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LineIntY]] && Negative[FullSimplify[LineIntY - y2]]))) && (((Positive[FullSimplify[x3 - LineIntX]] && \ Positive[FullSimplify[ LineIntX - x4]]) || (Negative[FullSimplify[x3 - \ LineIntX]] && Negative[FullSimplify[LineIntX - x4]])) || ((Positive[FullSimplify[y3 - LineIntY]] && \ Positive[FullSimplify[ LineIntY - y4]]) || (Negative[FullSimplify[y3 - \ LineIntY]] && Negative[FullSimplify[LineIntY - y4]])))), True, \ False]]]]]]]\ \>", "Input", CellGroupingRules->{"GroupTogetherGrouping", 10000.}, CellChangeTimes->{ 3.35696210375764*^9, {3.3719154639382005`*^9, 3.3719155084344015`*^9}, {3.3719160819125767`*^9, 3.371916085948501*^9}, {3.371928493249601*^9, 3.371928493750341*^9}, {3.371928545426709*^9, 3.371928632926017*^9}, {3.3719287342858076`*^9, 3.371928786322708*^9}, {3.3719290063025475`*^9, 3.37192911863976*^9}, {3.3719291728352537`*^9, 3.3719291752891245`*^9}, {3.3719877858110433`*^9, 3.3719878121201854`*^9}, 3.3725324408303027`*^9, { 3.372532974940379*^9, 3.372533021843613*^9}, { 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"HZs[W^G", "HZu[G^G", "HZe[W^G", "HZq[W^G", "HZuSW^G", "H^a[W^G", "H^qSW^G", "H~C[W^G", "H~O[W^G", "H~_[W^G", "H~oSW^G", "H~S[G^G", "HzS[W^G", "HzUSW^G", "HzsSW^G", "HzE[W^G", "Hzc[W^G", "Hza[W^G", "H^eSW^G", "H~ESW^G", "H~cSW^G", "HzeSW^G", "Hzo[W^G", "HzS[]QS", "H^S[]QS", "H~O[]QS", "HzQ[]QS", "HZU[]QH", "HZu[YQH", "HzU[YQH", "Hze[YQH", "Hzs[YQH", "H~S[YQH", "H~o[YQH", "H^U[YQH", "HZe[]QH", "H^e[YQH", "H^c[]QH", "H^a[]QH", "H~a[YQH", "HzE[]QH", "H^E[]QH", "H~E[YQH", "H~C[]QH", "H~A[]QH", "Hzc[]QH", "Hze[]AH", "HZu[]AH", "H^U[]AH", "H^s[]AH", "HzU[]AH", "H~S[]AH", "Hzs[]AH", "H~c[]AH", "H~a[]AH", "Hzq[]AH", "H^q[]AH", "HzuS]AH", "H~US]AH", "H|UKWwT", "H|Q[WwT", "H~UKWWT", "H~Q[WWT", "H~QKWwT", "HzUSWwT", "H|USWwT", "H~QSWwT", "HzUKWwX", "H~UKWWX", "HzQ[WwX", "H~Q[WWX", "H~QKWwX", "HzU[WgX", "H|U[WgX", "H~Q[WgX", "H~UKWgX", "H~USWgX", "HzuSWWX", "HzU[WWX", "Hzq[WWX", "HzuSWgX", "Hzq[WgX", "H~qSWgX", "H~uCWgX", "HzuCWwX", "HzUSWwX", "H|USWwX", "H~USWWX", "H~QSWwX", "H~UCWwX", "H~qSWWX", "HzqSWwX", "HzUKWxW", "HzQ[WxW", "HxU[WxW", "HxuSWxW", "Hxe[WxW", "Hxq[WxW", "H|qSWxW", "H|Q[WxW", "HjU[Wyo", "HnUKWyo", "HlU[Wyo", "HnQ[Wyo", "Hlq[Wyo", "Hjq[Wyo", "HxU[Wyo", "HzQ[Wyo", "H^Q[Wyo", "H^UKWyo", "HjuSWyo", "HnUSWyo", "HluSWyo", "HnqSWyo", "HZuSWyo", "HzUSWyo", "H^USWyo", "H|USWyo", "H~QSWyo", "HzQ[WyS", "HxU[WyS", "H|Q[WyS", "H~O[WyS", "HzS[WyS", "H|S[WyS", "H~SKWyS", "Hzo[WyS", "H|o[WyS", "HzsKWyS", "H^USWyS", "HZuSWyS", "H~QSWyS", "HzUSWyS", "H|USWyS", "H^sSWyS", "H~SSWyS", "H~oSWyS", "HzsSWyS", "H|sSWyS", "H~sCWyS", "H~s[GeP", "Hzs[geP", "H^s[geP", "H|s[geP", "H~o[geP", "Hxs[keP", "H|sWkeP", "H~SWkeP", "HzsWkeP", "HxuWkeP", "HzqWkeP", "HzuGkeP", "H^sWkeP", "HZuWkeP", "H^UWkeP", "H^qWkeP", "H^uWkEP", "H^uGkeP", "HzUWkeP", "H|UWkeP", "H~UGkeP", "H|qWkeP", "H~uGgeP", "H~qGkeP", "H~sWgeP", "HzuWgeP", "Hxu[geP", "Hzu[GeP", "H^uWgeP", "HZu[geP", "H^q[geP", "H^uKgeP", "H|uWgeP", "H~uKGeP", "Hhu[gep", "Hju[ge`", "HjuKgep", "HYu[gep", "HZu[Gep", "HZuKgep", "HxuWgep", "HyuWgep", "HzuWge`", "HjuWheB", "HzSWleB", "HZuWheB", "HZsWleB", "HYuWleB", "HhuWleB", "HxsWleB", "HxuWheB", "Hhu[heB", "Hhq[leB", "HxUWleB", "HxU[heB", "HhU[leB", "HxS[leB", "HzsXgMD", "HZs\\gMD", "HZuXgMD", "HZu\_MD", "HZsXkMD", "HzS\\cMD", "Hzs\_MD", "HzuX_MD", "HzuL_MD", "HjuXcMD", "HzuHcMD", "Hjs\\cMD", "HJu\\cMD", "HjuLcMD", "HZs\\cMD", "HzsXkED", "HzS\\kED", "HZs\\kED", "HZsXkKF", "HZuHkKF", "HZuXcKF", "HJuXkMa", "HjsXkMa", "HjuWkMa", "HZuWkMa", "HzsWkMa", "HJu[kMa", "HzS[kMa", "Hzs[KMa", "HZS\\kN_", "HzsHkK[", "HysXkK[", "HyuPkK[", "HyuHkK[", "HjuHkK[", "HzoXkK[", "HjuPkK[", "Hzu@kK[", "HZs\\cKU", "HZsXkKU", "HZs\\KKU", "HZsLkKU", "HZuLKKU", "HzsHkKU", "HYu\\cKU", "HZu\\CKU", "HzS\\cKU", "HzsXcKU", "Hzo\\cKU", "Hzs\\CKU", "HzsLcKU", "Hys\\KLo", "HxpwWkR", "H|pgWkR", "HxtoWkR", "Hxt_wkR", "H{t_wkR", "H|poWkR", "H|t_wKR", "H|t_WkR", "HxpwokR", "H|pwoKR", "H|pgokR", "H|pwOkR", "H|twOKR", "HxtookT", "HxtGwkT", "Hxt_wkT", "H|sowKT", "H|tGwKT", "H|tgoKT", "H|owwKT", "H|pWwKT", "H|pgwKT", "H|pwoKT", "H|powKT", "H|pwWKT", "H|t_wKT", "H|toWKT", "H|tooKT", "H|pGwkT", "HxpowkT", "H|p_wkT", "H|tGWkT", "H|soWkT", "H|t_WkT", "H|poWkT", "Hxtooks", "H{sowks", "H{tooks", "H{tgoks", "H{tGwks", "H{swWks", "H{tWWks", "H{tgWks", "H{pwWks", "H{toWks", "H{owwks", "H{pWwks", "H{pgwks", "H{pwoks", "H{powks", "H|oWwks", "H|pGwks", "H|p_wks", "H|t_Wks", "H|pgWks", "H|soWks", "H|poWks", "HxTgwmW", "HxPwwmW", "HxTwWmW", "H{TgwmW", "H|TgWmW", "H|PgwmW", "H|PwWmW", "HxTowmW", "H{TowmW", "H|T_wmW", "H|PowmW", "H|ToWmW", "HxpgwmW", "Hxt_wmW", "H{t_wmW", "H|t_WmW", "HxpowmW", "H|p_wmW", "H|poWmW", "H|pgWkY", "HxpowkY", "H|p_wkY", "H|poWkY", "H|p_WkZ", "H|S_yWN", "H|c_yWN", "H|t_qWF", "Httoz@D", "Htswz@D", "Httgz@D", "HtsozHD", "HtsgzHD", "HttGzHD", "Htt_zHD", "H|soxHD", "H|sWxHD", "HttgxHD", "H|sgxHD", "H|t_xHD", "HtpozHD", "HtowzHD", "HtpWzHD", "Htpwz@D", "HtpgzHD", "HtpwxHD", "H|poxHD", "H|owxHD", "H|owz@D", "H|ogzHD", "H|oWzHD", "H|pWz@D", "H|pgz@D", "H|pGzHD", "H|oozHD", "H|sGzHD", "H|sgz@D", "HtowzH`", "H|oWzH`", "HtsozGs", "HsswzGs", "HstozGs", "HstgzGs", "HstWzGs", "HspwzGs", "HtsWzGs", "HttOzGs", "HttGzGs", "HtowzGs", "HtpWzGs", "Htt_zGs", "H{sozGs", "H{sWzGs", "H{tOzGs", "H{tGzGs", "H\\tozJG", "HTTwzJG", "H|SWzJG", "H|SgzJG", "H|DgzJG", "HtTgzJG", "H\\tO~@c", "HLto~@c", "H\\sW~@c", "H|coyLH", "H|oow\\H", "H\\poyLH", "H|ooyLH", "H|powLH", "H|`oyLH", "Htd_y\\H", "Htp_y\\H", "Htt_yLH", "H|d_w\\H", "H|t_wLH", "H\\doyLH", "H^U[[VG", "H^uW[VG", "H^s[[VG", "HZu[[VG", "H~UW[VG", "H~S[[VG", "HzU[[VG", "H~sW[VG", "HzuW[VG", "Hzs[[VG", "H^e[[VG", "H~E[[VG", "H~eW[VG", "H~c[[VG", "Hze[[VG", "H~a[[VG", "H^q[[VG", "H~Q[[VG", "H~qW[VG", "H~o[[VG", "Hzq[[VG", "H^uS[VG", "H~US[VG", "H~uO[VG", "HzuS[VG", "H~eS[VG", "H~qS[VG", "H^u[KVG", "H~U[KVG", "H~s[KVG", "Hzu[KVG", "H~e[KVG", "H~uSKVG", "H^U[[UH", "H~S[[UH", "H~U[WUH", "H~uWWUH", "H~s[WUH", "Hzu[WUH", "H~UW[UH", "H~sW[UH", "HzuW[UH", "HzU[[UH", "Hzs[[UH", "H^q[[UH", "H~Q[[UH", "H~q[WUH", "H~qW[UH", "H~o[[UH", "Hzq[[UH", "H^uS[UH", "H~US[UH", "H~uSWUH", "H~uO[UH", "HzuS[UH", "H~qS[UH", "H^u[KUH", "H~U[KUH", "H~u[GUH", "H~s[KUH", "Hzu[KUH", "H~q[KUH", "H^u[[EH", "H~U[[EH", "H~uW[EH", "H~s[[EH", "Hzu[[EH", "H~q[[EH", "H~u[KEH", "HzU[[Uo", "H^U[[Uo", "H~UW[Uo", "H~sW[Uo", "HzuW[Uo", "HnuW[Uo", "H}U[[Uo", "H}uW[Uo", "H}s[[Uo", "Hyu[[Uo", "H]u[[Uo", "H}q[[Uo", "H}u[KUo", "H~Q[[Uo", "H~qW[Uo", "H~o[[Uo", "H^U[[US", "H~UW[US", "H^uW[US", "H~sW[US", "H^s[[US", "H~S[[US", "HZu[[US", "HzU[[US", "HzuW[US", "Hzs[[US", "H^q[[US", "H~Q[[US", "H~qW[US", "H~o[[US", "Hzq[[US", "HzU[[SJ", "Hzs[[SJ", "HzuS[SJ", "Hzu[KSJ", "HzuW[SJ", "H~UW[SJ", "H~qW[SJ", "H~uO[SJ", "H~uWKSJ", "H~uW[CJ", "H~S[[SJ", "H~s[[CJ", "H^U[[UB", "H^u[WUB", "H~S[[UB", "H^uW[UB", "H~UW[UB", "H~sW[UB", "HzuW[UB", "H^q[[UB", "H~Q[[UB", "H~q[WUB", "H~qW[UB", "H~o[[UB", "Hzq[[UB", "H~q[KUB", "HzuW[MB", "H~UW[MB", "H~uWWMB", "H~s[WMB", "Hzu[WMB", "H^u[WMB", "H~U[WMB", "H~sW[MB", "H~S[[MB", "H~s[WMD", "Hzu[WMD", "H^u[WMD", "H~U[WMD", "H~uWWMD", "Hzs[[MD", "H^s[[MD", "HZu[[MD", "H^U[[MD", "H~S[[MD", "HzU[[MD", "H~sW[MD", "HzuW[MD", "H^uW[MD", "H~UW[MD", "H~uSWMD", "H~sS[MD", "H~US[MD", "H~s[[ED", "Hzu[[ED", "H^u[[ED", "H~U[[ED", "H~uW[ED", "Hzs[[MS", "H^s[[MS", "H~S[[MS", "H~sW[MS", "H^U[[MS", "H^uW[MS", "H|s[[MS", "Hxu[[MS", "H|U[[MS", "H|uW[MS", "H|uK[MS", "H|uS[MS", "H~sK[MS", "H^uK[MS", "H~UK[MS", "Hzs[[NG", "HzuW[NG", "H^s[[NG", "HZu[[NG", "H^U[[NG", "H^uW[NG", "H~S[[NG", "HzU[[NG", "H~UW[NG", "H~c[[NG", "Hze[[NG", "H^e[[NG", "H~E[[NG", "H~eW[NG", "H~sS[NG", "HzuS[NG", "H^uS[NG", "H~S[W[L", "H~o[W[L", "H~sSW[L", "H~s[WKL", "H~s[G[L", "H~USW[L", "H~qSW[L", "H~U[WKL", "H~uSWKL", "H~s[WSL", "Hzu[WSL", "H~U[WSL", "H~q[WSL", "H~uSWSL", "H~u[GSL", "HzU[W[J", "Hzq[W[J", "Hzu[WKJ", "Hzu[G[J", "HzuSW[J", "H~Q[W[J", "H~U[WKJ", "H~q[WKJ", "H~uSWKJ", "H~U[G[J", "H~USW[J", "H~qSW[J", "H~USW[F", "H~U[O[F", "H~Q[W[[", "H~USW[[", "H~qSW[[", "H~U[G[[", "H~Q[W\\W", "HzU[W\\W", "Hze[W\\W", "Hzq[W\\W", "HzuSW\\W", "Hzu[G\\W", "H|U[W\\W", "Hxu[W\\W", "H|q[W\\W", "H|uSW\\W", "H|u[G\\W", "H~E[W\\W", "H~U[G\\W", "H^U[W^G", "H^s[W^G", "HZu[W^G", "H^e[W^G", "H^q[W^G", "H^uSW^G", "H~S[W^G", "H~c[W^G", "H~o[W^G", "H~sSW^G", "H~s[G^G", "HzU[W^G", "Hzs[W^G", "HzuSW^G", "H~E[W^G", "Hze[W^G", "H~a[W^G", "H~eSW^G", "H~Q[W^G", "Hzq[W^G", "H~USW^G", "H~qSW^G", "HzU[]QS", "H~S[]QS", "H^s[]QS", "H~Q[]QS", "HZu[]QH", "Hzu[YQH", "H^u[YQH", "H~s[YQH", "HzU[]QH", "H~U[YQH", "Hze[]QH", "H^e[]QH", "H~e[YQH", "H~E[]QH", "H~c[]QH", "H~a[]QH", "Hzu[]AH", "H^u[]AH", "H~U[]AH", "H~s[]AH", "H~e[]AH", "H~q[]AH", "H~uS]AH", "HzU[WwT", "H|U[WwT", "H~UKWwT", "H~U[WWT", "H~Q[WwT", "H~USWwT", "Hzq[WwX", "HzuKWwX", "HzU[WwX", "H~U[WWX", "H~Q[WwX", "H~UKWwX", "H~U[WgX", "Hzu[WWX", "H~q[WWX", "Hzu[WgX", "H~q[WgX", "H~uKWgX", "H~uSWgX", "HzuSWwX", "H~USWwX", "H~uSWWX", "H~qSWwX", "HzU[WxW", "Hzq[WxW", "Hxu[WxW", "H|U[WxW", "H|uSWxW", "H|q[WxW", "Hze[WxW", "H~eKWxW", "Hju[Wyo", "HnU[Wyo", "Hlu[Wyo", "Hnq[Wyo", "HnuKWyo", "HzU[Wyo", "H^U[Wyo", "H|U[Wyo", "H~Q[Wyo", "H~UKWyo", "HzuSWyo", "HnuSWyo", "H^uSWyo", "H~USWyo", "H^U[WyS", "HzU[WyS", "H|U[WyS", "H~Q[WyS", "H~S[WyS", "Hzs[WyS", "H|s[WyS", "H~sKWyS", "H~o[WyS", "H^uSWyS", "H~USWyS", "H~sSWyS", "HzuSWyS", "H~s[geP", "Hzs[keP", "H|s[keP", "H~sWkeP", "HzuWkeP", "H^uWkeP", "H~UWkeP", "H|uWkeP", "H~qWkeP", "H~uGkeP", "H~uWgeP", "Hzu[geP", "H^u[geP", "H|u[geP", "H~u[GeP", "Hzu[gcp", "Hju[gep", "HZu[gep", "Hxu[gep", "Hyu[gep", "Hzu[ge`", "HzuWheB", "HzsWleB", "HZuWleB", "HZu[heB", "HZU[leB", "HxuWleB", "Hxu[heB", "Hhu[leB", "HxU[leB", "Hxs[leB", "Hzs\\gMD", "HzS\\kMD", "HzuXgMD", "HzsXkMD", "HjuXkMD", "HZs\\kMD