Question 1
A Hamilton circuit for the following graph
![](data:image/png;base64, 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)
◦ must contain the edge CD.
◦ must contain the edge FE.
◦ must contain the edge AB.
◦ all of these
◦ none of these
Question 2
Use the figure below to answer the following question(s).![](data:image/png;base64, /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCACuAM4DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6KKKACiiigAooooAKKKKAPn/wDa88e6hpOheHPBXh3W/EHhrxT4lvftUOveG9AvNauNItbFo7iW6a0to3M0TTfZLRo2KqRfZO9VdT6X8F/ibD8Yvhf4f8XR6fcaNcX8LLe6TdpIk2nXsTtDdWjiRI2LQzxyxElFyYyQMEVa074Y6BpXxH1fx3bx6gPEmrWUOn3csmrXclu8ERJiRbVpTAm0s5BSMEGWU5zLJuPBPwx0D4d3mu3GhR6hb/21ey6hd29xq13dW6zyzSzyvDDNK8dvvlnldhCqBi3IOBgA6uiiigAooooAqSatYw6rb6ZJe26alcwy3MFm0qiaWKNo1kkVM5ZUaaIMwGAZEBxuGbdfNXiHxZ8LPCn7cXhnbrPg/RvGepeGdV03VsXVrBqN1dSXOifYLe45EjytEr+Sj5YqG2DANfStABRRRQAV81ftC2FxdfH3wHbxaX8QPEtpf+GdakudE8FeLptGy9vdaYIbh1OoWkR2C7nQkMXbzUyGCKU+la4rx98HvDXxK1XSdT1kaxBqWlQ3FtaXmia9f6TMkU7QtNGXtJ4i6s1vCdrEjMYIxQBk/s5atfa18HtFn1O9uLrUo5r21uoLuVp5tPlhu5on097hiTdNaNGbU3RJNwbczEnzMn0uuf8AAHgDw78LPBuk+E/Cek2+h+HtKhFvZ2NsDtjXJJJJJLMzFmZ2JZmZmYkkk9BQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQB4p+0Wml2154Z1HxzYf298J4vOtNY0UWLagJtSuJrWLTJJbNFZ7qIOZ4hEqy4nubWTyj5Qmg81+E/jbxVf61Povg7xj4X8B+DdbmTUPh3oPi3w5Lez6jo7WUMpksHj1KAeQJFuZFtCpltYWhDpBG0MS+weKv+Ky/aC8FaJH89p4PsrjxXevH8rw3VxHNp+noxbh4pYZNZYhAWV7WIsyAhZcnwD4W0u6vPif8K9dtftFhba03iKwjMjJcNZ6lM98l0JoyPKlTU11NYWQpLELSF+G2SuAa3/COfG//AKKH8P8A/wAIO+/+XNH/AAjnxv8A+ih/D/8A8IO+/wDlzR/wkPif4O/8jfqH/CVeBY/ml8ZXTRQ6jp27+K/t4II4DbIQ2buLZ5avH5sISKa7r0rSdWsdf0qy1PTL231HTb2FLm1vLSVZYZ4nUMkiOpIZWUghgSCCCKAPNf8AhHPjf/0UP4f/APhB33/y5o/4Rz43/wDRQ/h//