@Marco Latini


Programs

New Program
id_348e97a0_ccfd_4fd6_89f1_8796370f33db Begin id_04063c67_b152_47d9_a24b_b60a78c0e4bd a id_348e97a0_ccfd_4fd6_89f1_8796370f33db:s->id_04063c67_b152_47d9_a24b_b60a78c0e4bd:n id_22b63abe_55ef_4108_a7c1_93e268d7f19f b id_04063c67_b152_47d9_a24b_b60a78c0e4bd:s->id_22b63abe_55ef_4108_a7c1_93e268d7f19f:n id_8929d34e_0f00_45f6_9c94_5c2b4b1a92a3 c id_22b63abe_55ef_4108_a7c1_93e268d7f19f:s->id_8929d34e_0f00_45f6_9c94_5c2b4b1a92a3:n id_c2c0e199_d996_4df1_88e2_1e6ad20ddd9f x id_8929d34e_0f00_45f6_9c94_5c2b4b1a92a3:s->id_c2c0e199_d996_4df1_88e2_1e6ad20ddd9f:n id_73448721_07cc_47f9_9bba_53677536a21b x1 id_c2c0e199_d996_4df1_88e2_1e6ad20ddd9f:s->id_73448721_07cc_47f9_9bba_53677536a21b:n id_db1ce476_f0e8_4b78_8cb4_16af975873a3 x2 id_73448721_07cc_47f9_9bba_53677536a21b:s->id_db1ce476_f0e8_4b78_8cb4_16af975873a3:n id_efffa395_e3ec_4421_ad3b_a6b423289980 delta = (b+b)-4*a*c id_db1ce476_f0e8_4b78_8cb4_16af975873a3:s->id_efffa395_e3ec_4421_ad3b_a6b423289980:n id_04656185_9ed2_4ba5_a565_2aad0dc98ddf coefficiente variabile di secondo grado id_efffa395_e3ec_4421_ad3b_a6b423289980:s->id_04656185_9ed2_4ba5_a565_2aad0dc98ddf:n id_67b2e2e5_cd24_492f_be78_2abd194ace88 leggi = a id_04656185_9ed2_4ba5_a565_2aad0dc98ddf:s->id_67b2e2e5_cd24_492f_be78_2abd194ace88:n id_f88552d9_868f_438a_bbc4_569dc2538789 coefficiente variabile di primo grado id_67b2e2e5_cd24_492f_be78_2abd194ace88:s->id_f88552d9_868f_438a_bbc4_569dc2538789:n id_27767946_e6f7_436f_8259_c1d252f46c30 leggi = b id_f88552d9_868f_438a_bbc4_569dc2538789:s->id_27767946_e6f7_436f_8259_c1d252f46c30:n id_23badae7_fcf2_4203_9d15_ed7e5e8538b3 coefficiente termine noto id_27767946_e6f7_436f_8259_c1d252f46c30:s->id_23badae7_fcf2_4203_9d15_ed7e5e8538b3:n id_7008dcee_ae80_4d5e_be5d_cc2439d04864 leggi = c id_23badae7_fcf2_4203_9d15_ed7e5e8538b3:s->id_7008dcee_ae80_4d5e_be5d_cc2439d04864:n id_49b68f3b_ddc0_40c2_ac73_7387db64acc1 d id_7008dcee_ae80_4d5e_be5d_cc2439d04864:s->id_49b68f3b_ddc0_40c2_ac73_7387db64acc1:n id_f3dcd5a9_9a59_41f3_9744_26f2316617c9 d = (b*b)-4*a*c id_49b68f3b_ddc0_40c2_ac73_7387db64acc1:s->id_f3dcd5a9_9a59_41f3_9744_26f2316617c9:n id_95b609cf_944a_4496_9455_965c3432a60f equazione id_f3dcd5a9_9a59_41f3_9744_26f2316617c9:s->id_95b609cf_944a_4496_9455_965c3432a60f:n id_4eaccf8e_3f90_4978_b46d_715f7eca4774 x = 0 id_95b609cf_944a_4496_9455_965c3432a60f:s->id_4eaccf8e_3f90_4978_b46d_715f7eca4774:n id_02929c37_cab8_4d8c_82ce_ada8db38d559 y = a*x*x+b*x+c id_4eaccf8e_3f90_4978_b46d_715f7eca4774:s->id_02929c37_cab8_4d8c_82ce_ada8db38d559:n id_3e7a962f_59ad_40d9_877d_e291a67681c1 vx id_02929c37_cab8_4d8c_82ce_ada8db38d559:s->id_3e7a962f_59ad_40d9_877d_e291a67681c1:n