", "HZu\\gMD", "HZuXkMD", "Hzs\\cMD", "Hzu\_MD", "HzuXcMD", "Hju\\cMD", "HZu\\cMD", "HzU\\cMD", "HzuLcMD", "Hzs\\kED", "Hju\\kED", "HZu\\kED", "HzsXkKF", "HzuXcKF", "HZuXkKF", "HZu\\cKF", "HjuXkMa", "HJu\\kMa", "Hjs\\kMa", "HzuWkMa", "Hju[kMa", "HZu[kMa", "HzU[kMa", "Hzs[kMa", "HjuXkN_", "HZuXkN_", "HJu\\kN_", "HZU\\kN_", "HZs\\kN_", "HzsLkK[", "HjuXkK[", "HzsXkK[", "HyuXkK[", "HzuHkK[", "HzqXkK[", "HzuPkK[", "HZs\\kKU", "HZu\\KKU", "HzsXkKU", "Hzs\\KKU", "HzsLkKU", "HZu\\cKU", "Hzs\\cKU", "Hxs\\kLo", "Hys\\kLo", "Hzs\\KLo", "HyuXkLo", "HjsXkMb", "HxpwwkR", "HxtwWkR", "H|pwWkR", "H|tgwKR", "H|pgwkR", "H|tgWkR", "HxtowkR", "H{towkR", "H|powkR", "H|toWkR", "H|towKR", "H|t_wkR", "HxtwokR", "H|pwokR", "H|twOkR", "HxtwokT", "HxtgwkT", "HxpwwkT", "HxtowkT", "H|swwKT", "H|tgwKT", "H|pwwKT", "H|twWKT", "H|towKT", "H|twoKT", "H|pgwkT", "H|powkT", "H|tgWkT", "H|pwWkT", "H|toWkT", "Hxtwoks", "Hxtgwks", "H{swwks", "H{twoks", "H{tWwks", "H{tgwks", "H{twWks", "H|owwks", "H{pwwks", "H|pWwks", "H|pgwks", "H|powks", "H|tgWks", "H|pwWks", "H|toWks", "HxTwwmW", "H|TgwmW", "H|PwwmW", "H|TwWmW", "H|TowmW", "HxtgwmW", "HxpwwmW", "H{tgwmW", "H|pgwmW", "H|pwWmW", "HxtowmW", "H{towmW", "H|t_wmW", "H|powmW", "H|toWmW", "HxpwwkY", "H|pgwkY", "H|pwWkY", "HxtowkY", "H|powkY", "H|toWkY", "H|pgWkZ", "H|coyWN", "H|s_yWN", "H|ooyWN", "H|soyWF", "H|toqWF", "Httwz@D", "HtswzHD", "HttWzHD", "HttgzHD", "HttozHD", "HttwxHD", "H|swxHD", "H|tgxHD", "H|sWzHD", "HtpwzHD", "H|pwxHD", "H|owzHD", "H|pWzHD", "H|pwz@D", "H|pgzHD", "H|pozHD", "H|sgzHD", "H|tGzHD", "H|swz@D", "H|tWz@D", "H|tgz@D", "H|sWzH`", "HttgzH`", "H|owzH`", "HtpwzH`", "H|sozGs", "HtswzGs", "HttozGs", "HstwzGs", "HttWzGs", "HtpwzGs", "HttgzGs", "H{swzGs", "H{tWzGs", "H|sWzGs", "H|tOzGs", "H|tGzGs", "H\\twzJG", "H|SwzJG", "H|TWzJG", "H|TgzJG", "HLtw~B@", "H\\twzB@", "H\\to~@c", "HLtw~@c", "H\\sw~@c", "H\\tW~@c", "Htto~@c", "Htsw~@c", "H|sW~@c", "H|t_q[F", "H|coy\\H", "H|sow\\H", "H|dow\\H", "H|ooy\\H", "H|pow\\H", "H|`oy\\H", "H|poyLH", "Htt_y\\H", "H|t_w\\H", "H|d_y\\H", "H|doyLH", "H^u[[VG", "H~U[[VG", "H~uW[VG", "H~s[[VG", "Hzu[[VG", "H~e[[VG", "H~q[[VG", "H~uS[VG", "H~u[KVG", "H^u[[UH", "H~U[[UH", "H~u[WUH", "H~uW[UH", "H~s[[UH", "Hzu[[UH", "H~q[[UH", "H~uS[UH", "H~u[KUH", "H~u[[EH", "H~U[[Uo", "H~uW[Uo", "H~s[[Uo", "H}u[[Uo", "H~q[[Uo", "H^u[[US", "H~U[[US", "H~uW[US", "H~s[[US", "Hzu[[US", "H~q[[US", "Hzu[[SJ", "H~U[[SJ", "H~uW[SJ", "H~s[[SJ", "H^u[[UB", "H~U[[UB", "H~uW[UB", "H~s[[UB", "H~q[[UB", "H~uW[MB", "H~u[WMB", "H~s[[MB", "H~u[WMD", "H~s[[MD", "Hzu[[MD", "H^u[[MD", "H~U[[MD", "H~uW[MD", "H~uS[MD", "H~u[[ED", "H~s[[MS", "H^u[[MS", "H~U[[MS", "H|u[[MS", "H~uK[MS", "H~s[[NG", "Hzu[[NG", "H^u[[NG", "H~U[[NG", "H~uW[NG", "H~e[[NG", "H~uS[NG", "H~s[W[L", "H~U[W[L", "H~q[W[L", "H~uSW[L", "H~u[WKL", "H~u[WSL", "H~U[W[J", "Hzu[W[J", "H~q[W[J", "H~u[WKJ", "H~u[G[J", "H~uSW[J", "H~U[W[F", "H~s[W[F", "H~U[W[[", "H~q[W[[", "H~uSW[[", "H~u[G[[", "H~U[W\\W", "Hzu[W\\W", "H|u[W\\W", "H~e[W\\W", "H~q[W\\W", "H~uSW\\W", "H~u[G\\W", "H^u[W^G", "H~U[W^G", "H~s[W^G", "Hzu[W^G", "H~e[W^G", "H~q[W^G", "H~uSW^G", "H~U[]QS", "H~s[]QS", "H~q[]QS", "Hzu[]QH", "H~u[YQH", "H~U[]QH", "H~e[]QH", "H~u[]AH", "H~U[WwT", "Hzu[WwT", "H~q[WwT", "Hzu[WwX", "H~U[WwX", "H~u[WWX", "H~q[WwX", "H~uKWwX", "H~u[WgX", "H~uSWwX", "Hzu[WxW", "H|u[WxW", "H~e[WxW", "H~q[WxW", "Hzu[Wyo", "Hnu[Wyo", "H~U[Wyo", "H~uSWyo", "H^u[WyS", "H~U[WyS", "H~s[WyS", "Hzu[WyS", "H~uSWyS", "H~s[keP", "H~uWkeP", "H~u[geP", "Hzu[keP", "Hzu[gep", "HzuWleB", "Hju[leB", "HZu[leB", "Hxu[leB", "Hzs\\kMD", "Hzu\\gMD", "HzuXkMD", "Hju\\kMD", "HZu\\kMD", "Hzu\\cMD", "Hzu\\kED", "HzuXkKF", "HZu\\kKF", "Hzu\\cKF", "HzuXkMa", "Hju\\kMa", "HZu\\kMa", "Hzu[kMa", "HzuXkN_", "HZu\\kN_", "HzU\\kN_", "Hzs\\kK[", "HzuXkK[", "HZu\\kKU", "Hzs\\kKU", "Hzu\\cKU", "Hzs\\kLo", "HzuXkLo", "HjuXkMb", "HxtwwkR", "H|pwwkR", "H|twWkR", "H|twwKR", "H|tgwkR", "H|towkR", "H|twokR", "HxtwwkT", "H|twwKT", "H|tgwkT", "H|pwwkT", "H|twWkT", "Hxtwwks", "H{twwks", "H|tgwks", "H|pwwks", "H|twWks", "H|TwwmW", "HxtwwmW", "H|tgwmW", "H|pwwmW", "H|twWmW", "H|towmW", "H|pwwkY", "H|twWkY", "H|towkY", "H|pwWkZ", "H|soyWN", "H|toyWF", "HttwzHD", "H|twxHD", "H|swzHD", "H|tWzHD", "H|pwzHD", "H|tgzHD", "H|tozHD", "H|twz@D", "H|swzH`", "HttwzH`", "H|pwzH`", "H|swzGs", "HttwzGs", "H{twzGs", "H|tWzGs", "H|TwzJG", "Hltw~B@", "H|twzB@", "H\\tw~B@", "H\\tw~@c", "Httw~@c", "H|sw~@c", "H|soy[F", "H|toq[F", "H|soy\\H", "H|tow\\H", "H|doy\\H", "H|poy\\H", "H|t_y\\H", "H|toyLH", "Htsoy\\d", "H~u[[VG", "H~u[[UH", "H~u[[Uo", "H~u[[US", "H~u[[SJ", "H~u[[UB", "H~u[[MB", "H~u[[MD", "H~u[[MS", "H~u[[NG", "H~u[W[L", "H~u[W[J", "H~u[W[F", "H~u[W[[", "H~u[W\\W", "H~u[W^G", "H~u[]QS", "H~u[]QH", "H~u[WwT", "H~u[WwX", "H~u[WxW", "H~u[Wyo", "H~u[WyS", "H~u[keP", "Hzu[kep", "Hzu[leB", "Hzu\\kMD", "Hzu\\kKF", "Hzu\\kMa", "Hzu\\kN_", "Hzu\\kK[", "Hzu\\kKU", "Hzu\\kLo", "HzuXkMb", "H|twwkR", "H|twwkT", "H|twwks", "H|twwmW", "H|twwkY", "H|twWkZ", "H|toyWN", "H|twzHD", "H|twzH`", "H|twzGs", "H|twzJG", "H|tw~B@", "H|tw~@c", "H|toy[F", "H|toy\\H", "H|soy\\d"}, $CellContext`UnsortedUnion[ Pattern[$CellContext`x, Blank[]]] := Part[ Reap[ Sow[1, $CellContext`x], Blank[], #& ], 2], $CellContext`crossings[{ Pattern[$CellContext`point, Blank[List]], Pattern[$CellContext`linelist, Blank[List]]}] := Map[{ If[ MemberQ[ Last[ Transpose[#]], True], Red, Green], Line[ Map[Part[$CellContext`point, #]& , Part[#, 1, 1]]]}& , Split[ Sort[ Flatten[ With[{$CellContext`lines = Subsets[$CellContext`linelist, {2}]}, Table[ Map[{#, $CellContext`SegmentIntersectionQ[ Map[Part[$CellContext`point, #]& , Part[$CellContext`lines, $CellContext`kk], {2}]]}& , Part[$CellContext`lines, $CellContext`kk]], \ {$CellContext`kk, 1, Length[$CellContext`lines]}]], 1]], First[#] == First[#2]& ]], $CellContext`SegmentIntersectionQ[{{{ Pattern[$CellContext`x1, Blank[]], Pattern[$CellContext`y1, Blank[]]}, { Pattern[$CellContext`x2, Blank[]], Pattern[$CellContext`y2, Blank[]]}}, {{ Pattern[$CellContext`x3, Blank[]], Pattern[$CellContext`y3, Blank[]]}, { Pattern[$CellContext`x4, Blank[]], Pattern[$CellContext`y4, Blank[]]}}}] := Quiet[ If[Length[ Intersection[ $CellContext`SegmentPoints[{{$CellContext`x1, \ $CellContext`y1}, {$CellContext`x2, $CellContext`y2}}], $CellContext`SegmentPoints[{{$CellContext`x3, \ $CellContext`y3}, {$CellContext`x4, $CellContext`y4}}]]] > 1, True, If[ Or[{$CellContext`x1, $CellContext`y1} == {$CellContext`x2, \ $CellContext`y2}, {$CellContext`x3, $CellContext`y3} == \ {$CellContext`x4, $CellContext`y4}], True, If[ Or[{$CellContext`x1, $CellContext`y1} == \ {$CellContext`x3, $CellContext`y3}, {$CellContext`x1, \ $CellContext`y1} == {$CellContext`x4, $CellContext`y4}, \ {$CellContext`x2, $CellContext`y2} == {$CellContext`x3, \ $CellContext`y3}, {$CellContext`x2, $CellContext`y2} == \ {$CellContext`x4, $CellContext`y4}], False, With[{$CellContext`LineIntersection = Solve[{Det[{{$CellContext`x, $CellContext`y, 1}, {$CellContext`x1, $CellContext`y1, 1}, {$CellContext`x2, $CellContext`y2, 1}}] == 0, Det[{{$CellContext`x, $CellContext`y, 1}, {$CellContext`x3, $CellContext`y3, 1}, {$CellContext`x4, $CellContext`y4, 1}}] == 0}, {$CellContext`x, $CellContext`y}]}, With[{$CellContext`LineIntX = FullSimplify[ Part[ Flatten[ ReplaceAll[{$CellContext`x, $CellContext`y}, \ $CellContext`LineIntersection]], 1]], $CellContext`LineIntY = FullSimplify[ Part[ Flatten[ ReplaceAll[{$CellContext`x, $CellContext`y}, \ $CellContext`LineIntersection]], 2]]}, If[ And[$CellContext`LineIntersection != {}, And[ Or[ Or[ And[ Positive[ FullSimplify[$CellContext`x1 - \ $CellContext`LineIntX]], Positive[ FullSimplify[$CellContext`LineIntX - \ $CellContext`x2]]], And[ Negative[ FullSimplify[$CellContext`x1 - \ $CellContext`LineIntX]], Negative[ FullSimplify[$CellContext`LineIntX - \ $CellContext`x2]]]], Or[ And[ Positive[ FullSimplify[$CellContext`y1 - \ $CellContext`LineIntY]], Positive[ FullSimplify[$CellContext`LineIntY - \ $CellContext`y2]]], And[ Negative[ FullSimplify[$CellContext`y1 - \ $CellContext`LineIntY]], Negative[ FullSimplify[$CellContext`LineIntY - \ $CellContext`y2]]]]], Or[ Or[ And[ Positive[ FullSimplify[$CellContext`x3 - \ $CellContext`LineIntX]], Positive[ FullSimplify[$CellContext`LineIntX - \ $CellContext`x4]]], And[ Negative[ FullSimplify[$CellContext`x3 - \ $CellContext`LineIntX]], Negative[ FullSimplify[$CellContext`LineIntX - \ $CellContext`x4]]]], Or[ And[ Positive[ FullSimplify[$CellContext`y3 - \ $CellContext`LineIntY]], Positive[ FullSimplify[$CellContext`LineIntY - \ $CellContext`y4]]], And[ Negative[ FullSimplify[$CellContext`y3 - \ $CellContext`LineIntY]], Negative[ FullSimplify[$CellContext`LineIntY - \ $CellContext`y4]]]]]]], True, False]]]]]]], $CellContext`SegmentPoints[{{ Pattern[$CellContext`x1, Blank[]], Pattern[$CellContext`y1, Blank[]]}, { Pattern[$CellContext`x2, Blank[]], Pattern[$CellContext`y2, Blank[]]}}] := If[$CellContext`x1 == $CellContext`x2, Table[{$CellContext`x1, $CellContext`y}, {$CellContext`y, Min[$CellContext`y1, $CellContext`y2], Max[$CellContext`y1, $CellContext`y2]}], Select[ Table[{$CellContext`x, (($CellContext`y2 - \ $CellContext`y1)/($CellContext`x2 - $CellContext`x1)) ($CellContext`x - \ $CellContext`x1) + $CellContext`y1}, {$CellContext`x, Min[$CellContext`x1, $CellContext`x2], Max[$CellContext`x1, $CellContext`x2]}], IntegerQ[ Last[#]]& ]]}; Typeset`initDone$$ = True), SynchronousInitialization->True, UnsavedVariables:>{Typeset`initDone$$}, UntrackedVariables:>{Typeset`size$$}], "Manipulate", Deployed->True, StripOnInput->False], Manipulate`InterpretManipulate[1]]], "Output", CellGroupingRules->{"GroupTogetherGrouping", 10000.}, CellChangeTimes->{3.760772792833317*^9}, CellID->310281307] }, {7}]]