wCEHff/AC5r1WigDyr/AIRz43/9FD+H/wD4Qd9/8uaP+Ec+N/8A0UP4f/8AhB33/wAua9VooA8q/wCEc+N//RQ/h/8A+EHff/Lmj/hHPjf/ANFD+H//AIQd9/8ALmvVa5Tx18TND8AfYbW+n+169qe9dI8PWbo2o6tIm3dHbRMy7tu9S7krHEpMkrxxqzgA4rVrL4w6BpV7qep/E/4b6dptlC9zdXl34IvIoYIkUs8ju2tAKqqCSxIAAJNeFL428MaxrupXnxp0z/hYOp6teovw31/Q9Clt7e7tQtnbhtKP2iVtNlOoXKKL+WaBZjcWUkdy0Sw+T9FaT4B8ReMdVstc+Id5bqLSZLi08G6PcC50i2miYGG5lneCKa7nVwZF3hIY28krCZYEuG5XSfBVj8dbn443Wpy3EOheJoX+H9vdWDLG0mn2cdxDcSqHVis6X97qsO5l2stvCyoV+eUA9V+Htl4i07wB4atPF9/b6p4sg0y2i1i+tFCw3N6sSieRAEQBWkDkDYvBHyjoOgrivgv41vviD8L/AA/rWrxW9t4haFrTW7S0VhDa6pbu1vfwJlmysdzFPGGDMrBAVZwQx7WgAooooAKKKKACiiigAooooAKKKKACiivP/j34p1Twl8J9duNBuvsPiS/8jRdFvGjV0ttSvp47KzmkVgwMSXFxE7/K3yK2Ec4UgGV8B/8Aip/+Ex+IEn7z/hKtal/s52/ebdKtP9Ds/Jm/5aW0/kzX8e0BB/aTld24ySHir/ijf2gvBWtx/JaeMLK48KXqR/M811bxzahp7sG4SKKGPWVJQhme6iDK4AaLv/CfhbS/A3hXRvDeiWv2LRdHsodPsbbzGk8mCJBHGm5yWbCqBliScckmuV+PfhbVPFvwn1230G1+3eJLDyNa0WzaRUS51KxnjvbOGRmKgRPcW8SP8y/IzYdDhgAegV4V+0DpPwu+HfgBtR8Y2Vxc+Hp/EB1D/hDrSL7bH4m1S4ikijsU09wyTtLM4uRCgVTcxi4cgiWQ+v8AhPxTpfjnwro3iTRLr7bousWUOoWNz5bR+dBKgkjfa4DLlWBwwBGeQDVXxr8PfCvxK0qLTPF/hnR/FWmxTC5js9bsIryFJQrKJAkisAwV3G7GcMR3NAHP/ATwtqng74T6Fp2sWv8AZl+3n3jaOsiyJoyXE8k8emxshKNFaJKlqhTCFLdSqouFHoFef/8ACkfDeieFf7D8DRf8KtjW9/tCOfwVa21jtnKeW7vAYnt5t0fyETRSDhGADxxulTSfihfeFNVstA+Jo0fw9qV/MlrpGtWl0y6brcpYIsSeaAbe7dvnFmzSkq48qa48ucxAHpdFZPinxZofgbQrrW/Ems6f4f0W12/aNR1S6S2t4dzBF3yOQq5ZlUZPJYDqa4D7P4v+MPzzTah8PfA7/PAllMYdd1eFvlK3AkhDabEy72CxN9rxJExks5IniYA4r9pvxJ8Orq28M3GraLb/ABe127m1DRfDHw5j+zXttrOqCSNZpXjkV0iazNvKkl0+Fto5bkNlnCH1/wCHHgX/AIQfwroVnf33/CQ+JLPRbHSNQ8TXMWLzVPsyECSZyzOcvJNIFZ2w00hySxJq+JPgh8OvGOlaLpmv+AfC+uabokP2bS7PUtGtriGwi2ovlwI6ERLtjjG1QBhFHYVv+FvCeh+BtCtdE8N6Np/h/RbXd9n07S7VLa3h3MXbZGgCrlmZjgcliepoAq/ELxrY/DXwB4l8X6nFcT6boGmXOq3UVoqtM8UETSuqBmUFiqEAEgZxkjrWV8F/BV98Pvhf4f0XV5be58QrC13rd3aMxhutUuHa4v50yq4WS5lnkChVVQ4CqgAUc/8AGf8A4qrxV8OfAkXz/wBo61H4h1AJ8ssNhpTx3YmRj8v/ACEP7KhZcMzR3Mm0DaZI/VaAPKvh9/xRvxl+IHhJv3Vhq3keLtJU/uoh5w+z39vbx9G8u4t0u5nT/lpq6l1DOHl9Vryr4z/8Ur4q+HPjuL5P7O1qPw9qBT5pZrDVXjtBCin5f+Qh/ZUzNlWWO2k2k7jHJ6rQAUUUUAFFFFAHFeE/i3o3jPx/4r8IWFprEGpeGobWa8l1LS57KGQTy3USeQZlUzKGs5T5qAxMGXY7/MF5T4m/tL6T8LtV1yO68KeKNc0Lw7DbXHiHxHoVtb3VloqzMcidPPE7NFFsuJUhhkaOGWKRhtdc8V4s+Ifiv4afFP4n+O7j4W+IJtFPhmx0rS7mbUNMSLUb2yn1WSGFFjupLj/S5L20ggCwNI0koVolPWpr/gP4k6+fjN4HvfBlvBpvxRhilHivT9YhuLHRmn0e2069jmjkENxI0P2QyQmOIrP50au1t87IAegan+0vpOk+Mk0mfwp4ofw8/iCHwuPGltbW8+j/ANoyBVWItHO04UXDi0aUw+WlwGiZ1Ktg8KftL6T4o8ZaDojeFPFGk6b4kmvrfw74nvLa3k0rWWtg7kwSwTyOiywxS3ELzJGs0UbOhbgHitA+H3ju/tdS+HOq+Ff7K0W2+IEni6DximowT2d3Zf24NbiiSAMLhbkyMLZkeNY1VJJRNIQkUnKaNB47+G/wT+Hv/CVeB/7Iu/gvZO0Crq0FxF4tvYdMutKsLXT/AC90q/ajcq/76JJFkeGFIZjIzRgHsHxN/aX0n4Xarrkd14U8Ua5oXh2G2uPEPiPQra3urLRVmY5E6eeJ2aKLZcSpDDI0cMsUjDa65NT/AGl9J0nxkmkz+FPFD+Hn8QQ+Fx40tra3n0f+0ZAqrEWjnacKLhxaNKYfLS4DRM6lWx5/r/gP4k6+fjN4HvfBlvBpvxRhilHivT9YhuLHRmn0e2069jmjkENxI0P2QyQmOIrP50au1t87Jb0D4feO7+11L4c6r4V/srRbb4gSeLoPGKajBPZ3dl/bg1uKJIAwuFuTIwtmR41jVUklE0hCRSAHa+FP2l9J8UeMtB0RvCnijSdN8STX1v4d8T3ltbyaVrLWwdyYJYJ5HRZYYpbiF5kjWaKNnQtwDb8Vf8Vl+0F4K0SP57TwfZXHiu9eP5XhuriObT9PRi3DxSwyayxCAsr2sRZkBCy+f/BH4feO38NfBrwx4t8K/wDCJ/8ACqcJNqf9owXtvrjw6bdaXA1mI28xYpIrhrh2uEieMiOIRy73ki9A+Af/ABVVn4h+JT/PH43vUv8ASWk+d49GihSGwVXPzCKZVkvhCVQxPqMqMu8SM4B6rRRRQB5V+z//AMSSz8b+Ck+e08H+JrnTbORflRbW4hg1K3t44+kUVtDqEdoiAldlqpUICI09VryrWf8Aijf2jtC1VvlsPG2it4emmk+bF/YNNe2MMQXlfMt7jWHdmBX/AEWFQUYgS+q0AFef/Ezx1ocXn+B1sdP8Y+K9ZsmWPwbPKh+0Wsm+N57xSr+TYjDrJM6Mpx5aLLK8cMmV/wALD1T4u/6P8Mb