SIP MAPS

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    Map 1 Sheet

    Proposed Areas For Garbage Bins Graph:Cell:

    G5: PROPOSED AREAS FOR THE GARBAGE BINS

    D7:J7: Green Fill ith All !"r#er$

    %7:S7:Green Fill ith all !"r#er$

    E&: 'IF(OR(F55')D)*E5+')D),*-*)D),

    H&: 'IF(OR(E55')D)*G55')D)*F5+')D),*-*)D),

    .&: 'IF(OR(F55')D)*G5+')D)*H55')D),*-*)D),

    N&: 'IF(OR(H5+')D)*G55')D)*I55')D),*-*)D),

    /&: 'IF(OR(H55')D)*I5+')D)*J55')D),*-*)D),

    D0:D1: Green Fill ith All !"r#er$

    F0:G1: Green Fill ith All !"r#er$

    I0:J1: Green Fill ith All !"r#er$

    %0:M1: Green Fill ith All !"r#er$

    O0:P1: Green Fill ith All !"r#er$

    R0:S1: Green Fill ith All !"r#er$

    E: 'IF(OR(E55')D)*F5+')D),*-*)D),

    H: 'IF(OR(E5+')D)*F55')D)*G5+')D),*-*)D),

    .: 'IF(OR(F5+')D)*G55')D)*H5+')D),*-*)D),

    N: 'IF(OR(G5+')D)*I5+')D)*H55')D),*-*)D),

    /: 'IF(OR(H5+')D)*I55')D)*J5+')D),*-*)D),

    INTERSECTING EDGES GRAPHCE%%:

    D2:J2: Green Fill ith All !"r#er$

    %2:S2: Green Fill ith All !"r#er$

    E22: 'S3M(4Cal6lati"n $heet "r 8ap 149B2:E2,

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    H22: 'S3M(4Cal6lati"n $heet "r 8ap 149B2:E2,

    .22: 'S3M(4Cal6lati"n $heet "r 8ap 149J2:M2,

    N22: 'S3M(4Cal6lati"n $heet "r 8ap 149N2:/2,

    /22: 'S3M(4Cal6lati"n $heet "r 8ap 149R2:32,

    D2:D+: Green Fill ith All !"r#er$

    F2:G+: Green Fill ith All !"r#er$

    I2:J+: Green Fill ith All !"r#er$

    %2:M+: Green Fill ith All !"r#er$

    O2:P2+: Green Fill ith All !"r#er$

    R2:S+: Green Fill ith All !"r#er$

    MAXIMUM NUMBER F DMINATINS

    ;12: '/3OTIENT(S3M(+*1,*,

    NUMBER F DMINATINS THAT MUST BE P!ACED !EFT

    AE12: ';12

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    BO=

    F2: 'IF(4Map 149F55')D)*1*-,

    G2: 'IF(4Map 149E55')D)*1*-,

    H2: 'IF(4Map 149F5+')D)*1*-,

    I2: 'IF(4Map 149G55')D)*1*-,

    BO= 2

     J2: 'IF(4Map 149F55')D)*1*-,

    .2: 'IF(4Map 149G55')D)*1*-,

    %2: 'IF(4Map 149G5+')D)*1*-,

    M2: 'IF(4Map 149H55')D)*1*-,

    BO=

    N2: 'IF(4Map 149G55')D)*1*-,

    O2: 'IF(4Map 149H55')D)*1*-,

    P2: 'IF(4Map 149H5+')D)*1*-,

    /2: 'IF(4Map 149I55')D)*1*-,

    BO= 5

    R2: 'IF(4Map 149H55')D)*1*-,

    S2: 'IF(4Map 149I55')D)*1*-,

     T2: 'IF(4Map 149J55')D)*1*-,

    32: 'IF(4Map 149I5+')D)*1*-,

    BO= +

    B: 'IF(4Map 149E5+')D)*1*-,

    C: 'IF(4Map 149E55')D)*1*-,

    D: 'IF(4Map 149F5+')D)*1*-,

    E: B%AN. 

    BO= 7

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    F: 'IF(4Map 149F55')D)*1*-,

    G: 'IF(4Map 149E5+')D)*1*-,

    H: 'IF(4Map 149G5+')D)*1*-,

    I: 'IF(4Map 149F5+')D)*1*-,

    BO= &

     J: 'IF(4Map 149F5+')D)*1*-,

    .: 'IF(4Map 149G5+')D)*1*-,

    %: 'IF(4Map 149H5+')D)*1*-,

    M: 'IF(4Map 149G55')D)*1*-,

    BO= 0

    N: 'IF(4Map 149G5+')D)*1*-,

    O: 'IF(4Map 149H5+')D)*1*-,

    P: 'IF(4Map 149I5+')D)*1*-,

    /: 'IF(4Map 149H55')D)*1*-,

    BO= 1-

    R: 'IF(4Map 149H5+')D)*1*-,

    S: 'IF(4Map 149I5+')D)*1*-,

     T: 'IF(4Map 149J5+')D)*1*-,

    3: 'IF(4Map 149I55')D)*1*-,

    CA!CU!ATIN FR THE #ER!APPING #ERTICES BX

    B&: 'IF(4Map 149H22>'*1*-,

    C&: 'IF(4Map 149H22>'*1*-,

    D&: 'IF(4Map 149.22>'*1*-,?