id_c0cbade2_dc87_4fd3_8808_61d95f509ee7 vx = (-b)/4*a id_3e7a962f_59ad_40d9_877d_e291a67681c1:s->id_c0cbade2_dc87_4fd3_8808_61d95f509ee7:n id_49d94e5b_a16f_43b4_8ffa_fbc0fd66ef43 vy id_c0cbade2_dc87_4fd3_8808_61d95f509ee7:s->id_49d94e5b_a16f_43b4_8ffa_fbc0fd66ef43:n id_8ed2fb70_b19a_4348_bdfa_a24d603e1116 vy = -(b*b-4*a*c)/4*a id_49d94e5b_a16f_43b4_8ffa_fbc0fd66ef43:s->id_8ed2fb70_b19a_4348_bdfa_a24d603e1116:n id_691d6070_524d_4e1c_adc2_c82a5a3d2992 il vertice ha coordinate (vx;vy) id_8ed2fb70_b19a_4348_bdfa_a24d603e1116:s->id_691d6070_524d_4e1c_adc2_c82a5a3d2992:n id_5b8f75d6_12b5_4c76_a2f5_3ecfdaa8d19c asse id_691d6070_524d_4e1c_adc2_c82a5a3d2992:s->id_5b8f75d6_12b5_4c76_a2f5_3ecfdaa8d19c:n id_f2c6b23d_ed5d_40dc_8e77_93f6eb3bed34 asse = vx id_5b8f75d6_12b5_4c76_a2f5_3ecfdaa8d19c:s->id_f2c6b23d_ed5d_40dc_8e77_93f6eb3bed34:n id_551f5101_1ed7_487c_b0e2_fc10b319fb00 l'asse è uguale a vx id_f2c6b23d_ed5d_40dc_8e77_93f6eb3bed34:s->id_551f5101_1ed7_487c_b0e2_fc10b319fb00:n id_253bf100_800f_4a82_bb64_831705c73754 fx id_551f5101_1ed7_487c_b0e2_fc10b319fb00:s->id_253bf100_800f_4a82_bb64_831705c73754:n id_d79e304a_3078_4c31_bafa_2afefe5cc59f fx = vx id_253bf100_800f_4a82_bb64_831705c73754:s->id_d79e304a_3078_4c31_bafa_2afefe5cc59f:n id_73ae2475_508c_4048_9ae3_4427d196055b fy id_d79e304a_3078_4c31_bafa_2afefe5cc59f:s->id_73ae2475_508c_4048_9ae3_4427d196055b:n id_cb7d5a9f_bffd_4588_8df0_4af6c1e711eb fy = (1-delta)/4*a id_73ae2475_508c_4048_9ae3_4427d196055b:s->id_cb7d5a9f_bffd_4588_8df0_4af6c1e711eb:n id_aec2d2fa_2803_42c2_a34c_1b1fdfa8f15f il fuoco ha coordinate (fx;fy) id_cb7d5a9f_bffd_4588_8df0_4af6c1e711eb:s->id_aec2d2fa_2803_42c2_a34c_1b1fdfa8f15f:n id_87d88da3_032f_4b0b_ac0a_4644227a5233 d id_aec2d2fa_2803_42c2_a34c_1b1fdfa8f15f:s->id_87d88da3_032f_4b0b_ac0a_4644227a5233:n id_695317ea_f636_4076_ba3f_9fae0d0707e4 d = -(1-delta)/4*a id_87d88da3_032f_4b0b_ac0a_4644227a5233:s->id_695317ea_f636_4076_ba3f_9fae0d0707e4:n id_4e885b92_67bf_4978_868f_579d9882e287 d>=0 id_695317ea_f636_4076_ba3f_9fae0d0707e4:s->id_4e885b92_67bf_4978_868f_579d9882e287:n true_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287 id_4e885b92_67bf_4978_868f_579d9882e287:e->true_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287 true false_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287 id_4e885b92_67bf_4978_868f_579d9882e287:w->false_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287 false id_e66240ee_1f22_463b_990c_a19ec9ee38e3 d==0 true_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287->id_e66240ee_1f22_463b_990c_a19ec9ee38e3:n id_43609952_9690_44d1_9d5f_4321bdf383eb nessuna intersezione con l'asse x false_dummy_up_id_4e885b92_67bf_4978_868f_579d9882e287->id_43609952_9690_44d1_9d5f_4321bdf383eb:n