7T5PC0n7m78fRXKzxITyy6ZH5bxXkqgFGldhBDI68XLRT26dr4K8FWPgbSpbW1luL68u5jd6jqt8yvd6jdMqq087KqgsVRFCqqpGiRxxqkcaIoB4rofgHx78MtV0fxR4rvLj4m6RpsMjppa3D3F34U3NIrNYKIPN1dlt5I4WnuGF4UguWi8x717avdPC3izQ/HOhWut+G9Z0/xBot1u+z6jpd0lzbzbWKNskQlWwyspweCpHUVrV5/wCKfh7qlrrt14q8E6p/ZGvTbZb7SLjaNL150UIn2v8AdvJDKIh5a3MGHG2HzVuY4I4aAPQKK4rwV8ULHxJqsvhrVhb6B49s4TPfeGpbpZJhEGVftVuSFNxaMzLsuFUDJ2OsUySRR7/izxTpfgbwrrPiTW7r7Fouj2U2oX1z5bSeTBEhkkfagLNhVJwoJOOATQBwHgT/AIqr47fEzXrj/mXPsPhGyt5P3nk/6LFqVzcRMf8AV+f/AGhaROij5v7OhZmb5Vj9Vrz/AOAnhbVPCXwn0K3161+w+JL/AM/Wtas1kV0ttSvp5L28hjZSwMSXFxKifM3yKuXc5Y+gUAc/8QvBVj8SvAHiXwhqctxBpuv6Zc6VdS2jKsyRTxNE7IWVgGCuSCQRnGQelZXwX8a33xB+F/h/WtXit7bxC0LWmt2lorCG11S3dre/gTLNlY7mKeMMGZWCAqzghj2teVeB/wDigvjL4v8ACUvyWHiXd4u0NU+WKPAgt9Tt0jXITbcNBds52+bJqshCs0crsAdBH8W9Gl+Li/DlbTWF106ZcaqbmbS54bExQvaqyx3Miqk7ZvYuITIF2uHKNtDdrXinim58V/8ADTXhLVLT4deINQ8N6ZoupaLca9Bd6YtvvvbjSpVmEb3izmKIWcwk/db8gbEkBzXtdABRRRQAUUUUAFFFFABRRRQB5p+0Pq19a/C++0XRr24sPEPimaHw1pl1Yysl3ay3jiF7yAKQ7taQtNeFVKnZaSEtGFLr6BpOk2OgaVZaZpllb6dptlClta2dpEsUMESKFSNEUAKqqAAoAAAAFea6z/xWX7R2haU3zWHgnRW8QzQyfLm/v2msrGaIry3l29vrCOrEL/pULAOwBi9VoAKKK8/8U/Fy3s9duvC/hPT/APhN/GdttF3pFheQxppIdQ0UuozM3+jRNvQhQsk7pveGCYRybQDn/wBqbVrHw78L49ae9t7bxDpGp2mqeHrUyrHd6rqFu/nDTLQ53+fewx3FniMMxS5kGyQFkY0nTNR/aD0qy1rXnuNF+H19Cklv4ThubK6Gt27qG8zULiBpkeBzsKQW03lyRZ895luGt4er8FfDmbQdVl8QeIdcuPFviyeE2/8AaVzBHBDZQsyvJbWUCDEMBkUMd7STOEhEs03kxFef/Zv/AOJN4E1DwbJ+5m8F61feHo7L732OwSUy6VDv58zGmT6ed25m+bEh80SAAHqtFFFABRRRQBz/AI18FWPjnSorW6luLG8tJhd6dqtiypd6ddKrKs8DMrAMFd1KsrJIjyRyK8cjo3z/APGzxzqPhq28O/Db4h3VvF4e1bU4Jb/4gXt5ZW1jLo1rIk80eo2xkQq1wyQ6dMVjFo/9oRNuUzrZD6gryrw7/wAVX+0d4u1U/wClWHhPRbPw9aTfc+y390xvdRhxwX3W66E+4hlGNqEN54oA9Voryr/hFtf+Df7/AMHWuoeLPCA/dDwNFJaRS6