3. cloth. 4. There are three drums containing 42 litres, 70 litres and 98 litres of water. Find the capacity of the largest container that can be used to measure water in the three drums by the exact number of times.
Answers
Answer:
14 times.
Explanation:
As per prime factors, HCF of given numbers gives us the capacity of the largest container: HCF(42,70,98)=2*7= 14
Hope it helps you.
Answer:
answer = 14 Jai shree ram ⢯⣹⣙⢮⢳⣙⢮⢳⣙⢮⢳⣙⢮⢳⣙⢮⢳⡙⣎⠳⣍⠞⣡⠏⡜⣡⢋⡜⣡⢋⡜⣡⢋⠼⡡⢏⡜⢣⡛⣜⢣⣛⡜⢧⣛⠼⣣⣛⠼⣣⣛⠼⣣⣛⠼⣣⣛⠼⣣⣛⠼⣣⣛⠼⣣
⢧⣓⢮⢧⣋⠾⣜⣣⡝⢮⣣⡝⢮⣓⢮⢣⢧⡹⢌⠳⡌⠚⡄⠊⠔⡀⠂⠄⠀⠂⠐⠠⠈⠐⠡⠊⢌⠱⡘⢬⠳⡜⣜⣣⠞⣭⠳⡼⣍⠷⡼⣍⠷⡼⣍⠷⡼⣍⠷⡼⣩⢗⡼⢭⡳
⢧⣋⣞⡲⢭⢳⣚⡴⣋⣗⡲⢭⣓⢎⣎⠓⠦⡑⠊⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠜⡰⢡⡛⢦⡛⡵⢪⣓⡳⢎⣳⢓⢮⣓⢳⢎⡳⣍⣳⠺⣜⣣⡝
⢧⢳⡬⣓⢏⡳⡜⠶⣍⠶⣍⡳⢎⡞⢤⠋⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠡⢎⠣⡝⣜⢣⢧⡹⣙⢦⣛⠮⣜⢫⣎⢳⢭⣒⠟⣴⢣⢞
⣏⠶⡳⢭⡺⣱⢋⡟⣬⡛⣴⡙⡎⡜⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⡘⢬⠓⣮⢱⣋⡞⣬⣛⣬⠳⣎⠽⡲⢭⠞⣥⡛⢮