    E&: 'IF(4Map 149N22>'*1*-,

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    F&: 'IF(4Map 149/22>'*1*-,

    B0: 'IF(4Map 149E7>'*1*-,

    C0: 'IF(4Map 149H7>'*1*-,

    D0: 'IF(4Map 149.7>'*1*-,

    E0: 'IF(4Map 149N7>'*1*-,

    F0: 'IF(4Map 149/7>'*1*-,

    CA!CU!ATIN FR THE UNDMINATED #ERTICES BX

    I&: 'IF(4Map 149E22'-*1*-,

     J&: 'IF(4Map 149H22'-*1*-,

    .&: 'IF(4Map 149.22'-*1*-,

    %&: 'IF(4Map 149N22'-*1*-,

    M&: 'IF(4Map 149/22'-*1*-,

    I0: 'IF(4Map 149E7'-*1*-,

     J0: 'IF(4Map 149H7'-*1*-,

    .0: 'IF(4Map 149.7'-*1*-,

    %0: 'IF(4Map 149N7'-*1*-,

    M0: 'IF(4Map 149/7'-*1*-,

    MAP $

    PRPSED AREAS FR THE GARBAGE BINS

    C:F: Green Fill ith All !"r#er$

    H:.: Green Fill ith All !"r#er$

    M:N: Green Fill ith All !"r#er$

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    P:/: Green Fill ith All !"r#er$

    S:3: Green Fill ith All !"r#er$

    @:=: Green Fill ith All !"r#er$

    :AC: Green Fill ith All !"r#er$

    AE:AG: Green Fill ith All !"r#er$

    B5: 'IF(OR(%5')D)*.55')D),*-*)D),

    G5: 'IF(OR(.5')D)*%55')D)*M5')D),*-*)D),

    %5: 'IF(OR(%5')D)*M55')D)*N5')D),*-*)D),

    O5: 'IF(OR(M5')D)*O5')D)*N55')D),*-*)D),

    R5: 'IF(OR(N5')D)*O55')D)*P5')D),*-*)D),

    ;5: 'IF(OR(O5')D)*/5')D)*P55')D),*-*)D),

     5: 'IF(OR(P5')D)*S5')D)*/55')D),*-*)D),

    AD5: 'IF(OR(/5')D)*S55')D),*-*)D),

    C+:F&: Green Fill ith All !"r#er$

    H+:.&: Green Fill ith All !"r#er$

    M+:N&: Green Fill ith All !"r#er$

    P+:/&: Green Fill ith All !"r#er$

    S+:3&: Green Fill ith All !"r#er$

    @+:=&: Green Fill ith All !"r#er$

    +:AC&: Green Fill ith All !"r#er$

    AE+:AG1: Green Fill ith All !"r#er$

    B0: 'IF(OR(.5')D)*%55')D)*.57')D),*-*)D),

    G0: 'IF(OR(%5')D)*.55')D)*M55')D)*%57')D),*-*)D),

    %0: 'IF(OR(M5')D)*%55')D)*N55')D)*M57')D),*-*)D),

    O0: 'IF(OR(N5')D)*M55')D)*N57')D)*O55')D),*-*)D),

    R0: 'IF(OR(O5')D)*N55')D)*P55')D)*O5+')D),*-*)D),

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    ;0: 'IF(OR(P5')D)*O55')D)*/55')D)*P5+')D),*-*)D),

     0: 'IF(OR(P55')D)*/5')D)*R55')D),*-*)D),

    AA0: 'IF(OR(/55')D)*S55')D)*R5+')D),*-*)D),

    AD0: 'IF(OR(S5')D)*R55')D)*S5+')D),*-*)D),

    C1-:F1&: Green Fill ith All !"r#er$

    H1-:.1&: Green Fill ith All !"r#er$

    M1-:N1&: Green Fill ith All !"r#er$

    P1-:/1&: Green Fill ith All !"r#er$

    S1-:31: Green Fill ith All !"r#er$

    @1-:1: Green Fill ith All !"r#er$

     AB1-:AC1: Green Fill ith All !"r#er$

    R15: 'IF(OR(O57')D)*O55')D)*P5+')D),*-*)D),

    ;15: 'IF(OR(O5+')D)*R5+')D)*P55')D)*P57')D),*-*)D),

    AA15: 'IF(OR(P5+')D)*T5+')D)*R57')D)*R55')D),*-*)D),

    AD15: 'IF(OR(S55')D)*T5+')D)*R5+')D),*-*)D),

    AF15: 'IF(OR(S5+')D)*T57')D),*-*)D),

    S1+:31&: Green Fill ith All !"r#er$

    @1+:1&: Green Fill ith All !"r#er$

    AB1+:AE1&: Green Fill ith All !"r#er$

    AG1+:AG1&: Green Fill ith All !"r#er$

    B10: 'IF(OR(.55')D)*%57')D),*-*)D),

    G10: 'IF(OR(%55')D)*.57')D)*M57')D),*-*)D),

    %10: 'IF(OR(%57')D)*N57')D)*M55')D),*-*)D),

    O10: 'IF(OR(M57')D)*N55')D)*O57')D),*-*)D),

    R10: 'IF(OR(N57')D)*O5+')D)*P57')D),*-*)D),

    ;10: 'IF(OR(O57')D)*P5+')D)*R57')D),*-*)D),

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    AA10: 'IF(OR(P57')D)*R5+')D)*T57')D),*-*)D),

