Core Points - The main issue for the Liberal Democratic Party (LDP) is to regain public trust after facing failures in recent elections [1] - The new LDP president's ability to address economic issues, particularly price control and the "politics and money" problem, is crucial for restoring support [1] - The LDP is currently in a minority government situation, making cooperation with opposition parties essential for policy implementation [2] Group 1 - The LDP has lost public support, and regaining it is critical for future electoral success [1] - Economic management, especially regarding inflation and the "black money" scandal, is a significant challenge for the new LDP leadership [1] - The new LDP president must focus on collaboration with opposition parties to effectively govern, as the party lacks a majority in both houses of parliament [2]