https://github.com/utsa-saga/vc8proof
Tip revision: 52131426de87132b36be1b1c0236a3b9c19bc5c8 authored by utsa-saga on 20 February 2021, 19:45:25 UTC
Create colored code.rtf
Create colored code.rtf
Tip revision: 5213142
colored code.rtf
{\rtf1\adeflang1025\ansi\ansicpg1252\uc2\adeff0\deff0\stshfdbch31505\stshfloch31506\stshfhich31506\stshfbi0\deflang1033\deflangfe2052\themelang1033\themelangfe0\themelangcs0{\fonttbl{\f0\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}{\f2\fbidi \fmodern\fcharset0\fprq1{\*\panose 02070309020205020404}Courier New;}
{\f34\fbidi \froman\fcharset0\fprq2{\*\panose 02040503050406030204}Cambria Math;}{\f37\fbidi \fswiss\fcharset0\fprq2{\*\panose 020f0502020204030204}Calibri;}{\f44\fbidi \fmodern\fcharset0\fprq1{\*\panose 020b0609020204030204}Consolas;}
{\flomajor\f31500\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}{\fdbmajor\f31501\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}
{\fhimajor\f31502\fbidi \fswiss\fcharset0\fprq2{\*\panose 020f0302020204030204}Calibri Light;}{\fbimajor\f31503\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}
{\flominor\f31504\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}{\fdbminor\f31505\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}
{\fhiminor\f31506\fbidi \fswiss\fcharset0\fprq2{\*\panose 020f0502020204030204}Calibri;}{\fbiminor\f31507\fbidi \froman\fcharset0\fprq2{\*\panose 02020603050405020304}Times New Roman;}{\f508\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}
{\f509\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}{\f511\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\f512\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}{\f513\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}
{\f514\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\f515\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}{\f516\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}{\f528\fbidi \fmodern\fcharset238\fprq1 Courier New CE;}
{\f529\fbidi \fmodern\fcharset204\fprq1 Courier New Cyr;}{\f531\fbidi \fmodern\fcharset161\fprq1 Courier New Greek;}{\f532\fbidi \fmodern\fcharset162\fprq1 Courier New Tur;}{\f533\fbidi \fmodern\fcharset177\fprq1 Courier New (Hebrew);}
{\f534\fbidi \fmodern\fcharset178\fprq1 Courier New (Arabic);}{\f535\fbidi \fmodern\fcharset186\fprq1 Courier New Baltic;}{\f536\fbidi \fmodern\fcharset163\fprq1 Courier New (Vietnamese);}{\f848\fbidi \froman\fcharset238\fprq2 Cambria Math CE;}
{\f849\fbidi \froman\fcharset204\fprq2 Cambria Math Cyr;}{\f851\fbidi \froman\fcharset161\fprq2 Cambria Math Greek;}{\f852\fbidi \froman\fcharset162\fprq2 Cambria Math Tur;}{\f855\fbidi \froman\fcharset186\fprq2 Cambria Math Baltic;}
{\f856\fbidi \froman\fcharset163\fprq2 Cambria Math (Vietnamese);}{\f878\fbidi \fswiss\fcharset238\fprq2 Calibri CE;}{\f879\fbidi \fswiss\fcharset204\fprq2 Calibri Cyr;}{\f881\fbidi \fswiss\fcharset161\fprq2 Calibri Greek;}
{\f882\fbidi \fswiss\fcharset162\fprq2 Calibri Tur;}{\f883\fbidi \fswiss\fcharset177\fprq2 Calibri (Hebrew);}{\f884\fbidi \fswiss\fcharset178\fprq2 Calibri (Arabic);}{\f885\fbidi \fswiss\fcharset186\fprq2 Calibri Baltic;}
{\f886\fbidi \fswiss\fcharset163\fprq2 Calibri (Vietnamese);}{\f948\fbidi \fmodern\fcharset238\fprq1 Consolas CE;}{\f949\fbidi \fmodern\fcharset204\fprq1 Consolas Cyr;}{\f951\fbidi \fmodern\fcharset161\fprq1 Consolas Greek;}
{\f952\fbidi \fmodern\fcharset162\fprq1 Consolas Tur;}{\f955\fbidi \fmodern\fcharset186\fprq1 Consolas Baltic;}{\f956\fbidi \fmodern\fcharset163\fprq1 Consolas (Vietnamese);}{\flomajor\f31508\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}
{\flomajor\f31509\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}{\flomajor\f31511\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\flomajor\f31512\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}
{\flomajor\f31513\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}{\flomajor\f31514\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\flomajor\f31515\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}
{\flomajor\f31516\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}{\fdbmajor\f31518\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}{\fdbmajor\f31519\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}
{\fdbmajor\f31521\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\fdbmajor\f31522\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}{\fdbmajor\f31523\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}
{\fdbmajor\f31524\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\fdbmajor\f31525\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}{\fdbmajor\f31526\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}
{\fhimajor\f31528\fbidi \fswiss\fcharset238\fprq2 Calibri Light CE;}{\fhimajor\f31529\fbidi \fswiss\fcharset204\fprq2 Calibri Light Cyr;}{\fhimajor\f31531\fbidi \fswiss\fcharset161\fprq2 Calibri Light Greek;}
{\fhimajor\f31532\fbidi \fswiss\fcharset162\fprq2 Calibri Light Tur;}{\fhimajor\f31533\fbidi \fswiss\fcharset177\fprq2 Calibri Light (Hebrew);}{\fhimajor\f31534\fbidi \fswiss\fcharset178\fprq2 Calibri Light (Arabic);}
{\fhimajor\f31535\fbidi \fswiss\fcharset186\fprq2 Calibri Light Baltic;}{\fhimajor\f31536\fbidi \fswiss\fcharset163\fprq2 Calibri Light (Vietnamese);}{\fbimajor\f31538\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}