    AF10: 'IF(OR(R57')D)*T5+')D),*-*)D),

    A-:AG-: Green Fill ith All !"r#er$

    INTERSECTING DMINATINS GRAPH

    C2-:F2-: Green Fill ith All !"r#er$

    H2-:.2-: Green Fill ith All !"r#er$

    M2-:N2-: Green Fill ith All !"r#er$

    P2-:/2-: Green Fill ith All !"r#er$

    S2-:32-: Green Fill ith All !"r#er$

    @2-:=2-: Green Fill ith All !"r#er$

    2-:AC2-: Green Fill ith All !"r#er$

    AE2-:AG2-: Green Fill ith All !"r#er$

    B21: 'S3M(4Cal6lati"n $heet "r Map 49C2:G2,

    G21: 'S3M(4Cal6lati"n $heet "r Map 49H2:%2,

    %21: 'S3M(4Cal6lati"n $heet "r Map 49M2:/2,

    O21: 'S3M(4Cal6lati"n $heet "r Map 49R2:;2,

    R21: 'S3M(4Cal6lati"n $heet "r Map 49@2:AA2,

    ;21: 'S3M(4Cal6lati"n $heet "r Map 49@2:AA2,

     21: 'S3M(4Cal6lati"n $heet "r Map 49AG2:A.2,

    AD21: 'S3M(4Cal6lati"n $heet "r Map 49A/2:A32,

    C2:F2: Green Fill ith All !"r#er$

    H2:.2: Green Fill ith All !"r#er$

    M2:N2: Green Fill ith All !"r#er$

    P2:/2: Green Fill ith All !"r#er$

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    S2:32: Green Fill ith All !"r#er$

    @2:=2: Green Fill ith All !"r#er$

    2:AC2: Green Fill ith All !"r#er$

    AE2:AG1: Green Fill ith All !"r#er$

    B25: 'S3M(4Cal6lati"n $heet "r Map 49C:G,

    G25: 'S3M(4Cal6lati"n $heet "r Map 49H:%,

    %25: 'S3M(4Cal6lati"n $heet "r Map 49M:/,

    O25: 'S3M(4Cal6lati"n $heet "r Map 49R:;,

    R25: 'S3M(4Cal6lati"n $heet "r Map 49@:AA,

    ;25: 'S3M(4Cal6lati"n $heet "r Map 49AB:AF,

     25: 'S3M(4Cal6lati"n $heet "r Map 49AG:A.,

    AA25: 'S3M(4Cal6lati"n $heet "r Map 49A%:AP,

    AD25: 'S3M(4Cal6lati"n $heet "r Map 49A/:A3,

    C2+:F: Green Fill ith All !"r#er$

    H2+:.: Green Fill ith All !"r#er$

    M2+:N: Green Fill ith All !"r#er$

    P2+:/: Green Fill ith All !"r#er$

    S2+:3-: Green Fill ith All !"r#er$

    @2+:-: Green Fill ith All !"r#er$

    AB2+:AC-: Green Fill ith All !"r#er$

    R1: 'S3M(4Cal6lati"n $heet "r Map 49@5:AA5,

    ;1: 'S3M(4Cal6lati"n $heet "r Map 49AB5:AF5,

    AA1: 'S3M(4Cal6lati"n $heet "r Map 49A%5:AP5,

    AD1: 'S3M(4Cal6lati"n $heet "r Map 49A/5:A35,

    AF1: 'S3M(4Cal6lati"n $heet "r Map 49A;5:A5,

    S:3: Green Fill ith All !"r#er$

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    @:: Green Fill ith All !"r#er$

    AB:AE: Green Fill ith All !"r#er$

    AG:AG: Green Fill ith All !"r#er$

    B5: 'S3M(4Cal6lati"n $heet "r Map 49C+:G+,

    G5: 'S3M(4Cal6lati"n $heet "r Map 49H+:%+,

    %5: 'S3M(4Cal6lati"n $heet "r Map 49M+:/+,

    O5: 'S3M(4Cal6lati"n $heet "r Map 49R+:;+,

    R5: 'S3M(4Cal6lati"n $heet "r Map 49@+:AA+,

    ;5: 'S3M(4Cal6lati"n $heet "r Map 49AB+:AF+,

    AA5: 'S3M(4Cal6lati"n $heet "r Map 49A%+:AP+,

    AF5: 'S3M(4Cal6lati"n $heet "r Map 49A;+:A+,

    A+:AG+: Green Fill ith All !"r#er$

    CA!CU!ATIN SHEET FR MAP $

    CA!CU!ATIN FR THE DMINATED BXES

    BO= 1

    C2: 'IF(4Map 49.5')D)*1*-,

    D2: 'IF(4Map 49%5')D)*1*-,

    E2: 'IF(4Map 49.55')D)*1*-,

    F2: B%AN. 

    G2: B%AN. 

    BO=

    H2: 'IF(4Map 49%55')D)*1*-,

    I2: 'IF(4Map 49.5')D)*1*-,

     J2: 'IF(4Map 49M5')D)*1*-,

    .2: 'IF(4Map 49%5')D)*1*-,

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    %2: B%AN. 

    BO= 2

    M2: 'IF(4Map 49M55')D)*1*-,

    N2: 'IF(4Map 49%5')D)*1*-,

    O2: 'IF(4Map 49N5')D)*1*-,

    P2: 'IF(4Map 49M5')D)*1*-,

    /2: B%AN. 

    BO=

    R2: 'IF(4Map 49M5')D)*1*-,

    S2: 'IF(4Map 49O5')D)*1*-,

     T2: 'IF(4Map 49N55')D)*1*-,

    32: 'IF(4Map 49N5')D)*1*-,

    ;2: B%AN. 

