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I have it fiqured out for 2014 in SCRC!!! make su

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Post# of 7769
Posted On: 12/29/2013 11:00:08 AM
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Posted By: Tutter18
I have it fiqured out for 2014 in SCRC!!!
make sure you see the last sentence for the answer!!

let *(z) be the transformation *(z)=(z_x,z_y+d(z)) ,
   where d(z)  is the Euclidean distance between z  and the nearest site 
let T be the "beach line"
let R_p be the region covered by site p .
let C_{pq} be the boundary ray between sites p and q .
let p_1,p_2,...,p_m be the sites with minimal y -coordinate, ordered by x -coordinate
Q \gets S - {p_1,p_2,...,p_m}
create initial vertical boundary rays C_{p_1,p_2}^0,C_{p_2,p_3}^0,...C_{p_{m-1},p_m}^0
T \gets *(R_{p_1}),C_{p_1,p_2}^0,*(R_{p_2}),C_{p_2,p_3}^0,...,*(R_{p_{m-1}}),C_{p_{m-1},p_m}^0,*(R_{p_m})
while not IsEmpty(Q ) do
p ? DeleteMin(Q )
case p of
p is a site in *(V) : + PIMD

find the occurrence of a region *(R_q) in T containing p ,
bracketed by C_{rq} on the left and C_{qs} on the right
create new boundary rays C_{pq}^- and C_{pq}^+ with bases p
replace *(R_q) with *(R_q),C_{pq}^-,*(R_p),C_{pq}^+,*(R_q) in T
delete from Q any intersection between C_{rq} and C_{qs}
insert into Q any intersection between C_{rq} and C_{pq}^-
insert into Q any intersection between C_{pq}^+ and C_{qs}
p is a Voronoi vertex in *(V) : = Wholesale RX
let p be the intersection of C_{qr} on the left and C_{rs} on the right
let C_{uq} be the left neighbor of C_{qr} and
let C_{sv} be the right neighbor of C_{rs} in T
create a new boundary ray C_{qs}^0 if q_y = s_y ,
or create C_{qs}^+ if p is right of the higher of q and s ,
otherwise create C_{qs}^-
replace C_{qr},*(R_r),C_{rs} with newly created C_{qs} in T
delete from Q any intersection between C_{uq} and C_{qr}
delete from Q any intersection between C_{rs} and C_{sv}
insert into Q any intersection between C_{uq} and C_{qs}
insert into Q any intersection between C_{qs} and C_{sv}
record p as the summit of C_{qr} and C_{rs} and the base of C_{qs}
output the boundary segments C_{qr} and C_{rs}
endcase
endwhile
output the remaining boundary rays in T = China Asia Europe North & South America

equals a Binary event that will go Parabolic!!! Tut


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