{\fbimajor\f31539\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}{\fbimajor\f31541\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\fbimajor\f31542\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}
{\fbimajor\f31543\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}{\fbimajor\f31544\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\fbimajor\f31545\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}
{\fbimajor\f31546\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}{\flominor\f31548\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}{\flominor\f31549\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}
{\flominor\f31551\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\flominor\f31552\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}{\flominor\f31553\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}
{\flominor\f31554\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\flominor\f31555\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}{\flominor\f31556\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}
{\fdbminor\f31558\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}{\fdbminor\f31559\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}{\fdbminor\f31561\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}
{\fdbminor\f31562\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}{\fdbminor\f31563\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}{\fdbminor\f31564\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}
{\fdbminor\f31565\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}{\fdbminor\f31566\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}{\fhiminor\f31568\fbidi \fswiss\fcharset238\fprq2 Calibri CE;}
{\fhiminor\f31569\fbidi \fswiss\fcharset204\fprq2 Calibri Cyr;}{\fhiminor\f31571\fbidi \fswiss\fcharset161\fprq2 Calibri Greek;}{\fhiminor\f31572\fbidi \fswiss\fcharset162\fprq2 Calibri Tur;}
{\fhiminor\f31573\fbidi \fswiss\fcharset177\fprq2 Calibri (Hebrew);}{\fhiminor\f31574\fbidi \fswiss\fcharset178\fprq2 Calibri (Arabic);}{\fhiminor\f31575\fbidi \fswiss\fcharset186\fprq2 Calibri Baltic;}
{\fhiminor\f31576\fbidi \fswiss\fcharset163\fprq2 Calibri (Vietnamese);}{\fbiminor\f31578\fbidi \froman\fcharset238\fprq2 Times New Roman CE;}{\fbiminor\f31579\fbidi \froman\fcharset204\fprq2 Times New Roman Cyr;}
{\fbiminor\f31581\fbidi \froman\fcharset161\fprq2 Times New Roman Greek;}{\fbiminor\f31582\fbidi \froman\fcharset162\fprq2 Times New Roman Tur;}{\fbiminor\f31583\fbidi \froman\fcharset177\fprq2 Times New Roman (Hebrew);}
{\fbiminor\f31584\fbidi \froman\fcharset178\fprq2 Times New Roman (Arabic);}{\fbiminor\f31585\fbidi \froman\fcharset186\fprq2 Times New Roman Baltic;}{\fbiminor\f31586\fbidi \froman\fcharset163\fprq2 Times New Roman (Vietnamese);}}
{\colortbl;\red0\green0\blue0;\red0\green0\blue255;\red0\green255\blue255;\red0\green255\blue0;\red255\green0\blue255;\red255\green0\blue0;\red255\green255\blue0;\red255\green255\blue255;\red0\green0\blue128;\red0\green128\blue128;\red0\green128\blue0;
\red128\green0\blue128;\red128\green0\blue0;\red128\green128\blue0;\red128\green128\blue128;\red192\green192\blue192;\red0\green0\blue0;\red0\green0\blue0;\caccentfour\ctint255\cshade255\red255\green192\blue0;\red102\green255\blue102;
\red204\green204\blue255;\red204\green255\blue204;\red255\green153\blue153;\red255\green255\blue204;\red255\green204\blue204;}{\*\defchp \fs22\loch\af31506\hich\af31506\dbch\af31505 }{\*\defpap \ql \li0\ri0\sa160\sl259\slmult1
\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 }\noqfpromote {\stylesheet{\ql \li0\ri0\sa160\sl259\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0
\fs22\lang1033\langfe2052\loch\f31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 \snext0 \sqformat \spriority0 Normal;}{\*\cs10 \additive \ssemihidden \sunhideused \spriority1 Default Paragraph Font;}{\*
\ts11\tsrowd\trftsWidthB3\trpaddl108\trpaddr108\trpaddfl3\trpaddft3\trpaddfb3\trpaddfr3\trcbpat1\trcfpat1\tblind0\tblindtype3\tsvertalt\tsbrdrt\tsbrdrl\tsbrdrb\tsbrdrr\tsbrdrdgl\tsbrdrdgr\tsbrdrh\tsbrdrv \ql \li0\ri0\sa160\sl259\slmult1
\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \fs22\lang1033\langfe2052\loch\f31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 \snext11 \ssemihidden \sunhideused
Normal Table;}{\s15\ql \li0\ri0\sa160\sl259\slmult1\widctlpar\tqc\tx4320\tqr\tx8640\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0
\fs22\lang1033\langfe2052\loch\f31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 \sbasedon0 \snext15 \slink16 \sunhideused \styrsid9661541 header;}{\*\cs16 \additive \rtlch\fcs1 \af0 \ltrch\fcs0 \sbasedon10 \slink15 \slocked \styrsid9661541
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\fs22\lang1033\langfe2052\loch\f31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 \sbasedon0 \snext17 \slink18 \sunhideused \styrsid9661541 footer;}{\*\cs18 \additive \rtlch\fcs1 \af0 \ltrch\fcs0 \sbasedon10 \slink17 \slocked \styrsid9661541
Footer Char;}{\s19\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 \rtlch\fcs1 \af2\afs20\alang1025
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\sbasedon10 \slink19 \slocked \ssemihidden \styrsid9661541 HTML Preformatted Char;}}{\*\pgptbl {\pgp\ipgp0\itap0\li0\ri0\sb0\sa0}}{\*\rsidtbl \rsid940104\rsid2970678\rsid9661541\rsid9901417\rsid16718198}{\mmathPr\mmathFont34\mbrkBin0\mbrkBinSub0
\msmallFrac0\mdispDef1\mlMargin0\mrMargin0\mdefJc1\mwrapIndent1440\mintLim0\mnaryLim1}{\info{\operator Zhongxiu Yang}{\creatim\yr2021\mo2\dy20\hr13\min38}{\revtim\yr2021\mo2\dy20\hr13\min44}{\version4}{\edmins6}{\nofpages9}{\nofwords3942}{\nofchars22470}