⣎⠷⣙⢧⠳⣍⢯⠼⣡⠟⡴⣉⠖⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣖⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠢⡙⠴⣣⠳⡼⡱⢎⣖⠻⡬⢏⣳⢫⣝⡲⣝⣣
⢮⡹⣍⠾⣙⢮⠮⣝⡥⣛⠴⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣻⣂⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣨⠵⣌⣳⠱⡝⣭⢎⠯⡵⣋⢶⠳⣬⢳⡜⣲
⢧⠳⡭⡞⣭⢎⣗⠺⡴⣩⢒⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣯⢿⣋⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡫⢊⢭⡷⣷⢫⠼⡱⣎⢻⢴⣋⢮⣛⡴⣣⢏⡵
⢯⣙⢶⡹⢆⡯⣜⢳⡱⢃⠎⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡷⣻⡿⣿⣻⣿⣿⣿⠿⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⠈⢦⠼⣧⢋⣞⣱⢹⣚⠦⣏⠶⣣⢞⡱⣎⡳
⢧⣋⢶⡹⢭⠶⣙⢦⡹⣡⠊⠄⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⢰⡿⠱⣿⡟⠋⢀⣿⠟⣿⣜⣿⣾⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣃⡀⠀⠀⢓⠫⡜⢦⣙⠶⣩⢞⣥⡛⢶⣩⢳⢎⡵
⣇⢻⢤⣛⢧⣛⠟⣤⢣⡄⢃⠀⠀⠀⣧⣼⡀⠀⠀⠀⠀⠀⢿⡇⣻⣿⣇⣀⠿⣠⠿⠟⣿⣧⣀⡘⢿⡇⠀⠀⠀⠀⠀⠀⠀⠸⡟⠃⠀⠠⢘⠣⡜⢧⣸⢛⢧⡜⣤⠻⣇⡼⢣⡜⢧