true_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 id_e66240ee_1f22_463b_990c_a19ec9ee38e3:e->true_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 true false_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 id_e66240ee_1f22_463b_990c_a19ec9ee38e3:w->false_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 false id_926887df_baa4_42fc_a800_16ead7f4a697 x1 = x2 true_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3->id_926887df_baa4_42fc_a800_16ead7f4a697:n id_d4e7e527_8fdd_42a7_9cdf_06233ed257ba x1 = (-b-delta)/4*a*c false_dummy_up_id_e66240ee_1f22_463b_990c_a19ec9ee38e3->id_d4e7e527_8fdd_42a7_9cdf_06233ed257ba:n id_471256e9_7580_4e26_88b9_32ef9833d6ed x12 = 19 id_926887df_baa4_42fc_a800_16ead7f4a697:s->id_471256e9_7580_4e26_88b9_32ef9833d6ed:n id_d0158bd9_39c4_44bd_8563_aad84dbdd677 la parabola è tangente all'asse x nel punto x12 id_471256e9_7580_4e26_88b9_32ef9833d6ed:s->id_d0158bd9_39c4_44bd_8563_aad84dbdd677:n true_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 id_d0158bd9_39c4_44bd_8563_aad84dbdd677:s->true_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3:n id_29208217_6708_47db_8033_6ed1d4c72ca3 x2 = (-b*delta)/4*a*c id_d4e7e527_8fdd_42a7_9cdf_06233ed257ba:s->id_29208217_6708_47db_8033_6ed1d4c72ca3:n id_24b8cdc6_1d0c_4741_822c_e1006746abe8 la parabola interseca l'asse x nei punti x1 e x2 id_29208217_6708_47db_8033_6ed1d4c72ca3:s->id_24b8cdc6_1d0c_4741_822c_e1006746abe8:n false_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 id_24b8cdc6_1d0c_4741_822c_e1006746abe8:s->false_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3:n end_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 true_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3->end_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 false_dummy_down_id_e66240ee_1f22_463b_990c_a19ec9ee38e3->end_id_e66240ee_1f22_463b_990c_a19ec9ee38e3 true_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287 end_id_e66240ee_1f22_463b_990c_a19ec9ee38e3:s->true_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287:n false_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287 id_43609952_9690_44d1_9d5f_4321bdf383eb:s->false_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287:n end_id_4e885b92_67bf_4978_868f_579d9882e287 true_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287->end_id_4e885b92_67bf_4978_868f_579d9882e287 false_dummy_down_id_4e885b92_67bf_4978_868f_579d9882e287->end_id_4e885b92_67bf_4978_868f_579d9882e287 id_cc60f2fa_ad0e_46cb_9622_ecb11a539bbd End end_id_4e885b92_67bf_4978_868f_579d9882e287:s->id_cc60f2fa_ad0e_46cb_9622_ecb11a539bbd:n
New Program
