Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Below given is a blank equation: ____ + ____ = ____ you are given digits 1,2,3,4,5,and 6 Use each only once once without any mathematical operator other than the ones provided in the equation to make this equation true. Each digit must be used in every solution. I know of three solutions. Can you provide more? Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 (edited) EDIT: Nevermind, wrong answer... Edited July 30, 2010 by Anza Power Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 The only way i figured it could go is ##+##=## because it can't be #+##=### or any other type of combination, but I've tried all possibilities and none was true: 12+34=56 FALSE 12+34=65 FALSE 12+35=46 FALSE 12+35=64 FALSE 12+36=45 FALSE 12+36=54 FALSE 12+43=56 FALSE 12+43=65 FALSE 12+45=36 FALSE 12+45=63 FALSE 12+46=35 FALSE 12+46=53 FALSE 12+53=46 FALSE 12+53=64 FALSE 12+54=36 FALSE 12+54=63 FALSE 12+56=34 FALSE 12+56=43 FALSE 12+63=45 FALSE 12+63=54 FALSE 12+64=35 FALSE 12+64=53 FALSE 12+65=34 FALSE 12+65=43 FALSE 13+24=56 FALSE 13+24=65 FALSE 13+25=46 FALSE 13+25=64 FALSE 13+26=45 FALSE 13+26=54 FALSE 13+42=56 FALSE 13+42=65 FALSE 13+45=26 FALSE 13+45=62 FALSE 13+46=25 FALSE 13+46=52 FALSE 13+52=46 FALSE 13+52=64 FALSE 13+54=26 FALSE 13+54=62 FALSE 13+56=24 FALSE 13+56=42 FALSE 13+62=45 FALSE 13+62=54 FALSE 13+64=25 FALSE 13+64=52 FALSE 13+65=24 FALSE 13+65=42 FALSE 14+23=56 FALSE 14+23=65 FALSE 14+25=36 FALSE 14+25=63 FALSE 14+26=35 FALSE 14+26=53 FALSE 14+32=56 FALSE 14+32=65 FALSE 14+35=26 FALSE 14+35=62 FALSE 14+36=25 FALSE 14+36=52 FALSE 14+52=36 FALSE 14+52=63 FALSE 14+53=26 FALSE 14+53=62 FALSE 14+56=23 FALSE 14+56=32 FALSE 14+62=35 FALSE 14+62=53 FALSE 14+63=25 FALSE 14+63=52 FALSE 14+65=23 FALSE 14+65=32 FALSE 15+23=46 FALSE 15+23=64 FALSE 15+24=36 FALSE 15+24=63 FALSE 15+26=34 FALSE 15+26=43 FALSE 15+32=46 FALSE 15+32=64 FALSE 15+34=26 FALSE 15+34=62 FALSE 15+36=24 FALSE 15+36=42 FALSE 15+42=36 FALSE 15+42=63 FALSE 15+43=26 FALSE 15+43=62 FALSE 15+46=23 FALSE 15+46=32 FALSE 15+62=34 FALSE 15+62=43 FALSE 15+63=24 FALSE 15+63=42 FALSE 15+64=23 FALSE 15+64=32 FALSE 16+23=45 FALSE 16+23=54 FALSE 16+24=35 FALSE 16+24=53 FALSE 16+25=34 FALSE 16+25=43 FALSE 16+32=45 FALSE 16+32=54 FALSE 16+34=25 FALSE 16+34=52 FALSE 16+35=24 FALSE 16+35=42 FALSE 16+42=35 FALSE 16+42=53 FALSE 16+43=25 FALSE 16+43=52 FALSE 16+45=23 FALSE 16+45=32 FALSE 16+52=34 FALSE 16+52=43 FALSE 16+53=24 FALSE 16+53=42 FALSE 16+54=23 FALSE 16+54=32 FALSE 21+34=56 FALSE 21+34=65 FALSE 21+35=46 FALSE 21+35=64 FALSE 21+36=45 FALSE 21+36=54 FALSE 21+43=56 