cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccllllccccllcclllllcccccccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccclllcccccclllllcclllllllccccllcccccccccccccccccccccccccccccllllllccccccccccccccclccccccclllccccccccccccclcccllccclllcccclcccccccccccccccccccccccclllcccccccllccccclllllcccccclllccccllcccccccccccccccccllccccccccccccclcccccccllllccccccccccclllccccccllccccclcccccccclllcclllcccccccccccccccccccclccccccccccclcclcccccccccllcccccccccclccccccccccclllcccccccllcccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccclllccllclllccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccllccllccclllllccccccccllllllllllllllcccllllllcllllccccccccccccccccccccllllllcccllccccccccccccclllccllcccccccccccccclcccllccclllcccccccccclccccccccccccccccclllllllccccccccclccllllllllccccccccccclcccccccccccccllllllccccccccccccclccccccclcccccccccccccclllcclllllcccccccccccccccccccclccccccccccccccccccccclcccccccccclllcccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccllllccccclccccccccccccccccllllcccccccccccccccccccccccccccccccccccccllcccllcccccccccccccccccclccccccccccccccccclllccclllllllcllcccllllllllllllllcclllllllllllllccllcccccccccclcccllllclllllllccccccccccccclllccclccccccccccllcclccccccccccllcccccllcccccccccccccccccccccccccccccccccccclcccclllllcccccccccccccccccccccccclllllccccccccccccccccllcccclllccccccccccccccclllllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllllllcccccccccccccccccccllllccccccccccccccccccccccccccccccccccccclllcccllccccccccccccccllllclllllllccccllllllllllccclllllcccllllllllllllllllllllllllllllllllllllllcccccclllcccclllccllcccclcccccccccccccccccccccccccccccccclllccccccccccccccccccccccccclllccccccccccccccccccccccccccccclllllcccccccccccccccccccccccccclccccccccccccccccccccllcccccccccllccccccccccccccllcccccccccllcccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccclllccccllccccccccccccccccccccclllllllllccccccccccccccccclllllccccccccccccccccccccccccccccccclccccclllccccllccclccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcclllllcccccccccllccccclcccccccccccccccccccccccccccccccllcccccccccccccccccccccccccllllcclcccccccccccccccccccccclccclllccccccccccccccccccccccccccccccccccccccccclccccccccccccccccclllcccccccccccccccccccccccccclccccccccccccccccccccccccccccccccllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccclllccccccccccccccccccccclllccccccllllllcccccccccccccccclllllllcccccccclcccccccccccccccccccllccccccllccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcclllllccclcccllllllccccccccccccccllccccccllcccccccccclllccccccllccccllcccllccccccccccccccccccccccccccclccccccccccccccccccccccclcccccccccccccccccclccccccccccccccccccccccccccllllccccccccccccccccllccccccccccccccccccccccccccccccclllllcccccccccccccccccccccccccccccccllcccccccccccccccccclllccccclccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccccccccccccccclllllcccccccccccccccccccccccccccccccccccccccccccccccccclllllllccccccllllllccccccccccccccccllccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllloollllllllllllllllllllllllllllllllllllllllllllcllllllllllllllllllcccccccccccccclcccccccccccccccccccllcccccclccccclcccccccccccclcccccccccccccccccccclcccccccccclcccccccccclllcccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccccllcccllccclllcccccccccccccllccccccllllllllllcccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccclllcccccccccccccccccllllccccccclllcccccccccllllcccccccclllllllllcclllllllcclccccllccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooolllllllllllllllllllllllllllllllllllllllccccllllllllllllllllccccccccccllccclcccccccclccccccccccclcccccccccccclllccccccccccccccccllccccccccccccclcccclllcccllccccccccclllcccccccccllcccccccccccccccccccccccccccccccccclllccccccccccccccccclllccllccccllllllllllccccclllllllcccllllllllccccccccclllcccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccccllllccclcclllllllcccccccllllllllllllllllccccccccccllccccccllcccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllooooddoooollllllllllllllllllllllllllllllllllllllcccllllllllllccllllcccllcccccccccccclccccccccclcccccccccccccccclccccclllccccccllllllcccclllccclllcccccccccclllllccccllcccllccccccccccccccccccccccccccccccclccccccccccccccccccllccclcccccccccccccclllccllccccllcllllcclccccclccccccccccccccccccccccccccclllllccccllllccccclllllccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccclllllllcccllccllllllllllllccccccccccllllllllllllllllcccllllllllllllllllllllllllllllllllllllllllloooolooooooooooddddoooooooooooooooooooooolllllllllllllllllllllllllllllllcccllllllcccccccccllcccllcccccccccccccccccccccccccclccccccccclccllllllllccccllllcccccccccccccccccclllcccccccllccccccccccccccccccccccccccllcccccccccccccccccccccccllccclcccccclccccccccccccccccllllcccccccccccccccccccccccccccccccccccccccccccllcccccccccccccccclllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccccllccccllllllllccccccclllllccccclcccllllllllccllccccclllllllccclllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooddddoooooooooooooooooooooooolollllllllllllllllllllllllllllcclllllccccccccccccccclllcccccccccclcccccccccccccclcccccccccllllllllllcccclllllllcccccccccccccccllllllllccllllcccccccccccccccccclcccclllccccccccccccccccccccllccclcccllccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccclccclccccccccccccclllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccccccccccccccccccccccccccllcclcccllllllccclllllllccccllllllllllccllcccllllcllllllllccccllllllccclllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooodoooddddddooooooooooooooooooooooooooollllllllllllllllllllllllllllllclllllcccccccccclllllccccclccccccccccccccccccllccllccccclllllllllcccllcccllccclllcccccccccccllllllllcclllllllllccccllccclllcccclllcccccccccccccclllccccllccclcccllcccccccccccllllcccccccccccccccccccccccccccccccccclcccccccllcccccccccclccccccccccccclccclllllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccllcccclllcccllllllccclllcclccccclllllllllllllllccccllcllllllcccccclllllccclclllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooodddddddddddddddoodooddddddddddddddddooooooollllolllllllllllllllllllllllllllllllllllccclllllllllllcccccccccclllcclllllcccccccccllllllcccccccclccccccllllcccccccccccccllllllllllcccccllcccccccclllcccccccclclllccccccccccccccccccccclcclllccccccccccccllcccccccccccccccccclcccccccccccccccccccccccclllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccc
cccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccccccllcccccllllllccccccccllllllllllllccccccccccllllccccccllllllllllllllllllllllllllllllllccccllllcccccccclllllllllllllllllllllllllllllllllllllllooooooooooooooooooooddddddddddxxddddddddddddddddddddddddddddddooooooooooolloolllllllllllllllllllllllllllllccccllllllllllllllllllllllccccclllllccclllllllllccccccclllccccclllllccccccllccccllllllccccccccclllllccccccllllllcccllllllcccccccccccccccccccccccllllccccccclllllllccclllcccccccccccccccccccccccccccccccccccccllllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclcllcccccccccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccclllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclclllcccccccccc
ccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccclllllllcccccclllllllllllllllcccccccccllllccllllllllllllllllllllllllllllllllllllllllllccclllllllllllllllllllllllllllllllloooollooooooooooooooooddddddddoodddddddddxxxxxddddddddddddxxxxxxxxxxxxddddddddoooooooooooolllllllllllllllllllllllllllllllcclllllllllllllllllllllcccccclllllllllllcclllllcccclllllccccllllllllcccccccccllllllccccccllllllllllccccccllllclllclllllccccccccccccccccccccccccclllllcclllllllllccccllccccccccccclcccccccccccccccccccccclllllllccccccccccccclllcccllcllcccccccccccccccccccccllcccccclllccccccccclcllccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllccccccccccccccccccccccccccccccccccccllcclccccccccccccccccccccccccccllcccccccccc
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllllcccccccccccccclllllllccllllllllllccllllllcccccclllllllllllllllllllllllllllllclllllllllllllcllllllllllllllllllllllllllllllllllllllolooooloooooooooooooooodddddddddodddddddddxxxxxxxdddddddddxxxxxxxxxxxxxxxxxxdddddooooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllccccccllllllllllllllllllllclllllcccclllllclllccccllcccllllllccccclllllllllllccccccllllllllllllllcccccccccccccccclllcccccllllllllllllllllllcllllccccllccclllcccccccccccccccccccccccclllllccccccccccccccllcclllllllcccllcccccccccccccclllcccccccccccccccccllcllccccccccccccccccccccccclllcccccccccccccccccccccccccccccccccllccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccccccccccccccccccccccccccccccllllcccccccclccccccccllccclllcccccclll
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllccccccccccccllllllclllcccccccccccccccllllllccllllllllcccccclllllccccclllllllllllllllllllllllllllllclllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooodddddddddddddddddddddxxxxxxxxddddddddxxxxxxxxxkxxxxxxxxxxdddddooooooooooooollloollllllllllllllllllllllllllllllllllllllllllllllllcccllllcccccccccclllllllllllcccccccccccccllccccllccllllllccccccllcllllllllcccllclllllllllllllllccccccccccclcccllllllllllllllllllllllllllcllllccccllllllllllllccccccllllccccclccccccccccccccccclllcccccccllllllcccccccccccccccccccllccccccllccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccllccccccccccccccccccccccccccccccclccccccclllccllllccclllll
cccccccccccccccccccccccccccccccccccccccccccccccccccccccclllllccccccccllllllllcccclllcccccccccccclllllcccllclllllllllccclllllllccccllllllllllllllllllllllllllllccllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooddddoooooodddxxxxxxxxddddddddddddxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxddddddodddooooooooooooooollllllllllllllllllllllllllcccllllllllllllllllcccllccccccccclllclllllllccccccllcccccccclllllllllllllllllllcclllclllllllllllllllllllllllccccccllcclccccccccccllllllllllllllllllllllllllllllllllllllccllllllccccclllllllcccllccccccccccclllccllllcccccllllllllccccccccllllllccccllcccccccllcccccclllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccccccccclcccccccccclccclccccccllccclccccccclllllllllllllllll
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllcccccccccccllccccccccccccccccccccllllclllllllcccllclllllllccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooddddddddddodddddxxxxxxxxxxxxdddddddddxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddooooooooooooollllllllllllllllllllllllllllllllllllllllllllccccccccccccclllccclllllllccccllllllllllllllllllccllllllllllllllllllllllllllllllllllllllllccccclllllllllccccccclllllllllllllllllclllllllllllllllllllccclllllccllllcccccccclllccccccccccccllllllcccccccllllllllccccccccccllllcccclccccccccccccccccclllccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclccccccccccccccclcccccccllcccccccllcccccccccclllccccccccllllllcccccclllllllllclllllllllllllllllll
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccccccccccllllccccccccccccccccclllllllcccclllcccccllllllllllccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooddddxxxxddddddddddxxxxxxxxxxxxdddddxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxdddddddoooooooooollooooooolllllllllllllllllllllllllllllllllllllllllcccllcccccclccllllllccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllclllllllllllcccllllllllllllllllllllllllccccclllllllllllllclllllccllllccccccccccllcccccccccccccclllcccccclllllllllllcccllccccclllcccclccccccccccccccccclccccccccccccccccccccccccccccccccccccccccccccccccccclcccclcccccccccccccccccccccccccccccccccccccccccccclcccccccccccccccccccccccllllccccccccccccllcccccllllllllccccclllllllllllllllllllllllllllllllllllll
ccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllccccccccccccccccllllllllllccccllllllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooodddxxxxxxddddddddddxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxkkkkxxxxxxxxxxxxxxddddddddddooooooooooooooollllllllllllllllllllllllllllllllllllllllllllllllccllllllllllcllllcllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccllcllllcclcccccllllllllllllllllllcclllccccllccccccccccccccccccclllccclccllllllllllllllllllccccllllccccccccccccccccccccclcccccccccccccccccccccccccclccccccccccccccccclllccccllcccccccccccccccccccccccclccccccccccccccccclccccclccllccccccccccccccccccccllllcccclllccllllcclllllllllllcccclllllllllllcllllllllllllllllllllllllll
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccccccccccclllccccccccllcccccccllllcccllllllllllllccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooodddxxxxxxxxddddddddxxxxkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkxxxxxxxxxxdddddddddddoooooooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccclllllllllllllllllllllllllllllllllllllllccllllllllccllllllllllllllllllllllllllllllcclllllllllcccllcccccclllccccclclllllclllllllllccccccccllllccccccclllllllcclllcccccccccccccccccccccccccccccccccccccccccccccccllcccccclccccccccccccccllcclccccccclllllllcclcccccccccccllcccccccccccccllllcccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccclllccccccccccccllllllllccccccccllllcccllllllllcccclllllllllllllllllllclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooodddxxxxxxxxxddddddddxxxxkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxxxxxxxxxxxxxxxxddddddddddddoooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcllllllllllllllllllllllllllllllllllllllcclllllllllllllllllllllllcclllllllllllcllllllllllllllllllllllllllccllccccllcccclllllclllllllllcccllllllllllllccccllllcccccccccllllllllllccccllccccccccccccllllccccccccccccccccccllllllllccccccccccllccccccccccccclllcccccclllllllcccccccccllllccccccccccccccccccllllcccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccccccccccccccccccccccllccccccccccccccccccclllllccllllllcclllllllcclccccccccllllllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooddddxxxxxxxxxxdxxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxkkxxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxdxdddddddddoooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcclllllllllllllllllllllcccllllllllllllllllllllllllllllllllllcccllllllllllllllllcllllllllclllcccclllcclllllccllllclllccccllllllccclllccccllllllllcccccllllllllllllllccccllllccccclllcccccllccccccclcccccllllllllccllllccclllccccccccccccllclllllllcccccccccccccccclllllcccccccllcccccccclllllllllllllccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllcllccccllcccllcclllcclcccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooodddddxxddxxxxxxxxxkxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxkkkkxkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllclllllllllllllllccclllccccllllcccclllccllllccclllllllllllllllllllllllllllllclllllllcclllllcccllllllllccllllclllcclllllcclllcccccccclcccccclllllllllcccccclllllccccclllcccccllllllllccclllccccccccccclllllllllllllllllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccclccccccllcccccccccccccccccccccccccccccccccllcllccclccccccccccccccccclccccccccclllcclllllllllllllcccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooodddddxxxxxxxxxxxxxkkkkkkkxxxxxxxxxkkkkkkkkkkkkkkxxxxxxxkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddoooooooloolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccclllccccccccccllccccllllllllllllllllllllllllllllllllllllllllllllccllllllllccccllllllllllllllcllllclllllcccccccccllllllllllcccclllllllcccllllcccclllcccccclcclllllllllcccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
ccccccccccccccccccllllllcccccccccccccccccccccccccccccccccllllccccccccccccccccccccccccccclllllccccccccllllllllcllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooddddddxxxxxxxkkkkkxxkkxxxxxxxxxxxxxxxxkkkkkkkkkkkkxxxxxxxkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxddddddooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllccllllllllcccllcccccllllllllllllllllllllllllllllllccllllllllccllllllllllllllllllclllllllccllllllllllllllllllccccccllllllllllllccccclllllllcccllllcccclllllllllllllllllllllllllllllllllllcccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccclllccccccccccccccccccccccccccccccccccccllcccccccccccccccccccccccccccccccccccccccclllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllolllooooooooolooooolloooooooooooooooooooodddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkxxxxxxxxxxkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxddddoooooooooooolooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcclllllcccllllllllllllllllllllllllllllllcclllllllllllllllllllllllllllllllllllcccllllllllllllllllllccccllllllllllllllccccclllllllcccclllllllllllllllcllllllllllllllllllllllllllcccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
ccccccccccccccccccccccccccccccccccccccccccccccccccccccclllcccccccccccccllllccccccccccccccccccccllllccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxkkkxxxxxxxxxxxxxxxxxxddddoooooooooooooooooollloolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllccccclllllllllllllllllccllllllllllllllllllllllccclllllllllllllcclllllllllllcllllllllllllllllllllllllllllllllllllllllllllcllllllllllllllllllccccclllllllcclllllllllllllllllllllllllllllllllllllllllllllcllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllllcccccccccclllllcccclllccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooloooooooooooooooooooooooooooooooooooddoooddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxkkkkxxxxxxxxxxxxxxxxxxxxddddddoooooooooooooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccclllcclllccccccccccccccccccccccccccccccccccccclllccccccllllcccccccccclllllllcccccclllllllllllllllllllllllllllolllllllllllllllllllllllllllooooooooooloooooooooooooooooooooooooooooooooooddddodddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxddddddddooooooooooooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccccccccccccccccccccccllllccccccccccccccccccccccccccccccllccccccccccccccllcccccccllclllcclllcccccccllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddxxxxxxxxxxxxkkkkkkkkxxxxxxxxkkkkkkkxxxxxxxkkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxdddddddddddoooooooooooooooooooollllooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccclcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllllcllcccclllcccccccllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooodddddddooooddddddxxdddxxxxxxxxxxxxxxkkkkkkkxxxxxxxxkkkkkkxxkxxxxkkkxxxkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkkkkkkkkxxxxxxxxxxxxxxxxxxdddddddddddddddddoooooooooooooooolllooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
cccccllllcccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccccllccllllcclccllllllllllclllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooodddodoooodddoooooodddddddddddddddddddxxxxxxxxxxxxxxxxxxxkkkkkkkxxxxxxxxxkkkkkxxxxxxxkkkxxxkkkkkkkxkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddoooooooddooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll
ccccccccclllcccccccccccccccccccccccccccccccccccccccccccccccclccccllcccccccccccllccllllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooddddddddddoooddddooddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxkkkxxxkkxxkkkkxxkkkkkkxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddoddddddddoooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloolllooool
ccccccccccccccccccccccccccccccccclccccccccccccccccccccccccllcccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooddoddddddddddddooodddddddddddddddddxddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxkxxkkkkkxxkkxkkkkkkkxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooolllolllllllloooolllllloooo
cccccccccccccccccclllcccccccccccllllllcccccccccccccccccccllccccclllllllllllcccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooddddddddddddddoodddddddddddddddxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxkkxxxxkkkkxxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddoooooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooolooooooollllllllooooo
cccccccclcccccccccccccccccccccccllccccllcccccccccccccccccccccccclllllllllllllcccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooodddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxkkkkkkkxxxxkkkxxxkkkxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddoddddddddddddoooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooollllooooooooooooolloloooolll
ccccccccccccccccccccccccccccccccllllllcccccccccccccccccccccccccclllllllllllllcccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddodddddddddddooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooolllloooloooooooooooolooooooo
cccccccccccccccccccccccclllccccclllllllllccccccccccccccccccccclllllllllllllllcccccclllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxdddddddddddddddddddddddddoooddooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooollllooooooooolllloollloolloolooooooooooooo
ccccccccccccccccccccccccllllccccccclllllllccccccccccccccccccccclllllllllllllllcccccllllllllllllllllllllllllllllllllllllllloolllllloooooooooooooooooooooddoooddddddxxxxxxxxxxxxdxxxxdddddxddddxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxkkkkkkkkkxxxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxddddddddddddddddddddddddddoooooooooooooooollooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllollllllllllllllllllllooooooolllloooooooooolloooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccccccccllllccccccccccccccccccccccccllllllllllllccccllllllcllllllllllllllllllllllllllllllllooollllllooooooooooooooooooooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxxxxxxxxxddddddddddddddddddddddddddoooooooooooooooolloolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooollllllllooolllolllllllllooooooooooooooooooooooooooooooooooooooooooooooooooolooo
