="#f4f4f4" custom_margin="10px||10px" custom_padding="10px|20px|10px|20px" box_shadow_style="preset2"] If there exists a calculator with 12 buttons, 10 being the buttons for the digits and A and B being two buttons being processes where if n is displayed on the calculator if A is pressed it increases the displayed number by 1 and if B is pressed it multiplies n by 2 hence 2n. Hence find the minimum number of moves to get 260 from 1
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[/et_pb_accordion_item][et_pb_accordion_item title="Difficulty Level" _builder_version="3.22.7" open="off"]4 out of 10[/et_pb_accordion_item][et_pb_accordion_item title="Suggested Book" open="off" _builder_version="4.3.4"]Challenges and Thrills of Pre-College Mathematics by University Press[/et_pb_accordion_item][/et_pb_accordion][et_pb_tabs active_tab_background_color="#0c71c3" inactive_tab_background_color="#000000" _builder_version="3.22.7" tab_text_color="#ffffff" tab_font="||||||||" background_color="#ffffff"][et_pb_tab title="Hint 0" _builder_version="3.22.4"]Do you really need a hint? Try it first!
[/et_pb_tab][et_pb_tab title="Hint 1" _builder_version="3.22.4"]DO you know how to start working backward
[/et_pb_tab][et_pb_tab title="Hint 2" _builder_version="3.22.4"] working backward means that when you press A is makes -1 from the result
and pressing B you can divide 2
[/et_pb_tab][et_pb_tab title="Hint 3" _builder_version="3.22.4"]strategies are like this , divide the no. as many step you can , when the result it not divisible by 2 just -1
[/et_pb_tab][et_pb_tab title="Hint 4" _builder_version="3.22.7"]\(260\rightarrow130\rightarrow65\rightarrow64\rightarrow32\rightarrow16\rightarrow8\rightarrow4\rightarrow2\rightarrow1\)
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1,2,4,8,16,32,64,65,130,260
therefore just 9 moves
here it is said to find minimum ways
let 1 was typed now i press another digit key 3 now i again pressed a digit 0 then i press B
hence it proceed that 1-13-130-260 hence it is only 3 moves .........