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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣶⠦⠶⡶⢦⠤⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣠⣴⣶⣿⣿⣿⣿⣿⣿⣽⣽⣿⣿⣿⣿⣿⣭⣽⣭⣯⡭⡈⢙⣽⣶⣤⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣟⣟⣽⣾⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣟⠟⡻⣿⣿⣟⣟⣟⣿⡻⠿⠿⠿⠿⣍⠉⠉⠉⠙⠛⠛⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⡿⣾⣿⣯⣿⣿⣿⣽⣿⣷⣽⣿⣿⡿⣿⣿⣾⢿⣿⡷⣿⣿⣿⣿⣯⣭⡅⣠⣹⣢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣿⣟⣽⣿⣿⣿⣻⣿⣟⣟⣿⣻⣿⣝⣿⣯⣿⣻⣻⣿⣿⣿⣿⡪⡻⣿⣿⣽⣿⣿⣯⣻⣿⣶⣿⣖⣓⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⢿⣿⣟⣿⣿⣻⣿⣿⣿⠿⣿⣿⡿⣿⣿⢿⣿⡯⣿⣛⣿⣕⣿⣿⡿⣿⣿⣷⢿⡿⣻⣿⣿⣿⢿⣿⣿⡻⣿⡷⠷⠯⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡽⠹⠩⡝⡇⡿⢻⢻⢻⡛⣿⣹⣿⣿⣿⣿⣿⣽⣿⣯⣿⣿⣿⡿⣿⣿⣿⣿⣽⡿⣿⣯⣻⣿⣿⡿⣿⣿⣿⣿⣿⣝⡍⠩⠀⢘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⣓⣂⣀⣀⠀⣜⣀⣀⠐⠐⠓⣞⠨⣿⠿⣗⣿⣿⣻⣿⣿⣽⣿⣿⣺⣿⣿⣿⣿⣻⣿⣿⣿⣝⢿⣛⠻⣻⣿⣟⣟⣿⣿⣿⣤⣐⣒⣚⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠟⠻⠽⢯⣌⣶⣿⠿⡡⢴⣾⠛⢀⣷⡉⡟⣷⢊⢘⢀⡙⣷⣾⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⡿⣿⣿⣽⢋⣝⣿⡿⣿⢿⢿⣛⢿⣿⣗⢇⠟⢦⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣉⣉⣉⣸⣿⣿⣉⣉⢉⣿⠷⠶⠀⢸⣿⣿⢿⠀⠀⠀⠀⢸⠀⢀⡷⣿⣿⣿⢿⡿⡇⣿⣉⢾⣿⣿⠰⢶⡶⣿⣿⣿⣿⣹⣿⡀⠹⣿⣿⡹⣉⢷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡭⣥⣿⣾⣿⣿⣿⣿⣿⣿⣓⡃⠐⠀⣘⣯⣿⣚⣟⢒⣓⣒⣿⣒⢺⣟⣻⡧⡉⣿⡿⠍⡭⢭⠨⠹⢿⣝⢒⡞⠀⡖⣚⢷⣙⢛⣯⣦⠈⠻⢿⣿⣮⣧⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢩⣿⣿⣿⣾⣷⣿⣿⣿⣟⠒⠀⠐⠀⠉⡿⡟⠉⠹⣿⣟⣳⣶⣆⣴⠑⠀⢳⡄⠈⣷⡁⠁⠈⠀⢈⠙⣷⠀⣀⣀⣀⠀⢨⣷⠀⠊⣟⢣⠀⠀⠉⠛⠿⣿⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣗⡺⣿⣿⣿⣿⣿⣿⣿⡿⡏⠍⠁⢈⠀⠉⠁⣷⠩⠩⠨⢿⣷⣿⣿⡟⠀⠈⠅⠽⣹⣯⡵⣖⣶⣶⣶⡖⣿⡬⢭⡭⣽⣿⠭⣿⡠⠥⣼⣷⢧⠀⠀⠀⠀⠀⠙⠳⢄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⡏⡃⢀⣠⣬⣶⣶⣦⣍⢀⠈⢸⣘⣧⣿⣿⣏⠀⣀⠀⣃⣷⢿⣼⣽⣆⡲⡦⢵⣾⣿⠃⣧⣿⣿⡼⣿⣿⣇⣻⣿⣘⡆⠀⠀⠀⠀⠀⠀⠈⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢦⣾⠟⠻⠹⢰⣶⣆⡚⢷⡀⠠⠶⡞⣾⣿⠤⠀⠠⡀⢒⡞⠻⣷⠐⢻⣿⣮⡕⣷⣿⡖⣿⣿⣿⡏⣽⣿⣿⢶⣿⣿⢾⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣽⣿⣿⡯⡿⢿⢽⣽⣮⣯⣯⡟⠬⠅⢡⡀⣠⣽⣿⣧⠵⠁⠀⠀⠇⡍⢿⠀⠀⠤⠀⠏⠩⠬⠹⡤⠀⣿⢝⡿⡯⣾⣯⣿⣟⣯⣖⣺⣿⣕⠽⣯⣿⣬⣽⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣻⣿⣿⠷⠿⠿⣻⣿⣟⣿⣿⠆⠁⢠⣿⣿⡽⠿⡿⣿⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠒⠉⠊⢈⠋⠁⡋⣻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣷⣿⣿⣟⣹⣿⡆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⣿⣿⣿⣿⡭⢹⣿⣿⣻⣽⣿⡀⠀⢨⡇⠉⠍⢌⠼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣶⢶⠾⢦⣆⠂⠚⣿⣷⣽⡗⣿⡯⣿⠵⢿⣯⣯⣿⣿⣿⣕⣯⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⣿⣗⣿⣿⣿⡓⣒⣛⣽⣿⣿⢿⣯⠥⠀⠈⢶⡂⠐⣾⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠉⢙⣿⣌⣮⠽⣿⣍⢯⣻⣻⣯⠭⠥⣯⠬⣿⣿⣿⣟⣿⣻⣾⣏⢹⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣾⣿⣷⣿⣿⡇⡇⠴⣹⣿⣿⣾⣉⢹⣄⡀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⣀⣷⣶⣾⣿⣿⠈⠀⡉⣿⢙⣏⢾⣏⡉⡁⡁⣹⣿⣿⣳⣷⣿⣿⢞⣾⡌⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣿⣿⣿⣿⣭⠭⢭⣿⣿⣷⡒⢀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠇⠀⠀⠀⠰⡟⣿⢨⠽⢕⡟⠀⠂⣲⡟⠒⢺⣽⣷⣾⡶⠒⣺⣿⣯⣿⣿⣾⢽⣝⣿⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣟⣿⣿⣿⣧⣚⣾⣚⣿⣿⠬⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠐⣇⠈⢐⢰⡏⠁⠠⢠⡿⠤⣤⣿⣻⣟⣿⠥⣾⣿⣿⣿⣿⣿⣿⡾⡳⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡷⣿⣿⣿⣿⡿⣽⣿⢿⣿⣿⠶⠾⣿⣿⢉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠒⠛⠀⠤⠾⣛⣀⣽⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣯⣿⣿⣿⣿⣫⣫⣿⣿⢕⣿⣭⢹⡿⣿⣷⣐⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣢⣫⣿⣿⣟⣿⣿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⢟⢟⣿⣿⣷⡿⣟⢄⣻⡻⣿⣷⡬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⣛⣿⣿⡿⣿⣿⣟⢟⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣿⣿⣿⡗⣽⣿⣿⣿⣿⣕⡽⣍⢯⣿⣿⣿⢅⠠⠀⠀⠀⠀⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣬⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⡵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⣿⣿⠇⢸⣿⣿⣯⣺⣿⣿⣿⣿⣿⣿⣦⢟⣿⣯⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⣿⣿⣿⣿⣿⣿⣗⣟⣿⣿⣺⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⡆⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣤⣶⣾⣷⣿⣿⣯⣳⡤⣀⣿⡏⠀⢸⣿⣿⣿⣾⠯⣿⣿⣿⣿⣿⣿⣿⢷⣿⣩⠨⠽⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢏⣀⣻⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣯⢿⡀⠀⠀⠀
⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣖⢤⣘⣿⣿⣿⣷⣽⣿⣿⣿⣿⣿⣿⣷⣗⣭⡿⣬⣭⡯⣭⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⣿⣿⣿⣕⢒⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⡿⣿⣿⣇⠀⠀⠀
⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢻⡻⣿⣟⣿⢟⡿⣿⣾⣿⣷⣟⢶⠐⢐⣰⣇⣲⣗⣾⢐⣐⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣟⢽⣿⡺⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡯⡾⣿⢽⡄⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⡻⣷⣿⣟⢿⣿⣿⣿⣿⢷⡤⠀⠴⠑⠷⠶⠰⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⢿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢟⢟⢿⣿⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⣿⣿⣝⣿⣿⣿⣿⣷⣽⣄⠄⠀⠄⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢝⣿⡆⠙⠿⣿⣿⣿⣿⣺⣺⠟⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣟⢽⠈⢿⡆⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢾⣿⣿⣿⣿⣿⣾⣇⡀⠆⢀⣿⣿⣷⣿⣿⣿⣿⢿⣿⠁⠈⣿⣿⣿⢾⡇⠀⠀⠀⠹⣿⡿⣿⣉⣈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢏⣏⢾⠀⠀⣇⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣮⡶⣤⣿⣿⣿⣿⣿⣿⣿⡿⣿⡗⠀⠀⠀⠙⢿⣿⣻⠀⠀⠀⠀⠈⣿⡿⣶⣾⣽⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡏⠀⠀⣼⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣵⢝⢵⣿⡯⣯⠃⠀⠀⠀⠀⠀⠙⢿⡄⠀⠀⠀⢰⣿⠗⠉⠙⠿⣮⣧⡈⠻⣿⣿⣿⣿⣿⣿⣿⡯⣮⡇⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣫⣿⣿⣿⣿⣷⣿⣿⣿⣾⣾⣻⣻⣿⣻⣟⢿⣶⣄⡀⠀⠀⠀⠀⠀⠓⠀⠀⢠⡿⠁⠀⠀⠀⠀⠈⠙⠻⢦⠈⠿⣿⣿⣿⣿⣿⣟⣿⠁⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣾⣾⣿⣿⣿⣿⣾⣿⣿⣷⣽⣾⡿⣷⣤⣀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠈⠻⣿⣿⣿⣷⡏⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡟⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣾⡿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠃⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⠋⠀
*/
// skibidi rizz
#pragma GCC optimize("-funsafe-loop-optimizations")
#pragma GCC optimize("-funroll-loops")
#pragma GCC optimize("-fwhole-program")
#pragma GCC optimize("Ofast,no-stack-protector")
#pragma GCC optimize("-fthread-jumps")
#pragma GCC optimize("-falign-functions")
#pragma GCC optimize("-falign-jumps")
#pragma GCC optimize("-falign-loops")
#pragma GCC optimize("-falign-labels")
#pragma GCC optimize("-fcaller-saves")
#pragma GCC optimize("-fcrossjumping")
#pragma GCC optimize("-fcse-follow-jumps")
#pragma GCC optimize("-fcse-skip-blocks")
#pragma GCC optimize("-fdelete-null-pointer-checks")
#pragma GCC optimize("-fdevirtualize")
#pragma GCC optimize("-fexpensive-optimizations")
#pragma GCC optimize("-fgcse")
#pragma GCC optimize("-fgcse-lm")
#pragma GCC optimize("-fhoist-adjacent-loads")
#pragma GCC optimize("-finline-small-functions")
#pragma GCC optimize("-findirect-inlining")
#pragma GCC optimize("-fipa-sra")
#pragma GCC optimize("-foptimize-sibling-calls")
#pragma GCC optimize("-fpartial-inlining")
#pragma GCC optimize("-fpeephole2")
#pragma GCC optimize("-freorder-blocks")
#pragma GCC optimize("-freorder-functions")
#pragma GCC optimize("-frerun-cse-after-loop")
#pragma GCC optimize("-fsched-interblock")
#pragma GCC optimize("-fsched-spec")
#pragma GCC optimize("-fschedule-insns")
#pragma GCC optimize("-fschedule-insns2")
#pragma GCC optimize("-fstrict-aliasing")
#pragma GCC optimize("-fstrict-overflow")
#pragma GCC optimize("-ftree-switch-conversion")
#pragma GCC optimize("-ftree-tail-merge")
#pragma GCC optimize("-ftree-pre")
#pragma GCC optimize("-ftree-vrp")
#pragma GCC target("avx")
#include<bits/stdc++.h>
#define IOS ios_base::sync_with_stdio(false),cin.tie(NULL),cout.tie()
#define ll long long
#define ull unsigned long long
#define pb push_back
// #define endl "\n"
// #define int ll
#define F first
#define S second
#define db double
#define ld long double
#define short unsigned short
