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Erdős problem 1026

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For a sequence of nn distinct reals, determine the largest constant cc such that some monotonic subsequence always has sum exceeding (c−o(1))⋅(1/n)(c-o(1))\cdot(1/\sqrt{n}) times the total sum. Resolved as c=1c = 1.

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Problem row
sha256:1b2c3029f1038a9887f63c9d6a579c2029ab19cb73bd70188031c13fe9821c29
Metadata
sha256:27253cf836bd391904b96b090f8d8a6ad03348cc3f85770beffe92c7e0725e7f
Observation
sha256:9c8326e865b6017b103af7611c852a06776d81964979b8ab5a1b800cd550dff6
Content
sha256:e6c831352f628023d06a73576a26bc4a15070e69ce7d49cbd7998fc9ef562357
Repository
sha256:a956b84c437202e5a02cc9e036a621bd14a302b34a75758115730bdbb77c52a4
Projection
sha256:a4a96441668a9f8b33afbcb3f696a2639f5fae145f36ddc063d7f67d5fb87ce8
Source commit
36c6d0fef71a3fec84d9dcd5eeca4e22e378f7cb
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