FALSE 21+43=65 FALSE 21+45=36 FALSE 21+45=63 FALSE 21+46=35 FALSE 21+46=53 FALSE 21+53=46 FALSE 21+53=64 FALSE 21+54=36 FALSE 21+54=63 FALSE 21+56=34 FALSE 21+56=43 FALSE 21+63=45 FALSE 21+63=54 FALSE 21+64=35 FALSE 21+64=53 FALSE 21+65=34 FALSE 21+65=43 FALSE 23+14=56 FALSE 23+14=65 FALSE 23+15=46 FALSE 23+15=64 FALSE 23+16=45 FALSE 23+16=54 FALSE 23+41=56 FALSE 23+41=65 FALSE 23+45=16 FALSE 23+45=61 FALSE 23+46=15 FALSE 23+46=51 FALSE 23+51=46 FALSE 23+51=64 FALSE 23+54=16 FALSE 23+54=61 FALSE 23+56=14 FALSE 23+56=41 FALSE 23+61=45 FALSE 23+61=54 FALSE 23+64=15 FALSE 23+64=51 FALSE 23+65=14 FALSE 23+65=41 FALSE 24+13=56 FALSE 24+13=65 FALSE 24+15=36 FALSE 24+15=63 FALSE 24+16=35 FALSE 24+16=53 FALSE 24+31=56 FALSE 24+31=65 FALSE 24+35=16 FALSE 24+35=61 FALSE 24+36=15 FALSE 24+36=51 FALSE 24+51=36 FALSE 24+51=63 FALSE 24+53=16 FALSE 24+53=61 FALSE 24+56=13 FALSE 24+56=31 FALSE 24+61=35 FALSE 24+61=53 FALSE 24+63=15 FALSE 24+63=51 FALSE 24+65=13 FALSE 24+65=31 FALSE 25+13=46 FALSE 25+13=64 FALSE 25+14=36 FALSE 25+14=63 FALSE 25+16=34 FALSE 25+16=43 FALSE 25+31=46 FALSE 25+31=64 FALSE 25+34=16 FALSE 25+34=61 FALSE 25+36=14 FALSE 25+36=41 FALSE 25+41=36 FALSE 25+41=63 FALSE 25+43=16 FALSE 25+43=61 FALSE 25+46=13 FALSE 25+46=31 FALSE 25+61=34 FALSE 25+61=43 FALSE 25+63=14 FALSE 25+63=41 FALSE 25+64=13 FALSE 25+64=31 FALSE 26+13=45 FALSE 26+13=54 FALSE 26+14=35 FALSE 26+14=53 FALSE 26+15=34 FALSE 26+15=43 FALSE 26+31=45 FALSE 26+31=54 FALSE 26+34=15 FALSE 26+34=51 FALSE 26+35=14 FALSE 26+35=41 FALSE 26+41=35 FALSE 26+41=53 FALSE 26+43=15 FALSE 26+43=51 FALSE 26+45=13 FALSE 26+45=31 FALSE 26+51=34 FALSE 26+51=43 FALSE 26+53=14 FALSE 26+53=41 FALSE 26+54=13 FALSE 26+54=31 FALSE 31+24=56 FALSE 31+24=65 FALSE 31+25=46 FALSE 31+25=64 FALSE 31+26=45 FALSE 31+26=54 FALSE 31+42=56 FALSE 31+42=65 FALSE 31+45=26 FALSE 31+45=62 FALSE 31+46=25 FALSE 31+46=52 FALSE 31+52=46 FALSE 31+52=64 FALSE 31+54=26 FALSE 31+54=62 FALSE 31+56=24 FALSE 31+56=42 FALSE 31+62=45 FALSE 31+62=54 FALSE 31+64=25 FALSE 31+64=52 FALSE 31+65=24 FALSE 31+65=42 FALSE 32+14=56 FALSE 32+14=65 FALSE 32+15=46 FALSE 32+15=64 FALSE 32+16=45 FALSE 32+16=54 FALSE 32+41=56 FALSE 32+41=65 FALSE 32+45=16 FALSE 32+45=61 FALSE 32+46=15 FALSE 32+46=51 FALSE 32+51=46 FALSE 32+51=64 FALSE 32+54=16 FALSE 32+54=61 FALSE 32+56=14 FALSE 32+56=41 FALSE 32+61=45 FALSE 32+61=54 FALSE 32+64=15 FALSE 32+64=51 FALSE 32+65=14 FALSE 32+65=41 FALSE 34+12=56 FALSE 34+12=65 FALSE 34+15=26 FALSE 34+15=62 FALSE 34+16=25 FALSE 34+16=52 FALSE 34+21=56 FALSE 34+21=65 FALSE 34+25=16 FALSE 34+25=61 FALSE 34+26=15 FALSE 34+26=51 FALSE 