Wn8H9mSymJRErEhra4m2JGVFu0KwLbzdr4K8f+HfiLpUuoeHNWt9Ut4Jja3SRErNZ3CqrPb3ETAPBOgdd8MqrIhOGUHigDoK8q+PH/ABTH/CHfECP93/wiutRf2i6/u92lXf8Aod5503/LO2g86G/k3Aof7NQtt2iSP1WsnxZ4W0vxz4V1nw3rdr9t0XWLKbT7628xo/OglQxyJuQhlyrEZUgjPBBoA1qK8/8AgJ4p1Txb8J9CuNeuvt3iSw8/RdavFjVEudSsZ5LK8mjVQoET3FvK6fKvyMuUQ5UegUAFFFFABRRRQAUUUUAFFFeaftD6tfWvwvvtF0a9uLDxD4pmh8NaZdWMrJd2st44he8gCkO7WkLTXhVSp2WkhLRhS6gFX9nX/ifeFdc8dn/me9an8Q25TiKSw2RWmmzIp+ZPN0+0spmVzuEksmRH/q09K1bVrHQNKvdT1O9t9O02yhe5ury7lWKGCJFLPI7sQFVVBJYkAAEmuV8SeNfCvwh0rRdChit4LyaH7J4e8JaQsSXd8IVRRBZ2+5RtjVo9zfLFCnzyNHGrOuTpPgrWfHmq2XiPxxLcWlnDMl3p3gcNA9pZPGwa3nu3RSbi7RsvtEhton8vy1kkt0u3AKv/AAlOv/GT9x4OutQ8J+ED+9HjmKO0ll1RP4P7MilEqmJmBLXNxDseMKbdZlnW4h7/AMLeFtL8F6Fa6Po9r9ksLfcVVpGld3di8kskjkvLK7s7vI5Z3d2ZmZmJOtRQAV4V8X9V8VfCzVfGHjTwtpWj2WmwaZaX97HeRy3E3izUA0sMWn2scdzGLW7ZY7W3W4aGdpjdWsYR/sqxn3Wvmr9qj4aa5Jrtv8X5vF+nnwt8ONFudbt/COr+HH1S3W/gWSVtRRUvrUSXKwjy4hKWWI7nTaz7gAfStFVNJjvodKso9TuLe81JIUW6uLS3aCGWUKN7pGzuUUtkhS7kAgFmxk26ACiiigDlPiFceL1s9Ls/BkOnpf3175FzquqQm5t9LgEMshne2WaF7jc8ccARJFKm4EhysbK3P/s93sOt/Ds68LC3t7zV9Tv7m61C1aR4tYZLmSCPUY2kd3MFxDDDLAvmSLHbtBHG7Rxoa5X9rnwnffEzwl4S+H1l4ruPCieL/EC6bdtFYNdQ6jax2N5eTWNwUubeWOCZLRld4ZA5H7vhZHI9K+GfhzXPCXhWDSNbvfD939j2wWMfhnQ30iztrVERY4Vge5uMbdpwVZV2lQFG3JAOrrivGvw5m17VYvEHh7XLjwl4sghFv/aVtBHPDewqzPHbXsDjE0AkYsNjRzIHmEU0PnSlu1ooA8/8LfFy3vNdtfC/izT/APhCPGdzuFppF/eQyJqwRS0sunTK3+kxLsclSsc6JseaCESR7vQKyfFPhbS/GmhXWj6xa/a7C42llWRonR0YPHLHIhDxSo6o6SIVdHRWVlZQRwH/AAlOv/Bv9x4xutQ8WeEB+9PjmWO0il0tP4/7TiiESiJWIK3NvDsSMsbhYVga4mADwr/xRv7QXjXRJPktPGFlb+K7J5Pmea6t44dP1BFK8JFFDHozAOAzPdSlWcArF6rXj/xi1axt9K8BfFTSL23vtN0LU7a5n1CylUw3Wi3yi1uZHuVJC2kSzwai7HMbDTo2bbtWWP2CgAooooAKKKKACvnX9oHxfrPhv40eC9Mj8eeOPDPh7VvD+q3M9n4M8NQa1Mbq1ubBY5Cn9