{\nofcharsws26360}{\vern17}}{\*\xmlnstbl {\xmlns1 http://schemas.microsoft.com/office/word/2003/wordml}}\paperw12240\paperh15840\margl1800\margr1800\margt1440\margb1440\gutter0\ltrsect
\widowctrl\ftnbj\aenddoc\trackmoves0\trackformatting1\donotembedsysfont0\relyonvml0\donotembedlingdata1\grfdocevents0\validatexml0\showplaceholdtext0\ignoremixedcontent0\saveinvalidxml0\showxmlerrors0\horzdoc\dghspace120\dgvspace120\dghorigin1701
\dgvorigin1984\dghshow0\dgvshow3\jcompress\viewkind1\viewscale160\rsidroot9661541 \fet0{\*\wgrffmtfilter 2450}\ilfomacatclnup0{\*\ftnsep \ltrpar \pard\plain \ltrpar
\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0 \fs22\lang1033\langfe2052\loch\af31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 {\rtlch\fcs1
\af0 \ltrch\fcs0 \insrsid9901417 \chftnsep
\par }}{\*\ftnsepc \ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0
\fs22\lang1033\langfe2052\loch\af31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9901417 \chftnsepc
\par }}{\*\aftnsep \ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0
\fs22\lang1033\langfe2052\loch\af31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 {\rtlch\fcs1 \af0 \ltrch\fcs0 \insrsid9901417 \chftnsep
\par }}{\*\aftnsepc \ltrpar \pard\plain \ltrpar\ql \li0\ri0\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 \rtlch\fcs1 \af0\afs22\alang1025 \ltrch\fcs0
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\par }}\ltrpar \sectd \ltrsect\linex0\sectdefaultcl\sftnbj {\*\pnseclvl1\pnucrm\pnstart1\pnindent720\pnhang {\pntxta \hich .}}{\*\pnseclvl2\pnucltr\pnstart1\pnindent720\pnhang {\pntxta \hich .}}{\*\pnseclvl3\pndec\pnstart1\pnindent720\pnhang {\pntxta \hich .}}
{\*\pnseclvl4\pnlcltr\pnstart1\pnindent720\pnhang {\pntxta \hich )}}{\*\pnseclvl5\pndec\pnstart1\pnindent720\pnhang {\pntxtb \hich (}{\pntxta \hich )}}{\*\pnseclvl6\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb \hich (}{\pntxta \hich )}}{\*\pnseclvl7
\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb \hich (}{\pntxta \hich )}}{\*\pnseclvl8\pnlcltr\pnstart1\pnindent720\pnhang {\pntxtb \hich (}{\pntxta \hich )}}{\*\pnseclvl9\pnlcrm\pnstart1\pnindent720\pnhang {\pntxtb \hich (}{\pntxta \hich )}}
\pard\plain \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 \rtlch\fcs1
\af0\afs22\alang1025 \ltrch\fcs0 \fs22\lang1033\langfe2052\loch\af31506\hich\af31506\dbch\af31505\cgrid\langnp1033\langfenp2052 {\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44
bool isNotRealizable(vector<string> *currentPoints, int caseNumber)\{
\par \hich\af44\dbch\af31505\loch\f44 ofstream output;
\par \hich\af44\dbch\af31505\loch\f44 if(caseNumber != 0)\{
\par \hich\af44\dbch\af31505\loch\f44 string fn = "output" + to_string(caseNumber) + ".txt";
\par \hich\af44\dbch\af31505\loch\f44 output.open(fn);
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<(*currentPoints).size(); i++)
\par \hich\af44\dbch\af31505\loch\f44 output << (*currentPoints)[i] << endl;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 vector<int> guardIndices;
\par \hich\af44\dbch\af31505\loch\f44 int n = (*currentPo\hich\af44\dbch\af31505\loch\f44 ints).size();
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<(*currentPoints).size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 if((*currentPoints)[i].size() == 1)
\par \hich\af44\dbch\af31505\loch\f44 guardIndices.push_back(i);
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat19 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 unordered_map<string,bool> cannotBlockWithTerrain;
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<(*currentPoints\hich\af44\dbch\af31505\loch\f44 ).size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 int isAGuard = 1;
\par \hich\af44\dbch\af31505\loch\f44 if((*currentPoints)[i].size() != 1)
\par \hich\af44\dbch\af31505\loch\f44 isAGuard = 0;
\par \hich\af44\dbch\af31505\loch\f44 for(int j=i+1; j<(*currentPoints).size(); j++)\{
\par \hich\af44\dbch\af31505\loch\f44 string hashKey = (*currentPoints)[i] + "," + (*currentPoints)[j];
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 bool cannotBlock = false;
\par \hich\af44\dbch\af31505\loch\f44 int jGuard = 1;
\par \hich\af44\dbch\af31505\loch\f44 if((*currentPoints)[j].size() != 1)
\par \hich\af44\dbch\af31505\loch\f44 jGuard = 0;
\par \hich\af44\dbch\af31505\loch\f44 if(isAGuard + jGuard == 1)\{
\par \hich\af44\dbch\af31505\loch\f44 if(isAGuard)\{
\par \hich\af44\dbch\af31505\loch\f44 int check = (*currentPoints)[j].find((*currentPoints)[i]);
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)\{
\par \hich\af44\dbch\af31505\loch\f44 //cout << currentPoints[i] << " sees " << currentPoints[j] << endl;
\par \hich\af44\dbch\af31505\loch\f44 cannotBlock = true;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else\{
\par \hich\af44\dbch\af31505\loch\f44 int check = (*currentPoints)[i].find((*currentPoints)[j]);
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)\{
\par \hich\af44\dbch\af31505\loch\f44 //cout << (*currentPoints)[i] << " sees " << (*currentPoints\hich\af44\dbch\af31505\loch\f44 )[j] << endl;
\par \hich\af44\dbch\af31505\loch\f44 cannotBlock = true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 cannotBlockWithTerrain[hashKey] = cannotBlock;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 //Do order claims.