    BO= 5

    @2: 'IF(4Map 49N5')D)*1*-,

    =2: 'IF(4Map 49O55')D)*1*-,

     2: 'IF(4Map 49P5')D)*1*-,

    2: 'IF(4Map 49O5')D)*1*-,

    AA2: B%AN. 

    BO= +

    AB2: 'IF(4Map 49O5')D)*1*-,

    AC2: 'IF(4Map 49/5')D)*1*-,

    AD2: 'IF(4Map 49P55')D)*1*-,

    AE2: 'IF(4Map 49P5')D)*1*-,

    AF2: B%AN. 

    BO= 7

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    AG2: 'IF(4Map 49P5')D)*1*-,

    AH2: 'IF(4Map 49S5')D)*1*-,

    AI2: 'IF(4Map 49/55')D)*1*-,

    AJ2: 'IF(4Map 49/5')D)*1*-,

    A.2: B%AN. 

    BO= &

    A/2: 'IF(4Map 49/5')D)*1*-,

    AR2: 'IF(4Map 49S55')D)*1*-,

    AS2: 'IF(4Map 49S5')D)*1*-,

    AT2: B%AN. 

    A32: B%AN. 

    BO= 0

    C: 'IF(4Map 49.5')D)*1*-,

    D: 'IF(4Map 49%55')D)*1*-,

    E: 'IF(4Map 49.57')D)*1*-,

    F: 'IF(4Map 49.55')D)*1*-,

    G: B%AN. 

    BO= 1-

    H: 'IF(4Map 49%5')D)*1*-,

    I: 'IF(4Map 49.55')D)*1*-,

     J: 'IF(4Map 49M55')D)*1*-,

    .: 'IF(4Map 49%57')D)*1*-,

    %: 'IF(4Map 49%55')D)*1*-,

    BO= 11

    M: 'IF(4Map 49M5')D)*1*-,

    N: 'IF(4Map 49%55')D)*1*-,

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    O: 'IF(4Map 49N55')D)*1*-,

    P: 'IF(4Map 49M57')D)*1*-,

    /: 'IF(4Map 49M55')D)*1*-,

    BO= 1

    R: 'IF(4Map 49N5')D)*1*-,

    S: 'IF(4Map 49M55')D)*1*-,

     T: 'IF(4Map 49N57')D)*1*-,

    3: 'IF(4Map 49O55')D)*1*-,

    ;: 'IF(4Map 49N55')D)*1*-,

    BO= 1

    @: 'IF(4Map 49O5')D)*1*-,

    =: 'IF(4Map 49N55')D)*1*-,

     : 'IF(4Map 49O55')D)*1*-,

    : 'IF(4Map 49O55')D)*1*-,

    AA: 'IF(4Map 49O5+')D)*1*-,

    BO= 1

    AB: 'IF(4Map 49P5')D)*1*-,

    AC: 'IF(4Map 49O55')D)*1*-,

    AD: 'IF(4Map 49/55')D)*1*-,

    AE: 'IF(4Map 49P5+')D)*1*-,

    AF: 'IF(4Map 49P55')D)*1*-,

    BO= 15

    AG: 'IF(4Map 49P55')D)*1*-,

    AH: 'IF(4Map 49/5')D)*1*-,

    AI: 'IF(4Map 49R55')D)*1*-,

    AJ: 'IF(4Map 49/55')D)*1*-,

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    A.: B%AN. 

    BO= 1+

    A%: 'IF(4Map 49/55')D)*1*-,

    AM: 'IF(4Map 49S55')D)*1*-,

    AN: 'IF(4Map 49R5+')D)*1*-,

    AO: 'IF(4Map 49R55')D)*1*-,

    AP: B%AN. 

    BO= 17

    A/: 'IF(4Map 49S5')D)*1*-,

    AR: 'IF(4Map 49R55')D)*1*-,

    AS: 'IF(4Map 49S5+')D)*1*-,

    AT: 'IF(4Map 49S55')D)*1*-,

    A3: B%AN. 

    BO= 1&

    @5:

    =5:

     5:

    5:

    AA5: B%AN. 

    BO= 10

    AB5: 'IF(4Map 49O5+')D)*1*-,

    AC5: 'IF(4Map 49R5+')D)*1*-,

    AD5: 'IF(4Map 49R5+')D)*1*-,

    AE5: 'IF(4Map 49P57')D)*1*-,

    AF5: 'IF(4Map 49P5+')D)*1*-,

    BO= -

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    A%5: 'IF(4Map 49P5+')D)*1*-,

    AM5: 'IF(4Map 49T5+')D)*1*-,

    AN5: 'IF(4Map 49R57')D)*1*-,

    AO5: 'IF(4Map 49R55')D)*1*-,

    AP5: 'IF(4Map 49R5+')D)*1*-,

    BO= 1

    A/5: 'IF(4Map 49S55')D)*1*-,

    AR5: 'IF(4Map 49T5+')D)*1*-,

    AS5: 'IF(4Map 49R5+')D)*1*-,

    AT5: 'IF(4Map 49S5+')D)*1*-,

    A35: B%AN. 

    BO=

    A;5: 'IF(4Map 49S5+')D)*1*-,

    A@5: 'IF(4Map 49T57')D)*1*-,

    A=5: 'IF(4Map 49T5+')D)*1*-,

    A5: B%AN. 

    A5: B%AN. 

    BO= 2

    C+: 'IF(4Map 49.55')D)*1*-,

    D+: 'IF(4Map 49%57')D)*1*-,

    E+: 'IF(4Map 49.57')D)*1*-,

    F+: B%AN. 