cccccccccccccccccccccccccccccccclllcccccclcccccccccccccccccccccccccccllllllcllcllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxdddddddddddddddddddddddodddoooooooooooooooolllolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooollllllllllllllolllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccllccccccllcccccccclllccccccccccccllcccllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooodddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxkkxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddxxxxdddddddddddddddddddooooddoooooooooooooooooolollllllololllollllllllllloollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloolllllllllllllllllllllllllllllllooolllllllllllooooooooooooooooooooooooooolllooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccccccccccccccccccccccclccccccccccllccccclccccllcllcclllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooodddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxkkkkkkkxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddxxxdddddddddddddddddddooooooodooooooooooooooooolllllloollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooolllllllllllllollloollllllllllllllllllllloollllllloooooolllolllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccccccccclccccccccccccllccccccccclccllccclllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxxxdddddddddddddddddddddddddddddooooooooooooooooooooollllllooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooolllllllllllllllllloolllllllllllllllllllllooollooloooooooollloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccccccccccccccccllcccclllcccccccclcccllcclllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooodddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddddddddddddddxxxxxxdddxxxxdddddddddddddddddddoooooooooooooooooooooooooooooolllollloollllollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloolllllllllllllllloollllloooollllllllollllloooooolllloooooollloolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccccccccccccccccccccccclllccllllcccccllllllcllllcccllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxdddddddxxxddddddddddddddddxxddddddddddxxdddddxxdddddddddddodddoooooooooooooooooooooooooolloooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllolllooollllllloooolllllooolloooooollllllloolllooooooooooooooooooolloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccccccccccllllllcccccccllcccccccccllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooodddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxdddddxddddddddddddddddddddddddddddddddxxxddddxxxxdddddddddddddddooooooooooooooooooooooooooooooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllollllllllllllllllllllllllllllllllllllloooooooolllloooooolllollloooooooollooooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccclcccccccccccccccccccccccccccllllccccllllllccccclllllcccccclllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooodddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxddddxdddddddddddddddddddddddddddxxxdxxxxddddxxxxxddddddddddddddoooooooooodoooooooooooooooooooooolllllllloooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooloooolllllllllollllolllllllllllllooooooooooooooooolloooooooooooooooooooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccllcccccclllllcccccccclllllllllllllllcllllllllllllllllllllllllllllllllloooooolloooooooooooooooooddddoooddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddxxddddddddddddddddddddddddddddddddddxxxxxxxxxxddxxxdddddddddddddddddddoooooooooooooooooooooooooooolllllllllllollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloolllloollllllllllllllllllllllllllllllooooooooooooooooolooooollllooooooooooooooooolllloooolloooooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccclccccllccccclllllllcclccccllllllccllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooddooooddddddddddddddxxxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddxxxxxxxxxxdxxxdddddddddddddddddddoooooooooooooooooooooooooooollllllllllllllllllllllllllllllloollllllllllllllllllllllllllllllllllllllllllllllllllllllcc:;;;;;;:;;;;;:::clllllllllllllllllllllllllllllllllllllllllllllllllllllllollllllllllloollllllllllllllooooolllloooooooooooooooooooooooooooloooooooooooolllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccllcccccccccccccccllllllllcccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooodddddddddddddddxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxddxxdddddddxdddddddddddddooooooooooooooooooooooooooooollllllooooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc:;;,'...............,:clllllllllllllllllllllllllllllllllllllllllllllllllllloolllllooooooooooooooollooooooooooooooooooooooooooooooooloooooollloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccclclllccccccccclllccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooddddddddddddddddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxdddddddddddddddddddddddddddxxdddxxxxxxxxxxxxxxxxxddxxxxxxddddddddddddddddoooooooooooooooooooooooooooollloooooolllllllllllllllloolllllllllllllllllllllllllllllllllllllllllllllllcc:;,'.....................,:lllllllllllllllllllllllllllllllllllllllllllooooolllollllllooooooooooooooolloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccllcccccccccllcccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooddooooddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxddxxddddddddddoooooooooooooooooooooooooooollllloooolllloollllllllloollllllllllllllllllllllllllllllllllllllllllllcc:;,'.........................':llllllllllllllllllllllllllllllllllllllllllooooooloollllloooooooooooooooolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccccccccccccccccllccccclllllllllllllllllllllllllllllllllllllllllllllllllllloolloooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxdddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddoooooooooooooooooollooooooooloooollllllllooollllllllllllllllllollllllllllllllllllllllllllllllllc:;;,''.................... ........;lllllllloollllooollllllllloolllloooolllollllolllooooooloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddddddddxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxdddddddddddddddddddddddddddddddxddddxxxxxxxxxxxxxxxxxkkxxxxxxdddddddddoooooooooooooooooooooooooollloooolllllllllollllllllllllllllllloollllllllllllllllllllllllllllcc:;;,''''.................... ........':lollllloolooooooolllllloooolllllooolloooooollllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccccccllcclllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxdddddddddddddddddddddddddddddxxdddxxxxxxxxxxxxxxxxxkkkxxxxxddddddddddddoooooooooooooooooooooooolloooolllooolllllllllllllllllllllllooollllllllllllllllllllllllllllc:;;;,,,'..............................'clllllooooooooooooooooooooooolllloolloooooollllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccccccccllccclllllllllllllllllllllllllllllllllllllllllllllllllllllllloollloooooooooooooooooooooooooooooooooddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxddddddddddddooooooooooooooooooooooooololllllooooolllllloooooolllllllllllllllllllllllllllllllllllllllllcc:;;;,'........................ ..  ..;llllllllloooooooolloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccclccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxxkkkkxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxddxxddddddddooooooooooooooooooooooooooooolllooooollllooooolllloolllooolllllllllllllllllllllooooolllllllc:;;,...''''..................... ...;lollllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooodddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkxxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddoooooooooooooooooooooooooooooooooooooooooollllllooooooolollllloolllllllllllooooooooollllc:;;,...',,,'...............   .  ...;loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccccclllcccclllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooolooooooooooooooooooooodoooododddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxkkkkkkxxxxxxxxkxxkkkkkkkkkkxkkxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddoooooooooooooooooooooooooooooooolooooooooolooooooooooooooooooooollllloooooooooollllll:;;,''',;;,'...............     ....:loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooodddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkxxxxxxxxxkkkkkkkkkkkxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxdddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxddxxxddddddddooooooooooooooooooooooooooooooooooooooooooooooooolloooooooooooollooolllllllollllllc:;;;,;;;;'................       .'cooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooodddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxkkkkkkkkkxxxxxkkkkkkkkkkkkkkkxxxkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxdxxxxxddddddddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolooollloolllllc:;;;;,,,,'.................       .;looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccllllccccclllllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxxxxkkkkkkxxxxxxxxxxxxxxkkkkkkkkkkxxxxxxkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkxxxxxxxxxxxxxdddddddoooooooooooooooooooooooooooloooooooooooooooooooooooooooooooooooooooollllccc::::;;,,,,''''...................      .,cllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllccccccccc::cccccllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccccccccccclllccccllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxkkkkkkkkkkkkxxkkkkxxxxxxxkkkxxxxxxkkkkkkkkkkxxxxxxxxxkkxxkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxdddddddddddddddxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkxxxxxxxxxxxxxxxddddddddddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllc:;;,,''''',,,,,'''',,'..................  .....,;::::cclllloooollllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollllloooooooolllccccc::;;;;;;::::::cclooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooooooooo
ccccccllccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooodooodddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxkkkkkkkkkkkkkkkkkkkxxxxkkkkkkkkkkxkkkkkkkkxxxxxxxxxxxxkxxkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddxxxxxxxxxxkkxxxxxxkxxkkkkkkkkkxxxkxxxxxxxxxxxxxxxddddddddddddddooooooooooooooooooooooooooooooooooooooooooooooooooooooollllc:;,'.....'''''',,''''',,,''.....................'',,,,;;;::ccccccccc:ccccllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllllllc::;;,,;cllllllllcccc::;,''..',:cc::clllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccclccclcccccllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddooooooooooooooooooooooooooooooooooooooooooooooooolllc:;,''....''''''''......''',,,,,,,''''''.........',,,,,''',,,,;;;::;;;,''''',,,;;:ccccccccccccccllllloooooooooooooooooooooollllllcccc::::::::;;;;;;;;;;;,.......'',,,;ccccc:;,''....',:llollooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooodddddddddddddddddddddddddddxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxkkxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkxxxxkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddooooooooooooooooooooooooooooooooooooooooollllcc:,,'.........''...........''',,,,,,,,,,,;;;;;;;,,'',,;;;,,,,,,,,,,,,,,,,'...........'''''''''''''',,;;:::cccccccclllllcccccc:::;;,,''''.................................;::;,,'...',;:cloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooooodddoooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooodddddddddddddddddddddddddddddddxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkkkkkkkxxxxkxxkkkkkkkkxxxkkkkkkxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxddddddddddddoooooooooooooooooooooooooooooooooolollc:;;,,'........................'''',,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,;;;;;;;;,,,''..................................''''''',,,,,,,'''...............................   ...     ..,;,,'...';clloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooodddoooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooodddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkxxxxkkkkkkkkkxxxxxxxxkkxxxxxxxxxxxkkxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxddddddddddddooooooooooooooooooooooooooooooolc:;,'''..........................''''''''''',,,,,,,,,,,,,,,,,,,'',,,,;;:::::;;,,''....... ...................................................................   ..             ..,;;;,,;:clooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccclcccclllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooodddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxkkkxxxxxxkkkkkkkkkkkkkkkkkkxxxkkkxxxxxkkxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddoooodooooooooooooooooooooooollc:;,''............................'''......''',,,,,,,''''''',,'','''''',,;;;;;;;;;,'....      ....................................................... ...                    ..',;:lllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddoooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooddoodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxkxxkkkxxxxxxxxxxxxxxxxxxxxxxkxxxkkkkkkkxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkxxxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddooooooooooooooooooooooooolc::;,''.''..........................''.......''',,,,,''''''...'''''''''''''',,,,,,,;;;,'...         ..............  ..............................                 ............';clllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooodoooddoooooooooooooooooooooooooooooooo
llllcccccccccclllccllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxkkxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddooooooooooooooooooooooolc:;,,,''..''..........................','....''''''''''''..............'''''''''''''''',,,'..                                 ..  ...............              .....',,;:ccccccccloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccccllllllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxdddddddoooooooooooooooooooolc:,,'''''................................''''''''''''''''..................''''''''''''''''','.                                                        ........',;;:cclllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooodoooooooooooooooooooooooooooooooooooooooooooooo
ccccccccllllllllllcllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxkxxxxxxkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxdddddddodooooooooooooooolc:;,,''''''.......''...'....'''''...........'''''','''''........................'''''''''..'''''..                                     ............''',,,;;;::ccclloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoddoooooooooooooooooooooooooooooooooooooooooooooo
ccccccllllllllllllcllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooodddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxdddddddddddooooooooolcc:;;,'''''''''''....',''''''',;:::;''...............'''..............................'''''''''..'''..          .....................''''',,;:::ccccclllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooooooooooooooodooooooooooo
ccccclllllllllllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddooooooool:;;;;,,'''''''''''''''',,,,,;;:cllllc;,''............'''....................................'''''''''''.  ....'''',,;;;;::::::::::cccllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooooooooooodddoooooooooo
cccccclccclllllccclllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddoooooooolc;,,;,,,,''''',,,,'',,,,,;:ccllloooolll:;,'........''''''....'....................................''''''...;:ccllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccclllllccccllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooodddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddoolc:;,,,,,,,,,,,,,,,,,,;;::clllooooooooolllc;,'..'''''',,'...............................................'''..:oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccllllcccllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddolcc::;;;;;;;,,,,,,;;::cclloooooooooooooolllc:;'''',,,,',;,...........................       ..................'cooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
ccccccccccllclllllllllllllllllllllllllllllllllllllllllllllllllloolooooooooooooooooodddddoodddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxddxxxxxxxxxxxxdddddddddddddddooocc:::;,;;;;;;;;;:cclllooooooooooooooollcc:;,,,''.'',,'..''.........................         ...................,loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
cccccccccclcccllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooodddoooooddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxdddddddodddddodoolc::;;;,,;;;;;::clloooooooooooooollcc:;;,'''.......................................            ..................:looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooooooooo
cccccccccccllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooddddddddddddddddxdddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxddddddooooodooooolc::;;;,,,,;;;:clooooooooooooolc::;,'''...............................''.......                  ......    ......,cooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooo
cccccccccclllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooddddddddddddddxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxxxxdddddddxdddddddddddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxdddddddoooooooooolcc:;;;;;,;;;:clooooooooollc:;,,''.........................................                      .....      ......;looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooodddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooodddddoooooooooooo
cccccccclllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooddddddddddddddddxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxxxxdddxxxxddxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxdddddddddoooooooolccc:;;;;:;;;:clooooollcc:;,'''.......................................... ...                    ...          .....,coooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooddddooooooooooooooooooooooo
ccccccclllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxddddolloodooooooddxddddddddddddxxxxxxxxxxxxxxxxxxxxxxxddxxxxxdddddddddddddddoodooolccc:;;;::;;:clllllc:;,,''.......................................         ...                                  ....':ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooo
ccccccclllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddxddddddddxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxddxxxxdddxdddooolcloddooollooddddddddddddddxxxxxxxxxxxxxxxxxxxxxddxxxxxxdddddddddddddddddooollc::;;;;;;;;;:::;;,''.......................................        .                                          .....;ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooooddoooooooooooooooooooooooooooddd
llccclllllllllllllllllllllllllllllllllllllllooooloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddxxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxdddddxxxdxxddddddooodddddooooddddddddxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddooooolc:::;::;;;;;;,,''.......................................... .       .                            .             .....;looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddooooooooooddooooooooooooooooooooooooooddd
lccclllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxxxxddddddddddddddddddddddddxxddddddxddddddddddddddddxxxddddddxxxxxxxxxddddddddddddddddddddddxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddooooollcc::;::;;;;;,'................................................                                   .               ...;looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoodooooooooooodddoooooooooooooooooooooooooddd
ccclllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooodddodddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxddddxxxdddddxxddddddddddxxxddddxxdxxdddddddddddddddddddddddxxdxxxxxxddxxdddddddddxxxxdddddxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxddxdddddddddoooollcc::;;::;,,,''''........................'.................... ..                                                   ...;loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoodddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddoooooooooooooooooooooddd
cclllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxdddddddddddxxdddddddxddddddddddddddddddddddddxddddxxdddxxxddddddxdddxxxdddddxxxddddddddxxxdddddxxxxxxxxxxxxxxxdxxdxxdddddddddddddoolc:;,;:;;,'................................................... ..                                                   ..:oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddoooooooooooddddooooooooo
cclllccccllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxdddxxxxxxxddddddxdddddddddddddddddddddddddddddddddddddddddddxxdddxxdddddddxxxddxddxxxddddddddddddddddddddddxddxxxxxxxxdddxxxxxxdddxxxxxddddddoolc:;:;,'.......''................................................       .....                                     .,cooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooodddddooooooooo
llllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddxxddxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxdddddxxxxxdddxxxxxxxxddxxxxxxxxddddxxxxxdddddddddddddddddddxxdddxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddxddxxxxxddddddddxddxxxdddddoolc;''............''......................................................                                    ..;looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooodoooooooddddddddoooooddooo
lllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxdddddxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxdddddddxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddxddddddddddddxxxxdddolc:,.......''''''...''.....................................................                           .  ..'cooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooodddoooddddooooooooooddooooooodooo
llllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxddxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxddddxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddxxxxxxxxddolc:;'..,,,'''....''.........................',;;;::cccccc::;,'...............                     .....':oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooooooooodoooooooddooooooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooodooo
lllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddxxddddxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxddddxxxdddddddxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddoooooddddxxxxdddddddddddodddddddddddddddddddddddddddddxxxxxxxddddddoolcclc:;'......''''..............'',,;:cclloooooooooddoooolc:;'................                 ...':oooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooodddoooooooooooooooooooooddooooooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooodddooddddddooddooooooooooo
lllllllllllllllllllllllllllllllllllllllloolllloooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddxxxxxddddxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooddxxxxxddddddddooddoooodddddddddddddddddxxxdddxxxxxxxdooooooddddddol:,'...',,,''''',,,,;;:cccllloooooddoodddddodddddddoooolc;'.............           ........':looooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooodddoooooooooodoooooddddddddddddddodddoooooooo
llllllllllllllllllllllllllllllllllllllllloolllooooooooooooooooooooooooooooooooodddoooddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooddddxxdddddooooodoooooodddddddddddddddddxxxxxxxxxxxddooolllooddddddolc::,;:::::cclllooooooodddddddddddddddddddddddddddddoooo:'............      ............,:looooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooodddoooooooooooooodddddddddddddooooooodooooodd
llllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddxxxdddddxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodoooooooooddddddddddoooodddooooooodddddddddddddddddddxxxxddddddoollclloodddddddoolllloooodddddddddddddddddddddddddddddddddddddddoooool;........   .      ..........',:loooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooodddoooooooooooooodddddddddddooooooooooooooddo
lllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddxxdddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooddddddddddooooddoodddddooddddddooooooddddooooddddddddddddddxxxddoooooooolllloooddddddddddxddddddddddddddddddddddddddddddddddddddddddddoooo:.......   ...     .........',:looooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooddoooooooooooooooooooooooooddoooooooooooooooooooooooooooodooooooooooodddooooooooooddddooodddooooooooooodoooooo
lllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooollllooddddddddddddoodddddddddddddddddddddddddddooooolllooodddddddddddxddddooooooolllloooooddddxxkkkxxdddddddddddddddddddddddddddddddddddddddddodo:'.........  ..   .........'';cooooooddddddoooooooooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooddooddooooooooooooodddooodoooooooooodddd
llllllllllllllllllllllllllllllllolooooooooooooooooooooooooooooooooooooooooooooooooodooooodddddddddddddddddddddddddddddddddddddddddddddxxxxdddxddxxddxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddooolllooooodddddddddddddddoooddddddddddddddddddddddddolclolllllllooddddddddddddddooloodolllooodooooodddxkkkkkxxddddddddddddddddddddddddddddddddddddddoooc'..........      ........'',:loddddooddddooooooooooooooooodddooooooooooodooooooooddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoddooooooodddoooooooooooooodooooooooddooddddddd
lllllllllllllllllllllllllllllllooooolllooollooooooooooooooooooooooooooooooooooooooodooooooddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddooooooooddddddddddddddddddddddoodddddddoddddddddddddddddolclllllllllooddddddddddddddoooodddoooooooooooodddddxxxkkxxxxxddddddddddddddddddddddddddddddddddddoc'..........      ........'',codddddddddddodddooodddooooddoooooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooodooooooooooodddoodddooooooooooooooooooooooooodoooooooooooooooooooooooooooooooooooooooooddoodddoooodddooooooooooooooooooooooodddooddddddo
lllllllllllllllllllllllllllllloooollllooooooooooooooooooooooooooooooooooooooooodoooooodooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddooooooodddddddddddddddddddddddddddooodddooooodddddddddddddddoolllloooloodddddddddxxxxdddddooddddddddooooodddddddddxxxxdxxxxdddddddddddddddddddddddddddddddddooo:'.........       ........',:lddddddddddddddddddddddddooooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooddddddoooodddooooooooooooooooooooooooooooooooooooooooodddoooooooodoooooooodooooodoooddddooddddoooddooooooooooooooooooodoooooooooo
lllllllllllllllllllllllllllloolllllllloooooooooooooooooooooooooooooooooooooooooooooooodoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxdddddddddddddddddodddddddddddddooodddddddddddddddddddddddddddddddddddddddddoooooooddddddddddddddddddddddddddddddddddoooddooooddddddddddddddddddoooodddoddxdddddddddxxxddddddoddxxxxddddddddddxddddddxxdddxxdddddddddddddddddddddddddddddddddddol;'.......          .......';lddddddddddddddddddddodddddoooooooooooooooddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooddoooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooddooddooooooooodooooooooodddddddddooooooodooooodooddddddoooooooo
lllllllllllllllllllllllllllloooooollllooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxdddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddoooooooddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddoddddddddddddddddddddddxxxxxxxxddddddddddddddxxxxxdddddddddxdddddddxdddddddddddddddddddddddddddddoc,...........       ......';lddddddddddddddddddddooddddooooooodddoooooddddoodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooodddoooooooddddddddooooooodddddddddddddddooodddooo
llllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxddddxxxxxxdddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxddodddxxxdxxxxddddddddddddxxxxxxxxddddddxddddoodddxxkkxxddddddddddddddddddddddol:,...........       ....',:lddddddddddddddddddddddoddddooodddddddddooddddooooooooooooooooooooooooooooooooooooooooooooooodddddooooooooooooooooooooooooooooooooooooooooodddddddooooooooooddooooooooooddooooodoooooooooooooooooooooooooooooooooooooooooooooodoooooooooooooooodooooooooddddddddoooooooddddooooooddoooooooddddoo
lllllllllllllllllllllllllllllllllloolloooooooooooooooooooooooooooooooooooooooooooodddoooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxdddddddddddddddddddddddddddddolddddddddddddddddddddddddddddooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddddxddxxddooddddddddddddddddddddxxxxxxxxxxxxxxxxddddoooddddxxkkxxxxdddddddddddddddddddoc;'.........         ....,codddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooooooooooooddooooooodddoooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooooooooodddooooooddoooooodooooooooooooodooooooodooooooooooooodooooooooooooooooooooooooooodddddoooooooddddddddooooooooooooodddddd
lllllllllllllllllllllllllllllllllooooooooollooooooooooooooooooooooooooooooooooodddddddddoooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxddddddddddxddddddddddddddddddddddddddddoooddddddddddddddddddddddooooolooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddoddddoooooodddddddoddddddddddddddddxddddddoooodooodddddddddddxxxxxxxxxxxxxxxxdddoooddddooddxxkkkxxddddddddddddddddol:,'......            ...;coddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooodddoooooooooooooooooddoooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooodoooooddooooooooooooooooooooooooooooooooooooooooooddddooooodddddddddddoooooooddddoodddddd
llllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooodddddddddddooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxdxxxxxxxxxxxxdddxxxddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddoloddddddddddddddddddddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooddddddddddddoddodddoddddddddoooollloooooddooodddddddddddddxxxdddddddoodddooolllloodxkkkkxxdddddddddddddol:,''.....            ..;lddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooddooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddoooooooooooooooooooooooooooddoooooooooooodddoooooddddddddddddoooooddddddddddddoo
llllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooddddddoooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxddxxxxxxxxxxxxddddxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollodddddddddddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddoooooooooooooooodoooddddooooooooooolccloooooooooooooooooodddddddddooooodddoolllllccclloodxxkkxxxddddddddddooc;,'''...           ..,:oddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooddoooooooooooooooooddooooooooooooooooooooodddooooddddddooooooooddooooodddddddoood
lllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooodddddooooodooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxdxxxxxxxxddddxxddddddddddxxxxxxddxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoloddddddddddddddoooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddooooooooooooooooodddoooooooooooollclooooooooooooooooooooooooooooooooooolllcccccccccccloodxkkkxxxddddddddol:,''..... ...     ...';ldddddddddddddddddddddddddddddddddddddddddddddddddooooddooooooooodooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooddooooooooooodooooodddoooooooooooooooooooodddoooooodddddoooooodddddoddoooddoooood
llllllllllllllllllllllllllllllllllllloooooooooooooooloooooooooooooooooooooooooooooodoooooooodddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxdddddddddddxxxxdddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddollodddddddddddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddxxxxxxxddoddoodddddooooddddooooooloooooollllolcclllllllllllooooooooolllllooollllcccccccccccccclloodxkkkxxddddddol:,'''........  ......',:odddddddddddddddddddddddddddddddddddddddddddddddddoodddooooooddoooooooooodooooooooooooooooooodoooooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddoooooooooooooooooooooooodoooooooooooooooooooooooooooooooooooooddooddoooooooooodddooooooddddoodoooddoooood
llllllllllllllllllllllllllllllllollllloooooooooooooolooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxdddddddddddddddddddddddxxxddddddddddxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddollodddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddooooooooooooollooolllllc::cccccllllllllooollllllllllllllcccccccccccccccccclloodxxkkkxxddodo:,,,''.......  .......':odddddddddddddddddddddddddddddddddddddddddddddddddoooooooooodddooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooooooooooooooodddooooooooooooooooooooddddoooooooooooooooooooooooodooooooooooooooooooooooooooooooooooooddoodddoooooooooodddooooooodddooooodddoooddd
lllllllllllllllllllllllllllllllooolllllloooolooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddxxdddddxxxddxxxxxxxxxxddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxddddddddddddolloodddddddoodddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddooooooooooooloooooloolc:::::cclllllllllollllllooooolcccccccccccccccccccccccllloddxkkkxdddol:;,,''..............';ldddddddddddddddddddddddddddddddddddddddddddddddddddddooodooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooooooooooooooooooooooddoooooooooooooooooddddddddoooooooooooooooooooooooooooodooooooooooooodoooooooooooooooooooooooooooooooooooddoodddooooddooddddddooooooddddddddddoodddddd
llllllllllllllllllllllllllllllloollloooooooollooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodooodddddddooooooolooooloooolllllcccccccccclllllllllllllllllllcccccccccccccccccccccccccllloodxxkkxxddl:;;,,'..''''''''..';coddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddooooooooooooooooooooooooddddddooooooooooooooooooddoooooooooooooooooooooooooooooooddddoooooooooooooooodoooooooooooooooooooooooooooooddooooooooooooooooooooooooooooddddoodooooooooooddddoooooodooodoooooddddddoddoooooooooooddddoooodddddd
lllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddoooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooddddooooooooooooolllollllllccclclccccccccccccllllllccccllccccccccccccccccccccccccccclllloodxxkkxdl:;;,'...',',,''.';loddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooodddddddoooooooooooooooooooooooooodddooooooooooooooooooooooodddooooooooooooddddoooooooodddddoooooooooooooooooddoooooooooooooooodddooooooooooddooooodoooodddddddddddoooooodddooooodddddoodooodddoooodddddoodddddddd
lllllllllllllllllllllllllllllllllllllooooooolllooolllooooooooooooooooooooooooooooooooodoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxddddxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoololloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooddooooooooooolooollllllcccccccccccccccc::cccccccccccccccccccccccccccccccccccccccccccllllllloddxkkxdoc;,'...'''''',:lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddoooooooodoooooooooodddooooooddddooooooooooooooooooooddddooooooooooooooooooooodoooooooooooooooddddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddoooddddddddooddddddoooddddddoooooooooooddddoooo
llllllllllllllllllllllllllllllllllllloooooolllollllllllloooooooooooooooooooooooooooooddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxdddddddxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddollloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooolllollllllc:;;,,,,:::ccccccc:cccccccccccccccccccccccccccccccccccccccccclllllllllloodxxkxxoc;;;,,'..';coddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddoodoooodddooooooooooddddddddddoooooooooooooooodddddoodooooooooooodooooooooooddooooooooooooooooddddooooooooooooooooooooooddooddoooooooooooooooooooooooooodddoooddoooooooooodddddddddodddddddddddddddddddoooodddddddddoooooooodddooood
lllllllllllllllllllllllllllllllllllllllllllllooooolllooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddddddxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddooddddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddollloodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooollllllllllc,'.''.'''';:cccccccc:::::cccccccccccccccccccccccccccccccccccclllllllllllloddxxxxdoc:;...;lodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddoddddooooooooooooooodooodddddddoooooooooddddoodddddddoooooooooooddooooooooooodddoooooooooooooooooooooooooooooooooooooodddddooooooooodddddooooooooooooooooddddddddddooooooooddddddoooodddddddddddddddddddooodddddddooooooooddddddddood
lllllllllllllllllllllllllllllllllllllllllllloooollllooollooooooooooooooooooooooooooooodddddooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxdddddddddddddddddddddddddddddddddddddddddddddddddoooooodooooooddddddddddddddddddddodddddddooooodddddddddddddddddddoloooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooollllllllllllllc;,'''''....';:ccccccc::::::ccccccccccccccccccccccccccccccccccccllllllllllllooddxxxdoc,.,ldddddddddddddddddddddddddxxdddddddddddddddddddddddddddddddddddddddddddddddooodddooooddooooooddoooooooooooooodddddoodooddddoooooodddooddooooooooooooooooooooooooooooooooodddddoooooooooddoooodddddooooooodddddddooooooooooooooooodddddddddooooooooooddddodddodddddddddddddddddddddddddddooooooooddddddddddd
lllllllllllllllllllllllllllllllllllllllllllllooollloooollooooooooooooooooooooooooooooddddddddooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooodddddddddddddddooddddddddddddddddddddddddddddddooodddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooolllllllllcccccc:;;'..';,.....',;:cccccccc::::ccccccccccccccccccccccccccccccccccllllllllllllllloodxxxxl:ldddddddddddddddddddxxxddxxxxxxddddddddddddddddddddddddddddddddddddddddddooddddddoooodddooooooooooooooooooooooooooooodddddddooooodddooooooooooooooooooooddooooooooooooodooooooooooooooooooddoooddddoooooodddddddoooooooodddoooooooddddddddoooooodoooooddoooddoooooodoodddddddddddddddddddddooooooddddddddddd
lllllllllllllllllllllllllllllllllllllllllllllooolllooooooooooooooooooooooooooooooooooooooodddoooooddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooodddddddddddddddddddddoodddddddddddddddddddddddoooddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooollllllc:;;::;;,,,''..,,........',:cccccccc:::::ccccccccccccccccccccccccccccccccllllllllllllllllloddxxxxxdddddddddxxxddddddxxxxxxxxxxxddddxxddddddddddddddddddddddddddddddddddddoodddooooooooddooooooooooooooooooooooooooooddddddddodddddddddddddooooooooodddoddddoooooooodooodooooooooooooooooooooooodddooooooddddddddoooooooddddddoooooooooooooooooooooooooodoodddddoooooodddddddddddooodddddoodddddoodddooddddoo
lllllllllllllllllllllllllllllllllllllllllllllooollooooooooooooooooooooooooooooooooooooodddddoooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooodddddddooooooddddddddddddddddddoooddddddddddddddddddddddoooddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooollllllc:,,;:;;,''...............':cccccccccc:::;::cccccccccccccccccccccccccccccllllllllllllllllllloddxxxxxddddddddxxddxxxxxxxxxxxxxxxddxxxxddddddddddddddddddddddddddddddddodddooddoooooooddoooooooooooooooooooooooooooooooddddddddddddddddddddddooodddooddoddddddooooooooooooooooooooooooooooooooooodddoooooooddooddddddddodddddddddoooooooodooooooooooodddooooodoooooooooddddddoddoooodddddddddddddooooooddddooo
llllllllllllllllllllllllllllllllllllllllllllloolloooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooodoooodddddooooooooodddddddddddddddddooodddddddddddddddddddddooodddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooolllllllc::ccc:,,,'..''',;::;'..',:cccclcccccccc::;;:ccccccccccccccccccccccccccccllllllllllllllllllllooddxxxxxxdddxxxddxxxxxxxxxxxxxxxxxxxxxddxxddddddddddddddddddddddddddddoodoooooooooooodoooooooooooooooodooooooooooooooooodddddddddddddddddddooooooooooooooddoooooooooooooooooooooooooooooooooooooddddddddoodooodddooodooodoodddddddddddddddoooooooooooddoodddddddddoooodddddooddddoodddddddddddddooooooddddooo
lllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooddddddooooooooooooooodddddddddddddddodddddddddddddoooooddddolodddddddddddddoooodddddddddddddddddddddddddddddddddddxxddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooolllllllc:,,;;,,:c:ccccc::::ccccccclcccccccccc:::::cccccccccccccccccccccccccllllllllllllllllllllllloodxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddoooddddddddoooooooooooooooooodddoooooooooddddoooodddooooooooodddddoooooooooooooooooooooooooooooooooodddooooooooooodddooooooodddddooooooooooooooodooodddddddddddoddooodddooooodooddddddddoooooooddddoodddooooooooooooooddooddddddddooo
lllllllllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooddoodddoooddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddooooooooodddooooooooooooooooddddddddddddddooodddddddddddddooooddddoooddddddddddddddoolloddddddddddddddddddddddddddddddddddxdddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooolllllllc:;;::;;:cccclccccccccccccccccccccccccccc::;:cccccccccccccccccccccccllllllllllllllllllllllllloodxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooddddooooooooooooooddddddddddddooodoooooooooooooooooooooooooddddooooooooooooooddooooddddooooooooooooooodddoooooddddddddooddooddddddddddoodddddddddddooddoooooooooooooooooodddddoooooddddddooo
lllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooodddddddddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooodooooooooooddooooooooodddddddddddooddddddddddddddoodddddolldddddddddddddddddolloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooollllllllcclcccccccclllllccccccllllllllcccccccccccc:::ccccccccccccccccccccllllllllllllllllllllllllllllloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddoooodoooooooooooooooooooddddoooooooooooddddddddoooddddooooooooooooooooodddooooooooooodooooooooooooooodddooooddooodooooooodddooodoodddddddddddddddooddoooodddddoooodddddddddooooodoooooooddddddooodddddddoooooooooooo
llllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooodddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooodddodddddoooooooooooooooodddddddddddddddooddoddooooddddddoclodddddddddddddddddolcloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooolllllllllllccccllllllllllllllllllllllcllllllllllcc::::ccccccclcccclllcclllllllllllllllllllllllllccllllooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooddddoddoooodddddddddddoooodooooooddddoooooooooooooooooooooooooooooooooooooooooooooooodddoooddoooddooooodddddoddddddddddddoddooodddddddoooddddddddddoooddddddddddddddddddddddddddooooooooooo
llllllllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooodddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooodooooooooddddooooooooooooooodddddddddddddddddddddddodddddddollodddddddddddddddddddolcloddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooolllllllllcccllllllllllllllllllllllllllllllllllllllcc:::ccllllllllllllllllllllllllllllllllllllllllllllllloodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddoooooooooooddooooooooooooddoooodoooooooddddddddddddooddddooooodooooooooodooooooooooooooooooooooooooooddoooooooooodddoodddddooooooodddoooodddddddddddoodooooddddddddddddddddddddooodddddddddooodooodddddddddoooooooooooo
lllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooodddoooooddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddoooooooooodooooddoodddooddddddddddddoooodddooodddddddddoolcodddddddddddddddddddddolodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooolllllllllllllllllllllllllllllllllllllllllllllllllllcc:::cclllllllllllllllllllllllllllllllllllllllllccllloodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddoooodddooooooooooooooooooooooddooooooooooooddddddddoooodddddddddoodoooooooooddoooooooooooooooooooodddooooooooooooooddddddoooodddooddoooooodoodddddddddddddddooddddoooddddodoodddddooooddddddooooooooooooddddddooooooooooooo
lllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooodddddddoooddoodddddoooooooooooodooooodddddddddolclodddddddddddddddddddddolodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooolllllllllllcclllllllllllllllllllllllllllllllllllllcc:::ccllllllllllllllllllllllllllllllllllllllllcccllloodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddoooddddooooooooooooooooooooooooooooooodddoodddddddddddoddddddddddddooooooooodddoooooooooooooooooooddddooooooooooddodddddddoooooddddddddddddddddddddddddoodddddddddddddddddddddddddoddddddddddoooddoooodddddddooooddoooooooo
lllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooodddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooodddoooooooddddddoooooooooooooooooooodddoooodddlcloooddddddddddddddddddddllodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodooooddddoooollcccllllllllllllllllllllllllllllllllllllllllllllllcc:cclllllllllllllllllllllllllllllllllllllllccccclloodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooodoooddooddddddddddddddddddddoooooooooodddddooooooooooooooooooodoooooooooooddddddddddoodddddddddddddddddooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooodddoo
lllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooodddddddddooddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooodoooddddddoooooooooooodddddddooooooooooooooddddddddocldddddddddddddddddddddddoclddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddoolccclllllllllllllllllllllllllllllllllllllllllllllllcc::cclllllllllllllllllllllllllllllllllllllllccclllloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddooooooooooooooooooooooooooodddooooddoooddddddddooddddoddddooddddooooooooooddddoooooooooooooooooooooooddoooooodddddddddddddddddooddddddddddooddddddddddddddddodddooddddddooddddddddddoooddddddddoooodddddoooooooooddddddd
lllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooddddddddddodooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddoooooddddddooddoodddooooooooooooddoooooooooddddoooooooooododddlcoddddddddddddddddddddddollodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolllllllllllllllllllllllllloooloollllllllllllllllllllcc::cllllllllllllllllllllllllllllllllllllllcccccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooooddoooooodddddddooodddooooddooddddoooooooooddddooooooooooooooooooooooooddoodoodddddddooooooddddddddddddddddoooooddddddddddddddddddddddddddddddddooddddoooddooodddddoddddddoooooooooddddddd
llllllllllllllllllllllllllllllooooolllooooolooooooooooooooooodooodddoooodoooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddooooodddddddddddddddddddddddddddddddoooooooooooooooooooddddddddooooooooooooodlclodddddddddddddddddddddollodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolllllllllllllllllllllooooooooollooooooooooolollllllccccclllllllllllllllllllllllllllllllllllllllcccclloodxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddoooodooooooooooooooooooooooooooooooooooooooddddoooodooodddddddddooooooodddddoooooooodooooooooooooooodddoooddddoodddoooooooddooooooddooddddodddddddddoodddddddddddddddddddddddddddddddooddddddddddddddddddooooooooodddodd
lllllllllllllllllllllllllllllloololllooooooooooooooooooooooooooooddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooodddddddddddddddddddddddddddddoooodooooooooooooodddddddddooooooooooooooolclddddddddddddddddddddoollodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooollllllllllllllllloooooooooooooooooooooooooooollllllcccclloollllllllllllllllllllllllllllllllllccccclloodxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooooooooooooooodddoodddddddddddddddoooooooooooooooooooodoooooooooooooooddddoooddddoodooooododddddddodddddddddoooooddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddoooooooooodddd
lllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddoooooooodddddddddddddddddddddddddoooooddddoooooooooooooddddddddddoooooooooooooolcodddddddddddddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooolllllllllllllllloooooooooooooooooooooooooooooooolollcccllloolllooolllllllllllllllllllllllllllcccccllooddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddoooooooooooooooooooooooooooooooooooddooodddddddddddddddddddddooooodoooooooddooooooooooooooooooooooddddddodddddooooooddoooddddddddddddddooodddddddddddddddddddddddddddooddddddoodddddddddddddddddddddddddddodddoooodddo
lllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooddddddddddddddddddddddddddddddddddddddddddoooooooooddddooooooddddddddddddddooooooddddooooooooooooodddddddddoooooooooooooolclodddddddddddddddooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooollooooooooooooooooooodddoooooooooooooooooooooooooollccllloooooolllloolllllllllllllllllllllllcccccllloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddoooooooooooooooooooooooooooooooooooodddoddddddddddddddddddddddddooooooddddddddoooooooooooodddddddddooddooooddoooooooddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddoooooddddooodddd
llllllllllllllllllllllllllllllllolooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooodddddddddddddddddddddddddddddddddddddddddddddddooooddddoooooodddddddddddddddoooooddddddoooooooooooooodddddddoooodooooooooollloooddddddddddoooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooddooooooooooooooodddooooooooooooooooooooooooooooolllllloooooooooooloolllllllllllllllllllcccccccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxddddddddddddddddddooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddooodooddddddddddoooooooooooodddddddddddoooodddddddddddddddddddddddddddddoodddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddoooodddddddddddd
llllllllllllllllllllllllllllllloooooooooooooooooooooodddoodddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooodddddddddddddddddddddddddddddddddddddddooddddddddooodddoooooddddddddddddoooooodddddddddddoooooooooooodddddddooddoooooooodooolooooooooooooooooooddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooodddddddddooooooooooooddddddooooooooooooooooooooooooooooooolllllloolcllloooooooollllllllllllllllcccccccccllodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddooooooddoooooooooooooooooooooooooooodddddddddddddddddddddddddoodddddddddddddddddddoooddooodddodddddddddddddddddddddddddddddddddddddddooddddddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddd
llllllllllllllllllllllllllllllllooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooddddddddddddddddddddddddddddddddddddddddddddddddooooooodddooooododdddddddddoooddddddddoooooooooddooooodddddddooooooooooodddoooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooddddddddddooddodddoooddoodoooooooooooooooooooooooooooooooooolc:::ccc:;:cclooooollllllllllllllllllcccccccccllodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddoooooodddooooooooooooooooooooooooooooooddddodddddddddddooodddoddddddddddddddddddddoooddooodddoooooddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllloooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodoooodddddddddddddddooooooddddddddddddddddddddddddoooodddddddddooooooooooooooooddddddddodddooooodddddoooooooooodddoooodddddoooooooooodddddoooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddooooooooooooooooooooooooooooooooooooooooooooool:;;;:::::::cllloooolllllllllllllllccccccccccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddoddooddoooooooooooooooooooooooodddddddddddddoodddddddddddddddddddddddddddddddodddddddddddoooddddddddddddddddddddddoooooddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooo
lllllllllllllllllllllllllllllllloooooooooooooooooooodddddddddoooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddoooooddddddddddddddddoooddddddddddddddddddddddddddddooooddddddooooooooooooooooodddddddddddddoooooooooooooooddooooodoooooddddooooooooddddddddooooddooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddooooooooooooooooooooooooooooooooooooooooooooolclllc:;;;::ccc:::cllllllllllllllllccccccccccccccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddooddddoooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddooddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooo
llllllllllllllllllllllllllllllloooolooooooooooooooooooooodoooooooooooooooooodddoodddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddooooooooddddddddddddoodddddddddddddddddddddddddddddoooooddddoooooooooooooddooddddddddddoooddddddddoooooooooooooooooodddddddddooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooodddoooooooooooooooooooooooooooooolcc::clcc:;;;:::::cccccccccclllllllccccccccccccccccclloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxddddddddddddddooodddoooooooooooooodoooooooooodddddddddddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddddddodddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoo
llllllllllllllllllllllllllllllooooooooooooooooooooooodoooooddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddooodddddddoooooooooooodddooooooddddddddddddddddddddddddddddoooooooddddoooooooooooooddddddddddddoooooddddoddooooodoooooooodddddddddddddodddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooodddoooooooooooooooooooooooooooooooolc:cccclc:;;::cclcc:::ccccllllllccccccccccccccccccccllodxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxddddddddddddooooddoooooooooooodoooooooddoodddddddddddddddddddddddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddoodoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddooooooddddddddddddddddooodddddddddddddoooodddddddddoooodddddddddddddddddddddddddddoooooodddddddoooooooooooooooddddddddoooodddddoooooooooooooooodddddoddddddooddddoooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooodddooooooooooooooooooooollcc::ccccccclllccccclllllllllccccccccccccccccc::cccllddxxxxxxxxxxxxxdxxxxxxxxxxxxxxxxxxxxxxddddddddddddooooooooooooodoooodddoooddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooddddddddoddddddddddoooooooodddddddddddddddoooooddddddddooddddddoooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddddddooooddooooooooooooddddoooooooodddddddoooooooooddddddddddddddddooooddddooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddoooooooooooooooooooooooooooooooooooooolllcccccclcccccccccllllllllllccccccccccccccccccccc:cclodddxxxddxxxxxdxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddoooooooooooooooodddddoooooooddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooddooooooooodddddooooooooooodddddddooddddddooooodoodddddoooddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooddddoooooooddooooddddddooooddddddddooooooddddddddoodddddddddooooddddooooooooodooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooooodddoooooollllcccllllllllllllllllcccccccccccccccccccccccc::::ccloddxxxxxxxxxxxxxxxxxxxxdxxxxxxxxxxdddddddddddooddooooooooooooooooddddddooooddooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooodoooodooooooooooooooddddddddddddddoooddddooooooooddddddddddddddddddddddddddddddddddddddddoooddddddddddddddddddddddddddddddddddddddddooooooooooooooddddddooooddddddddooodddddddoddddoodooooooddooddddddddooooooddoooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooodddooooooolllllllllllllllllllllccccccccccccccccccccccccc::::::ccloddxxxxxxdxxxxxxxxxdddxxxxxxxxxxdddddddddddddddoooooooooooooooodddddddddddddoooooddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooodddddoooddoooooodoodddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddooddoooooddddddddooodddddoooooddddddooodddddddddddddddddddddddddoooooooooooddddddddddoooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooooooollooollllllllllllllllccccccccccccccccccccccc::::::::::clloddxxdddddddxxxxdddxxxxxxxxxxxxxddddddddddddddddoooooooodddooodddddddddddooooooddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooodddddddddddddddddddddooddddddddddddddddddddoddddddddddddddddddddddddoddddooooooooodddddddddoooooodddooooooooooooddddddooooooddddddddddddddddoooooooooooddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooooooooooooollllllllllllllccc::::ccccccccccc:cccc::::::::::::cloddxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddoooooddoooooddddoodddoooddooooooooodddddddddddxxdddddxxxddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooodddddoodoooooooooooooooooooooooooooooooodddddddddddoddddddddddddddooooodddddddddddoddddddddddddddddddddodddoodoooooooooddddddddddddoooooddoooooodoooooddddooooooooooodddddddddddddddddddooooooooodddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooooooooooooooloolllllllllllllllcccc::;::cc::ccccc:::::::::::;;;::::ccloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddooodddooooooddoooooodddddddooooooddddddddddxxxxxxxxxxxxxddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooodoodddddoddoooooooooooooooooooooooooooooooooddddddddddooddddddddddddooooooooddddddddoodddodooddddddooodooooooooooooooooooooooooddddooddooodddoooooooooooddddooodddddddoodddddoodddddddddddoooodooooodddddddddddooooooooddooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooooooooooollllllllllllllcccc::::::::::::::::::;;,,''',;;;::::clloddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddoooooooooooodddddddddoooddddddddddddxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooddddddddoooodoooddddddddddddoddooooddddddddddoddddddddooooooooooooooooooooooooooooooooooooooooooooooooooooodddddooodddddddddoddddddoooddddddddddooddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooooooooooooooollllloollllllllllllcccccc:::;;;;;::;;,,,,'''''',;;;;;;;:::cloddddxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddooooooooooooddddddddddddddddddddddddxxxxxxxxxxxxxxddddddddddddddddxxxxxdddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllooolloooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooodddddddddddddoooodddddddddddoooooooooodddddddddddddddddoooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooodddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddoooddoooooooooooooooooooooooollllllllllllllllllllllllcccccc::::;,,,,,'''',,;;;;;;;;,,,,,;;;;:loddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddoooooooooooddddddddddddddddddddddddxxxxxxxxxxxxxdddddddddddxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddooddddddoooodddddddddoooooddoooooooodddddddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooooooodddddddddddddddddddddddoodddddddddddddddddddddddddddddddddddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooddoooooooooooooooooooollllllllllllllllllllllllllccc::;;;:;;,,,,,''','''''...............,:loddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddoodddooooodddddddddddddddddddddddddxxxxxxxxxddxxxxxxxdddddxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoodoodddddddooooddddddddoooooddoooooooooooddddddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooooooooooooooooolllloollllllllllllllllccc::::;,;;;,,'''''',,'''''''''............,:lddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddooooddddddddddddddddddddddddddddxxxxxxdddddxxxxxxxxddxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllloollooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddoooodddoodddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooodddddddddddooooooodddddddoddddddddddddddddddddddddddddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddddooooooooooooooooooooooooooollllllllllllccc::::c::;;;;;;,,;;;;;;;;;,,,,,,,,,........',;:clddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxxxxxxddxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooooooooooooddooooodddddddddddddddooodddddooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooodddddddddddddddddddoooooooooooooooooooooolllllllllccclcccccc:::;:::::;;;;:::;;;;;;;,,''.......'',,,,,;codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxdddddxxxxxddddddddddddddddddddddddddddddddddddddddddddddxxxxddddddxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddoooodddoodddoooooooooooooooooooooooooooooooooooooooooooooooooooooodddoooooooooooooooooooooooooooooooooooddoooooddddooooodddddddoddddddddddddddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoodddddddddddddddddddddddooooooooooooooooooooolllllllllllccccccc:::::::::;;,,,,,,,,,'''...........'''''',,;coddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxdddxxdddddddddddxxdddoodddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddooooodoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoodddooodddooodddddddooddddddoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooodddddddddddddddddddddooooooooooooooooooooooolllloooollllllllllccccc::::;,,'''''.............''',,,,,,;;:codxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddxxxddodddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooooooodddooodooooooddddddddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooodddddddddddoodddoddddddoooooooooooooooooooooooooollooooooooooooooooooooolllcc:::::;;;;,,,,;;;;::::ccccclllodddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxxxddddxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodoooooodddddddddddddddooddddddddddddddddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooddddddddddddddddddoooooooooooooooooooooooooooooooooooooddddddddddddddddooooooooooooooooooooooooddddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxxxdddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooodoooooodddddddddddddoooooooooooooooooooooooooooooooooooodooooodddddddddddddddddddddddddddddddddddddddddddddxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxdddddxxddxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooooooodddooooodddddddddoodddddddddoodddoooooooooddddoooooooooooddddddddoooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooooddddddddddddddooooooooooooddddddddoddooodddddddddoooooooooooddoooooooooooooooooooooooooooooddddoodddoodddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddxxxxxddddddddddddxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodooddddddooodddddddddddoddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddodddddddddooooooooooooooooooooooooooooooooollllooooooooolllooooodddooodddoooooooooooooddddddddddddooddddoddooooooooooooooooooooooooooooooooooooooooooodddddoooooodddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddxxxxxxxxxxxddddddxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooddddddddddddddddddddoodddddddddddddddddddddddddddddddooooooooddddddooooooooooooooooooooooooooooooooooooolloooooooooooooolllllllllllolllllccllooooooooooooooooooooooooooodddddddoooodddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddooddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxxddxxxxxxxxxxxxxxxddxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddooooddddddddddddddoddddddooddddddddddddddoooooodddddddddooooollooodddoooooooooollooooooooooooloolllllllllllllloooooollllllllllllllcccllllccllllllllloooooolllooooooooooooooooodddooooodddooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkxxxxxxxxxkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolloooooooollllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllloooooooolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddooooooooddddddddoooddddddddddddddddoooooooooooddddoooddoooooollooooolllloooooolllllllllllllllllllllllolooollllllllllccccllllccccccccclccclllllcccllllllllllllllllllllooooooooodooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkxxxxxxxxxkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllloooooollllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooolllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddoooooooooooooooooooooooooooooooooooooooooooooooooooodooddoooodddddddddddoooooooooooooooodddddddddddddoooollllllcllllllllllllllllcllllllllllllllloooolllllcccccc:ccllccc:::ccccccccccllcccccccccllllllcllcclllclooooooooloolooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddodddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkxxxxxxxxxxxxkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooooooolllllllllllllooolllllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllooooooooooooloooooooooooooooooooooooooooooooooooooooooooooooooooodddoddooooooooooooooooooooooooooooooooooooooooooooddoooooddooooddddoooooooooooooooollloooooooooooddooooooolllcccccclllccclcccccllcccccccllccccccllolllllcccccccccccccc:cc:::cccccccccccccccccc::cccccc:::cc:::ccllcccclllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooolooooolllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooollllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddoooooooddooooooooooloodooooooooooooooooodddooodddoooooooooollllooooooollllllllooooolllloooollloooolcccccccccccclllcccccccccccccllcccccccllllcccccccc:ccc::ccccccccc:cccccccccccllllllccccccccc:;;;,,,;;;:;;:cllllloollooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxkkkxxxxxxxxxxxxxxxxxxxxdddddxxxdddddddxxxxxxxxxxxxxxxxxxxxxxdddxxxxddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooolllloolllloollllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooolloooollllloooolllllllllllllooooooolllooooooooooooooooooooooooooooooooooooooooooooooooddodddddoodddooooooodooooooooooooddooooooooollloooooooooooooooolllllllcccllllllllllllcccccllooolllcclllllllooollcllcccccccccllcccc::c::cllllllllccccccllccccccc::::::cccccccccc::cccccccllllllllllllllllllc:;;:;;;;;,;;::cclllolllooooooollllllloooooooooooooooooooooooooooooooooooooooooooooooooooddoooooodddoodooddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkkkkkkkxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxxxddddxxxxxxddddddddxxxxxxxxxxxxxxxxxxxxdddxxxxxddddddddddddddddddddddddddddddddddddddddddddddddoodddooooddd
lllllllllllllllllllllllllllllllooooolloooooooooooooooooooooooooooolllllloollllloolllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooollllloooollllllllllllllloollollooollllooooooooooooooooooooooooooooooooooooooooooddoooooooodddooooooolllllloooollllllllllllolllllollllllllclllllllllcccccclllllllllllcccccccclollllllccccccllllllllcc::::::c::ccccc:::cc:cccllcclollllllllllllccc:::::ccccccccccccccccc::cccllclllllccllllllllclllccc;;;::::::clollllooooollllllllllooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxkkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxxxxxxddddddddddxddddxxxxxxxxxxxxxdddxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddoooooooooooodd
lllllllllllllllllllllllllllllllllloolloooooooooooooooooooooooloooollooloooolllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooollooollllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooodooooolloooooooodoolcccccllllllolcc::ccccllllllooollc:ccccccc::::clllllllllcccclllc:::c::::ccc:::ccc:::::::ccccc:::;;;;;;;;;:::::cccccccccccccclolllllllllllccccccc::cccccccc:cccccccc:::::::ccccccccclllllllllolllllcccllccccclllccclllllllllllllllloooooooolllllooooooollloooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkkkxxxxxxxxxxxxxxxxxxxxxxddddddddxxxxxddddddxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxdddddddddddddddddddddddddddddddddddddddddddddoooooooooooooo
lllllllllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooolllooooolllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooollllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooddddddooooooodollllccllllccclooollc::clllcccloolccccccllllllollllc::cclcc:::;::ccccccccc:::::::;;;:c:;;;;;;;;;;;;:::cc::cc::::;;;,;;;;;;;;,,;::clc:::cccllllllllllllllllcccccccc:::::ccccccccc:::ccc::;;;;;::::cllllllccc:cccllllloooollllccllllllllllllllllllllllollllloooollllllloolllllloooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxxxxxxxxxxxxxdddddddddddddxxxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxddddddddddddddddddddddddddddooooddooododddddodddooooooooooo
llllllllllllllllllllllllllllllllllooloooooooooooooooooooooooooooooooolllllloollllllllllllllllllllllllllllllllllllllllollllooooooooooooooooooooooolllllllllllllllllllllllllllllllllolloooooooooooooooooooooooooooooooooooooooooddodooooooooooollcc::cclc:::clollllcclllllccloollcccclllllllccccccccccccccc::cccc::;;;;:;;;;,,;;,;:c::;;;;,;;;;;;:clooc:::;;:::ccc::;;;;;,,;;::clllllcc:ccllllccloolcllc::c:;;:c::;:cccccclllc:::::::;,;;;;::::cllcccccc:;;;;cclcclllllllcllllllllllllllllllllllllllllllllllooollllllllooooooolooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddxxddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxkkkxxxxxxxxxxxxxdddddddddddxxxxxxxddddxxxxxxxxxxxxxxxkkkkkxxxxddddddxxddddddddddddddddddddddoodddddddooooooooooodddddddddddoooooooooo
llllllllllllllllllllllllllllllllllllllooooooooloooooooooooooollllllooolooolllllllllllllllllllllllllllllllllllllllllllllllllloolooooollooooolllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooooooooolloooooodooooooollllooooooolcccc::::c::coooloooooooloooolllc:::cclllllcc:::::::::::::::;:::;;;;;::;,,,,,;;;;,,;;;,,;,,,;;;,,;:clc:::;,;:cloool::::;;;;;;;;:llloolc:;;ccccc:clllcccc::::;;;;;;;;::ccccclcc::::::;,,,;;:cc::cccc::::c::;,;:ccccccccccccclllcclllllllcccccclllllllllllllloooooollllllllllollllooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxxdddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkxxxxxxdddxxxddddddddddddddddddddooooodddoooodddddddddddddddddddddooooooooooo
lllllllllllllllllllllllllllllllllllllooooooooollllloooooooooooollloooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooooollooooollcccllllllllllllllllllllllllllllllccccccllllclloooloool::::clooooooooooooooooollc:;;;;:::c:::;,,,,,,,;,,,,,,,;;;,;::ccc:,,,,,,,,,'',,;,,',,,,,,',;;;,,,;::::cllllccccc:;;,;;;,,;::clllllc:::::;;:cccccccc:::cc:;,,,,;;::ccccc:::::c:::;::ccccc:::c:::::c::;;::cclcccccc::cccccccllcccccc:::cccccclllllllllllooooooolllllllllllllloooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxdxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddoooodddddddxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxdddddddddooooddddddddddddddddddddddddooddddodddddddddddddooooooo
lllllllllllllllllllllllllllllllllllllloooooooollllllllloooolloolloooooooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllooooollcccccccc:;,;;:::cccccclllllc::cllllc:::;,,,,,',,;;:c:::clooddddol:clloooolooooddoddoooollc:;;;;;;;;;;;,,,,,,',,,''',,,,,,,;cc:c:;,,,'''''',;;;,,,'',,'',,,,,,''''',;;;;,,,;:cc:;,,,,,;,,;;;;:ccclol::;;;;;;;;;:::::;::cc:;,;;,;;;:::c:;;::cccccccllccc::::::;::ccccccccccc:::::;;,;;::ccc:;,',:c:::cccccccccclllollllllllllllllllllllllllllllllloooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddxxxxdddddxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddoooooooddddddddooddddddddddoooodddooodddddodddoooodoooo
llllllllllllllllllllllllllllllllllllllooooooooloolllllllllollllllooolllooollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll:::;;;;,,,,,,,;;,,;:ccc:clool:;,,;:::;,,,,'...'''''''''',;:cccclloooooooooooooooooddoooooooolc:;;::::;;,,,;;;;;,,,,,,,,,,,,,,,;;;;,,,,;;;,,,,,;;,,;;'',;,,'',,'''''.',,,,,,,,;:::;,'',,,,,,,,,;:::cccc:;;;;::;;;;::;;,,,,,:::;;;,,,;;::cc:::cccccccllcccc::::::;::ccllllccc::;;;;;::;;,,,;;;;;,,;::::cc:::::cccccllllllllllllllllllooooooooooooollloooooooooooooooooooooooooodddddoooddddddddddddddddddddddddddddddddddddddxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxxdddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddxdddddddddddddoollllooooddddddddddddoddddddddddoooodddddddddoodddoodd
lllllllllllllllllllllllllllllllllllllllooooooooollllllllllllllllllolllooolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccclllllllllcccc:;,,,,;;;,,,,,,,;;;;,,;;;::c:;,''''',,,,,,,,''',,''''''''',,,,',,,;;cllccllooooooollc::cllllllcc::ccc::;,,,;;;;;:;,,,,,,'',,,;,,,,,,,;:lolcc::;,,',;,',::,'.'''',''''''',,,,,,,;::;;,,,,,'''',;;:;,;;;:;;;::;;;;,,;;,,'',,,,;:;,,,,;;,;;:cccccccc:::ccc:ccccccc::::cclllllcccccccccllc:;;;,,,;;::ccccc:;;;::cclllllllllllllllllllllloooooooooooooollllooooooooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddxxddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxdddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddxxddoollllloooodddddddddddddodddddddddooddddddddddddddddoodd
lllllllllllllllllllllllllllllllllllllllooooooooolllloolllolllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllccccc::;;,,,,;;;;;;;:;;,,,,,',,,,,,'''.'''''''''''',,,,'''''''',,,,,,,,''''''',,,,,,,,,,'..'''',,,;;::cc::c::;;;;ccc:cllcccllcc;;,,,,;:::;;;,,,,,''''',,,,,'',,;;:::;;;::c:;;,;:cc:'.'''.'''''',,,,,,,''',;;::;;;,,'''',,;,,,,,,;;:cc:;,,,,,''',,,;;,',;;,,'',,''',;:::::::::;;;:::cccccccccccclllllllllllllllllcc:::;,;;:::::;;;;,;:lllllllllllllllllllllllllllllollllllllllllllllooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxddxxxxxxxxxxxxddddddxxxxddddddddddddddddddddddddxxxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddolloooooooooddoooooddddddddddddddddddxxxdddddddddddddd
llllllllllllllllllllllllllllllllllllllloooooooollllooollloollllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccccccccccccc::::;;,,,,,,'''''''''''',,,,,,,;,,,,,''''...''.''''....';;,'''''''''''''''''',;;,,;;;,,,,,,,,'..'.''''''''''''',,,,,;;;,,;cc::ccllc:;,,,,;:ccc::;;;;;,''''''',,''''''''',,,,,,;:;;;:;;,,''''''''',,,,',,,,,''',,,,,,;:;,,,'',,,,,;:;;:::::;;,,,,''',,,,,'',,,,,''''',,''',,;;;;;;;,;:::::cc:::::cc::cccccccclllllllllcccc:;;;;,,;;,,;;:ccclllllllllllllllllllllllllllllllllllllllllllllooooooooooooooooooooooodoodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxdxxxxxddddddxxxxddddddddddddoddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxkkxxxxxxxxxxxxxxxxxxddooooooooooooolllloodddddddddddddddddddddddddddddxxxxd
lllllllllllllllllllllllllllllllllllllllllooooooolooooooolllllollollllllollllllllllllllllllllllllllllllllllllllllllllllllllllc:;;;;;;;;,,,,,,',,,,,,,,,,,,,,,'',,',,''',,,,,,,,,,,,,,''.''..........''''.''',,'''''''''''''''''',,;::::;;,,,;;;:;,''''''''.'''''..''''''''''',;,,,,,;:cc:;,,,;::ccc::::::,'''''''''''''',,,;,,,,,,','''''',,''',,''',,,'''',,,,,,'''','',;::;,',;;;;;,;,,;;,,,,,;;;,''',,,,,''',,,,'',,',,,,,,;;,,,,,;;;::cc::::;;;;:::;;;:::ccclllllllllllcccc:;;,,;;;;:::ccllccllllllllllllllllllllllllllllllolllllllllloooooooooooooooooooooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxxxxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkxxxxxxddddddddddddddoollllllooooddddddddddddddddddddddddddddxxxx
llllllllllllllllllllllllllllllllllllllllloollooooooolloolllloolooollllloollllllllllllllllllllllllllllllllllllllllllllllllc:,''.''''''''''''''',,,,,,,,,,,,,,,,,,'''''',,,,,'''''''''.................',,,,''''''''..''''',,''',,,,,,;;;;;;;:::::;,,,,,,,',,,;;,''''''''''.''''''''',,;;;,,,,,;;;;;;;;;;;;,''',''''''',''',,,'''',,''''.''',,,,;,''',,,,,,,,,,,,,'''',,'',;:::::cccc:;,,',,',,,,,,,''''''''''',,,;;,,,,,'',,'',,,,'',;,,;;:::;;;;;;;:::::;;;;;:ccclllllllllllllc:::::::::;;;:ccccccc:cccllllllllllllllllllllllooollllooooooooooooooooooooooooooooooooooddddoddddooooddddooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddooddddddooollloooodddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllllllllooolooooollllllllllllloollllllllllllllllllllllllllllllllllllllllllllllc::::;;;;,,''...'''''''''''''',,,,,'',,,,'',,,'''''''''',''''......',,'.............''''','..''''''.''''''',,,,,''''''',;;;:;;;::::;;;;;,,;:cllc:;'..''''..''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,'''''''......''',,,'''',,,,,,,,,,,,,,,,,;,,',,,;;;::::ccc:;;;,',,,,,;,''',,,,'''',;;;;,,,,,;;,,''',,,'''',,,,,;;,,,,;;;:::c::;;;;;;:cccccclllllllllllllcc:;:;,;;:cccc::::cccllllllllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooddoooooodddodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddooddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddoooooooooooollloooooddddddddxxddddddddxxxxdddddddddd
lllllllllllllllllllllllllllllllllllllllllloolllllloollllllllllloollllllllllllllllllllllllllllllllllllccllcc:;;;,,'''''''''''''''''''',,''''''''''''.'',,,,;,,,',,,'''''''''.......',,'.........'''''''''.''''''''..'''''''',,,'.',,,,,;;,,,;;::::;;;;;;;,,:codol:,'.........'''''''''''''''''',,,,,,;,,,,,;;;;;;;;;:cccc::;;,,''''.........''''''',,,,,,,',;::::;;;;;,,,,;;::::;;;;:clccc:;,''',;;,,,,,,,,''',,;;,,;,,,,,,,,'',,,'''',,,,'''''',,,;;,,,;;,,;;;;;;::ccclllllllllllllc::;::;::::::::::cccccllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooooooddooooooooddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooddddooddddddoddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddoooooooooodddooooooollooooooooddddddddddddddddxxxdddddddddd
lllllllllllllllllllllllllllllllllllllllllllollllllllllllllllllllllllllllllooooollllllllllllcccccc::::;;::;''''''''''''''''..''''',,,,,,'''''''''.....'',,;;;;,'''''....'''...'................'''''',,''....''........''''',,,,',;;;,;;,,,,,;;:cc;,,,,;;;;:cccccc:,'''.......'''''''''''''''''''''',,,;:::::::;;;:ccc::;;::;;,,,,,''''.',''''',,',,''''''',,;cclllllc:;;;;::cccclll:;::::cl:,''',,,,'',''''''',,,,;;;,,,,,,,''',,,,;;,''''''',,,,,,,,,,,,,,,;;:;;;;::ccllllllllllllcc:::::::::;;;:cccccccclllllllllllcccclllllllllllllllllooloooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddddoooooooooooooooooooddddooodddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddooooooooooooooooodddoooooooooddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllc::;;;,,,,''',,'''''''''''''''''''''''''''',;;;,',,'''''''''''''''.''''''...'...............................''''''.............''.....',;::;::::::,''',;:::c:;;;,;,;:ccc:;:::;,,''''...'''''''''''''..''''''''',,,::;,;,,,,;;;,,,,,;::;;::::;,'''',,,,'',,,',,,,,,,,,,,,:clllllllcc::::cccclool:;;:::cc:;,'','',,,''''''',''',,,,,,,,,,'''',,;;:;'.''',,,,,,'',,;;;;;;;;;;;;;;;;:::cccclllllllcccc:::c::::;,;:ccccccllllllccclcc:::ccccccllllllllllllllloooooloooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddddddddddddddddddddddddddoodooooooooloooooooooooooooooooooooodddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddooloolloooooddddooooooooodddoodddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllolllllllllllllllllllllccc:;,'''''''.........'''''''''''''''',,,,''''',,;;;,'',,',,,''...'''...............................................................''...'.''';:::::::::::::::;;;:;,,,,,;:cc:,,,,,,'',,;,'''''''''''''''''''',,,,,,,,'''''''''',,'',,;;;;;;::clll:;,;;,,,,,;;;,,'',,;;;,,,,,,;:c:::::clllclllccccllllc:::cccc::;;;;,,,''''','''',,''''''',,,''''',''''''''',,,,,,,,,,,;;;;;;;,,,,,,,,;;;;::cccllllllcccccccccccc:::::cccccccccccccccc:::::cccccllllllllllllllllloollloolllooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddoodddddddddooddddddddddooooooooollllloooooollooooooooooooooooooooooooddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddoooollloooooddddddddooodddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllccccccclcc::;;;;,,''..............'''.''''''',,,,,',,,,'''''''''',,,;;,,;;;'..................................................................................',;;;;,,,,;:cc:,,,,,'....',,,,''.',,'''',,,'''''''''''''''''''',,,,,'''.....'''.'''''''',,,,;::;:::::;;;;;;;;;;;;,,,,,;:::::::;;;;;;;,;:cllllllllc::cccccccllllllclllcc:;,''','''''''''''',,'''''''''''''''''',',,,;;,'',,;;;;,,,,,,,,,,;;;:::ccccclllllllllllllllcc:::::::::cccc::::::::::ccccccclllllllllllllllllllllooolllllllooooooooooooooooooooooooooooooooddddoodddddddddddddddddooododddddddooddddoddooooollllllllllllooolllllooooooooooooooooooooooooooodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddoooolllllooooodddddddddddddddddddddddddddddddddddddddd
llllllllllllllllllllllllllllllllllllllllllllllllllllllllllcccc:;,'',,,,,,'''''''''..''.........''''''''''''''',,,'''''''''''''''''''',;::;'....................................................................................'''''.....''''...................'.....'''''.......'',''.....'''''''''''.''''...'''''''''''',,,,,,,;:::;;;;;;:::;,,''',;::::;;,,',,,,,,;:clllollc:ccccccccccccccccllllcc::;,''''''';;:;,,,'''''''''''''''''''''',,,,,''',,;,,,,,,,,,;;;;;;:;;:::ccccccccclllcccclcccccc::::::::::::;;;;:::ccccccclllllllllllllllllloooooolllllllllolooooooooooooooooooooooooooooooooooddddddddddddddddddddddddoddddoooddoooooooollllllllllllllllllllllloolllllloooooooooooooooooooodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddooollllllllloooodddddddddddddddddddddddddddddddddddddd
lllllllllllllllllllllllllllllllllllllllllllllllllllccc:::;,,,,'''''''..............'''''''''''''''''''''''''''''''''''''''''''''''''.';;,'......................................................................................''.......................................'''''''.',;;,,'..........................'''..'''''''',,,,,,,,,;;;;;::;,,,,'',,,,,,,,,,,,,''',,,;::c::::cccllllllccccccllllollllollcccccldxdo:;,,'''','''',,,,,,,,''',,,,,,,'',,,,,,,,,,,,;;;;;;;;;::::ccccccccccccccccccccc:::::::;:::ccc:::::;:ccccccccclllllllllllllllllloolllllllllllllooooooooooooooooooooooooooooooooddddddddddddddddddddddddoooddoooooooooooollccccllllccccclccllllllllllllllllllllooooooooooooooooddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddoolllllllllllloooodddddddddddddddddddxxxxxxxddddddddd
llllllllllllllllllllllllllllllllllllllllllllllllcc:,''''''..''.'''''.............'''''''''''''''''''''..''''''',,''''''''''''........',,'.........................................................................................................................'...........''',:;;;;'.................................'''''''',,,'''',;;;;;,''''''''''''',,,'',,,,,;;;;;;;;,;;;;:::::cllodddddddddddddddddddxxxxdoc:;,,,,,,,,,,,,;,,'',,,,;:c::;;,',,,',,,''',,,;;;;;;;;;::::::::cccccccccccccccc::::cc:;;::::::::::;;;::::ccccccclllllllllllllllllllllllllllllllooooooooooooooooooooooooooooooooooddddddddddddddddddddddddooooooooooooooolcccccclccccccclcclcccllllllllllcccclllllloooollooooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddooooooollllllllloodddddddddddddddddddddxxddxxxdddddd
lllllllllllllllllllllllllllllllllllllllllcc:;;;;;,,'............'..........''''''''''''',,,''''''''''...''''''''''''''''''.............'.............................................................................'''''''......................................'.............',;;,;;,'.''''''''''........................''''''',,,',;::::;,,'..........',;;,,,,;::ccc:;;;,,,,,,,,,,;cdxdooollooooooolllccloooll:;,;;;,;;,'''''',;;,,,;:c::cc:;,,'''''',,,'',,,;;::::::::::::;;;::::::cccccccclccccccccccccc::::::::::;;;;:c::::ccccccllllllllccclllllllllllllllllllllllllooooooooooooooooooooooooooodddddoodddddddooddooooooooooooooooooolccccccccccclllccllcccclllllllllccccccccllllllllooodddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxxxxdddddoodooollllllolooooooooddddddddddddddddddddddddddxx
cllllllllllllllllllllllllllllllllccccc::;,''......'.......''......'...'''''''...''''''''',,'''''''''...''''''''''''''''''..........'..............................................''''''................'''...'''''''''''.........................................''.............''''''''.'''''''''''''...........'.........'''..'',,''',;;::;,,'.....''....',;;,,,;::::::;,,,,,,,,'''',:lool::;:::clllccc:cclllllccccccc::;,''''..',,;;:looc::;,,,'',,,,,,,,,,,,,;;::::ccccc:;;;,;;;;;;;;;::::ccccllllllcccccc::;:::::ccc::::::;;;::::::ccccclllcc::ccccccccccccllllllllllllooooooooooooooooooooooooooodddddoooodddooooooooooooooooooooooooolllcccccccccllcccllccclllllllllcccccclcccllllllllooooooooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkxxxxxxdddddooollllooooooooooooooodddddddddddddddddddddddxx
llllllllllllllllllllllllcc:ccc:::;,,,'''..........'''..........'''''''.........''''''''''',,,,,,''''''''''''''''''.'''.....'''.....''''.......................................'''''''''''''''''''''...'''''''',,,,,'''''''............'''.........................'''...................'''''''.........'''..........'''''''........'''..'',,,,,'''''',,,'''',,,,,,,,,',,,,,;;;,,''''''',,;ccc:::::ccccccccloooooooooollllc:,,,'''',;;::clool:;,'''''',,,,'',,,',,;:ccccccccc:::;;::;;;;;;,,;;::::clllllllccc:::;;;;;;::ccc:::::;,,,;;;;;::::cccc::::;::::ccccccccclllllllllooooooooooooooooooooooooooooddooodoooooooooooooooooooooooooooooooolllllccccc:ccccccccccllllllllc:::ccccccccccllllloooooooooooooddddddddxxxxdddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkkkkkxxxxxddddddooooooooooooooooododddddddddddddddddddddddddd
llllllllllllllllllllccc:;,,,,,'''............''.............'''''''''.........''''''',,,''''',,,'''''''''''''''''''''...'''''....''''...........................''''''''''''''''''''''''''''''''''''''''''',''',,,,,'''.''....''....'''''...''....'''''''''''.''''''''...................'''''''.........'''..........''''...........''''...''''''',,,,,,,',,;;,',,''..''..'',,,,,,,,,,,,,,,;:::ccc::::::cccccccccccc::::clllc:,'.''',,;:ccllc;,'''''',,,,'',,,,,;;:cc::cc::cc::::::::;;;;;,;;;;;;::ccccccccccc:::;;;;:::::;;:::;,,,,,,;;::::ccccc::::;;;:cccccccccccccclllllooooooooooooooooooooooooooooooooooooooddooooooooooooooooooooooooolllllllcc:::ccccccccccccccccc::;;::cccccccccllllooolllllloooooddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkkkxxxxxxxxxxxddddddooooooddooooooddddddddddddddddddddddddddd
cllllllllllllllllllc::;,'''''''...........''............'''''''''''.....'''''''''''',,,'''''''''',,''...''''''''''''''''''...................''''...'''''''''''''''''''''''''''''''''''''''''',,,,,,,,,'''''''',;;;;,'''''''''''''''''''''''''''''''''''''''''''''''''''......'''..........''''''.....................................''''..........''''''''',,,''''''''''....'''''',;;;;;,,,,,'',,,,,,,,,,,,,,;;;;;,,,',:cc:clc,',;;;,;::;::::;''''''',,,,',,,,,,;:cc::cc:::::::::c::;;;;;;;;;;,;;;;;;::::cclllcc::;;;::;;;;;;:;;;,,,,;;;;;:cclllcc:::;;::::::::::cccccccllllllllooooooooooooooooooooooooooooooooddddoooooooooooooooooooooollllcccccc:::::cccccc::::::::;;;:;;;:::::::::ccccllllcccccllooooodddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxkkkkkxxxxxxxxxxxxxxxddddddoooooddooooooddddddddddddddddddddddddddd
cllllllllllllllllcc:,''''...'''........'''''.........'''''''''''.....'''''',,,,,,,''''''''',,,,,,,,'''.'''''''''....''''...........................'''...'''''''''''''''','',,,''''''''''''''',,,;;;,,''''....',,;:;'.....''''''''''''''''''''''''...''''''''''''''''''''''.....'''...............'''..................................'''..............''..'''''..''''''''....'''''',''',,,,,'''...''''''''''',,,,,,,,',;:::cllc:::cccc:;;::::,'''''''''''',;;;,,,;::c:ccc:;;;;;:::::;;;;;;;;;,,,,,,,;;;;::::::::::;;;:::::;;;;;;;;;;;::;;;:cclcccc::;;:cc:::;;;;;::cccccccclllllooooooooooooooooooooooooooooooooooooooooooooooooooolllllllllllccc::::;;:::::::::::;:::;;,;;;,;;::::::::::::ccc::::ccllllooodddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxkkkkxkkxxxxxxxxxxxxxddddddddddddoooooodddddddoddddddddddddddddddd
ccllclllcccc::::;,,''''''....''''..................''''''''''''''''''''',,,,,,,''''...'''''',,,''...'''''''....................'..................''''''''''''''''''',,,,,,,,,'''''',,,''''''''',;;::;,'''''';;;::::,'.'...''''''''''......''''......'''''''''''',,,'','''''''''''''...............''''.'...............................................''''',''''..''',;;,'''''.'''''''''''',,;;,'...',;;,'''''''',,,,,,,;;cloolc:;:cccccccc:;,'''''''''''',,;;;,,,;:cc::::::::::::::;;,;;::;;;,,,,;;;;;;;;;;::::c::::ccccccccc:::::;:ccc::cccc:;;;;;;:cccc:;;;;;;;;:::::::ccclllllllooooooooooooooooooooooooooooooooooooooooooooooolllllllllllcccc::;;;:ccc:;::;;;;;;;,,,;;,,,,;;;;;:::::::::;;;;:::ccclloooooododdooooodddddddddddddddxddxxxxxxxxxxxxxxxxxxkkkkkkkkxxxxxxxxxxxxxxxdddddddddddddddddddddddooddddddddddoodddddd
ccc::::;;;,,'''''''''''.........................'''''''''''''''',,,,,,,',,'''''..'''''''''''',,'''''.............'''.........'..................''''''''''''''''''''''',,,,,'''''''',,,'''....',;;:::;,,,,,,,;;;;:;;,''''........'''........'''''''..''.........'''''''''''''''''','''...............'''''''.......'',,'..................'''.............',,,'''''''''',,,''''''''''.''''''''''',,,,,;:cc:;,''''''''''''''';:cccc;,',,;;;;;;;;;,,,,,'''''''',,,,,'',;:c::;;;::cc::;;;;;;;:cc:::;;;,,;::;::;;:ccccccccclllllccllllcc:::cllcccc:::;;:::::c::::;;;::;;;:;;::::cccccllllllllllllllllllllloooolllooooooooooooooooooooooollllccc::cccccc::;;;,;:c::;;;;;;;;;;,,',,,,,,,,,;;;:::::::;;;;,;;;;::cllooooooooooooooodddddddddddddddddxxxxxxxxxxxxxxxxxxxxxkkkxxxxxxkkkxxxxxxxxxxxxxdddddddddddddddddddddddddddddddddddddd
,,'''''''''...'''''''..............''........'''''''''''''''''',,,,,,'''''''''''''''''''''''',''............'''''''......'''''...........'''''''''''''''''''''''',,,,,,,,,,,,''''''''''''''....,;;::::;;;;;,''....'''''...........''''''.....''''''..................'''''''....'',,,''..'''''.......'''''''''....';;::,'...'.............''''...'........',,''..''''''...'''''',,'''''.....''....'',;:ccc::;,,,,,''.......'',,,,;,''.......',;;;::c:;,,,;,,;;,,,,,,',:cc::;,,;:ccc::;:::::::cccc::;;;;:ccc::clllllllllllllccclllllcc:ccllcccc::cccccc::::::::;;::::::::::::cccccccllllllllllllllllllllllllllloooooooooooooooooollllllcccc::::::::::;;;,,,,,,,,,,;::::::;;,,,;;;,,,;;:::::;:::;;;,,,;;;::ccllooooooooooooooooodddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddxxxxxxdddddddddddddddddddddddd