⢮⡝⣲⠭⡶⣩⢞⡥⢳⡘⡄⠂⠀⠀⠉⢣⢰⣶⡄⠀⠀⠀⢹⣵⢈⣿⡅⢻⣳⡴⡺⠝⠛⠿⠋⠛⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⣇⠀⠀⢌⠲⣩⠖⣥⡛⢮⡜⣖⠻⡴⢭⡳⢭⡳
⣳⢚⣥⡛⢶⣙⠮⣜⢧⡑⢆⠁⠀⠀⡀⠀⣯⢻⠉⡀⠀⠀⠀⢾⢧⣛⢿⣸⣿⡾⣁⣀⠀⣿⢇⣠⣜⡧⠀⠀⠀⠀⠀⠀⠀⠀⣿⠼⡆⠀⡌⢲⢡⡛⡴⣋⡗⢮⣍⠟⣜⠧⣝⠶⣹
⢧⣋⢶⡹⢣⡞⣹⡜⢦⡙⠦⡁⠄⠀⠈⠹⡈⡄⢣⠈⢆⡀⠀⠈⠻⣷⣼⣿⣿⣿⣿⣿⣿⠏⡿⣿⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣏⣧⠐⡌⣒⢣⡝⡲⡝⡼⢣⡞⣹⢎⡽⢪⡝⢶
⢧⣹⠲⣝⣣⠽⡱⣎⢧⡹⡱⠌⡄⠀⠀⡀⢘⡷⡈⢿⠇⠉⠀⠀⠀⠀⣿⣧⣿⡆⠀⠁⠀⠦⢰⠀⠀⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡼⣇⠲⣉⠶⣩⠳⣭⣙⠧⣝⠶⣩⢞⣣⡝⢮
⡳⢎⡽⡲⣍⠾⣱⠭⣖⢣⢳⢩⡐⡀⠀⠈⢣⢣⢡⠈⡜⣆⣀⣤⣄⠰⣿⣿⣿⣇⠀⠀⠼⣿⣿⠖⣰⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢹⡞⣻⡰⣍⠞⣥⡛⣦⢝⡺⢥⣛⠵⢮⡱⢞⣣
⡽⣩⠶⣹⡜⡝⣎⡳⢎⡏⢧⢳⠰⣁⠂⠀⠀⢣⣷⣷⠾⠛⣻⣿⣥⣸⣿⢿⠻⣿⣦⣄⡀⠉⠉⣰⣿⠟⠫⢄⠀⠀⠀⠀⠀⠀⠀⡘⣿⣭⢷⢬⡛⣴⢋⡶⢫⣜⠳⣎⢏⡧⣛⡼⣱
⡳⣥⡛⣵⢪⡝⢶⣩⠯⣜⢫⢎⡳⡌⡜⢠⠀⠛⣿⣷⡶⠛⠋⣻⣷⣼⠋⠃⣴⣯⣝⠻⠟⠛⠋⢀⣿⣷⣀⡀⢷⠦⢤⡀⠀⠤⠐⣡⢻⣷⠾⣧⢹⣒⠯⣜⡳⢎⡻⡜⢮⡱⣇⡳⢵
⣳⠲⣝⡲⣭⢚⢧⢎⡳⣍⡏⣞⡱⢳⣌⢃⠆⡄⠙⢿⣧⢴⡖⡟⡏⣧⣤⣴⣿⣿⣿⣷⣶⣖⣶⣿⠟⣿⣂⡤⣺⠀⠀⠈⠳⣌⠰⢥⣋⣿⡞⣳⢫⡼⣙⠶⣩⢏⡵⣋⠷⣱⢮⣙⢮
⢧⡛⢶⣙⡖⣫⠮⣍⡗⢮⡱⡭⢞⣣⢎⡭⣚⠴⣥⠾⡇⣿⢹⢹⠰⣷⢿⣏⣽⣶⣿⣭⢶⣨⣿⣽⡿⣿⢯⣿⠇⠀⠀⠀⠀⠘⣮⢳⡜⣺⣿⢛⣧⢳⡍⡯⠵⣎⡳⣍⣛⢦⡳⢭⣚
