def main(): import bisect W = int(input()) weeks = [tuple(map(int, input().split())) for _ in range(W)] # Initialize DP. dp[i] is a dictionary with keys 0 and 1. dp = [{} for _ in range(W + 1)] dp[0][0] = [(0, 0)] for i in range(1, W + 1): current_a, current_b, current_c = weeks[i - 1] current_dp = {} for s_prev in (0, 1): if s_prev not in dp[i - 1]: continue for m_prev, g_prev in dp[i - 1][s_prev]: if s_prev == 1: # Only possible action is date new_m = m_prev - current_c new_g = g_prev + current_b new_s = 0 if new_s not in current_dp: current_dp[new_s] = [] updated = [] for m, g in current_dp[new_s]: if not (m <= new_m and g <= new_g): updated.append((m, g)) dominated = False for m, g in updated: if m >= new_m and g >= new_g: dominated = True break if not dominated: # Remove entries dominated by new entry temp = [] for m, g in updated: if not (m <= new_m and g <= new_g): temp.append((m, g)) temp.append((new_m, new_g)) temp.sort() current_dp[new_s] = temp else: current_dp[new_s] = updated else: # s_prev is 0; three possible actions # Action 1: School new_s_school = 1 if i < W else 0 new_m_school = m_prev new_g_school = g_prev key = new_s_school if key not in current_dp: current_dp[key] = [] updated = [] for m, g in current_dp[key]: if not (m <= new_m_school and g <= new_g_school): updated.append((m, g)) dominated = False for m, g in updated: if m >= new_m_school and g >= new_g_school: dominated = True break if not dominated: temp = [] for m, g in updated: if not (m <= new_m_school and g <= new_g_school): temp.append((m, g)) temp.append((new_m_school, new_g_school)) temp.sort() current_dp[key] = temp else: current_dp[key] = updated # Action 2: Arubaito new_m_arubaito = m_prev + current_a new_g_arubaito = g_prev new_s_arubaito = 0 key = new_s_arubaito if key not in current_dp: current_dp[key] = [] updated = [] for m, g in current_dp[key]: if not (m <= new_m_arubaito and g <= new_g_arubaito): updated.append((m, g)) dominated = False for m, g in updated: if m >= new_m_arubaito and g >= new_g_arubaito: dominated = True break if not dominated: temp = [] for m, g in updated: if not (m <= new_m_arubaito and g <= new_g_arubaito): temp.append((m, g)) temp.append((new_m_arubaito, new_g_arubaito)) temp.sort() current_dp[key] = temp else: current_dp[key] = updated # Action 3: Date new_m_date = m_prev new_g_date = g_prev new_s_date = 0 key = new_s_date if key not in current_dp: current_dp[key] = [] updated = [] for m, g in current_dp[key]: if not (m <= new_m_date and g <= new_g_date): updated.append((m, g)) dominated = False for m, g in updated: if m >= new_m_date and g >= new_g_date: dominated = True break if not dominated: temp = [] for m, g in updated: if not (m <= new_m_date and g <= new_g_date): temp.append((m, g)) temp.append((new_m_date, new_g_date)) temp.sort() current_dp[key] = temp else: current_dp[key] = updated dp[i] = current_dp max_g = -1 for s_final in (0, 1): if s_final not in dp[W]: continue for m, g in dp[W][s_final]: if m >= 0 and g > max_g: max_g = g print(max_g if max_g != -1 else 0) if __name__ == "__main__": main()