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--- pow:problem6s23 [2023/05/03 07:06] – mazur
+++ pow:problem6s23 [2023/05/03 07:08] (current) – mazur
@@ Line 1: / Line 1: @@
+<box 85% round orange| Problem 6 (due Monday, April 24)>
+Non-negative integers $d_i$, $i\in \mathbb Z$, satisfy the following condition:
+\[d_k=|\{i<k: d_i+i\geq k\}|\]
+for every integer $k$. Prove that there is a positive integer $n$ such that
+\[ d_k\in \{n-1,n\}\ \ \text{and}\ \ d_{k+n}=d_k\]
+for every integer $k$.
+</box>
+Only one solution was submitted, by Prof. Vladislav Kargin. His solution is different from our original
+solution. For details see the following link {{:pow:2023sproblem6.pdf|Solution}}.