40 and 39 can be ignored temporarily because they can be made from smaller numbers. The remaining are 20-4, 20-3, 20+3, 20+4. With 4 arrows, you have 80 + 4 lots of +/- 3,4 in some combination. With 5 arrows, it's 100 + 5 smaller bits, and with 6 arrows it's 120 +/- 6 smaller bits. Only with 6 arrows can you get the +/- to exactly match up to get you to 100. And you can't merge any pairs of them back into the 39 and 40 arrows.
@LOGICALLYYOURSКүн бұрын
@@SimonClarkstone that was a fantastic perspective ❤️
@fizixx21 күн бұрын
I always pause the video, and I try to 'think logically', but often don't see the right path to follow, but I always try, and with this one I got this right away. Your vids help a lot, thanks.
@LOGICALLYYOURS21 күн бұрын
That’s amazing… you are a logical thinker!
@fizixx21 күн бұрын
@@LOGICALLYYOURS 😎
@sofiyankhan-pj2ex15 күн бұрын
Nice one, keep it up.😊
@Smallpriest21 күн бұрын
I noticed that 100/6 is about 16.67, meaning some combination of 16s and 17s will do the trick. From there it's just guess and check
@LOGICALLYYOURS21 күн бұрын
Good one 👌
@venkattn4921 күн бұрын
Bro Post a video regularly
@LOGICALLYYOURS21 күн бұрын
Yes bro… now back to work 😁… well recently posted two more videos, in case if you missed !
@venkattn4921 күн бұрын
@LOGICALLYYOURS sorry I missed that 😅
@blank450220 күн бұрын
Well I saw 6 16s is 96, and 17 is one more, so replace 4 16s with 17s to get 4 more which is 100. 16+16+17+17+17+17=100
@wholesomeparas120 күн бұрын
Nice and Simple
@mongoliacomix20 күн бұрын
Notice that each score can be written as A) nx5+1 or B nx5+2 also notice that 100= 20x5 to reach 20x5 we have to add either A+B+B or A+A+A+B only in these cases you can fom extra groups of five. with any other combination will be impossible to form 20 groups of five.
@sundaramanand8788Күн бұрын
isnt this basic dynamic programming?
@evanrosman922620 күн бұрын
I got it right.
@trevorholland503220 күн бұрын
6x16 = 96. So 4 more is needed, so 4 of the 16s turn to 17s.
@hikari169021 күн бұрын
Ahha, so there really is just a bruteforce method. Thank you~ That said, the reply at the end really was nicely formatted! Definitely impossible since I'm on mobile though haha.
@LOGICALLYYOURS21 күн бұрын
It's all about finding the pattern, sometimes a brute force approach is the best way to do that!
@hikari169021 күн бұрын
@@LOGICALLYYOURS atleast with his tips it reduced it from 7⁵ ish possible combinations to about 12 which is very optimized. Thank you again~
@richardwiseman42215 күн бұрын
Or 100/3=33 1/3. 3(16+17)=99. change one 16 to a 17 and you now get 100.
@MrVinaykaushik15 күн бұрын
17*4 + 16*2
@m444ss19 күн бұрын
16, 16, 17, 17, 17, 17
@danielleza90819 күн бұрын
4x17 + 2x16.
@srikanth164921 күн бұрын
Treat after a long time , expecting more
@LOGICALLYYOURS21 күн бұрын
Yes Srikanth, more puzzles on their way… by the way, did you check out previous two puzzles posted in the last week
@j.r.121021 күн бұрын
Two arrows on 40 and one arrow exactly on the line between the 17 zone and the 23 zone. (We are already assuming an archer with perfect accuracy, right? That's necessary for the problem.) An arrow on the line should be awarded the average points of the two zones: (17 + 23)/2 = 20. Hence, 40 + 40 + 20 = 100.
@nikhilsaini333821 күн бұрын
I solve it previous week
@LOGICALLYYOURS21 күн бұрын
That’s great Nikhil… in this video i was trying to explain checking other combinations
@shashwatgupta461321 күн бұрын
One more soln 16 17 a b 23 24 c d 39 40 e f 16a +17b .... = 100 St a to f all non negative. Replace 16(a+b) + b Is like 16x + y St x>=y Same for 23 and 39 So need to make no less than 100 by 16 23 and 39 One soln by 16 Then easily move through 16 replace by 23 or 39 Faster results....
@LOGICALLYYOURS21 күн бұрын
@@shashwatgupta4613 thanks for taking time to respond. Would you please share the solution in detail as I found it a little difficult to understand. Your comment is highly appreciated.