On the IS-IS IPv6 network shown in the figure:Multi-topology is enabled on all routers.

Comprehensive and Detailed In-Depth Explanation:

Understanding the IS-IS Network and IPv6 Route Summary Behavior

IS-IS Areas and Router Roles:

Area 49.0001 (Level-1-2): R1, R2, R4

Area 49.0002 (Level-1-2 & Level-1): R3 (Level-1-2), R5 (Level-1 only)

Effect of ipv6 summary 2000::/64 level-2 Command

This command on R1 and R2 summarizes the 2000::/64 prefix for Level-2 routers.

Instead of advertising the detailed 2000::4/128 prefix, R1 and R2 advertise only the summarized 2000::/64 route to other Level-2 routers.

Effect of ipv6 import-route isis level-2 into level-1 Command

This command allows Level-1 routers (like R3) to learn Level-2 routes (like 2000::/64).

R1 and R2 redistribute the 2000::/64 summary route into Level-1 IS-IS areas, making it available to Level-1 routers.

Route Distribution Analysis for Each Router

R4 (Does Not Have 2000::/64) ❌

R4 only advertises its Loopback0 (2000::4/128).

It does not need to install the summarized 2000::/64 route, as it originates from its own loopback.

✅ R4 does NOT have the 2000::/64 route.

R5 (Does Not Have 2000::/64) ❌

R5 is a Level-1-only router in Area 49.0002.

It does not have a Level-2 connection to learn the summarized 2000::/64 route.

Because R5 is Level-1 only, it can only receive routes if a default route is provided, which is not mentioned in the question.

✅ R5 does NOT have the 2000::/64 route.

R3 (Has 2000::/64) ✅

R3 is a Level-1-2 router, meaning it can learn both Level-1 and Level-2 routes.

Since R1 and R2 advertise the summarized 2000::/64 route into Level-2 and R3 has ipv6 import-route isis level-2 into level-1, R3 will install 2000::/64 in its routing table.

✅ R3 has the 2000::/64 route.

R2 (Has 2000::/64) ✅

R2 is a Level-1-2 router and has the ipv6 summary 2000::/64 level-2 command enabled.

This means R2 advertises the summarized 2000::/64 route to other Level-2 routers and installs it in its own routing table.

✅ R2 has the 2000::/64 route.

Final Conclusion:

✅ R3 has the route 2000::/64.

✅ R2 has the route 2000::/64.

❌ R4 does NOT have the route 2000::/64.

❌ R5 does NOT have the route 2000::/64.

Thus, the correct answers are: C. R3, D. R2.