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Erdős problem 509

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Let f(z)∈C[z]f(z) ∈ ℂ[z] be a monic non-constant polynomial. Can the set {z∈C:∣f(z)∣≤1}\{z ∈ ℂ : |f(z)| ≤ 1\} be covered by a set of closed discs the sum of whose radii is ≤2≤ 2?

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Problem row
sha256:57ef770493b44c4496f15e4a4f18893507bbf5306839cec29126470058d0c6ae
Metadata
sha256:576ec378f62f996eace6f95a5daf09f9ef886a13e42899c78fbc81f012d5492b
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:70dbd026ead1e870c497453dbf584fca748c149cb35386dfaaf52d5d92e612b4
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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