\par \hich\af44\dbch\af31505\loch\f44 for(int dist=3; dist <(*currentPo\hich\af44\dbch\af31505\loch\f44 ints).size(); dist++)\{
\par \hich\af44\dbch\af31505\loch\f44 for(int a=0; a<(*currentPoints).size(); a++)\{
\par \hich\af44\dbch\af31505\loch\f44 bool foundAnOC = false;
\par \hich\af44\dbch\af31505\loch\f44 int d = a + dist;
\par \hich\af44\dbch\af31505\loch\f44 if(d>=(*currentPoints).size())\{
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 for(int b = a+1; b<d-1; b++)\{
\par \hich\af44\dbch\af31505\loch\f44 for(int c = b+1; !foundAnOC && c<d; c++)\{
\par \hich\af44\dbch\af31505\loch\f44 string acHashKey = (*currentPoints)[a] + "," + (*currentPoints)[c];
\par \hich\af44\dbch\af31505\loch\f44 string bdHashKey = (*currentPoints)[b] + "," + (\hich\af44\dbch\af31505\loch\f44 *currentPoints)[d];
\par \hich\af44\dbch\af31505\loch\f44 string adHashKey = (*currentPoints)[a] + "," + (*currentPoints)[d];
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 if(cannotBlockWithTerrain[acHashKey] && cannotBlockWithTerrain[bdHashKey])\{
\par \hich\af44\dbch\af31505\loch\f44 //cout \hich\af44\dbch\af31505\loch\f44 << "cannot block " <<*currentPoints[a] << " from " << (*currentPoints)[d] << " with terrain by OC." << endl;
\par \hich\af44\dbch\af31505\loch\f44 cannotBlockWithTerrain[adHashKey] = true;
\par \hich\af44\dbch\af31505\loch\f44 foundAnOC = true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 //End Order Claims.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat20 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //For each guard, check left and right, but remember the key points. (index)
\par \hich\af44\dbch\af31505\loch\f44 vector<int> rightMostPointGuardSees, leftMostPointGuardSees, closestPointHighOutsideLeft, closestPointHigh\hich\af44\dbch\af31505\loch\f44 OutsideRight;
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<guardIndices.size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 int gI = guardIndices[i]; // the index of the guard in currentPoints
\par \hich\af44\dbch\af31505\loch\f44 string gS = (*currentPoints)[gI]; // the name of guard
\par \hich\af44\dbch\af31505\loch\f44 //Check to Right.
\par \hich\af44\dbch\af31505\loch\f44 bool foundPointDontSeeWithOC = false;
\par \hich\af44\dbch\af31505\loch\f44 int rightMostPointWeSee = gI, firstRightViewpointHighOutside = (*currentPoints).size();
\par \hich\af44\dbch\af31505\loch\f44 for(int vp = gI+1; vp<(*currentPoints).size(); vp++)\{
\par \hich\af44\dbch\af31505\loch\f44 if((*currentPoints)[vp].size() == 1) // \hich\af44\dbch\af31505\loch\f44 find guard
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 int check = (*currentPoints)[vp].find(gS);
\par
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)\{
\par \hich\af44\dbch\af31505\loch\f44 if(foundPointDontSeeWithOC)\{
\par \hich\af44\dbch\af31505\loch\f44 // x(closestPointHighOutsideRight) < x(rightMostGuardPointSees)
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 rightMostPointWeSee = vp;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 else if(!foundPointDontSeeWithOC && cannotBlockWithTerrain[gS +"," + (*currentPoints)[vp]])\{ // vp does not see g and pierced
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 int leftMostGuardPointSees = (*currentPoints)[vp][0] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 if(leftMostGuardPointSees < i)\{
\par \hich\af44\dbch\af31505\loch\f44 foundPointDontSeeWithOC = true;
\par \hich\af44\dbch\af31505\loch\f44 firstRightViewpointHighOutside = vp;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 rightMostPointGuardSees.push_back(rightMostPointWeSee);
\par \hich\af44\dbch\af31505\loch\f44 closestPointHighOutsideRight.push_back(firstRightViewpointHighOutside);
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 //Check to Left.
\par \hich\af44\dbch\af31505\loch\f44 foundPointDontSeeWithOC = false;
\par \hich\af44\dbch\af31505\loch\f44 int leftMostPointWe\hich\af44\dbch\af31505\loch\f44 See = gI, firstLeftViewpointHighOutside = -1;
\par \hich\af44\dbch\af31505\loch\f44 for(int vp = gI-1; vp>=0; vp--)\{
\par \hich\af44\dbch\af31505\loch\f44 if((*currentPoints)[vp].size() == 1)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 int check = (*currentPoints)[vp].find(gS);
\par
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)\{
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 if(foundPointDontSeeWithOC)\{
\par \hich\af44\dbch\af31505\loch\f44 // x(leftMostGuardPointSees) < x(closestPointHighOutsideLeft)
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 leftMostPointWeSee = vp;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 else if(!foundPointD\hich\af44\dbch\af31505\loch\f44 ontSeeWithOC && cannotBlockWithTerrain[(*currentPoints)[vp] +"," + gS])\{
\par \hich\af44\dbch\af31505\loch\f44 int rightMostGuardPointSees = (*currentPoints)[vp][(*currentPoints)[vp].size()-1] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 if(rightMostGuardPointSees > i)\{
\par \hich\af44\dbch\af31505\loch\f44 foundPoin\hich\af44\dbch\af31505\loch\f44 tDontSeeWithOC = true;
\par \hich\af44\dbch\af31505\loch\f44 firstLeftViewpointHighOutside = vp;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 leftMostPointGuardSees.push_back(leftMostPointWeSee);
\par \hich\af44\dbch\af31505\loch\f44 closestPointHighOutsideLeft.push_back(firstLeftViewpointHighOutside);
\par \hich\af44\dbch\af31505\loch\f44 \}
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat21 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //Higher guard.