nXcqKyXsodiAmY4QNpJ8z6KrzTx98GLnxr4/wBJ8X2PxA8UeENS0zTLjSreLRItNeHyp5YZZ2IurOclna2txnOAIRtC7nLAFv4A6xeeJfg14T1688Q6h4o/tqyGr22p6tZW9neNa3JM9tHPFbgQiWOGSKJmjAVmjLADdivCviB8RPGWqeDfAnxz/wCJPceD3msrrQPDY027mvtMbVTHY2upzGB2fUJ4ob2TOnxJCp+1yos0rwwyv9K+A/Cc3gnwzBpNx4g1jxTcJNcXEmra9LHJdzNNO8xDGOONFVTJsRERVRFRQAFFcpq37OXw+13Vb2/vtFuLh7mZ7xLY6pdi0s7t2LNe2lsJfKtLvezv9qt0jmDySOHDSOWAOK8C/FTwT4K+3Xc0fxQ8S+INQ2C+1/WfhzrZvLpI93kxEQ6ZHFHFGHfbHFGiBnkcqZJZXfq/+GlvCP8A0CPiB/4bjxD/APINH/CU6/8ABv8AceMbrUPFnhAfvT45ljtIpdLT+P8AtOKIRKIlYgrc28OxIyxuFhWBrib1WgDyr/hpbwj/ANAj4gf+G48Q/wDyDR/w0t4R/wCgR8QP/DceIf8A5Br1WigDyr/hpbwj/wBAj4gf+G48Q/8AyDR/w0t4R/6BHxA/8Nx4h/8AkGvVaKAPl/8AZ1/aD8L+FPhHoXgu80rxwdS8Fwp4YuBD4B12VmW1RY7eeRUsm8lri2FtdeSxLRrcopJxuPquk/tB+F9a1Wy0+30rxxHcXcyW8b3fgHXbaFWZgoLyyWSpGuTy7sFUZJIAJqro3/FG/tHa9pS/LYeNtFXxDDDH82L+waGyvppS3K+Zb3GjoiqSv+izMQjEmX1WgD5/+HvjnxPoXxH1TRPEXjH/AITa70nwz/bPjTTtMtIrhPDmoyGJ7S00+O3t0uZYpoxqLLHKLifZb2xJUyjzur/4aW8I/wDQI+IH/huPEP8A8g1k/A79mKL4B4t9E+IvjDVdKkvbnUr7T9ZTS5v7Sup9xkuLq5SxS6mlLENvabd8iKSUXbXtdAHy/H+0H4X8TftDLrkOleOP7N8JeH7jRmkh8A67M017qE1rcywSRrZb4GghsbOT5wfMXUEI2+Wd/pf/AA0t4R/6BHxA/wDDceIf/kGj9mv/AInfw4PjmX57vx7ey+KzK3Dta3AUackiD5Uli0+OwhcJld8LHdISZH9VoA8q/wCGlvCP/QI+IH/huPEP/wAg0f8ADS3hH/oEfED/AMNx4h/+Qa9VooA8q/4aW8I/9Aj4gf8AhuPEP/yDR/w0t4R/6BHxA/8ADceIf/kGvVa5/wAa+NbHwNpUV1dRXF9eXcwtNO0qxVXu9RumVmWCBWZQWKo7FmZUjRJJJGSON3UA+X/il8QPDkGnanZ+GNK8YX2j+M72LQdU8C+I/Cms6JoV7JqtwlpNcDUJLAPp8rPcLI7K7RyHziITcXHnj2v4eeIPF/hHxVo/w+8fa1p/jDWr3RbjVLLxJpemHTftCWj2sFytzbGWRVlLXdvIrxMEfzJV8qERKZT/AIVnefFr/T/iXB52gz/NB8OrpLe406FR/qpL/Ct9quRlmKeY1rGxj2JLJbpdP1XgX4Y6B8Ovtz6RHqE13e7BcX+s6td6peSIm7y4jcXUssvlIXkZY92xWlkYKDI5IBz/AMR/EniK68f+GPAXhzUrfw9ca1pmo6tda5LaC7mgt7WWyheK3jZlRZ2OoK6TSiWNDBhoJQ/y63gHwR4l8Iarq0ms/EPWPHGm3UNutpb63YWEM1lKjTec4ktLeAOsivCNrISphJDHfhT4jfCHw78TrnQ9Q1KO4svEPh+aS60PxBpsxgvtLmkjMbvE/IZWUjfDKrwybVEkcgGKteBfBur+Evt39q+O/EHjX7Rs8v8At2DTovs23dny/sdpb53bhnfu+4uNvzZAOrooooAKKKKACiiigAryr/hWd58Jf9P+GkHk6DB80/w6tUt7fTplP+tksMqv2W5OFYJ5i2sjCTekUlw90nqtFAHP+CvGtj450qW6tYrixvLSY2mo6VfKqXenXSqrNBOqswDBXRgysySI8ckbPHIjt0FcV41+F9j4k1WLxLpJt9A8e2cIgsfEsVqskwiDM32W4AKm4tGZm327MBk70aKZI5Y6nhb4hapa67a+FfG2l/2Rr026Kx1e32jS9edFLv8AZP3jyQyiIeY1tPhxtm8prmOCSagD0CiiigDyr9or/iQ+FdD8dj/mRNag8Q3BfmKOw2S2mpTOo+Z/K0+7vZlVDuMkUeBJ/q39VrJ8WeFtL8c+FdZ8N63a/bdF1iym0++tvMaPzoJUMcibkIZcqxGVIIzwQa5X4CeKdU8W/CfQrjXrr7d4ksPP0XWrxY1RLnUrGeSyvJo1UKBE9xbyunyr8jLlEOVAB6BXlX7Sn/E7+HA8DRfPd+Pb2LwoIl4drW4DHUXjc/KksWnx38yF8rvhUbZCRG/qteVaz/xWX7R2haU3zWHgnRW8QzQyfLm/v2msrGaIry3l29vrCOrEL/pULAOwBiAPVaKKKACiqmratY6BpV7qep3tvp2m2UL3N1eXcqxQwRIpZ5HdiAqqoJLEgAAk15r9o8X/ABh+SGHUPh74Hf5J3vYTDrurwt8wa3McwbTYmXYpaVfteJJVEdnJEkrAGr4p+IWqXWu3XhXwTpf9r69DtivtXuNp0vQXdQ6fa/3iSTSmI+YttBlzuh81raOeOarfgr4T6T4Q1WXXrqe48UeMp4Ta3HizW4rdtSlt9ysLcNDFGkUAKIfJhRIywMjKZHkdt/wt4T0PwNoVronhvRtP8P6La7vs+naXapbW8O5i7bI0AVcszMcDksT1Na1ABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHlX7UniDxf4P+AXjnxJ4J1rT9B1rQ9FvtU+06hphvspDayybYl82NUl3KhV3EqDB3RODx3/inwnofjnQrrRPEmjaf4g0W62/aNO1S1S5t5trB13xuCrYZVYZHBUHqKwPjF8MV+MfgDVPCFx4j1jw3puqwy2moS6ILXzrm1lieKWAm4gmCqyyZ3IFcFRhhyDv+FtGvPD+hWthf67qHia7h3b9U1SO3S4nyxYbxbxRRDaCFG2NeFGcnJIBwH2jxf8AB75JodQ+IXgdPkgeyhM2u6RCvzFrgyTFtSiVd6hol+14jiUx3kkryr6VpOrWOv6VZanpl7b6jpt7Clza3lpKssM8TqGSRHUkMrKQQwJBBBFW6801b4X33hTVb3X/AIZHR/D2pX8z3Wr6Ld2rLputyli7Sv5RBt7t2+Q3irKSrnzYbjy4BEAel15V4V/4o39oLxroknyWnjCyt/Fdk8nzPNdW8cOn6gileEiihj0ZgHAZnupSrOAVi6rwL8SNL8efbreC31DSNa07YNQ0TWbRrW8tC+4AlT8ssRaOVFuIWkgkaGTy5HCEjlfjr/xTt58P/GsHF3o3iax02WOP5Hu7XU5k017dpByIlmurW7KEMrvYRAhSFkQA9Vryr9nX/ifeFdc8dn/me9an8Q25TiKSw2RWmmzIp+ZPN0+0spmVzuEksmRH/q0tftG6tfab8HtatdMvbjS9S12ay8NWuqWkrRzadLqV3Dp6XiFSCWga6EwUMpYxhQyZ3D0DSdJsdA0qy0zTLK307TbKFLa1s7SJYoYIkUKkaIoAVVUABQAAAAKALdcp46+IVv4K+w2kOl6h4l8QahvNjoGj+Sby6SPb50oM0kcUcUYdN0ksiIGeNAxkliR+f1b4iat4y1W98PfDj7Ob6ymeHUfE+sabcT6RYtGxVoYgrwi+nMivEyQzBYGjm850kRIJug8C/DPQ/AH266sYPtevansbV/EN4iNqOrSJu2yXMqqu7bvYIgCxxKRHEkcaqgAOf0n4X33ivVbLX/iadH8Q6lYTJdaRotpas2m6JKGDrKnmkm4u0b5BeMsRCoPKht/MnEuV+0oms2WgeE9X0nxVrGgpaeLfD1tdWGmtAkOpRXGt2ELxzu0TShQjuNsUkYYOyyb1O2vYK4r4m/B7w18XrbT7fxKNYkt7CZbmCLS9ev8ATF81ZI5Y5HFrPGJGjkhjdGfJRlyu0kkgHa0VU0nTIdF0qy0+3e4kt7SFLeN7u5kuZmVVCgvLIzPI2By7sWY5JJJJq3QAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHKeOvhnofj/wCw3V9B9k17TN7aR4hs0RdR0mR9u6S2lZW27tih0IaOVQY5UkjZkPn/AIsvrjWPCus/C/4tS/Z4/FtlNokHizw5p81tp12l2hgMZMhnWwuQ0qxIlxIyTNJCYmkd3gh9rrlPix4F/wCFofCzxl4N+3f2Z/wkWi3ukfbfK837P9ogeLzNm5d23fnbuGcYyOtAHgHh346aX8Udd8B3/iHUdPgv/hzZTar42tdIDSPpXieRX0iHTFjBkebzHm1hUih8ySR4LQqxWaIT+q/2Jrnxr/e6/H/Yvw2uOU8MXVk8Wo6xGPutfszjybaXJJsTGJGVIxO6rJcWY5/SvA+o+NvG/wANLq9+G9v8PLf4bTTyW9z5tlcQzrJYTWP2PTfIbeloRKspeZLdsW1sv2clm+z+60AVNJ0mx0DSrLTNMsrfTtNsoUtrWztIlihgiRQqRoigBVVQAFAAAAAq3RRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFcV8a/H198KvhH4v8AGmn6Tb67ceHtMn1VtOub1rNZ4oEMkqiVYpSreWrlRsILBQSoJYdrXn/7QPg7XPiL8DvHnhLw2mnvrXiDRbrSLdtUunt7eP7RG0LSO6RSt8iuzhQh3FQuVB3AA58/Fjx74Q8Q6PF4/wDAOj6P4Y1KaOw/4SHw54lfVFsr2a4gt7SK4gms7aTbPLOI1kiEu1sGQIhMi+wV4/c+EviL8TtV0GLxtZ+F/DHhjSdTt9VudK0TUbnV5tXlgbzrVTcSW9p9lWG5jt58KkplMYQlEDrL7BQAUUUUAFFFFABRRRQAUUUUAFFFFAH/2Q==)
An optimal Hamilton circuit in this graph has weight
◦ 6.
◦ 1,000,004.
◦ 10.
◦ 7.
◦ none of these