⢧⢫⣓⢮⡜⢧⣛⠼⣜⣣⡝⣞⣱⢣⡞⣱⢭⣚⣯⠀⣇⢿⢸⢿⢠⠻⣿⡿⣿⣿⠙⢿⡿⠟⣻⣿⣾⠧⣾⡏⠀⣱⡶⠦⠀⢄⣻⡧⢞⡥⣿⣛⣽⢣⡞⣭⢳⢣⡳⣍⢞⡲⢭⣓⢮
⣏⠳⣎⣳⢚⠧⣞⡹⢦⣓⠞⣜⠶⡹⣜⣣⢞⡜⣿⡀⢹⢼⣹⢸⣰⢿⣾⣏⣿⣿⡀⠈⠁⢰⣿⣿⡇⢾⣿⠃⣴⣿⡄⠀⠀⣠⣿⣿⡭⣞⣱⣟⣙⣷⢪⣕⢫⢇⢷⢪⡝⣎⠷⣩⢞
⣎⠟⣴⢣⢯⣹⠲⣭⢓⣎⢟⡬⢏⡳⢵⣚⣬⢛⣼⣇⠈⣟⣿⡾⣿⠛⢻⣏⣿⣿⢿⣆⠀⣿⣿⡿⣹⣿⡿⣵⣿⣷⣟⣄⣠⠿⣿⣟⣿⣶⣩⣿⣋⣯⢳⡜⣫⠞⣎⡳⢮⡱⢏⡵⣎
⣎⢻⢬⡳⣚⠶⣹⡒⢯⣜⠺⡼⣩⡝⣖⣣⠮⣝⣾⣿⡄⢻⣭⣧⣿⡀⣤⣿⠻⣿⣶⠿⣿⣿⠿⠀⠀⣽⠰⡇⠐⢿⣿⣟⣂⡶⠿⢿⣿⢻⡴⣻⣟⣹⣣⡝⣖⠻⣌⠷⣣⢏⡽⢲⢭
⢮⡝⣲⢭⢣⢯⡱⣝⣣⠞⣭⠳⣕⣺⠱⣎⡳⢎⣷⡿⢷⡌⢿⣞⣿⠀⠈⣿⠇⣮⣵⣗⣭⣿⣮⡀⢨⡟⠐⡭⠐⣪⣿⣿⣏⠰⢀⣶⠷⣋⢿⣹⣟⣹⣣⢞⡜⣏⢞⣱⠳⣎⢳⣋⡞
⣳⢚⡵⢎⣏⠶⣙⢦⢧⣛⡼⣙⠶⣩⣛⡴⢫⡝⣿⠀⠀⢹⣾⣯⣿⣥⣉⣿⣿⡈⠻⣹⢋⣴⠏⠀⣽⡇⢌⡰⢣⣼⣯⠶⣿⣷⡾⣵⠿⠛⢩⣻⡿⠚⡗⣮⢹⡜⣎⢧⣛⣜⣣⢳⣚
⢧⢫⡜⢯⡜⣭⣋⡞⢦⡳⢼⣩⠞⣵⢚⡼⢣⣽⡟⢄⠂⣀⢻⣿⣿⡧⡈⣻⠟⢗⡠⢴⡿⠃⣦⢇⣿⣷⣆⡜⣳⡯⣖⠟⢹⡿⣽⣧⠤⠒⠋⣷⣷⢽⡿⣜⢣⣞⡱⡞⣜⢦⡓⣧⡹
⡏⢧⡝⣣⢞⡱⣎⢞⣣⡝⣣⢎⡟⢦⣛⠼⣳⡏⠀⠀⠘⢢⣻⣿⣿⣇⣾⣿⡀⠀⠉⠉⠀⠀⣿⣻⣿⡍⠻⣷⣿⡟⣁⣰⢯⣗⣿⡃⠀⠀⢀⣼⣷⣾⡳⢎⡳⣬⢳⡹⡜⡶⣙⠶⣹
⣝⣣⠞⡵⢫⡵⢎⡳⢎⡼⢣⢏⡞⡵⢎⣻⡟⠀⠀⠀⠀⢠⣿⣯⣿⣿⣟⣿⣇⣀⣠⣤⣦⣀⣯⡽⣿⡄⣀⣼⣿⣷⡯⢿⣸⢼⣿⣄⠀⣠⠏⣿⣏⣸⢽⣩⢳⡜⣣⢗⡹⡼⣩⢞⡱
⡞⡴⣫⢝⡳⣜⢫⡵⣋⢾⣙⠮⣕⣫⠝⣾⠁⠀⠀⠀⠀⣼⣿⣰⣿⣯⡷⣿⡿⣿⠿⣿⣽⣿⣿⣱⣾⠛⣿⣿⣷⣻⣿⡏⡟⣾⢻⣍⢯⢁⠀⣿⠷⣿⢮⡱⣓⡞⣱⢎⠷⣱⣋⢮⢳
⡝⠶⣍⠾⣱⢎⠷⡜⣭⠶⣩⣛⡴⢭⣞⡏⠀⠀⠀⠀⢠⣿⡇⣿⣿⣿⣷⣿⣷⣚⡗⢴⢾⡟⢯⡴⣿⣿⣿⣿⣿⣷⣿⣯⡗⣿⢹⣿⣼⠾⢼⢇⣾⢣⢧⣛⡴⢫⡵⢎⡯⡕⣮⢣⢏
⣳⠲⣝⡲⡭⢞⡴⢳⡍⡶⢫⣝⡱⢮⣽⠇⠀⠀⠀⠀⣼⣻⢳⣿⣿⣯⣿⣿⣿⡉⢡⠨⣌⢓⣮⡥⣿⠟⣻⣿⣿⣿⣿⣿⢱⣿⠸⣿⡿⣤⢬⠼⣟⠮⣼⢩⣓⠮⣕⡺⢥⡳⢭⡺⣜