id_de942578_1cfb_435c_89fc_3f65301b97c9 Begin id_834bdf4d_e572_424f_9eed_be23a02cf204 a id_de942578_1cfb_435c_89fc_3f65301b97c9:s->id_834bdf4d_e572_424f_9eed_be23a02cf204:n id_bba038cd_833b_4a23_bd51_8ef1b8b75ec8 b id_834bdf4d_e572_424f_9eed_be23a02cf204:s->id_bba038cd_833b_4a23_bd51_8ef1b8b75ec8:n id_a2facbf3_11fa_47f2_8946_00671015f5f6 c id_bba038cd_833b_4a23_bd51_8ef1b8b75ec8:s->id_a2facbf3_11fa_47f2_8946_00671015f5f6:n id_9ba09cea_32b3_4a02_aaaa_9bb2819d1664 xv id_a2facbf3_11fa_47f2_8946_00671015f5f6:s->id_9ba09cea_32b3_4a02_aaaa_9bb2819d1664:n id_7ae182a0_b1fe_4265_b8de_1aaf665840e4 yv id_9ba09cea_32b3_4a02_aaaa_9bb2819d1664:s->id_7ae182a0_b1fe_4265_b8de_1aaf665840e4:n id_c425dab2_6815_4ade_850b_8791f1301c32 xf id_7ae182a0_b1fe_4265_b8de_1aaf665840e4:s->id_c425dab2_6815_4ade_850b_8791f1301c32:n id_9f1b3380_d0a6_47f7_b06e_105b90816f38 yf id_c425dab2_6815_4ade_850b_8791f1301c32:s->id_9f1b3380_d0a6_47f7_b06e_105b90816f38:n id_fdee9cbc_1906_43df_b85c_9e8d6aa79722 x id_9f1b3380_d0a6_47f7_b06e_105b90816f38:s->id_fdee9cbc_1906_43df_b85c_9e8d6aa79722:n id_a655f6e4_e288_42b3_af67_eef12d2f347a y id_fdee9cbc_1906_43df_b85c_9e8d6aa79722:s->id_a655f6e4_e288_42b3_af67_eef12d2f347a:n id_e5d2940e_63c4_46d4_94ce_25908494a275 a id_a655f6e4_e288_42b3_af67_eef12d2f347a:s->id_e5d2940e_63c4_46d4_94ce_25908494a275:n id_8cb27305_50e7_4114_9944_8b024c8e1f78 b id_e5d2940e_63c4_46d4_94ce_25908494a275:s->id_8cb27305_50e7_4114_9944_8b024c8e1f78:n id_49beb828_9a7b_4dbc_8f31_d6eab5c13441 c id_8cb27305_50e7_4114_9944_8b024c8e1f78:s->id_49beb828_9a7b_4dbc_8f31_d6eab5c13441:n id_75d40ac7_dfa4_4c56_8c58_5c3cc15fd7ef "equazione parabola y="+a+"x^2+"+b+"x+"+c id_49beb828_9a7b_4dbc_8f31_d6eab5c13441:s->id_75d40ac7_dfa4_4c56_8c58_5c3cc15fd7ef:n id_cb013b08_c8e3_4571_b078_c7bbaf43ac6d xv = -b/2*a id_75d40ac7_dfa4_4c56_8c58_5c3cc15fd7ef:s->id_cb013b08_c8e3_4571_b078_c7bbaf43ac6d:n id_f2ba1537_16d5_4293_a2af_63123cb5da49 yv = -b*b-4*a*c/2*a id_cb013b08_c8e3_4571_b078_c7bbaf43ac6d:s->id_f2ba1537_16d5_4293_a2af_63123cb5da49:n id_0544b2be_9395_486d_8867_457d5ac62d9e "mostra il vertice di coordinate V("+xv+";"+yv+")" id_f2ba1537_16d5_4293_a2af_63123cb5da49:s->id_0544b2be_9395_486d_8867_457d5ac62d9e:n id_25743aa5_a920_4fdb_847e_7c87baa71b2e xf = -b/2*a id_0544b2be_9395_486d_8867_457d5ac62d9e:s->id_25743aa5_a920_4fdb_847e_7c87baa71b2e:n id_f20737a4_ff46_46ed_9fc2_1d04fa92a872 yf = 1-b*b-4*a*c/2*a id_25743aa5_a920_4fdb_847e_7c87baa71b2e:s->id_f20737a4_ff46_46ed_9fc2_1d04fa92a872:n id_801f84a4_4b86_41e9_a393_d5cb73034a32 "mostra il fuoco di coordinate F(xf;yf)" id_f20737a4_ff46_46ed_9fc2_1d04fa92a872:s->id_801f84a4_4b86_41e9_a393_d5cb73034a32:n id_f1f1222a_c18e_4e54_a56e_498a007a5972 x = -b/2*a