Republic Power Group shares rise 11.74% after-hours after disclosing best-efforts securities offering.

think> Okay, let's tackle this query step by step. The user wants me to act as a financial analyst explaining Republic Power Group's stock price movement by linking it to recent news events. First, the stock performance: it's up 11.74242424% after-hours. I need to round that to two decimal places, so 11.74%. The trading period is after-hours. Now, looking at the news events. There are four reasons provided. Let me go through each one. Reason 1 is about Republic Power Group surging 30.37% with positive market sentiment. The article mentions financial results showing fluctuations and analysts questioning growth strategies. However, the summary says the stock surged, but the percentage here is higher than the actual performance given (11.74%). But maybe this is from a different time? The user's input says the stock is up 11.74% after-hours, so maybe this 30.37% is from a different period or a different article. Need to check the dates. The first reason's content mentions January 30, 2026, but the user's input doesn't specify a date. Hmm, perhaps the user's input is from a different time frame. Wait, the user's input is in Chinese, and the example is in English. Maybe the dates are in the news. The first reason's content says "On Friday, January 30, 2026," but the user's stock performance is "盘后 after-hour up 11.74242424%", so maybe this is from a different date. However, the user's input might be mixing multiple news events. I need to check if the news events are relevant to the current stock movement. Reason 2: The stock jumped 50.78% in after-hours trading following a securities offering. The company filed a prospectus offering up to 50 million shares. This seems directly relevant because it's about after-hours trading and a significant jump, which aligns with the user's 11.74% increase. But wait, the user's input is 11.74%, but the news says 50.78%. That discrepancy might be because the user's data is different from the news. However, the user's instruction says to use the given input. The input says the stock is up 11.74% after-hours, but the news in Reason 2 mentions a 50.78% jump in after-hours. Maybe the user's input is from a different time or the news is from a different event. But according to the user's input, the stock's movement is 11.74% after-hours. However, the news in Reason 2 is about a 50.78% increase in after-hours. This could be conflicting. Wait, perhaps the user's input is in Chinese and the numbers are different. Let me check the input again. Wait, the user's input says: "Republic Power Group盘后 after-hour up11.74242424%". So the stock is up 11.74% in after-hours. The news in Reason 2 says the stock jumped 50.78% in after-hours. That's a big difference. Maybe the user's input is referring to a different event, or the news events are from different times. But the user's instruction is to use the given input and the provided news events. So I need to check if any of the news events are related to the 11.74% increase in after-hours. Looking at Reason 2 again: "Republic Power Group Ltd (NASDAQ:RPGL) jumped 50.78% to $1.33 in after-hours trading on Thursday following the disclosure of a securities offering." So this is a specific event. The user's input is about an after-hours increase, so this news is directly relevant. However, the percentage in the news (50.78%) is higher than the user's input (11.74%). This discrepancy might be because the user's data is from a different time or there's a mix-up. But according to the user's input, the movement is 11.74% after-hours. However, the news in Reason 2 is about a 50.78% after-hours jump. So maybe the user's input is incorrect, or there's a mistake. Alternatively, perhaps the user's input is a different event, but the news events are from different dates. However, the user's instruction says to use the provided input and news events. Since the user's input is the stock movement, and the news events are to be evaluated for relevance, I need to check if the news events could be the cause of the 11.