⢧⡛⢶⡹⣜⣣⡝⢧⠞⣭⣓⠮⡝⣶⣿⣦⡀⠀⠀⣼⢯⣽⣾⣿⣿⣿⠀⠈⣿⣿⣷⣰⢿⣿⡂⠀⢼⡡⢾⣿⣿⣿⣿⣿⢸⣿⠐⣿⡁⠾⠼⠀⢹⣏⠖⡯⡼⣹⢬⢳⠽⣸⢇⡷⣩
⢧⢫⢇⡷⣚⡴⡹⢎⣛⢦⡝⣺⣙⢾⣿⠉⠳⣤⣼⡯⢧⡏⣼⣿⣿⣿⡄⠀⢻⠉⠤⣞⣿⡿⠀⠀⡎⠀⢸⠓⣿⣿⣟⣿⡴⢺⡃⢹⣧⠀⠀⠀⢸⣏⢾⡱⣝⡖⣫⡝⣞⡵⣎⡳⡵
⣏⢮⣓⢮⠵⣚⡭⣛⣬⢳⡚⡵⢎⣿⣿⠀⢄⡇⡿⣜⣳⣏⣿⠛⠉⠀⢳⣀⣨⣖⠋⠉⠀⣦⣀⢢⣇⣠⣾⠀⡿⢽⣿⣿⣿⢹⡍⢺⢿⣆⣀⣀⡾⣎⢧⣛⢦⣻⡱⣞⡵⣺⣜⡳⣝
⣞⠲⣭⡚⡽⣌⡳⢵⣊⢧⣝⠺⣍⢾⡿⣖⣲⣾⣛⢦⣻⢴⣿⡵⠖⠚⠉⣻⡷⡎⡹⣉⠙⠷⣿⣿⣏⢁⣿⣿⣇⣸⠒⢻⣿⠌⡇⠘⣧⣇⣐⡍⢳⡝⣮⡝⣮⢳⡝⣮⢳⡳⣎⢷⣹
⣎⠟⣴⢫⠵⣎⢽⠲⡭⢞⣬⢛⣬⢻⡁⠀⠈⠳⣝⠶⣻⢸⡇⠀⢀⡠⠊⠀⠘⠪⢼⡥⣤⡔⠃⡿⣯⣹⡿⠿⣿⣿⣤⣼⣛⡇⡇⠀⣷⢭⣻⣿⢌⣻⢶⡝⣞⡧⣟⣞⣳⡽⣹⢾⣱
⣎⣛⢦⢏⡳⢎⣧⢛⡵⣋⠶⣫⡜⣻⠄⠀⠀⠀⢹⣞⡇⢸⣏⠲⠕⠊⠀⠀⠀⠀⢰⡁⣻⠆⠀⣧⣿⣿⢄⠀⢿⣿⣿⢿⡆⢣⣇⠀⣿⢮⡝⣿⡿⠽⣟⡾⣝⣾⢣⣟⣮⣽⣛⡾⣳
⡞⣜⢮⣙⢮⡝⢦⣛⡴⣋⢷⡱⢞⣽⣦⢠⢠⡀⠘⣯⠃⣾⣿⠀⢀⡠⢂⠔⠁⣠⣾⣾⣿⣦⣤⠉⣧⣎⠀⠀⠈⠙⠛⣿⣿⣿⣧⡀⣿⢮⡽⣻⣿⣲⣟⡾⣽⣺⢟⡾⣵⣳⢯⣽⣳
⡽⣘⢮⠵⣚⡼⣓⠮⢶⣙⠶⣙⡞⣜⡻⣦⣈⠋⢷⢾⡁⡯⢸⠤⢁⡲⠁⠀⠸⣽⣯⣽⣯⣷⣻⢿⢿⡏⠣⠀⠀⠀⠀⢿⣿⣽⣿⠀⢻⣷⢫⡷⣷⢤⣿⣽⣳⢯⡿⣽⣳⢯⣟⡾⣽
⡳⢭⣚⣭⠳⡼⣱⢫⣓⠮⣝⣣⠞⣥⢳⢣⢏⣷⣈⣿⠀⡧⢸⡇⠠⠂⠀⠀⠀⢈⠙⠟⢻⠃⢸⢸⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡓⢺⣯⢿⡽⣿⡙⣿⢾⡽⣯⣟⡷⣯⢿⡾⣽⣻
⣝⣣⢞⡲⢽⡱⣣⠗⣭⢞⡱⢮⡹⢎⢧⣛⡼⢆⡻⣼⠀⣇⠸⣷⢀⡠⠁⠀⡄⡜⠀⠀⢸⠀⢸⣸⣟⠀⠀⠀⠀⠀⠀⠀⠈⣷⢸⣍⠘⣯⡿⣽⣟⠺⣿⢯⣟⡷⣯⢿⡽⣯⣟⣷⣻
⡞⡴⣋⠾⣥⢳⢣⡻⡜⢮⡹⢖⣭⢛⡼⢦⡝⣎⠷⣹⢠⡇⢸⣿⡄⠀⠀⡜⢠⢁⠀⠀⢸⠀⡷⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣆⣘⣿⣟⣷⡟⠻⣿⣻⢾⣻⣽⢿⡽⣷⣻⡾⣽