id_801f84a4_4b86_41e9_a393_d5cb73034a32:s->id_f1f1222a_c18e_4e54_a56e_498a007a5972:n id_bafc2149_2359_473c_829d_a7401f461867 "mostra l'asse di simmetria" id_f1f1222a_c18e_4e54_a56e_498a007a5972:s->id_bafc2149_2359_473c_829d_a7401f461867:n id_5dea788f_ed65_411b_b5a6_b1de1b2b95a4 y = -1+b*b-4*a*c/4*a id_bafc2149_2359_473c_829d_a7401f461867:s->id_5dea788f_ed65_411b_b5a6_b1de1b2b95a4:n id_e244ff4d_cbdd_47bf_b345_84c24a945a45 "mostra la direttrice y==yv-1/4*a" id_5dea788f_ed65_411b_b5a6_b1de1b2b95a4:s->id_e244ff4d_cbdd_47bf_b345_84c24a945a45:n id_9a27314c_35b1_4c19_8bc8_b67a26dfc4a0 End id_e244ff4d_cbdd_47bf_b345_84c24a945a45:s->id_9a27314c_35b1_4c19_8bc8_b67a26dfc4a0:n
Equazioni secondo grado
id_745efad3_3ede_4268_aafb_a4501091b808 Begin id_94055c03_7e59_4dbb_9c99_90d988f4af09 a = 0 id_745efad3_3ede_4268_aafb_a4501091b808:s->id_94055c03_7e59_4dbb_9c99_90d988f4af09:n id_212319c6_d65a_4e5d_9b6f_809001ce617c b = 0 id_94055c03_7e59_4dbb_9c99_90d988f4af09:s->id_212319c6_d65a_4e5d_9b6f_809001ce617c:n id_86340824_c4f9_4237_ac79_8830fed8ba3f c = 0 id_212319c6_d65a_4e5d_9b6f_809001ce617c:s->id_86340824_c4f9_4237_ac79_8830fed8ba3f:n id_b5e74526_0550_4350_a040_ace0ae7519d6 delta = 0 id_86340824_c4f9_4237_ac79_8830fed8ba3f:s->id_b5e74526_0550_4350_a040_ace0ae7519d6:n id_44994604_db7d_4136_8081_9901ea3b0e07 x1 = 0 id_b5e74526_0550_4350_a040_ace0ae7519d6:s->id_44994604_db7d_4136_8081_9901ea3b0e07:n id_b40d64cb_a994_437e_b56a_41d1d6a5f095 x2 = 0 id_44994604_db7d_4136_8081_9901ea3b0e07:s->id_b40d64cb_a994_437e_b56a_41d1d6a5f095:n id_f034570f_13d9_4e2d_8c65_944d2938a584 a id_b40d64cb_a994_437e_b56a_41d1d6a5f095:s->id_f034570f_13d9_4e2d_8c65_944d2938a584:n id_9eb1b287_8c46_4696_ae66_5324877dbe89 b id_f034570f_13d9_4e2d_8c65_944d2938a584:s->id_9eb1b287_8c46_4696_ae66_5324877dbe89:n id_8218c631_a420_4db5_8f7e_e4378399562b c id_9eb1b287_8c46_4696_ae66_5324877dbe89:s->id_8218c631_a420_4db5_8f7e_e4378399562b:n id_f588d7d3_18dd_43a9_860a_0f6573a231f2 delta = b*b-4*a*c id_8218c631_a420_4db5_8f7e_e4378399562b:s->id_f588d7d3_18dd_43a9_860a_0f6573a231f2:n id_5c204e6c_a944_439c_a8d1_5fb2cced446d delta >=0 id_f588d7d3_18dd_43a9_860a_0f6573a231f2:s->id_5c204e6c_a944_439c_a8d1_5fb2cced446d:n true_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d id_5c204e6c_a944_439c_a8d1_5fb2cced446d:e->true_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d true false_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d id_5c204e6c_a944_439c_a8d1_5fb2cced446d:w->false_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d false id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 delta > 0 true_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d->id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:n