''''''''''....''''.''..''.......''''''''''''''''''''''',,,,'',,,,,''',,,,,,,''''''''....'''''''....'.''''''''''.......''''''...''''''''''''''''''''''''''''''''',,,,,,,,,,,,,''''''''''''''''''',,;;;;;;,,,'.....................'''''''''''.'''''''....'''''''''''''''............''''',,,,,,'''''''''''''''''''''',,,,'''',,,,,'.......'''''...''.........'''....''''..........'''''''........'...''',;;;::;;;;;;,'...'''',,,,,,''........',;;;:::ccc:cccc::;;,,,,,;;:::::;;;;:cccc::cccccccccclllc::cclllllllllllclllccc:cccccccllccllccc::::::c:::;;;;;;;;;;;;;:::::::::::ccccccccllllllllllllllllllllllllloooooooooooooooooolllllccc::::::::::;;;;;;;;;;,,,;;::::;;;;;,,;:;;;:::;;:::;;;;;;;,;;;;:::cccllllloooooooooooooooddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddddddddddddddddd
,,''........''''''..'''''''''''''''''''''''''',,,,,,,,,,,,,',,,'''',,,,,,,,''.......'.''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,',,,,,,,,,,,,,,''''''''.''''''',;,'''''''''''''......................''''''''''''..'''''''''''''....''''''''...........'''',,''''',,''''''''''''''''......'''',,;:;;;,'......'''''....'.........''''....''.................'''..........''''''',;;;::::;,''''''',,,;;;,,'''.....''',,,;;;:::::::::::;,,,,,;;;::cc::;;;:ccccccccccccccllllllllllllllllllcc:::::;:::;;;;:cllllc:::;,,,;;;;,,,,,,,,,,,;,,,;:::::::;;;::cccccccllllcccllccccccclllllllllooooooooooooollllllllccc::::ccc:::::::::;;;;:;;;;;;;;;,,,,,,,;::;::::::::;;;;;;;;:::::::::cclllooooooooooooooooooddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddxxxxxxxddddddddddddddddddddddddd
'''.......''..''''.......''''''''''',''''',,,,,,,,,,,,,'''''',,,,,,,,,,,,,''......'''''',,,,''''''',',,'''','',''''''''''',,,,,,,''''''''''',,,,''''',,,;;,,'''',,,,',,,,,,'''''..........',,'................'.....'''..........'''''''',,,,'''''''''''''.......'''''''''''........''.....'.'',,'''''''''''''''.......''''''''',,,'.....'''''''..........''''''''..''.........'''......''''.........'''....'';::::;;;,,,,,,,;::::;;,''''''''''''',,,,,,,,,;;;;:c:;,,,,,,,;:ccc::;;;:cccccccccccccllllclllccccc::ccc:;;;;;;;;;;;,;;:cclccc::,'',,,,,''''''',,'',,,,,;:::::;;;::::::cccccccccccllcccccccccclllllloooolllooooollllllllcccc::::::::::::::::;;;;;;;::::::;;,,,,;;;:::::::::::;;;;:::::::::::::ccclllooooooollooooooooodddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddddxxxxddddddddddddddddddddddddd
'......'''...............'''''''''',,,,,,,,,'''',,,,,,,',,,,,,,,,,,,,,,,,,,,''',,'''.'''';:c:,'''',,'',,,,;;;;;;;,,,,,,,,,,,,,,,,,,''''''''',,,,''..''',;cc;'''',,,,,,,,,,,,''''''''.........................''''''''''''....'''''''''','''''''....'''''''.......'''''''''.................''.'''''''''''''.'''''''......'.......'''..'''''''''''.....''''',''''''..'''.''......'''.....''','''.......''''....';::::;,''''''',,;;;,,'''''..''''''''''''''',,,,,,;;;;;::;,,,;::::c:;,;;;;;;;;:cccccc::cccc:::;;;::::::;;;::;;:;;;;;;;::ccc:;,,,,,,,,''''',',,,,,,,,,,,,;::;::::::::::::::::cccccccccccccccclllllllllllllllllllllllllcccccc::::::::::::::;;;;;;;;:cc::;;;;;;;;::::;;;:::::;;;;::cccc::::::::cccclllloooolllllllloooooooooddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddxxddddddddddddddddddddddddd
'''''...'.............'''',,,,,,'',,,,,,',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',:ccc:;,,,,,;::::c:;:ccc::::;;;;;;,,,,,,''''''''''''',''.......','...',;;;;;;,''',,''',,,'','''''...........'''''',,,,,,,'''',,,,'''''',,,,,,,''..........''','''''''.......''''.................'''.....''.'''''''''..''''''.............''''''''',,'''.....''''',''''''''''''''......''''..'''''''''''''''''''''''',;:::;,''''''''',,,,''''''...''''',,'''''''','''''',;:clc;;;,;;;;:cc:::;;;;;,;;::::c::::::::;;;;;;;;;;;,,;;,,;;::;;,;;;;;;,,,,;;,,,,'',,,,,,,,,,,,,,,,,,,,;:::::::;::::;;;:::::c::::ccccccccclcccclllllllllllllcccccccccccc:::::::::::::;;;:;;:::::::;;:::;::::::;;;:::::::::::ccccc:::ccccccccclllllolllllllllloooooooooodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddxxddddddddddddddddddddddddd
................'''''''',,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,''''',,,,,,,,,,;:ccc:;;;:ccclllccloolllcc:;;;;;,,,''''.'''..........................'''',,,'..',,''''...'''''''''''',,;;;;:::;;,,;;,,,'''',,,,,,,,,;;;;,,,'.............''''''''''........'''''''''............''.................................'''.'''.''''''',,'''......''''''''''''''''''.......'''''''',''''''''''''''''''''',,;;,,''....''''''''''''''''''''''','''''',,,,''.',;:ccc:;;;:;,,,;::cc:;;;;;,;;;;::;;;;;;;;;::::::;;,,;;;;,,;;;;;,,,,,,,,,;;;;;;,,,'',;,,',,,'''',,,,,',,,;:;;;;::;;;;;,,;:::::::::::::cccccccccccllllllllllllcccccc:ccccccc:::::::ccc:::::::::::::::::::::::::::::::::::::ccccccc::::cccccccccllllllllllllllllllloooooooodddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxxxxxxdddddddddddddddddddd
.........''''',,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,''',''''',,,,,,,,,,,'',,,,,,,;;,,,,,;;;;;;:::ccclll::cc:;,,,'...''''.....''.................................'''''.'',;::;'.'',;;;;:;;;::c::::::::;,''',,,''''''',,,,,,;;:;;;;,'..............''''''........'''''''''''''''..........''.....................'..........',,'''''.....'',,,,''..'..''.....''''''''''''......''''''',,'''''''''''''''''''....',,,,,''..............''''.'',,''''''',,,,'''''',;::cc:;;;;;;,,;;;:cc:;;;;,,;;;;;;;;;;;;;;;::ccc;,,,;;;;,,,,,,,,,,,,,,,,;;;,,;;;,'',,,,,;;,''',,,,,'','',,;;;::::;;;;,,,;::;;;::::::::ccccccccclllcccllllllllcccccc::cccccccc::::cc:::::::::::::::::::ccccccccccc::::::cccccccccccccccllclllllllccllllllllllllllllloooooddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddxxxdddooddoood
.....''''',,,,,,,,,,,,,,',,,',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'''',,,,,,,,,,,;::::;;;;;;;;;,;;;;;;::;;;;,,,,'''...................'''..'.........'''................',;;;;;;;:cclc:;:ccccc:::;;;;;;,,,,,,,'....''.....''..''''''''''.'''..........''.''''''.........'''''''''''''''''..''''..'''.....................''''.......''''','''.....'''',''....'''...'''''''''.''''....''''...'',''.''',,,''....'''''''''''''''''...........'...''.'',,'''..',,;;,''''''',,;:c:;;;;:::;;;;;;;::c:;,,,,;;;;;;;;;;::;;;;:::;;;;,,,,,,,,,,,,,,',,,,,,,,,;:::;,,;;;;:;;;,,,,,,,,''''',;;,:c::::;,;;:;;;;;;;::::::::cccccccclllccclllllllllccccc:::::::::cc:::::::::::::::::::::::cccccccccccccccccccccccccccccccclllllllllllcllllllllllllllllllooooooooddddddddxxxxxxxxxxxxddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddooddoood
''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,:ccc:::;;,,,,''',,,,;;;,,'..........................'''''''''.....'''''''.'''''''''.'',;;:cllcccccccccccc::::;;,,,,,'''''''...............................''.'''''..........''..''''''''''''''''''''''''''.''''''''......................'''............'''''......',,''....''''''''',,'''''''''''''''''...',,'...',,;;;,'.....'''',,,'''''''........''''''..'''''''....'',,,,,,''''''',;::;,,;:cc:;;;;,,;;::;,,,,,,,;;:;;;:::;;,,,;;;;;;,,,,,,,'',,',,,''',,,,,,,;:::;::;;,,;:::;;,,'''''''',;,,;:::::;;;;;,,;;,;;::;;:::::ccccccccclcccccccccccclcccc:::::::::::::::::::::::::::::ccccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllooooooooodddddddddddxxxddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddd
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,''',,''''''''''..............................'''''''......''''''....'''''''.....',:c;,,,;;;;;;:;;,,,,,,,,'.............................'''.........'''''''.................''''..''''''''''''''''...''''''''......................................',,''....'','''''''..'''',:cc;,,,,,,,,''',,''''''',,,'''''',;:;;,'''''''',;;''''''...'''.'',;;:c;'..............''',,,,,,'''',,;;;,'',;;;;;::;;,,;;;;,,,,,,,;;;;;:::;;,,,;,;;;,,,'',,;,,'''',,'''',,,,,,,;::::;;;,,;::::;;;,''''''',,,,;:::::;;;;;,,,,,,;;::::c::::::cccccccc::::::::ccccccccc::::::::::::::ccccccc::::::cccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllooooooooddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddddddddd
,,,'',,,,,,,,,,,,,,,,,,,;;;;,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.....''''''......'',;,'.'''.................................'..''''.........'''''''...............',;'.....'''',,'.....'''.............................''''...........''''''.'''.........................''''''''''....''''''''......................................'''...'',,''',;;,,'',,;::::,,,;;;;;;;;:::;;,,;,,,,,,'''.'',,;;,,,',,,;;::;'..'',,'',,,,;;::cll;'.............''''''',,,,,,,,,,,,,,,,,,,,;:cc:;,;;;;;;,,,;;::;;;::;;;,,,,,,;,,,,,,,',,'''''',,'''''',,,,;::::;;;;::::::;;;;,,,''',,,,,;;::;;;;::;;;;;;;::;:::::::::::cc:;;::;;;;;;;;:::ccc:::::::::::::::::ccccccccc::cccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllooloooooooooooooddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxdddddddooodddddd
'''''''''''''',,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,;;;;,,,,,,,''....''.....................''.......................'''.....''''''''''''''.............'''''''''''............''...............................................''.''''............''....'''''...........................................'''''''...................'''...........''''...'',,''';;,,,'',;;;;,,''',;:::::::c:::;;;;;;;;;,''''''''''''''',,,;,'...'',,;::cccccccc;,'''.........''''......'...''',,,,,,;;,,,,;cool;,;::::::;::::::::::;;;,,,,,,;,,,,,',,'''''''''''',,''',,,,;;;;;;;:::;;:::;;;,,,,,,,,'',,,;:;;;;;;;:;;:::cc:;:::::::::;::;;;;;;;;,;::::::::c:::::::::c:::::::cccccccccccc::ccccccccccccccccccccccllllllllllllllllllllllllllllllllllllllllloooooooooooooooodddddddddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddddooooddddd
'...........'''''''''''''',,,,,,,,,,,;;;,,,,,,,,,''''''''.................................................'''''''''''''''''''''''..............................'''.......................................................''.'''....................''''''............................................'''''''................'''''''..........'''''...''',,,'''..''''','''',:cc:;;;;;:;;;;;:::::;,'''''''''............'''''',;::cc:::;,'''''.........'''..............'''''',::c::coddl:;::::c:cc:;;;;::::::;,,,,,,,;,,,,,',,,,,''''','''''''',',,,,;::::ccc:;:ccc:,''',,,'''''',;;:;;::::::::c:::;;;::cc::::;;;;;::;;;;;:cc::::::::::::::::::;;;;:::ccccccccccccccccccccccccccccccclllllllllllllllllllllllllllllllllllllllllllllloolloooooooooooddddddddoooooddddddddddddddddddddxxxxxxdddxxxxxxxxxxxxxxxxxxxddddddddoooodddddd
,,,''.....'''''''''''''..''''',,,,,,,,,,,,'''''''...'''''...............'''.................'''''''''''''''''',,''''''''''''''''''........................................................................................''''''....................'''''''....''......................................'''''''''''...........'''''''...........'''''.',,,,,,'''......'',,,;:clcc:;;::::::::::::;,'''''''''..''',,,,,;;;;;;,,,,,;;;;::;,''''''..........................''''',;cccclddol::ccccc::ccc::::::;;;;;,,,,,,,,,,,,,',',,''''''.'''''''''','',;;::clcccclcc;'''','''''''',,,;:::::::::::::::;;;::::::;;;;;:c:::::;,;::::;:::::;;;;;;;;;;;;:::::::ccccccccccccccccccccccccccclllclllllllllllllllllllllllllllllllllllllllllllollloooooooooooddddooooooooooodddddddddddddddddddddddddddddxxdxxxxxxxxxxxxxxddddddoooooooodddd
',''.......................''''''',,,,,,,,''''''''''............'''.................''''''''',,,,,''''',,;;,,,,,'.'''.....................................'''......'''..'...................................................'''.......................'''''''''''........................................'''''''''''''''''..''''''''........'.....'''',;;::;,'''......'',;;;;;:ccc::::::::::::c:;;;,,,'''''',,;;::cllllcc:;;,,,,,,;:cc;,'''''''.........................'''',,;;,,;cllc:cclllc::ccclolcc:;;;;;,,,,,,,,,,,,'',,,'''''''.''''''''''''''',,;:cc:cclc:,''''''.'',,,,''',;:::::cccccccc::;;;;;;,,;;;;:ccc:;;;;;;;;;;;;;;;::;:;,,,;;;;;;;;:::::ccc::ccccccc::ccccccccccccccccccclcccccclllllllllllllllllllllllllllollllllllllllllllloooooooooooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxxxxddddoooooooooodddd
.........................''''''''''''''''................''''''''''.....''.....''''''',,,,''',,,,,'''''',,,,''''..........................................''''''''''....''''...'''...'''.........................................''.........'...........'.''''''''''..'''.'.................................''''''''''''''..................''........'',;;:::,''''.''''''''..';:c::::::::;;;::cccccc:;,,,,,,,;;;:cllllccc:;,'''',,,;;;;,,,,'''..''''''..................'',,,''.'',;;;;::cclcc:::ccllllccc:;;;;;;;;;,,,,,,,'''',''''''''''''''.'',,,,,,,;::::ccc;,'''''..',,;;,',,,'',;;;::ccccccc:;;:;;;;;;;;;::::::;;;:;;,,;;;;;;:::;;,,,,;;;;;;;::::::::::::::cc::::ccccccccccccccccllllccccccllllllllllllllllllllllllllllloolllllolllllllloooooooooooooooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxddddoooooooooddddd
.........''''''''''''''''''''.....'''''........................'''''''''''''''''',,,,,,,,,',,'''..'''''''.................................................................'''''......'''''.......................................'''.....''''''.''..........'''..''''''''..........'..............................'''.......................'''............',;;;:c:,''''''''...';::::;;;;::::::clllllc:;;;;;;;;;;;cllllcccc;,'.......''''',,'''''''',,,'...................''''...''',,,,,;:ccccccc:::clllcc:;;;;;;;;,,,,,,,,''','''',,,''''''''',;:;;;,,,,,,,;::;'',''''',;,,;,',,,'.'''';::ccc:c:::::;;;;::::::::;;;;;;::;;;;;;;;;;:;;,,,,,,;;;;;;;:::;::::::::::::::ccccccccccccccclllllllllllllllllllllllllllllllllllllllllooooolloolllllooooooolooooooooooooooddddddddddddddddddddddddddddddddxxxxxxxxxxxxdddoooooooooddddd
......'''''''',,',,,,'''''''''''''.........................''...''''''''''''''''',,,,'''''................'....................'........................................'''''''......'.''''.................................''....'','''''''''''''''''..................................................................................''...''''.............'',::;,,'''''''...',,;:;;;;;;::::clllccccc:::clcc:::clollcc:::;,'''''',,'''''.'''''...',,'....................'''...'''''''',;;:ccccccc:ccccllcc:;;;;,;;;;,,,,,,''''''''''.'''',,;,,,;,''','....';;;'',,,,,,;;,,;;,,,''''''',,;;;;:::::::;;;::::cc:::;;;::::::;::::;,;;:;;;;;,,,,;;;;,;;;;;::::::;;:::::ccccccccccccccccllllclllllllllllllllllllllllllllllllllllllooooooooollllooooooooooollooooooooodddddddddddddddddddddddddddddddddxxxxxxxxxxddddoooooooooooodd
....'''''''''',,'''''''''''''''''''...................''''.'''''',,,,,,,,,,,,,,,;;;;,'...''........................''''''''''''''........''''''''....................''''.........'''''''''..''.............................',,,'..',,'''''''''''''''''''''.............................................................................,'........................''',,,'',,,,,,,,',;::::;;;::::cll:,,;:ccccc::c:cclooolc::::;,''''',,,,,,..',,,'''''''''...'...............''''..''''....'',,;::::cclc:;:clllcc::;;;;::;;,,,''''''''''''',,,;;,,'''''.','.''.',;;'.'',;;;;,,,,'',,,''',,,,'',,;:ccccc:::::ccc::::cc:::::::;;:::;;,,,;;;;;;;;;,;;;;;:::::::::::;;;:::::cc:::::cccccccccllccllllllllllllllllllllllllllllllllllllloooooooooooooooooooooolllooooooooooddddddddddddddddddddddddddddddddddxxxxxxxxxddoooooooooooddddd
'''''',,,,,'''''''''''''''''''''''''.........''.......'''''',,,,,,,,,,,,,,,,,,,;:::;'',,,,,''.........................'''''''.........''''''''''...''............'''''''........''''''''.'''''''''''........'''...........'''',,'''''''''''''..''''''''''''''''.........................................................................'...........'''...............'''',;;;::c:,',,;::::;;;;;;cll:;,,;:cc:;::cccllloollc::;;,,,,''',;;;,,;;;,,'',::::;,''''''.............'''.''''''..'''''',,,,,;;:;,;:lllllllcc::::;,,;,,,,'''''''',,,',;;;,,;,,''''.''''',;;,'',;;,,,,,,,''''''''',,,,',,;;::ccccc:::ccc:::::cccc:c:;;::::::;;;;;;;;;:::;;;;::;;:::::::llc:;:c:::::::;;;:::::ccccclccllllllllclllllllllllllllllllllllolllooooooooooooooooooooooolllloooooooddddddddddddddddddddddddddddddddddddddxxxxxxxddoooooooooodddddd
''',,,,,,,'''''''''''''''''''...'''''''.....'''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,''.',,,'.........................................''''''''''.......''''''''.''''''.............'''''.........''''''''''.....''.......'..'',''''',,,'''''''''''''..'''......''''......................................................................................''''.................',,',;:;'''',;:c::;;;:cllolc;;:ccc::::::ccccccccc:;;,,,,,,:cllccccc::;;;ccccc:;,,',,,''............'''''''''..'''''',,,,'',,,,,;:cccclllllccc:;,,,,,'''''',,'',,,,;;;;;;;,''...'',''',,,,,;;,''',,,,,,''',''',,,,,,;;,,;;::ccc::cc::::::cccccc::::::::::;:;;;;:::::;,,;::;;;::;;;;:cc:::c::;;;;;::;;;;;:::ccccclllllllcccccccllllllllllllllllllloollooollllooooollllllllllllloooooooodddddddddddoooooooooddddddddddoddddddddddxxddddddooooooooooodddd
,,,,,,,,,,''''.......'''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''..''.''......''...............''''''...''''''''''',,,,,'''''''''......''''''''..................'''''...........'''''''''...'''''''''''.'''''''',,,'''''''''''''..............'...........................................................................................................''''',;;;;;;;;;;::c:;:ccllcccccccccc:;;;:::;;;,,,,,,,,,;;:llc:,,,,;;:::::ccc:::::::;;,,'..............''''''..''''',,;;,,,,,,'''',,;::cllllllll:;;,,,,,,'',,'',;::;;,,,,,,'.....''''''',;;:;;,''''',,,,'',''''',,,;;;,,,,;;::cccc:::::cccccllc:::::::cc::::::::cc:::;;;:c:;;;;;;;;::cc::::::;;;;::;;;;;;::cccccclllllccccccccllllllllllllllllllloolllllllloooooooooolllllllllooooooooooooooddoooooooooodddddddddddddddddddddddddddddddooooooooooooood
'''''''''''........''''''''''',,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,'.........'''''..............''..''',,,,,'''',,'',,,'',,,,,'''''''''''''''..''......................'''''''''.......'''''',''''''''''''...'''''''...''''.....'.''''....................................................''........................................................'.............'''',,,;;;;;,;;;:c:,',;::::cccccccc:;;,,;;,,,,'....''',;;::,'.....'',,;;;;;::ccccc::;;,,'''''.........',,''.'''''',,;;,,,,,;,,,,,;;;;::cccclllccc:,,;;,,,',,,,;:;;;,,,,,'''.'....'..''',,;;;,'''''',,,,,,,,;;,,,,;:;,,,,;;;;;::cccccccccclllcc:cccccccccccc::::cccc:;;;:;;;;;;;;;:::::ccc:;;;;:::;;;;;;;:::ccccllccllcccccccccccllllllllllllllloollllllloooooooooooooolllllooooooooooooooooooooooooooooooddddddddddddddddddddddddddddooooooooooooood
''''''........'.'''''','''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,''.......................''''''','''','',,,''',,,'''''''''''''...'''''''',''..........................''''''''''''....'''''','''''''..''''.'''...................''''......'.............................................'''...........................''..................''''....''........''....'''',,,,,'',,,',,'',;:::cc:;;;;;;;;,,,,,,,,'''.......'''''.......'',,,''',;;::cc::;;;;;;;,,''.......,:c:,''''..',,,,,,,,,,,,,,,;;,,,;;;;;;;;::cc:;;;,,,,,;,,,;;;;,,',,''.''''''.''''..''',''',,,,,,,,,,,;;;;,,,;:;,,,,;;;,,,,;::::::cclllllllllcccccccccc:::ccccc::;;;;;;;;;;;;::::::::;;;;:::::::::;;::::cclllccccccccccccccccclllllllllllllloooooooooooooooooooooooolloooooooooooooooooooooooooooooooddddddddddddddddddddddddddddooooooooooooood
''.......''''',,'',,,,,'''',,''',,,,,,,,,,,,,,'''''.'''''''''''''''''''.................'''''''''''''''''''''''''''''''',,''''....'''''''.'''''''''''''''''''...................'''''''''''''''..'''''''''''.................................'''.....................................................''.....................''...''''..................''''.''''''.....'''.......''',,'''''''''',;::;;;,,,,,'''''',,'''''''''.''''..........''.''''''..'',,;:cc::;;;:::::;,''....';:llc;,''...''',,,,,,,,,,,,,,;;;;,,,,,'''';:c:c:;;;;;;;,,;;;,,'',,''',,'''..',,,'.',,''',,'',,''''',;;;;;;;::;',,;;;;,,''',,;;;;::ccllllllcccc::cccccccccccc:;;;;;;;,;;;::::::cc::;;;;;::;;::::::::::::::cc::ccccc::ccccccccccllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooooooooooodddddddoddddddddddddddddddddooooooooooodddd
''''''',,,''',,''''''''''',,,,,,,,,,,,,,''',,'''...........''''''''.....................'''''''''''''''''''''''''''',,''''''''''''''''''''''''''........................'''''''''''''''..'''...........''''...................................''''............................................................................'...''...................''''''''''''....'''...........'''''''',,;;;;;;;,,'''''..'''''''''''''''',,,'......'''...''''''''''',,;::cc::cccc:::;,''''',;clllc:,'....'''',,,,,''',,,,,,;;;,',,,,''',;:lolcccc::::::::;,,,,,''''''....''''..'''',,,'''''''''';;,;;::::;,,,,,,,,,,'''',,,'',;:cllllcc::::::ccccccccccc::;;;;;;;;;:::::::ccc::;;;;;;;;:::::::::::::::::::::ccc::cccccllccllllllllllllllllllllloooooooooooooooooooooooooooooooooooooooooooooooodddddddddddddddddddddddddddddoooooooodddddd
''''''',,''''''''''',,''',,,,''''''''',''''''''.........''''''''''.....................'''''''''''''''''''''','''''''''..''''''''.....................................'''''.''''.'''''''''''''''............................................'''''''.......''......................................................................''...................'''''''''''..'....''............'''''',,;::;;;;;;;,''........'''''',,,,,;::;,,,'''''.....',;,,;,,'''',,;;::cclccc::;,',;;;;:cccccc:,.....'''',,,,'..'',,,,,,,,,,,,,,'''',cllcccc::cc:::c:;,,,,'''.....''''''.....'''''''''',,,',;;;,,,;;;;;;,'''',,'..'',,''.',;::ccc::::::::cccccccccccc::::;;;;:::;;;;:::::c:;;;;;;;::cc::ccc::cc:::::::::ccccccccllcccclllllllllllllllllllllooooooooooooooooooooododdddoooooooooooooooooooddddddddddddddddddddddddddxxxddooooooddddddd