    G+: B%AN. 

    BO=

    H+: 'IF(4Map 49%55')D)*1*-,

    I+: 'IF(4Map 49.57')D)*1*-,

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     J+: 'IF(4Map 49M57')D)*1*-,

    .+: 'IF(4Map 49%57')D)*1*-,

    %+: B%AN. 

    BO= 5

    M+: 'IF(4Map 49%57')D)*1*-,

    N+: 'IF(4Map 49N57')D)*1*-,

    O+: 'IF(4Map 49M55')D)*1*-,

    P+: 'IF(4Map 49M57')D)*1*-,

    /+: B%AN. 

    BO= +

    R+: 'IF(4Map 49M57')D)*1*-,

    S+: 'IF(4Map 49N55')D)*1*-,

     T+: 'IF(4Map 49O57')D)*1*-,

    3+: 'IF(4Map 49N57')D)*1*-,

    ;+: B%AN. 

    BO= 7

    @+: 'IF(4Map 49N57')D)*1*-,

    =+: 'IF(4Map 49O5+')D)*1*-,

     +: 'IF(4Map 49P57')D)*1*-,

    +: 'IF(4Map 49O57')D)*1*-,

    AA+: B%AN. 

    BO= &

    AB+: 'IF(4Map 49O57')D)*1*-,

    AC+: 'IF(4Map 49P5+')D)*1*-,

    AD+: 'IF(4Map 49R57')D)*1*-,

    AE+: 'IF(4Map 49P57')D)*1*-,

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    AF+: B%AN. 

    BO= 0

    A%+: 'IF(4Map 49P57')D)*1*-,

    AM+: 'IF(4Map 49R5+')D)*1*-,

    AN+: 'IF(4Map 49T57')D)*1*-,

    AO+: 'IF(4Map 49R57')D)*1*-,

    AP+: B%AN. 

    BO= 2-

    A;+: 'IF(4Map 49R57')D)*1*-,

    A@+: 'IF(4Map 49T5+')D)*1*-,

    A=+: 'IF(4Map 49T57')D)*1*-,

    A+: B%AN. 

    A+: B%AN. 

    CA!CU!ATIN FR THE #ER!APPING #ERTICES BX

    C1-: 'IF(4Map 49B21>'*1*-,

    D1-: 'IF(4Map 49G21>'*1*-,

    E1-: 'IF(4Map 49%21>'*1*-,

    F1-: 'IF(4Map 49O21>'*1*-,

    G1-: 'IF(4Map 49R21>'*1*-,

    H1-: 'IF(4Map 49;21>'*1*-,

    I1-: 'IF(4Map 4921>'*1*-,

    .1-: 'IF(4Map 49AD21>'*1*-,

    C11: 'IF(4Map 49B25>'*1*-,

    D11: 'IF(4Map 49G25>'*1*-,

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    E11: 'IF(4Map 49%25>'*1*-,

    F11: 'IF(4Map 49O25>'*1*-,

    G11: 'IF(4Map 49R25>'*1*-,

    H11: 'IF(4Map 49;25>'*1*-,

    I11: 'IF(4Map 4925>'*1*-,

     J11: 'IF(4Map 49AA25>'*1*-,

    .11: 'IF(4Map 49AD25>'*1*-,

    G1: 'IF(4Map 49R1>'*1*-,

    H1: 'IF(4Map 49;1>'*1*-,

     J1: 'IF(4Map 49AA1>'*1*-,

    .1: 'IF(4Map 49AD1>'*1*-,

    %1: 'IF(4Map 49AF1>'*1*-,

    C12: 'IF(4Map 49B5>'*1*-,

    D12: 'IF(4Map 49G5>'*1*-,

    E12: 'IF(4Map 49%5>'*1*-,

    F12: 'IF(4Map 49O5>'*1*-,

    G12: 'IF(4Map 49O5>'*1*-,

    H12: 'IF(4Map 49;5>'*1*-,

     J12: 'IF(4Map 49AA5>'*1*-,

    %12: B%AN. 

    CA!CU!ATIN FR THE UNDMINATED #ERTICES BX

    O1-: 'IF(4Map 49B21'-*1*-,

    P1-: 'IF(4Map 49G21'-*1*-,

    /1-: 'IF(4Map 49%21'-*1*-,

    R1-: 'IF(4Map 49O21'-*1*-,

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    S1-: 'IF(4Map 49R21'-*1*-,