\par \hich\af44\dbch\af31505\loch\f44 unordered_map<string,string> higherPoint;
\par \hich\af44\dbch\af31505\loch\f44 unordered_map<string,string> tooFarAway;
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<guardIndices.size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 int g1I = guardIndices[i];
\par \hich\af44\dbch\af31505\loch\f44 string g1S = (*currentPoints)[g1I];
\par \hich\af44\dbch\af31505\loch\f44 for(int j= i+1; j<guardIndices.size(); j++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g2I = guardIndices[j];
\par \hich\af44\dbch\af31505\loch\f44 string g2S = (*currentPoints)[g2I];
\par \hich\af44\dbch\af31505\loch\f44 string highGuardKey = g1S + "\hich\af44\dbch\af31505\loch\f44 ," + g2S;
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[highGuardKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[highGuardKey] = "unknown";
\par
\par \hich\af44\dbch\af31505\loch\f44 // x(leftMostPointGuardSees(j) < x(i)) AND x(rightMostPointGuardSees[i]) > x(j)
\par \hich\af44\dbch\af31505\loch\f44 if(leftMostPointGuardSees[j] <= g1I && r\hich\af44\dbch\af31505\loch\f44 ightMostPointGuardSees[i] >= g2I)\{
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[highGuardKey] = "no";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 // x(closestPointHighOutsideRight(j) <= x(rightMostPointGuardSees(i))
\par \hich\af44\dbch\af31505\loch\f44 if(rightMostPointGuardSees[i] >= closestPointHighOutsideRight[j])\{
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[highGuardKey] = g1S;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 // x(le\hich\af44\dbch\af31505\loch\f44 ftMostPointGuardSees(j)) < x(closestPointHighOutsideLeft(i))
\par \hich\af44\dbch\af31505\loch\f44 if(leftMostPointGuardSees[j] <= closestPointHighOutsideLeft[i])\{
\par \hich\af44\dbch\af31505\loch\f44 if(higherPoint[highGuardKey] == g1S)\{
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 higherPoint[highGuardKey] = g2S;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 // x(closestPointHighOutsideRight(i)) < x(j) AND (i, j) unpiercable
\par \hich\af44\dbch\af31505\loch\f44 if(closestPointHighOutsideRight[i] < g2I && cannotBlockWithTerrain[highGuardKey])\{
\par \hich\af44\dbch\af31505\loch\f44 if\hich\af44\dbch\af31505\loch\f44 (higherPoint[highGuardKey] == g1S)\{
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[highGuardKey] = "yes"; // g_1 is low outside of disk g_2
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[highGuardKey] = g2S;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 // x(i) < x(closestPointHighOutsideLeft(j)) AND (i, j) unpiercable
\par \hich\af44\dbch\af31505\loch\f44 if(closestPointHighOutsideLeft[j] > g1I && cannotBlockWithTerrain[highGuardKey])\{
\par \hich\af44\dbch\af31505\loch\f44 if(higherPoint[highGuardKey] == g2S)\{
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[highGuardKey] = "yes"; // g_1 is high outside of disk g_2
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[highGuardKey] = g1S;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 //End Higher Guard
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat22 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //If g1 and g2 shouldn't be blocked by terrain, then no ``midguard'' between them can be higher than both of them.
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<guardIndices.size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g1I = guardIndices[i];
\par \hich\af44\dbch\af31505\loch\f44 string g1S \hich\af44\dbch\af31505\loch\f44 = (*currentPoints)[g1I];
\par \hich\af44\dbch\af31505\loch\f44 for(int j= i+2; j<guardIndices.size(); j++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g2I = guardIndices[j];
\par \hich\af44\dbch\af31505\loch\f44 string g2S = (*currentPoints)[g2I];
\par \hich\af44\dbch\af31505\loch\f44 if(!cannotBlockWithTerrain[g1S + "," + g2S])
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 for(int k=i+1; k<j; k++)\{
\par \hich\af44\dbch\af31505\loch\f44 int midGuardI = guardIndices[k];
\par \hich\af44\dbch\af31505\loch\f44 string midGuardS = (*currentPoints)[midGuardI]; // i < k(midguard) < j
\par \hich\af44\dbch\af31505\loch\f44 if(higherPoint[g1S + "," + midGuardS] == midGuardS && higherPoint[midGuard\hich\af44\dbch\af31505\loch\f44 S + "," + g2S] == midGuardS)\{
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 //End midGuard higher than both.
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat23 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //Simply stating that a point cannot be too far away from itself.
\par \hich\af44\dbch\af31505\loch\f44 for (int i = 0; i < (*currentPoints).size()-1; i++)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 \tab string pS = (*currentPoints)[i];
\par \hich\af44\dbch\af31505\loch\f44 \tab string hashKey = pS + "," + pS;
\par \hich\af44\dbch\af31505\loch\f44 \tab tooFarAway[hashKey] = "no";
\par \hich\af44\dbch\af31505\loch\f44 \tab higherPoint\hich\af44\dbch\af31505\loch\f44 [hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 //Set tooFarAway and highePoint for guard/viewpoint pairs.
\par \hich\af44\dbch\af31505\loch\f44 for (int i = 0; i < (*currentPoints).size()-1; i++)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 for (int j = i+1; j < (*currentPoints).size(); j++) // i < j
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 // [g\hich\af44\dbch\af31505\loch\f44 , vp] or [vp, g] pairs
\par \hich\af44\dbch\af31505\loch\f44 if (((*currentPoints)[i].size() == 1) && ((*currentPoints)[j].size() > 1))
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 // i is g and j is vp
\par \hich\af44\dbch\af31505\loch\f44 string gS = (*currentPoints)[i];
\par \hich\af44\dbch\af31505\loch\f44 string vpS = (*currentPoints)[j];
\par \hich\af44\dbch\af31505\loch\f44 int indexWRTGuards = gS[0] - 'A';
\par
\par \hich\af44\dbch\af31505\loch\f44 string hashKey = gS + "," + vpS;
\par \hich\af44\dbch\af31505\loch\f44 int leftMostGuardPointSees = vpS[0] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 int check = vpS.find(gS);
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 if (check >= 0) // vp sees g
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "no";
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if (rightMostPointGuardSees[indexWRTGuards] >= j && leftM\hich\af44\dbch\af31505\loch\f44 ostGuardPointSees <= indexWRTGuards)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //visibilities cross
\par \hich\af44\dbch\af31505\loch\f44 //Note here vp and g cannot be unpiercable because we would have
\par \hich\af44\dbch\af31505\loch\f44 //rejected above.
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "\hich\af44\dbch\af31505\loch\f44 no";
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if (cannotBlockWithTerrain[hashKey])
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 //They must be too far away.
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "yes";
\par \tab \tab \tab \tab \tab
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 if(leftMostGuardPointSees <= indexWRTGuards)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //vp sees a guard to the left of g.
\par \hich\af44\dbch\af31505\loch\f44 //Therefore vp is high outside g's disk.
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = vpS;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if(rightMostPointGuardSees[indexWRTGuards] >= j)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //g sees a point to the right of vp.
\par \hich\af44\dbch\af31505\loch\f44 //Therefore vp is low outside g's disk.
