No.1145 Sums of Powers
問題文最終更新日: 2020-07-31 21:20:44
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Problem Statement
You are given a sequence $A$ of length $N$ and an integer $M$.
For each $K=1,2,\ldots,M$, find $S_K:=\sum_{i=1}^N A_i^K$ modulo $998244353$.
Input
$N\ M$ $A_1\ A_2\ \cdots\ A_N$
Constraints
・$1\le N,M\le 10^5$・$0\le A_i\lt 998244353$
・All inputs are integers.
Output
Print $S_1,S_2,\ldots,S_M$ modulo $998244353$, separated by spaces.
Print a newline at the end.
Sample
Sample 1
Input
10 3 1 2 3 4 5 6 7 8 9 10
Output
55 385 3025
Sample 2
Input
3 14 1 5 9
Output
15 107 855 7187 62175 547067 4861095 43437347 389373615 501816968 484312792 170525208 558164364 140666768
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