34+51=26 FALSE 34+51=62 FALSE 34+52=16 FALSE 34+52=61 FALSE 34+56=12 FALSE 34+56=21 FALSE 34+61=25 FALSE 34+61=52 FALSE 34+62=15 FALSE 34+62=51 FALSE 34+65=12 FALSE 34+65=21 FALSE 35+12=46 FALSE 35+12=64 FALSE 35+14=26 FALSE 35+14=62 FALSE 35+16=24 FALSE 35+16=42 FALSE 35+21=46 FALSE 35+21=64 FALSE 35+24=16 FALSE 35+24=61 FALSE 35+26=14 FALSE 35+26=41 FALSE 35+41=26 FALSE 35+41=62 FALSE 35+42=16 FALSE 35+42=61 FALSE 35+46=12 FALSE 35+46=21 FALSE 35+61=24 FALSE 35+61=42 FALSE 35+62=14 FALSE 35+62=41 FALSE 35+64=12 FALSE 35+64=21 FALSE 36+12=45 FALSE 36+12=54 FALSE 36+14=25 FALSE 36+14=52 FALSE 36+15=24 FALSE 36+15=42 FALSE 36+21=45 FALSE 36+21=54 FALSE 36+24=15 FALSE 36+24=51 FALSE 36+25=14 FALSE 36+25=41 FALSE 36+41=25 FALSE 36+41=52 FALSE 36+42=15 FALSE 36+42=51 FALSE 36+45=12 FALSE 36+45=21 FALSE 36+51=24 FALSE 36+51=42 FALSE 36+52=14 FALSE 36+52=41 FALSE 36+54=12 FALSE 36+54=21 FALSE 41+23=56 FALSE 41+23=65 FALSE 41+25=36 FALSE 41+25=63 FALSE 41+26=35 FALSE 41+26=53 FALSE 41+32=56 FALSE 41+32=65 FALSE 41+35=26 FALSE 41+35=62 FALSE 41+36=25 FALSE 41+36=52 FALSE 41+52=36 FALSE 41+52=63 FALSE 41+53=26 FALSE 41+53=62 FALSE 41+56=23 FALSE 41+56=32 FALSE 41+62=35 FALSE 41+62=53 FALSE 41+63=25 FALSE 41+63=52 FALSE 41+65=23 FALSE 41+65=32 FALSE 42+13=56 FALSE 42+13=65 FALSE 42+15=36 FALSE 42+15=63 FALSE 42+16=35 FALSE 42+16=53 FALSE 42+31=56 FALSE 42+31=65 FALSE 42+35=16 FALSE 42+35=61 FALSE 42+36=15 FALSE 42+36=51 FALSE 42+51=36 FALSE 42+51=63 FALSE 42+53=16 FALSE 42+53=61 FALSE 42+56=13 FALSE 42+56=31 FALSE 42+61=35 FALSE 42+61=53 FALSE 42+63=15 FALSE 42+63=51 FALSE 42+65=13 FALSE 42+65=31 FALSE 43+12=56 FALSE 43+12=65 FALSE 43+15=26 FALSE 43+15=62 FALSE 43+16=25 FALSE 43+16=52 FALSE 43+21=56 FALSE 43+21=65 FALSE 43+25=16 FALSE 43+25=61 FALSE 43+26=15 FALSE 43+26=51 FALSE 43+51=26 FALSE 43+51=62 FALSE 43+52=16 FALSE 43+52=61 FALSE 43+56=12 FALSE 43+56=21 FALSE 43+61=25 FALSE 43+61=52 FALSE 43+62=15 FALSE 43+62=51 FALSE 43+65=12 FALSE 43+65=21 FALSE 45+12=36 FALSE 45+12=63 FALSE 45+13=26 FALSE 45+13=62 FALSE 45+16=23 FALSE 45+16=32 FALSE 45+21=36 FALSE 45+21=63 FALSE 45+23=16 FALSE 45+23=61 FALSE 45+26=13 FALSE 45+26=31 FALSE 45+31=26 FALSE 45+31=62 FALSE 45+32=16 FALSE 45+32=61 FALSE 45+36=12 FALSE 45+36=21 FALSE 45+61=23 FALSE 45+61=32 FALSE 45+62=13 FALSE 45+62=31 FALSE 45+63=12 FALSE 45+63=21 FALSE 46+12=35 FALSE 46+12=53 FALSE 46+13=25 FALSE 46+13=52 FALSE 46+15=23 FALSE 46+15=32 FALSE 46+21=35 FALSE 46+21=53 FALSE 46+23=15 FALSE 46+23=51 FALSE 46+25=13 FALSE 46+25=31 FALSE 46+31=25 FALSE 46+31=52 FALSE 46+32=15 FALSE 46+32=51 FALSE 46+35=12 FALSE 46+35=21 FALSE 