\par \hich\af44\dbch\af31505\loch\f44 higherP\hich\af44\dbch\af31505\loch\f44 oint[hashKey] = gS;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 if (((*currentPoints)[i].size() > 1) && ((*currentPoints)[j].size() == 1))
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 // i is vp and j is g
\par \hich\af44\dbch\af31505\loch\f44 string vpS = (*currentPoints)[i];
\par \hich\af44\dbch\af31505\loch\f44 string gS = (*currentPoints)[j];
\par \hich\af44\dbch\af31505\loch\f44 int indexWRTGuards = gS[0] - 'A';
\par
\par \hich\af44\dbch\af31505\loch\f44 string hashKey = vpS + "," + gS;
\par \hich\af44\dbch\af31505\loch\f44 int\hich\af44\dbch\af31505\loch\f44 rightMostGuardPointSees = vpS[vpS.size()-1] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 int check = vpS.find(gS);
\par \hich\af44\dbch\af31505\loch\f44 if (check >= 0) // vp sees g
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "no";
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown\hich\af44\dbch\af31505\loch\f44 ";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if (leftMostPointGuardSees[indexWRTGuards] <= i && rightMostGuardPointSees >= indexWRTGuards)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //visibilities cross
\par \hich\af44\dbch\af31505\loch\f44 //Note here vp and g cannot be unpiercable b\hich\af44\dbch\af31505\loch\f44 ecause we would have
\par \hich\af44\dbch\af31505\loch\f44 //rejected above.
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "no";
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if (cannotBlockWithTerrain[hashKey])
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 //They must be too far away.
\par \tab \tab \tab \tab \tab \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "yes";
\par \tab \tab \tab \tab \tab
\par \hich\af44\dbch\af31505\loch\f44 if(rightMostGuardPointSees >= indexWRTGuards)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //vp sees a guard to the right of g.
\par \hich\af44\dbch\af31505\loch\f44 //Therefore vp is high outside g's disk.
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = vpS;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if(leftMostPointGuardSees[indexWRTGuards] <= i)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //g sees a point to the left of vp.
\par \hich\af44\dbch\af31505\loch\f44 //Therefore vp is low outside g's disk.
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = gS;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 higherPoint[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 tooFarAway[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 higher\hich\af44\dbch\af31505\loch\f44 Point[hashKey] = "unknown";
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat24 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //Check to see if there is a guard that is low outside of a disk but needs to pierce a line segment inside that disk.
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<guardIndices.size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g1I = guardIndices[i];
\par \hich\af44\dbch\af31505\loch\f44 string g1S = (*currentPoints)[g1I];
\par \hich\af44\dbch\af31505\loch\f44 f\hich\af44\dbch\af31505\loch\f44 or(int j= i+1; j<guardIndices.size(); j++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g2I = guardIndices[j];
\par \hich\af44\dbch\af31505\loch\f44 string g2S = (*currentPoints)[g2I];
\par \hich\af44\dbch\af31505\loch\f44 string hashKey = g1S + "," + g2S;
\par
\par \hich\af44\dbch\af31505\loch\f44 //We are looking to see if g1 needs to block g2 from seeing any vi\hich\af44\dbch\af31505\loch\f44 ewpoints
\par \hich\af44\dbch\af31505\loch\f44 //to the left of g1. If g1 and g2 can be pierced, then g1 doesn't have to be
\par \hich\af44\dbch\af31505\loch\f44 //the blocker for g2 for any such viewpoints, so skip this g2.
\par \hich\af44\dbch\af31505\loch\f44 if(!cannotBlockWithTerrain[hashKey])
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 for(int vp = g1I-1; vp>leftMostPointGuardSees[j]; vp--)\{ // x(leftMostPointGuardSees(j)) < x(vp) < x(i)
\par
\par \hich\af44\dbch\af31505\loch\f44 //We want to check to see if g2 does not see vp and needs a blocker to pierce
\par \hich\af44\dbch\af31505\loch\f44 //\\overline\{vp g2\}. Since g1 and \hich\af44\dbch\af31505\loch\f44 g2 are unpiercable, it must be that
\par \hich\af44\dbch\af31505\loch\f44 //either g1 pierces \\overline\{vp g2\} or that some point to the left of g1 is
\par \hich\af44\dbch\af31505\loch\f44 //the blocker (if g1 does not pierce then nothing between g1 and g2 can pierce).
\par \hich\af44\dbch\af31505\loch\f44 string vpS = (*currentPoints)[vp];
\par \hich\af44\dbch\af31505\loch\f44 if(vpS.size() == 1) // must be a viewpoint, not guard
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 int check = vpS.find(g2S); // vp does not see g2
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //If g2 sees vp, then g1 cannot be the blocker for g2 for any vp' to the left of vp, so we can stop checking.
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else\{
\par \hich\af44\dbch\af31505\loch\f44 string vpG2HashKey = generateHashKey(vp, g2I, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[vpG2HashKey] != "no")
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //We don't know for sure if we need\hich\af44\dbch\af31505\loch\f44 a blocker for this vp, so skip it.
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 //If we are here, then g2 does not see vp, and vp is inside g2's disk.
\par \hich\af44\dbch\af31505\loch\f44 //Therefore we must find a blocker in (vp, g1].
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 bool blockerCanBeG1, blockerCanBeNewPoint;
\par
\par
\par \hich\af44\dbch\af31505\loch\f44 //Is there a guard gk such that disc(gk) contains g2 and vp but g1 must
\par \hich\af44\dbch\af31505\loch\f44 //be low outside? If so, g1 cannot pierce \\overline\{g2 vp\}.
\par
\par \hich\af44\dbch\af31505\loch\f44 //assuming g1 can be a blocker until we determine otherwise.
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG1 = true;
\par \hich\af44\dbch\af31505\loch\f44 for(int k=0; k<guardIndices.size(); k++)\{
\par \hich\af44\dbch\af31505\loch\f44 if(k == i)
\par \hich\af44\dbch\af31505\loch\f44 continu\hich\af44\dbch\af31505\loch\f44 e;
\par \hich\af44\dbch\af31505\loch\f44 int gkI = guardIndices[k];
\par \hich\af44\dbch\af31505\loch\f44 string gkS = (*currentPoints)[gkI];
\par
\par \hich\af44\dbch\af31505\loch\f44 //If g1 is not low outside gk's disk, skip this gk.
\par \hich\af44\dbch\af31505\loch\f44 string firstHash = generateHashKey(gkI, \hich\af44\dbch\af31505\loch\f44 g1I, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[firstHash] != "yes" || higherPoint[firstHash] != gkS)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 //If g2 is not inside gk's disk, skip this gk.
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 string secondHash = generateHashKey(gkI, g2I, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[secondHash] != "no")
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 //If we are here, then g1 is low outside gk's disk, and g2 is insid\hich\af44\dbch\af31505\loch\f44 e
\par \hich\af44\dbch\af31505\loch\f44 //gk's disk. If vp is also inside gk's disk, then g1 cannot
\par \hich\af44\dbch\af31505\loch\f44 //be the blocker.
