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Erdős problem 540

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Is it true that if A⊆Z/NZA\subseteq \mathbb{Z}/N\mathbb{Z} has size ≫N1/2\gg N^{1/2} then there exists some non-empty S⊆AS\subseteq A such that ∑n∈Sn≡0(modN)\sum_{n\in S}n\equiv 0\pmod{N}?

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Problem row
sha256:d6b87214e25c10219e11d976b17c20b9616e56cb4b858eca5a44b978fbf015d3
Metadata
sha256:9653331fd8177e7a2811345ec3931297511d0dba2daa8b075b0926c6b14013b2
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:76edd66aa784bd710d7cec3262956de7fa72468185efaae79ffaa05b33042726
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sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
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36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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