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The Minumum Positive Value

Source: 1994 National High School Mathematics League, Exam One, Problem 12

March 2, 2020

Problem Statement

95 numbers a1,a2,⋯ ,a95a_1,a_2,\cdots,a_{95} are either 11 or −1-1. Then the minumum positive value of ∑1≤i<j≤95aiaj\sum_{1\leq i<j\leq95}a_i a_j is________.
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