id_5ed9efe9_2fea_4735_a1cb_594c3a8d9bb9 "Impossibile" false_dummy_up_id_5c204e6c_a944_439c_a8d1_5fb2cced446d->id_5ed9efe9_2fea_4735_a1cb_594c3a8d9bb9:n true_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:e->true_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 true false_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:w->false_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 false id_d8e7d4c6_0e6e_4730_a179_e1bcd075540c x1 = (-b+sqrt(delta))/(2*a) true_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5->id_d8e7d4c6_0e6e_4730_a179_e1bcd075540c:n id_5d001ea7_a460_43d0_821e_9a904869d0c6 x1 = -b/(2*a) false_dummy_up_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5->id_5d001ea7_a460_43d0_821e_9a904869d0c6:n id_88d8ee02_b23c_42f0_81c2_06ceec84c05e x2 = (-b-sqrt(delta))/(2*a) id_d8e7d4c6_0e6e_4730_a179_e1bcd075540c:s->id_88d8ee02_b23c_42f0_81c2_06ceec84c05e:n id_9e1d063c_a532_41f5_9fb2_43e2de1a1535 "soluzione 1" + x1 id_88d8ee02_b23c_42f0_81c2_06ceec84c05e:s->id_9e1d063c_a532_41f5_9fb2_43e2de1a1535:n id_31679644_0e66_4534_b57c_354b3e8a9df0 "soluzione 2" + x2 id_9e1d063c_a532_41f5_9fb2_43e2de1a1535:s->id_31679644_0e66_4534_b57c_354b3e8a9df0:n true_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 id_31679644_0e66_4534_b57c_354b3e8a9df0:s->true_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:n id_88d705e8_f5d6_4ce5_a994_a7ab6a9a4328 "due soluzioni coincidenti " + x1 id_5d001ea7_a460_43d0_821e_9a904869d0c6:s->id_88d705e8_f5d6_4ce5_a994_a7ab6a9a4328:n false_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 id_88d705e8_f5d6_4ce5_a994_a7ab6a9a4328:s->false_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:n end_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 true_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5->end_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 false_dummy_down_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5->end_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5 true_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d end_id_e6a543cb_570b_4a38_a76c_19c6b80cd4f5:s->true_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d:n false_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d id_5ed9efe9_2fea_4735_a1cb_594c3a8d9bb9:s->false_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d:n end_id_5c204e6c_a944_439c_a8d1_5fb2cced446d true_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d->end_id_5c204e6c_a944_439c_a8d1_5fb2cced446d false_dummy_down_id_5c204e6c_a944_439c_a8d1_5fb2cced446d->end_id_5c204e6c_a944_439c_a8d1_5fb2cced446d id_ca8c6f84_f919_432f_bf46_392a45cd4acc End end_id_5c204e6c_a944_439c_a8d1_5fb2cced446d:s->id_ca8c6f84_f919_432f_bf46_392a45cd4acc:n