''''''''''.''''''''''''''''......'''''''''',,,'''''''''''''''''''...........................''''''''''''''''''''''........................'''....''''......''.......'''...........'''''''''''''''''''''.....................................''....'......'''''.......................................................................'..................'''''''''........'............'''.''''',;:;;,,,;:;;,''........''''',,,;:cllc:;;''........';;,,,,,,,,,'',,,;;:clcc:;,',::::::::::cc:,......'',,,,,'''''',,,'',,,,,,,,,,,;cc:clcc::ccc:::;;;,,,'''''''..''''..'....'''.'..'',,,,,,;;,',,,,;;;,,,,,,,'...'',,'''',,;;:c:;;;::cc::::cccc::cc::::;;;;;;;;;;;::;:ccc:::;;::::cccccccccllccccccccccccccccccccccllllllllllllllllllllloooooooooooooooooooooooodddooooooooooooooooooddddddddddddddddddddddddxxxxxxxxddoooooddooooo
''.....''....'''''''''''''...''''''',,,,,,,,''''.''........'''''....................''''.....'''''...'................'''''''''.......'''''''................''''''''''............'''''''''''''''''''''.'.........'.............................'''.....'''''''.............................................'''......................''.................'''''''''....................','..''''',;;;;,,,,,,,,,,'''....''''''''',;:c::;;,'........'','''''',,'''',,,,;:cclccc::::ccc:::::cll:,'....','',,,''''''',,,,,,,,,,,,,,;cllcclllcccccc::::;,;;;,''','..'''..''....','''''''''''',,,,,,,,,;;,,;;;,''''.',,,,'''''',;:::;;;::cc:::::::c:;::::cc::::;;;;,;;::::::::::;:::::ccccccccccccccccccccccccccc:ccccccllllllllllllllllllllooooooooooooooooooooooooooooooooooooooooooooddddddddddddddddddddddddxxxxxxxxxxxddooodddoooo
.......'''''''''''''',,,,,,,,,,,,,,,,,,,,,'''.....''...'''',,''....................'''''''''''''''..................'''''''''''........'''....................''..............''......''''......''''''''''''''.....''.............................'''...'''''''''..............................................'''''..................'''..................''''''''''..................'''''..''',,,,,''''..',,,,,'...'',,,,,,,',;::;;;;,,''........'...'''''''',,,,;:::ccccccccccc:::::cllc:;,''.'''',,,,,,,,''',,,,,,,,,',,,;:cllcllllllcccccccc::::;,''''.'''''''','...''''''''',,,,,,,,,,;;;;;;;;;;,'',''',,;,''''..',;;;;:;::::::ccc::::::::::cc::;;,,,,;:::::;;:::::;;::::cccccc::::ccccccccccccccccccccllcllllllllllllllllllloooooooooooooooooodoooooooooooooooooooooooooddddooodoooddddddddddddxxxxxxxxxxxxxxxdddddddddd
'''''''''''','''''',,''''',,,,,,,,,,,,,,,,'''''''''''''.............''''.....''''''''''''''''''..................'''''...'''''''''''''....................'''..''''.......'...''.......''''..'....'''''''''''''....'......''................'''.......''''''..'''''...........................................''''''''................'''..............'......''''''''''................''',''''',,,,,,'''..'''',,'''..',,;;;,,'',,,,,;;;,'...'''.......'''''''',,,;:::::;;::cccccc::::ccccc::;;,''''',,,,,,,,,''',,,,,,,''',,,;:clllllllllc::ccccc::c::;,'''''''''''''.''.'''''''.'',,,,,,,,,;;;;;;;,,''',,''''''''''''',,,,;::;::::::ccc:::::::;:ccc:;,,''',,;::;;;:::c::::::cccccccccc::::cccccccccccccclllllcclllllllllllllllllloooooooddooooooooooooooooooooooooooooooooooooddddoooooooodddddddddxxxxxxxxxxxxxxxxxxxxxxdddd
',,,,,,,,,,,,,'''''''''',,,,,,,'''''''''''....'''''',,''...........'''''''''''''''''''''''''''''''''.......'''''''''''''''''''''''''''''.'''....'''''''''''''''''''''.........''.........''''''.....'''''''''''...'''.....'''..............'''''......'''''...''''''.....................................'.......''''''''........................'''''''......''''''''''''''''...........',,,,'''',,,,,,,,,,,,''''''''...',,,''..'''',;;,,''''''''..........'''''',,;;,,,''',,;:cccc::::::;;,,;,,'''''',,;,,,,,,,,'',,,,,,'',,,,;:cccllllllc;::ccllccccc:;;,,'','''''''...''''.''....',,,,,;,,,;;;;;;;;,''''..'..''''',,;;,'',:::;;;,,:ccccccccc::::::::;;,;:;,',;;::::cc::ccccclc:::ccccc:cccccccllllccccclllllcccclllllllllllllllloooooooddddoooooooooooooooooooooooooooooooooodddddddddooodddddddddxxxxxxxxxxxxxxxxxkxxxxxxxx
,,,,,,,'''''''',,''...'''',,'''''.............'',,'''''''''''''''''''',,,''''''''''''.......''......''......''''''',,,'''...''''''''''''''''''''''',,,,'''''''''''''''..''''''','..........'''''.....'''''...'''..''''...''''''.......''....'''''......'''''..''''''''''..................................'........'..'''''''......................'''''.......'''''''''''''''.....'''''''',;;,'''','''',;,,,,''.''''''.........'''',,;;,,,'','''''.........'''',,,,,,,''....'',:cc:;;;;;,,,,,,''..''',,,,;;,,,,,,,,,,,,,,,,,,,,,;;:cllllllc;,;;:cllllccc:::;,'''''''''''..''.'''....''',,,,,,,,;;;,,;:;,,''..'''''''',,;,''',::;;;;,;:cc:cccccccc::::::cccc::,''',;:::::;;:ccc:::;;::ccccccc:ccccclllcccccllllccccccllllllloooooolloooooooddddooooooooooooooooooooooooodooddoodddddddddddddddddddddxxxxxxxxxxxxxxxxxkkkxxxkxxxx
'','''''',,,,,,''''..''''''''''''''''''''''''''''''......'''''''''.....''''''....'''....'..'''''''''''''''''''',,,,,,''''''''''''''''''''''''''''',,,,''''''''''''''''''''''''',,'..........'''''......''''''''''''''''..''''''''......,'......''''''''''''''''''''''''''''...........................................'''''''''''''..................''''.......'''''''''''''......',,;,,''',,;,,''','''',,,,'''.''''''''..........'',,;,,,''''''''''''.....'''''',,,,,,,''...'',;::;,,,,,,,,,,,'''''',;;;;;;;,,,,,,,,,,,,,,,,;,,,,;:cccllllc:;,,;:cclllccc:::;;;;,'''''''''...''.......'''',,,,,;;,,;::;,'''''''',,''',,,''',;;;;;;;;:::::cccccclc::::ccc:,,'''''',;;;;;,,;::::;;;;:::ccccccccccclllccccccccclllcccccllllllllooooooooooooooooooooooooooolllloooooooooooooddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxkkkxxkkkxx
'''''''',,,,''''''''''',''''''''',,,'''''''..'''''''..............................''..''''''''''''''''''',,,,'',,,,''''''''''''''''''',,,,,''''''''''''''''''''''''''''''''''''''''''''.......''''''''..''''''''''''''''''''''''''.....'''.......'''''''''',,''''''''''''''...................................'''.....''''''''''.'''...................''''.......'''''''''''.....'',,;,''.''',,,,'',,,''',,,'''''''''''''..''........',;;;,''''',,,,,'''...'''''',,,,,,,,,''..'',;:;;;,;;;:::;;;,,'''',,;;;;;;,,,,,,,,,,'',,,,,,,,,;:ccclllllc:;;;;;cllccc:::cc::;,,,,,''''...'''......'''',,,,,,,;,,,,,,',,,,,'..'''''''''',;;;;:;;;;;;;:::ccccccc:::ccc:;,,'''',,,,,,,,,;;:::;,,;::::ccccccccccclllcccccclllllccccclllllllllooooooooooooooooooooooooollllllooooooooooodddddddddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxkkkkkkxx
''''''''''''..........'',,''',''''''''''''''''''''..''''..............................'''''''''''''',,,,,,,,,,,,,,,,''''''''''''''''''',,,,,'''''',,''''''''...'''''''''''''''.'''''''''''''...'''..''.....''......'''''''''''''''''''.'''''''''.''''.''''',''''''..''''''''...''................................'''''''''''..........''..................'''''''..''''''''''''....',,,,'''''''',,,,;;,,'.',,'''...'''......'''.......''',;;,'..''''''''''''''''''',,,,,,,,,''''.',;;::;;::::::c::;;,,''',,,;;;;;,,,,;;;,,'',,,,,,,,;;:cccllllllc:;,,:cllc:::::::::;;:::;;,'..........'''''''',,,,,;;;,'',,,;::;'...'',,,''',;;;;;:::::;;;;;;:cccccccc:::::::;,',,,,,''',;;;:c::::;;:::::cccccccccclccclllllllcllcccccllllllllloooooooolooooooooooooooollllllllloooooooodddddddddoooddddddddddddddxxxxxxxxxxxxxxxxxxxxxxkkkkkkxx
'''''''''''''...........''''''''''''''''''''''..''...'''''.............................'''''''''''',,,,,,,,,,,,,,,,,,'''''''''''',,,,'''',,,',,,,,''''''''''....''''''''''''''''''''''''''''''.''....''''..''............'''''''''''''''''''''''''''..''''''''...............''''................''..................''''''''...........'.....................'''''''''..'''''''....',,''''''''''',,,;;;,''''''...............''''...'''..''''.''''....'''''.''''''',,,,,,,,,,''...',,;;;;;;;::ccc::;;;,,,',,,;;;;;;:::::;;,,'',,,,,,;;:cccclllllcc::;;:cc:;:c::;;;;;;;;::;'..'''''....''''..''',,,;;;;;;;;;;;;,,''.''',,,''',,,,;;:::;;::;;;:::ccccccc:::::::;,;;,,',,,;;;;::::::;;:cc:::c::ccccccccclllllccccllccccccllllllllllllllllllloooooooooooolllllllllllooooooddddddddddooooodddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxx
''''''''''''''''...'''..''',,'''''''''''''..''''''''....''''''''''''..........''...'''''''''''''',,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,''''''''..''''...'''''''''''''''''''''''''''''''''....'''''''''............''''''''','''''''''''''''...'''..''...................................''............................................................'''''''''..'''''''''..''''',,,'''''..'',,;;,,,'''''.............'''''''''''......'''''.'''''''''''..'',,,,,,,,,,,'''''',,,'''',;:c:::::::;;,',,,,,;;::ccccc:;;,,,,,,,,,;;:ccccclllllllc:::ccccclc:;;;;,,,,;;,''',,,''....'''...''',,,,,,;;;;;;;;,,,'''''''''',,,'',;::::;;;;;:::;;::c:::cccccc:;;;::;,,;;;;;;;;;::c:;:cc:::::::ccccccccccccllcccccccccccllllllllllllllllllllooooooooooolllllllllllloooooodddddooddddooodddddddddddddxxxxxxxxxdxxxxxxxxxxxxxxxxxxx
''''''''''''''''....'''''',,,''''''....'''''.'''',,,,,,,,''''''''''''''''''',,,'''''',,,',,,,,,,,,,,'''''','''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''..'...''''''''''''''''''''''''''''''...''''''''''............'''''''''''.......'''''''''.....''..................................'''..................................................................'''..'''''''''.....'',,,,'''......',,,,,'''','''......''',,,,,,,,,,,'....''...'''''''''''''...''',,,,,,,,,,,,,,''',,''.',::::::;::::;;;,,,,;::::::c::;;;,,,,,,,,;;;::cc:ccllccccc:::cccllllcc::;;,,,,;,,,;;;;,'.'...'...''''''''''',;;;;;;,'',,,''','',,,'',;;:::::::;::c:;;;:::::ccccc::;;,,;;;;;;;;,,;;::::;,;;;::::::ccccccccllcllllcccccccccclllllllllllllllllllllloooolllloooooooolllllooooooooddddooddddddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxdddd
'''''.........'''..'''''',,,'''''''........'..''',,,,,;;;;;;,,,'''''''''''',,''''''''','''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,''''''''''''''.''''''''''''''''''''''''''''''''''''''''''''''''.......'','..................''''...'''.....'''''''..............................'''.........................'.........................................'....'',,'''''..''''''''''.......''',,,,,,,,,'''''''',,,,;;::::;;,'''........''.......'''''''''''''''',,,,,,,,,,,,'''',;,,;;;,,,;:::cc:::cccc::;;;,,,,;;;;;;;;;;;;:ccccclc:;::;;;;:ccllllllccc:,'',,,,;::;,'''...'...'''''''''''',,;;,,,,,,,''''','',,,'',,,,;::;,,,;::::;;;;;;;:ccc:::;;,,::::;,,,,::::;;;;;;,,,,,;;:cccccccllllllllcllllllccccclllllllllllllllllllloolllllllollooollllloooooooooooodddddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxxxxddddddd
'''...........''''''''''',,,,,,,,,'''................',,,,,;;;,,,'''''''''''''''''''''''...''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,''''''''''..'',,,,''''''''.'''...'''''''''''''''''''''''''''''''''''''''''''''''''.....'','...................'''....''''..''''''''''..................'''.................................................................................'',,,,,''''''...'''''''.........',;;;;,',,,,,,'''''''',;:c::::;;,'''...''''.......''''..............',,,,,,,,,,,,,,,,,,,,,,,;;::ccccc:cccc::;;,,'',,,,,;;:::;;;:cllcccc:;;,,,;;:clllllllllc:,,,''',,;:;,'''''''..'''''''''..'',,,,,'',,''''',,,,,,,'.''''',,,''',;;;;;,,;;;;;;:cc:::;;,;:::;,'',:cc;,,;:c:;,,,,,,;::cccccllllllllcccccllccccclllllllllllllllllllllllllllllllllllllllllloooooooooooooddddddddddddxxxxxxxxxxxxxxxxxxxxxxxxxdddddddddd
,,,''............''',,,,,''',,,,,,,'''....''','.......'',''''''''''......'..'''..'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,'''''''''''........''''''...'''''''''''''''''''''''''''''''''''''''''''''....................'''...''''''''''''''''''.................'''...................................................................'............''',',,,'''''....''''............',,;;,'''',,,'''..'''',;;;;;;::;;,,''.'',''''...',,,'''............',;;,,,,;;,,,,,,,,,,,,,,,,,;:cccc::cccccc::;,,,,,,,,;;:::;,;:lllcccc:;,',,;;::ccccccccccc:;,'''',,;:;,'''''.....''''''..',,,,,,,'','''''',,,,'''..'''''''''',;;::;,,;;;;;:::c::::;,,,,,,''',;:;,,,;;;,,,,,,,',,;:cllccccccccccc:cccccccccccllllllllllllllllllllllllllllllllllllllolloooooooooooodddddddddddddxxxxxddxxxxxxxxxxxxxxxxddddddddddd
,;;,,,'..........''',,,,,,''''''''''''''..''',,,,,''',;:c:,''''''................''''''''''''''''''',,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,'''''''',''',,'.'''''''''...'''...''''..''''''''''''''''''''''''''''''''','''''''''','.....................'''''''''''''''''''''''''...............'''''.................''...........................................................'''''',,''''.....''''''''........',,,,,,,''''''''''''''',;;,',;;;;;,,''',,',,,,,,;;:;;,,''''''....'',;;:;;;;;;;;,,,,;,,,,,,,,,,,,;::::::ccc::ccc:::;,,;;;:::;;,;:cllcccccc;,,,,;;;;:clccc:::::::,,,,,,,,;:;,,,'''....'.....''''''',,,,,,,,,,,,,,,,,,''''''''''',;;ccc::;;:::::cccc::::;,,'''''''',,'',;;;,,;;;;,,'',;:::::cccccccccccccccccccccclllclllllllllllllllllllllllllllllllloooooooollooooddddddddddddxxxxxxxddddxxdddddddddddddddddddddddd
',,,'''''''''''''''''''''''''''..'''',,,,,''''''',,,,,;;;;,''''................''''''''''''''''',,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,;,'''''''''''''''''''.''.....'''''''''''''''''''',''''''',,,''''''..''''''''''''..................'''''''''''''''''''''''..........'.'''''''''''............''.........................'.................................'''..''''''''.'''''''''''''''...''''',,,,,,,',',,,''''''',;;,,,,;;,,,,,,;,,,;;;;::::::;;,,,'''',,,,,,,;::::::::;;;;;;;,,,,,,,,,,,;;;;;;;::::;::ccc::;;:::cc::;;::ccllcccccc:;,,;;,,;:ccc:;,,',;:;;;;,,,,,,;;;;,,,''..'.....'''...''',,;,;;;;;,''''',,,'',''''''';:cc:;;;,;:c::clccccccc:;;,,,'''''''''',,,',;;,,,,'',,,;:::ccccccccccccccccccccclcccccccclllllllllllllllllllllllllllloooooooooooooddddddddddddxxxxddddddddddddddddddddddddddddddddd
''''''...''''''''..........'''.......'',,,,,,,,',,,,,,,,,,''''....'''''''''''''''',,'''''''''''''''''''''''''''''''''',,,'''',,,,'''',,'''''''''',,,,,,'''''''''''''''.....''''.''''''''''''''''''''',,,''''''''''''''...'''''''''''''.....''..................''''''..''''''''.................'''''...........''............................................................''''''','''''..'''''''''''''''''''''''',,,,,,,,,,,''''''',;;,'',,,,''',,;;;;:;;;;;,,;::::;,''',;,,,,,,,;;:::::;;:::;;,;;,,,,,,;;;,,;;,,,,,,,,,;::c:::ccccccc:::ccccccccccc::;;;;,,,,;:::;,,,',,,,;,,,,,,,,,;;,,,,''''...''.....''''',,,;;;;;,,,,,,,,,,,,;;,''',,;:cc:,,,,,;::cccccccccc::;;;,'''''''''''''',,,''''','',;;:::ccccccllccccccccccccccccccccclllllllcccccllllllllllllllloooooooddooodddddoddddddddxxxxdddddddddddddddddddddddddddddddd
.''''''''''''''''''''''.....''......''''',,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''........................'''''''''''''''''''''''''''''...'''''''''',,,,'',,,,,''......'''''''''''''''''''.....',,'''''''...'''''''''''.......''......''...........................'''''''................................'''....',,,,''..............'.......................'..........'''''',,'''''....''''''''...''''''''''''''''''''''''''''''''.''',,'''.',,;;::;,,'''';:::;,,',,,,,,,'....'',,,,;cll:;;;;;,,,,,,;;,,,,,,,,,,,,,,,;;:::cclllllcccccccccccccc:c:::;;,,,,;:::;;,,,,'',,,,,,;;,,',,,,''''''.'''.....'''''',,,;;;,,,,,,,,;,,,,;;,'',,,,;:::;''',,;;:::cccccccccc:;;;,,,'',,'',,',;:;''''',,'',,;;:cc::cccccccccccccccc:::cccccccllcccllllccccllllllllllllllloooooooooddddddddddddddddddddddddddddddddddddooooddddddddddd
'''''''''',,,,,,''''''......'''''''''',,,,,'',,,,,,,;;;,,,,,,,,,,,,,,,'''''''''''''''''..................'''''''''''''''',,,'''''''''''''............'',,,,,,,''',,,,,'''...''''''''''''''''''''''''''''''''''''....'''''''''''...........'''''.............................''''''''............................'''....',,,'''..............'''.....................'''...........''''',,,''''........'''.....'''''''''''.....'........'''......'''''.''''',,,,''''',,;;,,,,,,,''''.......''':loc:;;::;;;,,,;;;;,'',,,,,,,,,,,,;:::cccllllllllcc:;;:cccccc:::::;;,,,,;:::;;,,,,,,,,',,;;;,,,,,,'''''''''''........''',,;;,,,,,,;;;;;,,,,,''',;;;;;;;,''',,,,,;:ccccccccc::::;;;,',,,,,,'';;,''''.'''''',,;::::ccccccccccccccccccccccccccccccccccccccclllllllllllllllooooooooooooooddoddddddddddddddddddddddddooooooodddddddddddd
''....'''',,,,,,,,''''''.....'''''''''''''''....'',,,,,,,,,,''''',,,,,'''''''',,,'''''''..''.........''''',,,,,,,,,'''''''''''....'''''''''''...''''''''''''''',,''''''''''''''''',,,''''''''''''''.''''''''''''''..'..''''''''''''''''..''''''''''.............................'''''..........................'',,'''..............................................................''',,,''''......................''''''.............',,'.......''''......',,'''',,,,,,;,,,,,',,''....'''',:lc;'',;:;,,,'',,,;;,,'',,,,'',,;;:cccccccllllllllc:;,,,,;::ccc:::::;;,,,;;:::;;,,,,,,,,,,,,,,''''''''''''''''''''''.'''',,,,,,,,;;;,,;;,,,,,,,,;;;,,',,,,'',,''',;::ccccccccc:::c:,',;,''''''''''''''''..'',;:::cccccccccccccccccc:::::::cc:::cclcccllcllllllllllllllloooooooooooooooooooooddddddddddddddddddooooooodddddddddddddd
........''''''',,,,'''''''''''''''''''''..........'''''''',,'''''''',,,''',,,'',,,'''',,'''''''''''',,,,,,,,,,,,,,,''''',,,,,,'''''''''',,,''''''''''''''''''''',,'...''''''''''''',,,''''''''''..........'''''''''........''''''''''''''..''''''''..................'.............'''''''........'.'............'''.............................''..........................'........'',,,''....''''''''............'''''''..'........',;,'..........'''.....',,,,;;,,,,,,,,,,,''''''''''',;:c;'.'',,,,'''''''',,,,,,,,,''',;;;:ccc::ccllllllllcc:;,,,,,;:::::::::;;,,,;;:c:;,,,,,,',,,,'''''',,,'''''''''''''..''''',,,,,,,;;::;,,;;;;,,,,,,;;,,,,,,,''''''''',;:ccccccclcccc:,,,,,,,'''''''''''''''''',;:::cccccccccc:::cccccccccc:::c:::::ccccclllllllllllllllllooooooooooooooooooooddddddddddddddddoodooooddddddddddddddddd
'.........''''''''''',,,,,,,''''.......''................''''''..''''''''',,,,'',,''',,;;,,,'',,,,,,;;,,,,,'''''''''''''''',,,,,,,,,,,''',,,,,,'''''''''......'''''.........'''''''''''''''''''''...''....'''''''''..'''.....''...'''''''..'''''''''.................'''..............'''''.....'''.''............................................''.........................'''.......'''',''...''''''''''..........''''''''''........'',,,''''''....''''.....',,;::;,,,,,,,,,'''''''''''',;clc;''',,,,,,'''''''''',;:::;;;;;,,;;;;;;;:cccllllllcc::;;,,,,;:::::::;;,,,,,;;::;;,,,,',,,,'''''',,,,,,'''''',,,,'.''''',,;::;,;;:cc:;;;:::;;;;,,,,,',,''''''''''',,;:ccccccllllc:;,'''',,,''''''''''',,''',,;;;::cc:::cc::cccccccccccccccccc:::ccccccllllllllllllllllllllooooooooooooddddddddddddddodddddoooooodddddddddddddddddd
,''''''''''''''''.''''',,,,,,''''.......''................''......'''''',,,,,,,,,,,,,,,,'',,,,,,,,,,,,''''''''''''''''''''''''''''''''''''',,'''''''''''''...'''''..'..........''''''''''''''''''''''''''''''''''''''''''.''''''...''''''...''''''''''''............''''''''............''''''''''''''''.............'.............................''''''.......'''..''......''.........''''''''''''''''''''''........''''''''''.......''''',''''''''''''''''...'',;:;;,,,''''''.......''''';:cloc;,,,,,'''''''..'',,;cloool:,''''',;,,;;;::cccllc::::;,'''',,;;::;;,,,,,,,,,,;;;;;,'',,,''''''',,,,,,'''',''',''''''''',;c:;,,;:c::;;::c:;;,,;;;,,,,,'',,,,,,,,;;,;:::ccccllllc:;,'''',,,'''''',,,,''''',,'',;:::::ccc::ccccc::cc:::ccc:::::::ccccccclllllllllllllllllllllllllooooodddddddxddddddoooooooooooodddddddddddddddddd
,,,,,,,,,,,,'''''''''''',,,,,,,''''......''''.............'''....'''''..''''''''''',,;,'''',,,''''''''''........'''''''''''''''......''''''''''''''''''''''''''',,'''''............''''''''''''''''''',,'''''''''''''''''''''''''.....'''''....''''''''''.......'''''''''''''''............'''''''''''''''...'.........''...........................''''''.....''''''''''..'''...........''''....''','''''.'''''........''''''''''.'''''''''''''''''''''',,'''..''',,,,,''''''''''.....'''''';:clol:;;;;,,''',,'',,;;;;cldddoc;,,'.,;;;;;;;;;;::::;;;;;,,'''''',;:::;;,,,,,,,,,,;;:;;;,,,,,,''',,,,,,'',,,;,,,,'''''''',,,;:;;,;:::::;;;:::;,,;;;;;;;;,,,,,,,,;;;;;;,,,;::ccccccc:;,',,,,,'''''','',,''.''''',;;;::ccccccccccc:::c::;::c:::cc::ccccccccclllllllllllllllllolllllloooodddddddddddddoooooooooooooodddddddddddoddddd
,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,'''''''''''''''''...........'''''''''''''''''''...''''''''''''''''''...........''''''''''''''...'''''''''''''''''''''''''''''''''..'................'''''''''''''''',;;,'''''''''''''''''''''''''''..'''''......'''''','''''.'''''''''''''''''''................''''''''''''''.........''.............''..............''''....'''''''''''''''............''''......'''''''''''..............'''''''',,,''''...'',,''''''',,'''''''',,,;,,',,,''''''...''',;;,;;;::::::::;;,,;,,,;;;;,,;:coddolllc,',,;;;;;;;,,,,,,;;;;,,,,''''',;:ccc:;,,,,,,,,,,,;;::;,,,,,,,,,,,,,,''',,,,;;,,''''',,,,;::;,,;:cc::;;;,,;;;;;,;;;;;:;;;;,,,,,;;;;,'',;;:::::::;;;,,,,,''''''''''',,''''',;;;,,,;cc::ccccccccccc::;:::::ccc:::c:ccccccclllllllllllllllllllllllooooodddddddddoooooooooooooooooddddddddddddddddd
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''.....'''''''''''''''''''''''''''''''''''''''''..........'''..''''''.......''....'',,''''',,,''''''''''...............'''.......'''''',,'''''''',,,''''''''''''''''''''''''''''.'''''''....'''''''''''''''''''''''''''''''''.................''''''''''''''........''''''........''''............'''.......'''''''''''''''''...................'...'''''''''..............''''''',,,'''''''''''''''.''''''''',,,,;;,,,,,,,,,,'''''''';;;,,,,;;:::ccc:::;;;::::;,,,,;:lddooolc:;,'''',,,,,,,,,,,,;;;,,,,''',,;;:cccc:;,,,,,,,'',,;::;,,,,,'',,;;,,,'''',,,;;;,,',,,,,,;;;,'',;::;;;:;;;;,,,;;;;;;::::;;;,,;;;:;,,,;;;::::::c:::;,,,,,,'''''''''',;;;,,;:;,''',;;;;::::::::ccccccc:::::::ccc::ccccccclllllllllllllllllllllllooooooooooddddoooooooooooooooooddddddddddddddddd
