Kelly and Avril chose complex numbers to represent their songs' popularities. Kelly chose $508+1749i$. Avril chose $-1322+1949i$. What is the sum of their numbers?
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
Kelly and Avril chose complex numbers to represent their songs' popularities. Kelly chose $508+1749i$. Avril chose $-1322+1949i$. What is the sum of their numbers?
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
-814+3698i
Kelly and Avril chose complex numbers to represent their songs' popularities. Kelly chose $508+1749i$. Avril chose $-1322+1949i$. What is the sum of their numbers?
train