⡝⠶⣭⠳⣎⡳⣝⡲⣝⣣⡝⡞⢦⣛⡜⢧⡺⢥⣛⣽⢸⡇⣸⣿⡗⠠⠎⢀⠆⡜⠀⠀⡼⠀⠇⣿⠁⠐⣇⠀⠀⠀⠀⠠⠀⡟⣿⢷⣼⣿⣞⣿⡟⢿⡿⣽⣻⣽⢾⣯⢿⣽⣳⢿⣻
⡽⣙⡖⡻⢴⣋⢶⣙⢦⢳⠼⣩⠗⡮⣝⠮⣵⢫⡖⣿⣼⡧⢼⣿⣿⠀⠠⠃⠀⠇⠀⠀⡇⢀⠃⣿⡆⠀⢳⠀⠀⠀⠀⢄⢳⡇⣿⣿⣿⣳⣯⣿⠛⣾⡿⣯⣟⣾⣟⡾⣟⣷⣻⣯⢿
⡳⣍⡞⣭⣓⢮⡓⣮⣙⠮⣝⣥⢻⡱⣎⢟⡴⣫⢞⡷⣿⣏⡿⢿⣿⡄⠀⠀⠀⠀⠀⠀⡇⢨⠀⢻⠇⠐⠄⢃⠀⠤⡐⠤⡹⣿⣿⡿⣯⡷⣿⡟⢳⣿⣟⡷⣯⣷⣻⣽⣟⡷⣟⣾⢿
⣳⢚⡼⡱⢎⡶⡹⢦⡭⣛⡜⣦⢯⡱⣏⢾⡱⣏⣾⢷⡇⣿⡧⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⠸⡐⡌⠄⠡⡀⠀⠑⢺⣿⣿⣟⡷⣟⣿⡛⣿⢿⣞⣿⣽⢾⣯⢷⣯⢿⣻⣽⣻
⢧⢫⢶⡹⢭⢶⡹⣣⢞⡵⣹⠖⣧⢻⡜⣧⢻⣜⣿⣸⢯⣿⢱⡟⣷⣿⠀⡠⠀⠀⠀⠀⠀⢸⠀⢠⡇⢃⠱⡈⢆⠑⠀⠀⠀⣿⣯⣿⡽⣿⣏⣻⣿⢯⡿⣾⣽⣻⢾⡿⣽⣻⡽⣷⣻
⣏⡳⣎⡽⢺⣬⢳⣝⡺⣜⢧⣻⡜⣧⢟⡾⣹⣞⡇⣿⣿⡟⣸⣯⡷⣿⡈⠀⠀⠀⠀⡂⠀⢸⠀⢸⡿⡈⢆⢳⡌⠳⠄⠀⠀⣿⣯⣷⢿⣿⣌⣿⣯⢿⣽⡷⣯⣟⣯⣿⡽⣯⢿⣽⣻
⢮⡵⣣⢟⡳⣎⠷⣎⢷⣹⢮⣳⡽⡽⡾⣽⣳⢯⡗⡟⢱⢏⣿⣹⡗⣿⣷⡀⠀⠀⠀⠀⠀⢸⢸⢸⣧⢣⠈⢄⠉⡂⢍⡂⠀⣿⣷⡿⣿⠷⣬⣿⡾⣟⡷⣿⣽⢾⣻⡾⣽⣟⣯⣷⢿
⣧⢻⡵⣫⠷⣭⡟⣾⣭⠷⣯⣳⠿⣝⣿⣳⢯⣟⡿⠁⡞⣼⡿⢏⡏⣿⣿⡋⠀⠀⠀⠀⡇⢸⡄⢸⠹⡆⠣⠸⡢⡉⠐⠤⠥⢻⣟⣿⣯⢳⣿⣯⣟⡿⣽⡷⣯⡿⣷⣟⡿⣾⣽⢾⣿
⡞⣇⣿⢱⡟⣇⡟⣷⡞⣿⢳⣏⡟⣿⣾⣹⢻⣾⡇⢸⢁⣿⢃⢹⣇⣿⣿⡇⠀⠀⠀⠀⡇⢸⠁⢸⡇⢱⠀⢱⠐⡈⢂⡀⠀⣰⣿⣿⡏⢻⡟⣾⣹⢻⣏⣿⣷⣿⢳⣿⢻⣷⢻⡟⣾
⡿⣵⣞⣯⢿⣝⡿⣵⣻⣽⣻⢾⣽⣳⣯⣟⣯⡿⢠⠞⣼⡏⢌⣷⢯⣿⣟⣿⣦⣄⣀⠀⠇⢸⠀⢸⣇⠈⢣⠀⠑⢌⠖⣈⣉⣸⣿⡿⣄⣿⣿⣻⣽⡿⣾⣻⣾⣽⡿⣯⣿⢯⣿⣟⣿
⣟⣷⣻⣞⡿⣾⡽⣯⢷⣯⣟⡿⣾⣽⢾⣽⣾⣷⡟⣪⡟⠁⣾⢏⡾⣽⣿⣽⡿⢸⡏⣇⠃⢸⣀⡸⣿⣆⠀⢧⠀⠀⠑⠠⠭⢅⣿⡗⣼⣿⡷⣿⣳⣿⣟⣯⣷⡿⣟⣿⣽⣿⢿⣾⣿
⣿⣞⡷⣯⣟⡷⣿⡽⣟⣾⣽⣻⢷⣯⡿⣾⣽⡏⣴⡿⠀⣼⡟⣿⣵⣿⣿⣿⡃⠻⠓⢿⡗⣎⢁⣷⠙⣿⣆⠈⠳⡀⠠⠤⠤⢻⣿⣈⣿⣷⣿⡿⣿⣽⣿⣻⣿⢿⣿⣟⣿⣾⣿⢿⣾