\par \hich\af44\dbch\af31505\loch\f44 string thirdHash = generateHashKey(gkI, vp, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if (tooFarAway[thir\hich\af44\dbch\af31505\loch\f44 dHash] == "no")
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG1 = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if(gkI > g2I && tooFarAway[thirdHash] == "yes" && higherPoint[thirdHash] == vpS && tooFarAway[firstHash] == "yes" && higherPoint[firstHash] == gkS && tooFarAway[secondHash] == "no")\{
\par \hich\af44\dbch\af31505\loch\f44 //vp is high out\hich\af44\dbch\af31505\loch\f44 side gk's disk, and g1 is low outside gk's disk.
\par \hich\af44\dbch\af31505\loch\f44 //Then g1 cannot be a blocker for \\overline\{vp g2\}.
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG1 = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 if(blockerCanBeG1)\{
\par \hich\af44\dbch\af31505\loch\f44 //if g1 can be the blocker then we move on to the next vp.
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 //If we are here, then g1 could not be the block\hich\af44\dbch\af31505\loch\f44 er, so the terrain will
\par \hich\af44\dbch\af31505\loch\f44 // need to have a "new point" that is not in the point order to serve as
\par \hich\af44\dbch\af31505\loch\f44 //the blocker for \\overline\{vp g2\}. There are 2 problems this could cause:
\par \hich\af44\dbch\af31505\loch\f44 if(cannotBlockWithTerr\hich\af44\dbch\af31505\loch\f44 ain[vpS + "," + g1S])\{
\par \hich\af44\dbch\af31505\loch\f44 //The new blocker would have to block g1 from vp as well. So if vp and
\par \hich\af44\dbch\af31505\loch\f44 //g1 are unpiercable, we can reject the order.
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = false;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else\{
\par \hich\af44\dbch\af31505\loch\f44 //New blocker may make more things unpiercable.
\par \hich\af44\dbch\af31505\loch\f44 // In particular, every viewpoint vp2 to the left of vp such that
\par \hich\af44\dbch\af31505\loch\f44 //vp2 and g1 are unpiercable, we would now have that vp2 and g2 are
\par \hich\af44\dbch\af31505\loch\f44 //unpiercable whereas they might have been able \hich\af44\dbch\af31505\loch\f44 to have been blocked
\par \hich\af44\dbch\af31505\loch\f44 //before. If vp2 would need to be high and outside of g2's disk then
\par \hich\af44\dbch\af31505\loch\f44 //we may be able to reject.
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = true;
\par \hich\af44\dbch\af31505\loch\f44 for(int vp\hich\af44\dbch\af31505\loch\f44 2 = vp-1; vp2 > leftMostPointGuardSees[j]; vp2--)\{
\par \hich\af44\dbch\af31505\loch\f44 check = (*currentPoints)[vp2].find(g1S);
\par \hich\af44\dbch\af31505\loch\f44 if(check >=0)\{
\par \hich\af44\dbch\af31505\loch\f44 //g1 sees vp2.
\par \hich\af44\dbch\af31505\loch\f44 check = (*curr\hich\af44\dbch\af31505\loch\f44 entPoints)[vp2].find(g2S);
\par \hich\af44\dbch\af31505\loch\f44 if(check < 0)\{
\par \hich\af44\dbch\af31505\loch\f44 //g2 does not see vp2, but now it is unpiercable and it sees
\par \hich\af44\dbch\af31505\loch\f44 //a point to the left of vp2 (we stop checking vp\hich\af44\dbch\af31505\loch\f44 2s when we get to the last point g2 sees).
\par
\par \hich\af44\dbch\af31505\loch\f44 //It could only be low outside g2's disk. If vp2 sees a guard to the right of g2, the order is not realizable.
\par \hich\af44\dbch\af31505\loch\f44 int rightMostGuardPointSees \hich\af44\dbch\af31505\loch\f44 = (*currentPoints)[vp2][(*currentPoints)[vp2].size()-1] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 if(rightMostGuardPointSees > j)\{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 if(!blockerCanBeNewPoint)
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par
\par \hich\af44\dbch\af31505\loch\f44 //Repeat the process except now we are checking on blockers for \\overline\{g1 vp\} for
\par \hich\af44\dbch\af31505\loch\f44 //vps to the right of g2.
\par \hich\af44\dbch\af31505\loch\f44 for(int vp = g2I+1; vp<rig\hich\af44\dbch\af31505\loch\f44 htMostPointGuardSees[i]; vp++)\{
\par \hich\af44\dbch\af31505\loch\f44 string vpS = (*currentPoints)[vp];
\par \hich\af44\dbch\af31505\loch\f44 if(vpS.size() == 1)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 int check = vpS.find(g1S);
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0)
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //If vp sees g1 then g2 will not be a blocker for any point right of vp.
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else\{
\par
\par \hich\af44\dbch\af31505\loch\f44 string vpG1HashKey = generateHashKey(g1I, vp, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[vpG1HashKey] != "no") // vp sees a guard right of g2
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 //We don't know for sure if we need a blocker for this vp, so skip it.
\par \hich\af44\dbch\af31505\loch\f44 continue; // check both side
\par \hich\af44\dbch\af31505\loch\f44 \}
\par
\par \hich\af44\dbch\af31505\loch\f44 bool blockerCanBeG2, blockerCanBeNewPoint;
\par \hich\af44\dbch\af31505\loch\f44 //Is there a disc that contains g1 and vp but g2?