     T1-: 'IF(4Map 49;21'-*1*-,

    31-: 'IF(4Map 4921'-*1*-,

    @1-: 'IF(4Map 49AD21'-*1*-,

    O11: 'IF(4Map 49B25'-*1*-,

    P11: 'IF(4Map 49G25'-*1*-,

    /11: 'IF(4Map 49%25'-*1*-,

    R11: 'IF(4Map 49O25'-*1*-,

    S11: 'IF(4Map 49R25'-*1*-,

     T11: 'IF(4Map 49;25'-*1*-,

    311: 'IF(4Map 4925'-*1*-,

    ;11: 'IF(4Map 49AA25'-*1*-,

    @11: 'IF(4Map 49AD25'-*1*-,

    S1: 'IF(4Map 49R1'-*1*-,

     T1: 'IF(4Map 49;1'-*1*-,

    ;1: 'IF(4Map 49AA1'-*1*-,

    @1: 'IF(4Map 49AD1'-*1*-,

    =1: 'IF(4Map 49AF1'-*1*-,

    -12: 'IF(4Map 49B5'-*1*-,

    P12: 'IF(4Map 49G5'-*1*-,

    /12: 'IF(4Map 49%5'-*1*-,

    R12: 'IF(4Map 49O5'-*1*-,

    S12: 'IF(4Map 49R5'-*1*-,

     T12: 'IF(4Map 49;5'-*1*-,

    ;12: 'IF(4Map 49AA5'-*1*-,

    =12: 'IF(4Map 49AF5'-*1*-,

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    MAP %

    PRPSED AREAS FR THE GARBAGE BINS

    C2:T2: Green Fill ith all !"r#er$

    C:C1+: Green Fill ith all !"r#er$

     T:T1+: Green Fill ith all !"r#er$

    C17:T17: Green Fill ith all !"r#er$

    E5:F7: Green Fill ith all !"r#er$

    H5:I7: Green Fill ith all !"r#er$

    .5:%7: Green Fill ith all !"r#er$

    N5:O7: Green Fill ith all !"r#er$

    /5:R7: Green Fill ith all !"r#er$

    E0:F11: Green Fill ith all !"r#er$

    H0:I11: Green Fill ith all !"r#er$

    .0:%11: Green Fill ith all !"r#er$

    N0:O0: Green Fill ith all !"r#er$

    /0:R11: Green Fill ith all !"r#er$

    E12:F15: Green Fill ith all !"r#er$

    H12:15: Green Fill ith all !"r#er$

    .12:%15: Green Fill ith all !"r#er$

    N12:O15: Green Fill ith all !"r#er$

    /12:R15: Green Fill ith all !"r#er$

    D: 'IF(OR(/52')D)*R5')D),*-*)D),

    G: 'IF(OR(/5')D)*R52')D)*S5')D),*-*)D),

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     J: 'IF(OR(R5')D)*T5')D)*S52')D),*-*)D),

    M: 'IF(OR(S5')D)*35')D)*T52')D),*-*)D),

    P: 'IF(OR(352')D)*T5')D)*;5')D),*-*)D),

    S: 'IF(OR(35')D)*;52')D),*-*)D),

    D&: 'IF(OR(/5')D)*/5')D)*R52')D),*-*)D),

    G&: 'IF(OR(R5')D)*/52')D)*S52')D)*R5')D),*-*)D),

     J&: 'IF(OR(S5')D)*R52')D)*S5')D)*T52')D),*-*)D),

    M&: 'IF(OR(S52')D)*T5')D)*352')D)*T5')D),*-*)D),

    P&: 'IF(OR(35')D)*35')D)*;52')D)*T52')D),*-*)D),

    S&: 'IF(OR(;5')D)*352')D)*;5')D),*-*)D),

    D1: 'IF(OR(/55')D)*R5')D)*/52')D),*-*)D),

    G1: 'IF(OR(/5')D)*R55')D)*S5')D)*R52')D),*-*)D),

     J1: 'IF(OR(R5')D)*S55')D)*T5')D)*S52')D),*-*)D),

    M1: 'IF(OR(T55')D)*S5')D)*35')D)*T52')D),*-*)D),

    P1: 'IF(OR(T5')D)*;5')D)*352')D)*355')D),*-*)D),

    S1: 'IF(OR(;52')D)*;55')D)*35')D),*-*)D),

    D1+: 'IF(OR(R55')D)*/5')D),*-*)D),

    G1+: 'IF(OR(/55')D)*S55')D)*R5')D),*-*)D),

     J1+: 'IF(OR(R55')D)*T55')D)*S5')D),*-*)D),

    M1+: 'IF(OR(S55')D)*355')D)*T5')D),*-*)D),

    P1+: 'IF(OR(T55')D)*;55')D)*35')D),*-*)D),

    S1+: 'IF(OR(;5')D)*355')D),*-*)D),

    INTERSECTING DMINATINS GRAPH

    @: 'S3M(4Cal6lati"n "r Map 249B2:F2,

    : 'S3M(4Cal6lati"n "r Map 249G2:.2,

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    AC: 'S3M(4Cal6lati"n "r Map 249%2:P2,

    AF: 'S3M(4Cal6lati"n "r Map 249/2:32,

    AI: 'S3M(4Cal6lati"n "r Map 249;2:2,

    A%: 'S3M(4Cal6lati"n "r Map 249AA2:AE2,

    @&: 'S3M(4Cal6lati"n "r Map 249B:F,

    &: 'S3M(4Cal6lati"n "r Map 249G:.,

    AC&: 'S3M(4Cal6lati"n "r Map 249%:P,

    AF&: 'S3M(4Cal6lati"n "r Map 249/:3,

    AI&: 'S3M(4Cal6lati"n "r Map 249;:,

    A%&: 'S3M(4Cal6lati"n "r Map 249AA:AE,

    @1: 'S3M(4Cal6lati"n "r Map 249B5:F5,

    1: 'S3M(4Cal6lati"n "r Map 249G5:.5,

    AC1: 'S3M(4Cal6lati"n "r Map 249%5:P5,

    AF1: 'S3M(4Cal6lati"n "r Map 249/5:35,

    AI1: 'S3M(4Cal6lati"n "r Map 249;5:5,

    A%1: 'S3M(4Cal6lati"n "r Map 249AA5:AE5,

    @1+: 'S3M(4Cal6lati"n "r Map 249B+:F+,

    1+: 'S3M(4Cal6lati"n "r Map 249G+:.+,

    AC1+: 'S3M(4Cal6lati"n "r Map 249%+:P+,

    AF1+: 'S3M(4Cal6lati"n "r Map 249/+:3+,

    AI1+: 'S3M(4Cal6lati"n "r Map 249;+:+,

    A%1+: 'S3M(4Cal6lati"n "r Map 249AA+:AE+,

    MAXIMUM NUMBER F DMINATINS

    E0: 'S3M(+*1,

    NUMBER F DMINATINS THAT MUST BE P!ACED !EFT

    'E0

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    NUMBER F #ER!APPING EDGES