⣿⣞⣿⣳⡿⣽⡷⣟⣿⣳⣯⣟⡿⣾⣽⢟⠟⣴⡟⢨⡕⣾⢻⣧⣿⣿⣿⣿⣿⣯⠾⣿⣥⣟⠛⢿⡴⠿⣿⣷⣄⠈⠑⠒⠒⠹⡗⢻⣿⣿⣽⣿⣿⣿⣻⣿⣿⣿⡿⣿⣟⣯⣿⣿⣿
⣿⣞⡷⣿⡽⣷⣟⣯⣷⣿⠓⠛⣟⣫⡵⢋⣾⠟⣰⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⢭⠛⢶⣞⡩⠏⣤⣾⣿⡧⣝⠻⢶⣤⣤⣾⡟⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⡿⣿
⣿⣞⣿⣳⣿⣻⢾⣽⣾⠏⠉⣹⡽⢋⢴⡿⢋⣴⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣌⣻⠇⣎⢿⣿⣿⣿⣿⣿⢿⣶⣦⣀⣹⣽⡇⢿⣿⣿⣏⣽⣿⣿⣿⣯⣿⣿⣿⣿⣿⣻⣽⣿⣿
⣿⢾⡽⣷⢯⣟⣯⣷⣿⣶⡞⠉⣻⡾⠟⠛⣿⠞⠶⢾⣿⣿⣿⣿⣿⣿⡿⢟⠡⣦⡝⣉⣮⣼⣿⣿⣿⣿⣿⣿⣿⢛⣩⠙⠿⣿⣧⠘⣿⣄⣤⢹⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿
⣿⣻⣿⢯⣿⣟⣯⣷⣿⣻⣿⣾⣿⣿⣷⣾⣿⣦⣴⣿⣿⣿⣿⣿⣿⣿⣌⠛⠛⣉⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣥⠇⠐⠒⢿⣷⣬⣉⣩⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣯⣿
⣿⡿⣽⣿⣯⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⣶⣀⡿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣾⣿⣿⣿
⣿⣿⢿⣷⣿⣟⣿⣿⣽⣾⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⡿⣿