#define pii pair<int,int>
using namespace std;
const ll inf = 1e17,MOD=1e9+7,N=2e5+10,MN=1e9+7,lim=1e6;
const long db Pie=acos(-1);
//...and justice for all
int binpow(int a,int p);
void solve(){
int n,m;
cin>>n>>m;
vector<int>o(m+1),p(n+1);
for(int i=1;i<=m;i++){
cin>>o[i];
}
for(int i=1;i<=n;i++){
cin>>p[i];
}
vector<int>ans(n+1,-1);
vector<int>cur(n+1,0);
int k;
cin>>k;
for(int j=1;j<=k;j++){
int l,r,a;
cin>>l>>r>>a;
if(l<=r){
for(int i=l;i<=r;i++){
if(ans[o[i]]==-1&&cur[o[i]]+a>=p[o[i]]){
ans[o[i]]=j;
}
cur[o[i]]+=a;
}
}
else{
for(int i=l;i<=m;i++){
if(ans[o[i]]==-1&&cur[o[i]]+a>=p[o[i]]){
ans[o[i]]=j;
}
cur[o[i]]+=a;
}
for(int i=1;i<=r;i++){
if(ans[o[i]]==-1&&cur[o[i]]+a>=p[o[i]]){
ans[o[i]]=j;
}
cur[o[i]]+=a;
}
}
}
for(int i=1;i<=n;i++){
if(ans[i]==-1){
cout<<"NIE"<<endl;
}
else{
cout<<ans[i]<<endl;
}
}
}
main() {
srand(time(NULL));
IOS;
//freopen("c oins.in", "r", stdin);
//freopen("coins.out", "w", stdout);
int UwU=1;
// cin>>UwU;
for(int i=1;i<=UwU;i++) {
// cout<<"Case "<<i<<": ";
solve();
// cout<<endl;
}
cout<<fixed<<setprecision(10);
cerr<<"Time:"<<1000*((double)clock())/(double)CLOCKS_PER_SEC<<"ms\n";
}
// int binmul(int a,int b){}
int binpow(int a,int p){if(p==0)return 1;if(p%2){return ((binpow(a,p-1)*a)%MOD);}int res=binpow(a,p/2)%MOD; return (res*res)%MOD;}
Compilation message (stderr)
met.cpp:48:51: warning: bad option '-funsafe-loop-optimizations' to pragma 'optimize' [-Wpragmas]
48 | #pragma GCC optimize("-funsafe-loop-optimizations")
| ^
met.cpp:50:39: warning: bad option '-fwhole-program' to pragma 'optimize' [-Wpragmas]
50 | #pragma GCC optimize("-fwhole-program")
| ^
met.cpp:60:41: warning: bad option '-fcse-skip-blocks' to pragma 'optimize' [-Wpragmas]
60 | #pragma GCC optimize("-fcse-skip-blocks")
| ^
met.cpp:81:41: warning: bad option '-fstrict-overflow' to pragma 'optimize' [-Wpragmas]
81 | #pragma GCC optimize("-fstrict-overflow")
| ^
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
86 | #pragma GCC target("avx")
| ^
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fstrict-overflow' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-funsafe-loop-optimizations' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fwhole-program' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: bad option '-fcse-skip-blocks' to attribute 'optimize' [-Wattributes]
met.cpp:86:25: warning: ba
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