    'S3M(4Cal6lati"n "r Map 249C1-:H12,

    NUMBER F UNDMINATED #ERTICES

    'S3M(4Cal6lati"n "r Map 249J1-:O12,

    CA!CU!ATIN FR MAP %

    CA!CU!ATIN FR THE DMINATED BXES

    BO= 1

    B2: 'IF(4Map 249/5')D)*1*-,

    C2: 'IF(4Map 249R5')D)*1*-,

    D2: 'IF(4Map 249/52')D)*1*-,

    E2: B%AN. 

    F2: B%AN. 

    BO=

    G2: 'IF(4Map 249R5')D)*1*-,

    H2: 'IF(4Map 249/5')D)*1*-,

    I2: 'IF(4Map 249S5')D)*1*-,

     J2: 'IF(4Map 249R52')D)*1*-,

    .2: B%AN. 

    BO= 2

    %2: 'IF(4Map 249R5')D)*1*-,

    M2: 'IF(4Map 249S5')D)*1*-,

    N2: 'IF(4Map 249T5')D)*1*-,

    O2: 'IF(4Map 249S52')D)*1*-,

    P2: B%AN. 

    BO=

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    /2: 'IF(4Map 249S5')D)*1*-,

    R2: 'IF(4Map 249T5')D)*1*-,

    S2: 'IF(4Map 24935')D)*1*-,

     T2: 'IF(4Map 249T52')D)*1*-,

    32: B%AN. 

    BO= 5

    ;2: 'IF(4Map 249T5')D)*1*-,

    @2: 'IF(4Map 24935')D)*1*-,

    =2: 'IF(4Map 249;5')D)*1*-,

     2: 'IF(4Map 249352')D)*1*-,

    2: B%AN. 

    BO= +

    AA2: 'IF(4Map 24935')D)*1*-,

    AB2: 'IF(4Map 249;5')D)*1*-,

    AC2: 'IF(4Map 249;52')D)*1*-,

    AD2: B%AN. 

    AE2: B%AN. 

    BO= 7

    B: 'IF(4Map 249/52')D)*1*-,

    C: 'IF(4Map 249R52')D)*1*-,

    D: 'IF(4Map 249/5')D)*1*-,

    E: 'IF(4Map 249/5')D)*1*-,

    F: B%AN. 

    BO= &

    G: 'IF(4Map 249R52')D)*1*-,

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    H: 'IF(4Map 249/52')D)*1*-,

    I: 'IF(4Map 249S52')D)*1*-,

     J: 'IF(4Map 249R5')D)*1*-,

    .: 'IF(4Map 249R5')D)*1*-,

    BO= 0

    %: 'IF(4Map 249S52')D)*1*-,

    M: 'IF(4Map 249R52')D)*1*-,

    N: 'IF(4Map 249T52')D)*1*-,

    O: 'IF(4Map 249S5')D)*1*-,

    P: 'IF(4Map 249S5')D)*1*-,

    BO= 1-

    /: 'IF(4Map 249T52')D)*1*-,

    R: 'IF(4Map 249S52')D)*1*-,

    S: 'IF(4Map 249352')D)*1*-,

     T: 'IF(4Map 249T5')D)*1*-,

    3: 'IF(4Map 249T5')D)*1*-,

    BO= 11

    ;: 'IF(4Map 249352')D)*1*-,

    @: 'IF(4Map 249T52')D)*1*-,

    =: 'IF(4Map 249;52')D)*1*-,

     : 'IF(4Map 24935')D)*1*-,

    : 'IF(4Map 24935')D)*1*-,

    BO= 1

    AA: 'IF(4Map 249352')D)*1*-,

    AB: 'IF(4Map 249;52')D)*1*-,

    AC: 'IF(4Map 249;5')D)*1*-,

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    AD: 'IF(4Map 249;5')D)*1*-,

    AE: B%AN. 

    BO= 12

    B5: 'IF(4Map 249/5')D)*1*-,

    C5: 'IF(4Map 249R5')D)*1*-,

    D5: 'IF(4Map 249/52')D)*1*-,

    E5: 'IF(4Map 249/55')D)*1*-,

    F5: B%AN. 

    BO= 1

    G5: 'IF(4Map 249R5')D)*1*-,

    H5: 'IF(4Map 249/5')D)*1*-,

    I5: 'IF(4Map 249S5')D)*1*-,

     J5: 'IF(4Map 249R55')D)*1*-,

    .5: 'IF(4Map 249R55')D)*1*-,

    BO= 1+

    %5: 'IF(4Map 249S5')D)*1*-,

    M5: 'IF(4Map 249R5')D)*1*-,

    N5: 'IF(4Map 249T5')D)*1*-,

    O5: 'IF(4Map 249S55')D)*1*-,

    P5: 'IF(4Map 249S52')D)*1*-,

    BO= 17

    /5: 'IF(4Map 249T5')D)*1*-,

    R5: 'IF(4Map 249S5')D)*1*-,

    S5: 'IF(4Map 24935')D)*1*-,

     T5: 'IF(4Map 249T55')D)*1*-,

    35: 'IF(4Map 249T52')D)*1*-,

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    BO= 1&

    ;5: 'IF(4Map 24935')D)*1*-,

    @5: 'IF(4Map 249T5')D)*1*-,

    =5: 'IF(4Map 249;5')D)*1*-,

     5: 'IF(4Map 249355')D)*1*-,

    5: 'IF(4Map 249352')D)*1*-,

    BO= 10

    AA5: 'IF(4Map 249;5')D)*1*-,

    AB5: 'IF(4Map 24935')D)*1*-,

    AC5: 'IF(4Map 249;52')D)*1*-,

    AD5: 'IF(4Map 249;55')D)*1*-,

    AE5: B%AN. 