46+51=23 FALSE 46+51=32 FALSE 46+52=13 FALSE 46+52=31 FALSE 46+53=12 FALSE 46+53=21 FALSE 51+23=46 FALSE 51+23=64 FALSE 51+24=36 FALSE 51+24=63 FALSE 51+26=34 FALSE 51+26=43 FALSE 51+32=46 FALSE 51+32=64 FALSE 51+34=26 FALSE 51+34=62 FALSE 51+36=24 FALSE 51+36=42 FALSE 51+42=36 FALSE 51+42=63 FALSE 51+43=26 FALSE 51+43=62 FALSE 51+46=23 FALSE 51+46=32 FALSE 51+62=34 FALSE 51+62=43 FALSE 51+63=24 FALSE 51+63=42 FALSE 51+64=23 FALSE 51+64=32 FALSE 52+13=46 FALSE 52+13=64 FALSE 52+14=36 FALSE 52+14=63 FALSE 52+16=34 FALSE 52+16=43 FALSE 52+31=46 FALSE 52+31=64 FALSE 52+34=16 FALSE 52+34=61 FALSE 52+36=14 FALSE 52+36=41 FALSE 52+41=36 FALSE 52+41=63 FALSE 52+43=16 FALSE 52+43=61 FALSE 52+46=13 FALSE 52+46=31 FALSE 52+61=34 FALSE 52+61=43 FALSE 52+63=14 FALSE 52+63=41 FALSE 52+64=13 FALSE 52+64=31 FALSE 53+12=46 FALSE 53+12=64 FALSE 53+14=26 FALSE 53+14=62 FALSE 53+16=24 FALSE 53+16=42 FALSE 53+21=46 FALSE 53+21=64 FALSE 53+24=16 FALSE 53+24=61 FALSE 53+26=14 FALSE 53+26=41 FALSE 53+41=26 FALSE 53+41=62 FALSE 53+42=16 FALSE 53+42=61 FALSE 53+46=12 FALSE 53+46=21 FALSE 53+61=24 FALSE 53+61=42 FALSE 53+62=14 FALSE 53+62=41 FALSE 53+64=12 FALSE 53+64=21 FALSE 54+12=36 FALSE 54+12=63 FALSE 54+13=26 FALSE 54+13=62 FALSE 54+16=23 FALSE 54+16=32 FALSE 54+21=36 FALSE 54+21=63 FALSE 54+23=16 FALSE 54+23=61 FALSE 54+26=13 FALSE 54+26=31 FALSE 54+31=26 FALSE 54+31=62 FALSE 54+32=16 FALSE 54+32=61 FALSE 54+36=12 FALSE 54+36=21 FALSE 54+61=23 FALSE 54+61=32 FALSE 54+62=13 FALSE 54+62=31 FALSE 54+63=12 FALSE 54+63=21 FALSE 56+12=34 FALSE 56+12=43 FALSE 56+13=24 FALSE 56+13=42 FALSE 56+14=23 FALSE 56+14=32 FALSE 56+21=34 FALSE 56+21=43 FALSE 56+23=14 FALSE 56+23=41 FALSE 56+24=13 FALSE 56+24=31 FALSE 56+31=24 FALSE 56+31=42 FALSE 56+32=14 FALSE 56+32=41 FALSE 56+34=12 FALSE 56+34=21 FALSE 56+41=23 FALSE 56+41=32 FALSE 56+42=13 FALSE 56+42=31 FALSE 56+43=12 FALSE 56+43=21 FALSE 61+23=45 FALSE 61+23=54 FALSE 61+24=35 FALSE 61+24=53 FALSE 61+25=34 FALSE 61+25=43 FALSE 61+32=45 FALSE 61+32=54 FALSE 61+34=25 FALSE 61+34=52 FALSE 61+35=24 FALSE 61+35=42 FALSE 61+42=35 FALSE 61+42=53 FALSE 61+43=25 FALSE 61+43=52 FALSE 61+45=23 FALSE 61+45=32 FALSE 61+52=34 FALSE 61+52=43 FALSE 61+53=24 FALSE 61+53=42 FALSE 61+54=23 FALSE 61+54=32 FALSE 62+13=45 FALSE 62+13=54 FALSE 62+14=35 FALSE 62+14=53 FALSE 62+15=34 FALSE 62+15=43 FALSE 62+31=45 FALSE 62+31=54 FALSE 62+34=15 FALSE 62+34=51 FALSE 62+35=14 FALSE 62+35=41 FALSE 62+41=35 FALSE 62+41=53 FALSE 62+43=15 FALSE 62+43=51 FALSE 62+45=13 FALSE 62+45=31 FALSE 62+51=34 FALSE 62+51=43 FALSE 62+53=14 FALSE 62+53=41 FALSE 62+54=13 FALSE 62+54=31 FALSE 