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG2 = true;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 for(int k=0; k<guardIndices.size(); k++)\{
\par \hich\af44\dbch\af31505\loch\f44 if(k == j)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 int gkI = guardIndices[k];
\par \hich\af44\dbch\af31505\loch\f44 string gkS = (*currentPoints)[gkI];
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 string firstHash = generateHashKey(gkI, g1I, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[firstHash] != "no")
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 string secondHash = generateHashKey(gkI, g2I, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[secondHash] != "yes" || higherPoint[secondHash] != gkS)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 string thirdHash = generateHashKey(gkI, vp, currentPoints);
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[thirdHash\hich\af44\dbch\af31505\loch\f44 ] == "no")
\par \hich\af44\dbch\af31505\loch\f44 \{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG2 = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 else if(gkI < g1I && tooFarAway[thirdHash] == "yes" && higherPoint[thirdHash] == v\hich\af44\dbch\af31505\loch\f44
pS && tooFarAway[secondHash] == "yes" && higherPoint[secondHash] == gkS && tooFarAway[firstHash] == "no")\{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeG2 = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 if(blockerCanBeG2)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44 if(cannotBlockWithTerrain[g2S + "," + (*currentPoints)[vp]])\{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = false;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 else\{
\par \hich\af44\dbch\af31505\loch\f44 //New blocker may make more things unpiercable
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = true;
\par \hich\af44\dbch\af31505\loch\f44 for(int vp2 = vp+1; vp2 < rightMostPointGuardSees[i]; vp2++)\{
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 check = (*currentPoints)[vp2].find(g2S);
\par \hich\af44\dbch\af31505\loch\f44 if(check >=0)\{
\par \hich\af44\dbch\af31505\loch\f44 check = (*currentPoints)[vp2].find(g1S);
\par \hich\af44\dbch\af31505\loch\f44 if(check < 0)\{
\par \hich\af44\dbch\af31505\loch\f44 int leftMos\hich\af44\dbch\af31505\loch\f44 tGuardPointSees = (*currentPoints)[vp2][0] - 'A';
\par \hich\af44\dbch\af31505\loch\f44 if(leftMostGuardPointSees < i)\{
\par \hich\af44\dbch\af31505\loch\f44 blockerCanBeNewPoint = false;
\par \hich\af44\dbch\af31505\loch\f44 break;
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 if(!blockerCanBeNewPoint)
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541
\par
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid16718198 \cbpat25 {
\rtlch\fcs1 \af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 //We now check for violations of Lemma 5 where the "outer" points of the lemma are guards g1 and g2 and the "inner" points are viewpoints.
\par \hich\af44\dbch\af31505\loch\f44 for(int i=0; i<guardIndices.size(); i++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g1I = guardIndices[i];
\par \hich\af44\dbch\af31505\loch\f44 s\hich\af44\dbch\af31505\loch\f44 tring g1S = (*currentPoints)[g1I];
\par \hich\af44\dbch\af31505\loch\f44 for(int j= i+1; j<guardIndices.size(); j++)\{
\par \hich\af44\dbch\af31505\loch\f44 int g2I = guardIndices[j];
\par \hich\af44\dbch\af31505\loch\f44 string g2S = (*currentPoints)[g2I];
\par
\par \hich\af44\dbch\af31505\loch\f44 //We now look for a point vp2 that sees g2 but is low outside of g1'\hich\af44\dbch\af31505\loch\f44 s disk.
\par \hich\af44\dbch\af31505\loch\f44 for(int vp2 = g1I + 1; vp2 < g2I; vp2++)\{
\par
\par \hich\af44\dbch\af31505\loch\f44 string vp2S = (*currentPoints)[vp2];
\par
\par \hich\af44\dbch\af31505\loch\f44 int check = vp2S.find(g1S);
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0) // Skip if vp2 sees g1.
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 check = vp2S.find(g2S);
\par \hich\af44\dbch\af31505\loch\f44 if(check < 0) // Skip if vp2 doesn't see g2.
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 string hashKey2 = g1S + "," + vp2S;
\par
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[hashKey2] != "yes" || higherPoint[hashKey2] !\hich\af44\dbch\af31505\loch\f44 = g1S)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44
\par
\par \hich\af44\dbch\af31505\loch\f44 //So now we have that vp2 is low outside of g1.
\par \hich\af44\dbch\af31505\loch\f44 //If there is a vp1 between vp2 and g2 that sees g1, but has to be low
\par \hich\af44\dbch\af31505\loch\f44 //outside g2's disk, the order is un\hich\af44\dbch\af31505\loch\f44 realizable.
\par \hich\af44\dbch\af31505\loch\f44 for(int vp1 = vp2 +1; vp1 < g2I; vp1++) \{
\par
\par \hich\af44\dbch\af31505\loch\f44 string vp1S = (*currentPoints)[vp1];
\par
\par \hich\af44\dbch\af31505\loch\f44 check = vp1S.find(g1S);
\par \hich\af44\dbch\af31505\loch\f44 if(check < 0) // Skip if vp1 doesn't see g1.
\par \hich\af44\dbch\af31505\loch\f44 \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 check = vp1S.find(g2S);
\par \hich\af44\dbch\af31505\loch\f44 if(check >= 0) // Skip if vp1 sees g2.
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par
\par \hich\af44\dbch\af31505\loch\f44 string hashKey1 = vp1S + "," + g2S;
\par \hich\af44\dbch\af31505\loch\f44 if(tooFarAway[hashKey1] != "yes" || higherPoint[hashKey1] != g2S)
\par \hich\af44\dbch\af31505\loch\f44 continue;
\par \hich\af44\dbch\af31505\loch\f44
\par \hich\af44\dbch\af31505\loch\f44 //If we make it here then g1, vp2, vp1,\hich\af44\dbch\af31505\loch\f44 g2 violate Lemma 5.
\par \hich\af44\dbch\af31505\loch\f44 return true;
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par \hich\af44\dbch\af31505\loch\f44 \}
\par }\pard \ltrpar\ql \li0\ri0\widctlpar\tx916\tx1832\tx2748\tx3664\tx4580\tx5496\tx6412\tx7328\tx8244\tx9160\tx10076\tx10992\tx11908\tx12824\tx13740\tx14656\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0\pararsid9661541 {\rtlch\fcs1
\af2\afs16 \ltrch\fcs0 \f44\fs16\cf1\insrsid9661541\charrsid9661541 \hich\af44\dbch\af31505\loch\f44 output.close();
\par
\par \hich\af44\dbch\af31505\loch\f44 //If we make it here, we could not determine that the order is unrealizable.
\par \hich\af44\dbch\af31505\loch\f44 return false;
\par \}
\par }\pard \ltrpar\ql \li0\ri0\sa160\sl259\slmult1\widctlpar\wrapdefault\aspalpha\aspnum\faauto\adjustright\rin0\lin0\itap0 {\rtlch\fcs1 \af0\afs16 \ltrch\fcs0 \f44\fs16\insrsid940104\charrsid9661541
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