    BO= -

    B+: 'IF(4Map 249/55')D)*1*-,

    C+: 'IF(4Map 249R55')D)*1*-,

    D+: 'IF(4Map 249/5')D)*1*-,

    E+: B%AN. 

    F+: B%AN. 

    BO= 1

    G+: 'IF(4Map 249R55')D)*1*-,

    H+: 'IF(4Map 249/55')D)*1*-,

    I+: 'IF(4Map 249S55')D)*1*-,

     J+: 'IF(4Map 249R5')D)*1*-,

    .+: B%AN. 

    BO=

    %+: 'IF(4Map 249S55')D)*1*-,

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    M+: 'IF(4Map 249R55')D)*1*-,

    N+: 'IF(4Map 249T55')D)*1*-,

    O+: 'IF(4Map 249S5')D)*1*-,

    P+: B%AN. 

    BO= 2

    /+: 'IF(4Map 249S55')D)*1*-,

    R+: 'IF(4Map 249T55')D)*1*-,

    S+: 'IF(4Map 249355')D)*1*-,

     T+: 'IF(4Map 249T5')D)*1*-,

    3+: B%AN. 

    BO=

    ;+: 'IF(4Map 249T55')D)*1*-,

    @+: 'IF(4Map 249355')D)*1*-,

    =+: 'IF(4Map 249;55')D)*1*-,

     +: 'IF(4Map 24935')D)*1*-,

    +: B%AN. 

    BO= 5

    AA+: 'IF(4Map 249;55')D)*1*-,

    AB+: 'IF(4Map 249355')D)*1*-,

    AC+: 'IF(4Map 249;5')D)*1*-,

    AD+: B%AN. 

    AE+: B%AN. 

    CA!CU!ATIN FR THE #ER!APPING #ERTICES BX

    C1-: 'IF(4Map 249@>'*1*-,

    D1-: 'IF(4Map 249>'*1*-,

    E1-: 'IF(4Map 249AC>'*1*-,

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    F1-: 'IF(4Map 249AF>'*1*-,

    G1-: 'IF(4Map 249AI>'*1*-,

    H1-: 'IF(4Map 249A%>'*1*-,

    C11: 'IF(4Map 249@&>'*1*-,

    D11: 'IF(4Map 249&>'*1*-,

    E11: 'IF(4Map 249AC&>'*1*-,

    F11: 'IF(4Map 249AF&>'*1*-,

    G11: 'IF(4Map 249AI&>'*1*-,

    H11: 'IF(4Map 249A%&>'*1*-,

    C1: 'IF(4Map 249@1>'*1*-,

    D1: 'IF(4Map 2491>'*1*-,

    E1: 'IF(4Map 249AC1>'*1*-,

    F1: 'IF(4Map 249AF1>'*1*-,

    G1: 'IF(4Map 249AI1>'*1*-,

    H1: 'IF(4Map 249A%1>'*1*-,

    C12: 'IF(4Map 249@1+>'*1*-,

    D12: 'IF(4Map 2491+>'*1*-,

    E12: 'IF(4Map 249AC1+>'*1*-,

    F12: 'IF(4Map 249AF1+>'*1*-,

    G12: 'IF(4Map 249AI1+>'*1*-,

    H12: 'IF(4Map 249A%1+>'*1*-,

    CA!CU!ATIN FR THE UNDMINATED #ERTICES BX

     J1-: 'IF(4Map 249@'-*1*-,

    .1-: 'IF(4Map 249'-*1*-,

    %1-: 'IF(4Map 249AC'-*1*-,

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    M1-: 'IF(4Map 249AF'-*1*-,

    N1-: 'IF(4Map 249AI'-*1*-,

    O1-: 'IF(4Map 249A%'-*1*-,

     J11: 'IF(4Map 249@&'-*1*-,

    .11: 'IF(4Map 249&'-*1*-,

    %11: 'IF(4Map 249AC&'-*1*-,

    M11: 'IF(4Map 249AF&'-*1*-,

    N11: 'IF(4Map 249AI&'-*1*-,

    O11: 'IF(4Map 249A%&'-*1*-,

     J1: 'IF(4Map 249@1'-*1*-,

    .1: 'IF(4Map 2491'-*1*-,

    %1: 'IF(4Map 249AC1'-*1*-,

    M1: 'IF(4Map 249AF1'-*1*-,

    N1: 'IF(4Map 249AI1'-*1*-,

    O1: 'IF(4Map 249A%1'-*1*-,

     J12: 'IF(4Map 249@1+'-*1*-,

    .12: 'IF(4Map 2491+'-*1*-,

    %12: 'IF(4Map 249AC1+'-*1*-,

    M12: 'IF(4Map 249AF1+'-*1*-,

    N12: 'IF(4Map 249AI1+'-*1*-,

    O12: 'IF(4Map 249A%1+'-*1*-,