AIME Sum S_t Modular Arithmetic

2425MasterAlgebraNumber Theory

AIME I · 2009 · Problem 14

For $t = 1, 2, 3, 4$, define $S_t = \sum_{i = 1}^{350}a_i^t$, where $a_i \in \{1,2,3,4\}$. If $S_1 = 513$ and $S_4 = 4745$, find the minimum possible value for $S_2$.

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AIME Sum S_t Modular Arithmetic

2425MasterAlgebraNumber Theory

AIME I · 2009 · Problem 14

For $t = 1, 2, 3, 4$, define $S_t = \sum_{i = 1}^{350}a_i^t$, where $a_i \in \{1,2,3,4\}$. If $S_1 = 513$ and $S_4 = 4745$, find the minimum possible value for $S_2$.

0 students attempted0% solvedRating 2425