63+12=45 FALSE 63+12=54 FALSE 63+14=25 FALSE 63+14=52 FALSE 63+15=24 FALSE 63+15=42 FALSE 63+21=45 FALSE 63+21=54 FALSE 63+24=15 FALSE 63+24=51 FALSE 63+25=14 FALSE 63+25=41 FALSE 63+41=25 FALSE 63+41=52 FALSE 63+42=15 FALSE 63+42=51 FALSE 63+45=12 FALSE 63+45=21 FALSE 63+51=24 FALSE 63+51=42 FALSE 63+52=14 FALSE 63+52=41 FALSE 63+54=12 FALSE 63+54=21 FALSE 64+12=35 FALSE 64+12=53 FALSE 64+13=25 FALSE 64+13=52 FALSE 64+15=23 FALSE 64+15=32 FALSE 64+21=35 FALSE 64+21=53 FALSE 64+23=15 FALSE 64+23=51 FALSE 64+25=13 FALSE 64+25=31 FALSE 64+31=25 FALSE 64+31=52 FALSE 64+32=15 FALSE 64+32=51 FALSE 64+35=12 FALSE 64+35=21 FALSE 64+51=23 FALSE 64+51=32 FALSE 64+52=13 FALSE 64+52=31 FALSE 64+53=12 FALSE 64+53=21 FALSE 65+12=34 FALSE 65+12=43 FALSE 65+13=24 FALSE 65+13=42 FALSE 65+14=23 FALSE 65+14=32 FALSE 65+21=34 FALSE 65+21=43 FALSE 65+23=14 FALSE 65+23=41 FALSE 65+24=13 FALSE 65+24=31 FALSE 65+31=24 FALSE 65+31=42 FALSE 65+32=14 FALSE 65+32=41 FALSE 65+34=12 FALSE 65+34=21 FALSE 65+41=23 FALSE 65+41=32 FALSE 65+42=13 FALSE 65+42=31 FALSE 65+43=12 FALSE 65+43=21 FALSE Could we use fractions or dots here? (i.e 16/4, 3.2) Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Fractions are not allowed. But you can use the digits in some other manner Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 4^3 + 1^2 = 65 If you write it in classic mathematical manner, you don't need to use '^' which is used for programming. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 4^3 + 1^2 = 65 If you write it in classic mathematical manner, you don't need to use '^' which is used for programming. One correct ..two more to go Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 2^5 + 4^1 = 36 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 2^5 + 4^1 = 36 one more to go Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Most of them involve 1 raised to any power is still 1 1^234+5=6 1^236+4=5 1^243+5=6 1^2+4^3=65 1^256+3=4 1^263+4=5 1^265+3=4 1^324+5=6 1^326+4=5 1^342+5=6 1^362+4=5 1^423+5=6 1^432+5=6 1^4+35=6^2 1^456+2=3 1^465+2=3 1^526+3=4 1^546+2=3 1^562+3=4 1^564+2=3 1^623+4=5 1^625+3=4 1^632+4=5 1^645+2=3 1^652+3=4 1^654+2=3 2^5+4^1=36 2^5+4=36^1 35+1^4=6^2 4^1+2^5=36 4^3+1^2=65 Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Well i'm stumped. Every possible combination and didn't get anything. I'm thinking that we need to switch to a different base to make the equation true. Base 6? I'll have to get back to this one. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Below given is a blank equation: ____ + ____ = ____ you are given digits 1,2,3,4,5,and 6 Use each only once once without any mathematical operator other than the ones provided in the equation to make this equation true. Each digit must be used in every solution. I know of three solutions. Can you provide more? Isn't raising a number to a power (i.e., exponents) a mathematical operation, too? Yet, you say not other mathematical operations, and even say that fractions aren't allowed. Maybe I'm just too new, but this is confusing. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 Isn't raising a number to a power (i.e., exponents) a mathematical operation, too? Yet, you say not other mathematical operations, and even say that fractions aren't allowed. Maybe I'm just too new, but this is confusing. I think it's because you don't need to write an operator, just the exponent. It's a little confusing, but I guess that was his intention. He wrote "operator" and we assumed "operation". Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 4^(1+3)=256 I think i have it Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 30, 2010 Report Share Posted July 30, 2010 You need to change the base. 14+36=52 Base 8 15+26=43 Base 8 16+25=43 Base 8 16+34=52 Base 8 24+35=61 Base 8 25+16=43 Base 8 25+34=61 Base 8 26+15=43 Base 8 34+16=52 Base 8 34+25=61 Base 8 35+24=61 Base 8 36+14=52 Base 8 I tried a bunch of other bases, and base 8 is the only one that works. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted July 31, 2010 Report Share Posted July 31, 2010 (edited) One correct ..two more to go You told not to use any mathematical operator than + and == so ^ is also a mathematical operastor. Isnt it? Edited July 31, 2010 by parik Quote Link to comment Share on other sites More sharing options...
0 Guest Posted August 1, 2010 Report Share Posted August 1, 2010 You told not to use any mathematical operator than + and == so ^ is also a mathematical operastor. Isnt it? you are considering this operator thing too seriously..this is just rearranging the digits in another manner Quote Link to comment Share on other sites More sharing options...
0 Guest Posted August 1, 2010 Report Share Posted August 1, 2010 Solved by Hugo and others Quote Link to comment Share on other sites More sharing options...
Question
Guest
Below given is a blank equation:
____ + ____ = ____
you are given digits 1,2,3,4,5,and 6
Use each only once once without any mathematical operator other than the ones provided in the equation to make this equation true.
Each digit must be used in every solution.
I know of three solutions. Can you provide more?
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