,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,''''''''',,,,,''''''',,,,''.....''''''''''''',,,,,''''''''......................................'''''''''''''''''......',,,'......'''''''.......'',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....''...........''''''''''''''''........''''.'''.....'''...........'''.........''''''''''''''''.......'''''''''.''....'''''''''''''''.........''''.''''''',,,''''''''...'''''..''''''',',;;,,,,,''''',,,;;;;;;;;;;;;::::ccccc::;,''''',:oddoccclcc:;'..''',,,,,,',,;;;,,'',,,,,;;;:cclc:;,,,,,,,,,,,;;;;;,,,,,,;::;,,'''',,,;;;:::;,'''',,,,,,,,,,;;;:ccc;,,,,,,;;::::::;;;::;;;;,;;;;::cc:ccc::;,;;;,,;,,,,,''',,;;;;;:;''''.',,',,,;;::::::ccccc::::::ccccccccccc:cccllllllllllllllllllllloooooolllooooooooooooooooooooodddddddddddddddddd
;;;,,,;,,,,,,,,,,,,,'',,,,,,,;;;;;,,,,,,,,,,,,'''''',,,,,,,,,,,''',,,'''...''''''''''...'',,;;,,,''''...'..........',;,,'........................................''.';:;'.....''''..'''........'','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..''''''''''..''.............''.....''''''''.........'''','......''...........''''................'...'''''''.....''''''',,'''''''',''''''''''''''....''..'''.......'',,,'''''''''''..'''..........',;;,,,,,,,,,,,,;;;;:::::;;,,,,;;::::;;,,,;;;::codxoc::::cll:,'....',,,,,,,,;;,,'',,,,,,,,;;:clllc:;,,,,,,,,,,;;:::::;;,;;;;,,,',,,,,,,;:ccc:;,,,'',,,;;,,;:::ccc:;;;;,,,,;;:::::::::;,,,;;;;:::cc:::cccc::c::;,,,,,,,,',,,,,,,;;,''''''''''',,;;;;:::cccc:::cc:ccccccccccccccccclllllllllllllllllllloooolllllloooloooooddoooooooooooddddddddddddddd
;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''..''''..'';ccc:;,'.....''.........';::;,'.................''.....'...............''''',,,''''''.........'......'''.'''''',,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.....''''''''''''.....................'''''''..........''''.......''...........'''......................'''''''...''''''',,,,'''''',,,',''''''''''''''''''''''''.......''''''''''''''................,,,,,,,,,,,;;;;,,;;;::::;,,,;;;,,,,;;:cclllooooodol:;;;;:cll:'....',,;;,,,,;,,,,,,,,,,,,,,,;:clolc:;;,,,,,,,,,,;;::;;,,,,,,,,,,''',',,;::cccc:;,'',,,,;,;;::cccc::::;;;,;;::::::::::;,;:cc:::::::::cclllccc::;;;,,;;,'',,,,''',,''''''',,,''',,;;:::::cccccccccccccccccccccccccccllllllllllllllllllllloolllllllllloooooooooooooooooooddddddddddddd
,,,;;;;;;;;,,,;;;,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''..'''''',:clc:;,''''''''''.'''.'',;;,'...'....''..........''''''''..................'''''','..............''''','....'''''''''''''',,,'''''''''''''''''''''''''''''''''''''''''''''''''''....'''''''''''''.....................''''''.............'''''''.'''...........''''....................'''''''''''''''''',,,,,'''',,,,,,,,'''''''''....'''''''''''''...'''''''','''''''.............',,,,,;;,,,,;;,,,,,,;;;;;,,',,,'....,:lloooollllllc:;,,,;:cll:,'''''',,,,,,,,,,,,,,,,,,,,',,;;:cloolc::;;,,,,,,,,;;;;,,,',,,,,,''',,,;;:::cccc::;;,,,;;;;;;:c:;;;:::::::::::;;::::c:::;::::;;;::;:::ccllc:cccc:;;;;;,,',;;,''''',,,,,;::;,''',,,;;;::ccccccccccccccccccccccccccccccccllllllllllllllllllllllllllllloooooooooooooooooooddddddddddddd
,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''',,,,,,,,,,,,,,''....''''',,''''''''''''''''''''''''''',,,,'''''...''............','...............''',,,....''''''''..',;;;;,'''''''''''''',,,''''''''''''''''''''''''''''''''''''..''''''''''''''''''.........''........''''............',,,',,'''''............'''...................''''''''''''''''''',,,,,,,,'',,,,,,,,,,'''''........''.........'''''''.''''''''''.............''''',,,,,,,,,,,,,,,,,,;,,''''''...',;:clllllllccc::;,,,,:cllc:,,''''',,,,,,,,,;;,,,,,,,,,,,,;:clloolllcc:;;,,,,,;::;,,,,,,'',,,''',;;;::::cc:::cc:::;;;;;ccc:;;;;;;;;::::;;;;;;;::c:::::;;,;::::cccclccccllcccc:;;;;,,,,,,,,,,'''',;:::;,,''',,,,;;::::ccclllccccccccccllllcccccccclllllllllllllllllllllllllllllooooooooooooodddoooddddddddddddd
'',,;;;;;;;;,,,,,,,,,,'''''''''''',,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,'''''.'''''''''',,,,,,,''.....''''''''''''''''''',,,''''..',,,,,;,,''''...............''................'',,,'...'''''''''...',;,'''''''',',,,''','''''''''''''''''''''''''''''''''''''...''''''''''''''''''''''......'........'''''...........'','''''''''..................................''''''''''''''''''''',,,,,''',,,,,,,,,,''''''.....'''''''....''''''''''''''''''''.....................'''',,,,,,,,,,,,,,''''''''''',;:cccllllcccc:::;;:cclolc;,,''''',,,,,,,,,,,,,,,,,,,,,,,;::cllllllllc::;;;;:::;;;,,'''',,,,,,,,;:::::cccccllccccc:::ccc:::;;;;;;;;:;;;;;;;;;::::::;;;;;;;::::ccccccllccclccc:;;;;;;,,,,,'''''',,;;;,,''',,;;,;;;;::ccccccccc::cccccllllllccccllllllllllllllllllllllllllllllloooooloooooooddooddddddddddddd
''',,,,;;;;;;;;;,,,,,,,''''''''...''',,,,,,,,,,,''''''....'''''''',,,,,,,,''',,,,,,,,,,'''...........'',,,,,,''''''''''''''''''','''''',,'.'''..'...',;,'',,'''.'',,,'.'''.''...................',,,'''.''''.'.....''''''''''''''',,''''''''''''''',,'''''''''''''''''''''''...'''''''''''''''''''''''................''''''...''..........''''''..................................'''....'''''''''..'',,,,,,'''''''',,,,,''''''''''',,,'''''''''''',,,''''''''''''''''......................'''',,,,,,,'''''''''....''',;:ccllllcccccc:cclloolcc:;,''.',,,,,,,,,,,,,,,;;;,,,,,,;::cllllllllllc::;;::::;;,,'',,,,,,,,;;;;;::cccclllcccllcccccccc:::::;;;;;,,,,,;::c:::::::::;;;;;;;:ccccclllllllllcccc:;;,;;,,,,,,,,,,,,,,,'',,,,,,,;;;;;;::::cccc:::::cccllllcccllllllllllllllllllllllllllllllllllllloloooooooooooddddddddddddd
'''''''',,,,,;;;;;;;,,,,,,,,,,,,,''''',,,,,,,,,,,,,,''''''''''''''',,''''''''''',,,,,,,,,,,''''''''.....'.......'''''''''''''''',''',,,,,''',,'...''',,'.'',,,,',,;;;;,,''''''''.................''','''''''''......''''''''''''''''''''''''''''''',,''''''''''''''''''''''''''''''''''''''''''''''''.'...................''''''''........''...'''.................................'''......'''''......',,,,,,'''''''',,,,''''''''''''',,,,'''''''''',,,,,,,,'''''''''''.''..................'''',,;;,,,,,'''.............,;ccllllllcccccclllooollc::;,',,;;;,,,,,,,,;,,;;;;,,,,,;;;:cclllllllllllc:;;::::;,,,,,,,,,,,,,,,,;;:ccclllllllllcccclllllc:::::;;;;,,,;:c::::::;;::;;;:;;;;::cccllllllllllccc::::;;;::::;;:cc:;''',,,,,,',,,,,;;;;::cccc:::::::ccccccclllllllllllllllllllllllllllllllllllllolooooooooooooddddddddddddd
''''''''''',,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''.''''''',,,,,,,,,,,,,,,,,,,,,,,''''',,,,'.....''',,;;;,,'''''....'''...............'''''''''.'''''''''''...'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...............'''.....''....''''.........................................''''.......''',,,''''''''',,,'''''''''''''',,,,,,'''''''''',,'''''''''''....''....................',,,,;;,,,;,,,'''...........';clllllllcccccccllloollc:::;,,,,;,,,,,,,,,,,,,,,,,,,,,,,;;::ccllllllloolcc:;;;::;;;,,,,,,,,,,,,,,,;;:cclllllllc:ccclllllc::c::;::::;:::::;;;;;;;;;;;;;;;;:::ccllllllllc:cccccc:::::::;;:cclc:;,,,,',;;;;;;,,,;;::::cc:cccc::ccccccclllllllcclllllllllllllllllllllllloolloooooooooooooodddddddddddddo
,,,,,,,,,,,,,''',,,,;;;;;;;;;;;;;;,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,'''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''.....'''',,'''''''''....',''....''''''''..''''''''..''.....''''''''...'..'..'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....................''.....'''..........................''....'.........'''.......'''''''''''''',,,,'''''''''''''',,,,,,,,,,'''''''''''''''''''...........................',,,,;;;;,,,,,,,''''''......',:llllllllcccccclllllcc:::::;,,,,;;;,,,,,;;,,,,,,,,,,,;,,,;;::ccllllllllllc:;;;:::;;;,,,,,,,,,,,,,,;;;:clllllc:::::cccclcccccc::::::::::;;;;;;;;;;;;;::::::::cclllllcc:::::::::c::c:::;;;::::;,,,,,;cllc::;;;;:;:::c:cccccccccccccclllllllllllllllllollllllllllllllloollooooooooooooodddddddddddddd
,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''...''..'''''''''''',,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,'.....',,''''''''''''''''''''''''''.......'''''''''''''''''''''''''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''....................''..'''.'...........................'''''.''.......'''''.....''''''''''''',,,,,''.'''''...'',,,,,,,,,,,,''''''''''''''''''''........................',,,,,;:::;;,,,,,,,,,,,'''..'';clllllllllccccllccc::;,,,;::;,',;;;;;;,,,;;,,,,,,,,,,;,,,;;;;::cclllllllllc:;;;;;;:;;;,,,,,,,,',,,,,,;:clllllccc::ccccc:;:ccccccccc::::;;;;;;;;;;::cc:::;;;;::clllllccc:::;;;:;:cllc:;,,;;;;;;::::cclcccc::::;;;:::cccllllccllcccllcllllllllllllllllllllllllllllllllllooooooooooooodddddddddddddd
'',,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''.....''',,,,,''''',,,''',,,,,,,,,''''''''''''',,,,'''''''''''''''''''.'''''...'''''''''''....''''''''''''''''''''''''''''''',,,''''''''''''''''''''''''''''''''''''''''''''''''''''..''''''''''''.................''''','..''...........................'''...'.........'''''..'''''''''''''''',,,''.'''''....''',,,,,,,,,''''''''''''''''''''''''''''''...............'',,,;;;::::;;;;;;;;;;,,,''',;clllllllllllcccccccc:;,',,;::;,,,,,,;;;,,;;;;;,,,,,,,;;,,;;,,,;;;:ccccccclllc:;;;;;;;;;;;;;,,,''',,,,,,;:clloooollcccllcc:cccccclllcc:;;;::::::;;::ccccc:;;;;;;::cccccc::::::;;;:::cc:;;;::;;;;:::::cc:;;;;;;;::::::cccclllccllcclllllcclllllllllllllllllolllollllllllloooooooooooddddddddddddddd
'',,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,',,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''','',,,'''''',''''''''''''',,,'''''''...'''''''''''''...''','''''...'''...'''''''''''''..'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''............'''..'''.''''...........................'''''...............'''''''''''''''''',,,,'''''''.......''''',,,,'''''''''''''''''''''''''''''..................'',,,,;;;:::::c::::;;,,,,,,;:lllllooooolllcccccccc;,,,,;;:::;'',,,,,,,,;;;;;,,,,,,,,,,,,,,,,;;;;:ccccccllllc:;;;,;;;;;:;;,,''',;;;,,,;:cloooooololllcccccccccllllc:;;;;;:::::::::;::::::;;:::;;;:cc:::ccc:;;::::cccccc:;;;;;;;;;;::;,,;;,;;::::::ccccccccccllllllllccllllllllllllllllolooolllllllllloollooooooddddddddddddddd
'',,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,,,,'''''''''''',''''''''''''',,,'''''''''....'''''''''....'''...'''''''''''',,,'''''''''''.........''',,''....''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...''..'.......''''.......'''.................''''''''''.........'''''''',,,,,''',,,,,,'''''''''.........'''',,,,,,''''''''''''''''''''''''.....................''',,,,,,;::ccccc::;;;;;:clllllllllooooolllcccc:;;,,;;;;::;,'',,,,,,,,,,,,,,,,,,,,,,;,,,,,;;;;;::::ccclllllcc:;,,,,;;;;;,,,,;:;,,,,,;;:cloooooooollllllc::clllccc:;;;;;;:::::;;;;::c:;;::c::;;:::;::::::::c::::::::;;;::::::;;;;;;;;,,,,;;;;;;;:ccccccclllllcllllllllllllllolllllloolloolllllllllloooooooooddddddddddddddd
,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''..'''''''''''',,,,,,'''.......'''''''''''''''.......'''''''',,,,,''''''''.''....'''.'''''''''..'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.''.......'',''.......'''''........''....'''''''''''''''....'''...'',,;;,'''','''''''''''''......''.''',,'',,,,,,,'',''''''''''''......'''..............''''''''',,,;;;::::::cccclloollllcccclloooooollcc::;;;;;;;;;::,,,,,,;,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;;:::cccclllllc::;;,,;;;;,,,;;;,,,,,,,,;;:clloooooooooolc:::ccclllcc::;;;;;;::::;;::c::::cccc:::;;;:::::::;::::;;;;;;;;:::::::;;;;:;,,,,,,;;;;;:ccccccccccllllloollllllooolllloolooolllolllllllllooooooooddddddddddddddddd
;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''.............'''',,,,,,'''''''....''',,,,,,,,,,''''''.....'''''''''''''''''''''.'',,''.....'',,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...''''''''''''''''''''''''''''''''''''''''''''''''''''''.....''''',,''.........'''''.....''....'''''''''''''''''''''.....'',,,,''......','''''''''....'''''''''''''''''''',,,,,,'''''.......'''''''.........''''''..'''',,,;;;,,,,;:clllollcccllccclllooooollllcc:::;;;;;;;;;,,,,,;;;,,,,,,,;;,,,,,,,,,,,,,,,;:::;;;:::ccccllllllc;;,,,,,,,;,,,,,,;;,,,,,;:cllloooddddooc:::;::cllllllc::;,;;::cc:::::::ccllllccccccc:::::::::;;;;;;;:::::;;;;;;;;::;;;;,,;;;;;::ccc:::ccccclllllllllloollllllooooolloolooooooooooooddooddddddddddddddddd
,,,,,,,''''''''',,;;;;;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''....''''''..''''''''''''''''''.....'',,''''''''''''''....''''''''''''''''''''''',,'''...''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...'''''''''''''''''''''''''''.'''''''''''''''''...'',,'''''''''''''''''''''....''''''.'''''''...''''''...'''''''''''......',,;,,''....',,,,,,,,'''''''''',,,,''''''''''''''',,,,''''''''''''''''''''''''..'''.......'''',,,,,,,'',;::ccccc:cccccccccclloooooooolc:::;;;,;;;;;;;,,,,;;;,,,,,,;;;;,,,,,,,,,,,,,:ccc:;;;;;:ccccclllllc:;;;,,,,,,,,,,;;;;;;;:::ccclloddddddoool:;;;:::ccccc:;;;;;:::::;;::::ccccllccllcccccccccc::;;:::::::::;;;;;;;;::::;;;,,;;;,;;::::;;:cccclllllllllllllllllloollooooooooooooooddddddddddddddddddddddddd
''''''''''''...',,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,;;;,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,''',,,,,''''''''''''''...'''''','''',,'''''''..'''''''''''''''',,,'''''''''...''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..'''''''''''''..'''''''''''.....'''..'''''''''''''''..........'''''......',,,,,,,'''',,,,,,,,,,'''''''',,,,,,,,,''''''''''',,,,''''''''''''''''.'''...............''',,,,,,,,,,,,,,,,;,,,;;::::;;;;;;::ccloooolc::::;;,,,,;;;;;,,,;;;;,,,,,,;;;;,,,,,,,,,,,;:cc::::;;;;::ccclclllllccc:;;;,,,,,,,,,,;;::ccclllooooddoooddoc;;;;;;:::c::::;;;;;;:::::;;;::::::ccllllcccccccc:::::::ccc:::::;:::;;;;;;:::;;,,,,;;;;;;;;;;::cccllllllllollllllooolooooooooooooodddddddddddddddddddddddddd
''''''''.......'',,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,,;;,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,'''''''''''''''...''',,,,,,,,,,,,'''''''''''''''''',,,,''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.''''''''''''''''''''''''''''''''''''''''.''''''''''''''.........''''''''..'''....'........''''''...',,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,''''''''''''',,'''''''',,,,,,'''....................'''''',,,,''',,,,,'''',,,,''''''''',:cllllcc:::::;;,,,,,;;;;;;;;:::;,,,,;;;;;;,,,,;;;;::c:;;;:::;;,;;::cccccclllllllc::;;;,,,,,,,;;::cllllooooooooooolcc::::;;:ccclcc:::::;:cc:::;;;;;:::clllllcc::::::::::ccclcc:::::::::::;;;;:c:;,,,,,,,,;;;;;;;;::cccclllloooooooooooooooooooooooooddddddddddddddddxxxxxxxxxx
''''''''.......'',,,,''''''''''''',,,,,,,''''''',,,,,,,,;;;;;;;,,,,,,;;;;;;;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,'',,,,''''''''...'''''',,,,'',,,,,,,,'''''''''''',,,,,''',,,,,'',,'''''',,,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..'''''''''''''.....'''''''''''''''''''''''''''''''''''''''''''''''''''''..........''''''''''''..''...........'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,''''''''''''','''''',,,,,,,''''''''.....................'''''''',,,,'''','''...'''''',;ccllcc:;;:::;;,,,,,,;;;;;;:cc:;,,,;;;;;;;;,,,;:ccccc:;;;::;;;;;;;;:::::ccclllllllllcc:;;,,,,,,;;:ccllloooooooooooolllc:::::clcccc:::;;:ccccc:;;;::ccccclllllc::ccc:::cccccc:;;:::::c::;:;;;::;;;;,,,,,,,,;:cc:::c:::ccllloooooooooooloooooooddooodddddddddddddxxxxxxxxxxxxx
'''''.'''''.'''''',,,''''''.....'''''',,,,,,,,,'',,,,,,,,,;;;;,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,,,,''''''''''''''',,,,,,',,,,'''',,,,''''',,'',,'','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''.........'''''''''''''''................''',,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,'''''''''',,,,,','''''''''..................''''''',,''''''''''''''''''',:cllcc:;;;;;;;;,,,,,,;;;;;:cc::;;;;;;;;;;;;;,;clllccccccc:;;;;;;,,;;;;;:ccccllllllllllc::;;;,,,,;;::cllooooooooddooccccc:;;::cccc::;;::ccccc:;::::ccccccclllcccllcc:::cc:::::;::::c::;;;;;,;;;;;,,,;;;;,;;::;:::::::ccclllooooooooolllloooooooooddddddddddxxdxxxxxxxxxxxxx
''''''''''''''''',,,,,,'''''''..'......'',,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,''''',,,,,,,,,''',,,,,,,,'''''''',,,,,,,,''',,''''''',''',,,,,,,,'''',,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''..'''''''''''''''''''''''''''''''''''''''''''''.........''''''''''''''................'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,'''''''''''',,,,,''''''''''.................''''',,,,,,,'''''''''''''''',;cllcc:::;;;;;;;;;,,,,;;::::::::;;;;;;;;;;;;;;:clllllllllc:;;;;,,,,,;;;;:::ccllllllllllccc::;;;;;;;;:cclllooooodoolc:::;;;;;;::c::cc:::cccc::;;;::ccccccccllcclllcc:ccccccc::::::ccc:::::::::::;;,;;;;;;;;;;;;;:::ccccclllllllooooooooooooooooodddddddddddxxxxxxxxxxxxxxx
''''''''''''.....'',,,,,,,''''''''''...''''',,;;;;;;;;;;;;;;;;,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,''''''''''',,,'''''..''''',,''''',''''''',,'',,;,,,;,''''',,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''...'''''''''''''''''''''''''''''''''......'''''''..........'''''''''''''..............'''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,''''''''''''''''''''''',''''................''''',,,,,,,,,''''''''''''''',;:ccccccc:::::::::;;;,;;::::::::;;;;;;::;;;;;;::ccclllllllc::;;;;,,,;;;;;;:::cclllllllllccccc::;;;;:ccclllloooooooolc::;;;,,,;::ccccccc:::::;;;::ccccc:;:cccccccccccccccc:;::::::cc::ccccccccc:;;:cc:;:::::::;;:::ccccclllllllllloooooooooooooddddddddddddxxxdddddxddxxx
'''''...............'',,,,,,,,''''''''''''''',,,,,,,;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,'',,,,,'',,,,,,,,,,'''''''''''''''''''',,,,,,;::;,,,''''',,,,,,,,,,,,,'',,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,'''''''''''''..........''''''.........''''''''''''''............''....''',,,,,,,,,,,,,,''''''',,,,,,,''''',,,,,,,,,,,'''''''''''''''''''''''',,''''''''.........'''',,,,,,,,,,,,,''''''''''''',,;:cccccccccc::;;;;;;;:;;::::::::;;;;::::::;;::::::cllllllllc:;;;;,,,,,,,;;;;::ccclllllllccccccc::::ccclllllllooooooollc:;;,;;:ccc::ccc::::cccccc::cc:;;;;::ccclllllllccc:;::::c:cc:;:::::::cc::::::;;;::ccccc::::ccccccccllllllclloooooooooooddddddddddddxxxxddddxxxxxx
.....................'',,,,,,,,,,'''''''''''''''''''',,,,,;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,;,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,'',,,,,,,,,,,,,,,'''''',,'''',,,,''''''''''''''','''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,''''',,'...'''''.........'''''''''......'''''''''''''''''.''.....''.....'',,,,,,,,,',,,,,,,''''',,,,,,,,,'''',,,,,,,,''''''''',,,,,,,''''''''',,,,'''''''''''''...'',,,,,,,,,,,,,,,,,,,''''''',,,;::ccc::::::;;,,,,,;:::;:::::::::;;;:::cc::;;;::::cllllllllc:;;;,,,,,,,,;;::::::cccllllccccccccccllllllllllllloooooooooolcc:::cc::cc:::::::ccccc::c:::;;,;;:ccccclllc:cc:;;::::::::;;;;;;::::::::::;;;;:cc:cllcc::cc::ccccllllccllloooooooooooodddddddddxxxxdddddxxxxx
......................''',,,,,,,,,,'''''''...........'''',,,,,,,,,,,,;;;;;;;;,,,;;;;;,,,,,,,,,,,,',,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,'''''..''',''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''',,,,''''''''''''''''''''''''''''''''''''',''',,,''''''''''''''''''''''.......''''''''......''''''''''''''''''''..'''.....''',,,,,,,,,,,,,,,,,''''',,,,,,,,'''''',,,,,''''.''',,,,,,,,,,''''''''',,,,,''''''''''''..'',,,,,,,,,,''''''',,,,'''''',,,;:::::;;;;,,,,,,,,;;;::ccc:::::;;;;;::::::;;;::cccclllllllcc:;,;;;,,,,;;;::;;;;:cccccccccccccccllooooooolllooooooooooddoolc::ccccccccc::::cccccccc:::;,,;:::::ccllccccc:::::::::::;::::::::;;;::::;:;;:::::cc::::c::cccllllllllllllooooooollloooddddddxxxxdddddxxxdd
''''.....................'',,,,,,,,,,'''''''..'''''''''''''''',,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,',,,'''''',,'''''''''',,,,,'''',,''',,;;;,,'''''''''....''''''',,'',''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,''''''.'''''''''''''''''''''''''.''''''''.....'''''''','''''''''''''''''.'''',,,,,,,,,,,,',,,,,'''',,,,,,,,,,,'''',,,,,,,''''',,,,,,,,,,,,,,,''''',,,,,''''''''''''''',,,,,,,,,,''''''''',,,'''''''',;;::::;;;,,,,,,;,,,;::ccccccc:;;;;;;;;;;;;::::ccccccllcllllc::;;,,;,,;,,;;::;;;;::::ccccccccccccllooooooooooooooooooooddoolc::cllcllcccllcc::::::cc:::;::::::cccclllllcc::;;;;;;::::::::::;,,;:::::::;;::::;:::;:::::::ccclllllllllooooooolllloooooodxxddddddddxddd
,,''''''''''''''...''''''''',,,,,,,,,,,,,,,,,'''''','''''''''''''',,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,'''',,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,',,,,,,,,,,,,,,,,,,''''''''',,'''''''''''',,,,'',,,,,'',;;;;,,,,,,''''....'''''''''''''''''''''''''',,'''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,'''''''''''''''''''',,''''''''''''''''''...''''''''''..'''''''''''.....'''','',''''''''''''',,''',,,,,,,,,,,,,,''''''''',,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,'''''''''''''',,,,'''''''''''''''''',,,'''''',,,;::::;;;,,,,,;;;;;:ccccccccc:;;;;;;;;;;;;;;:cclllcccccccllcc:;;;;;,,,,;:::;;;;;;;;::cccccccclllooooooooooooooooooooooooool::ccccccclllccc:;;;::ccc::::::cccllcllllllc:::;;;::::c:::::;:::;;:ccc::::;;;::;;:::::cc:;;;::c:ccccllllooooooolllllllooddddddddddddddd
,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,;;;;;;;;,,,,'''''''''''''....''''''''',,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,'''''',,'''''''''''',,,,,,',,,,,,,,,;;;;,,'''''''''''''''''''''''''''''',,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''''''''',,,,''''''''''''''''''''',,'''''''''''''''''''''.......''''''''''''''''......''''''''''''''''''',,,,,,,,,,,,,,,,,,,'''''',''',,,,,,,,,,''''',,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,''''''''''''''''''','''''....'',,,'',,'',,,'''',,''',,;;:::;;,,,;;::::cccllccccc::;;;;;;;;;;;;;:clllllcc:cccccccc::::;;,,,,;;;,,,,,;;;;;;;:::cccllllllllllooooooooooooooooooollllcccccclccllc:;;;::::::cc:ccccllllllcccccc::cccccccccc::;::::cccllcc::;;;;::::::::ccc::;;;::::::cllllooooooooollllloddddooooddddddd
;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,,,,,,,,,,,,,;;;;;;,,,,,,'''''''...........''''''''''''''''''''',,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,',,,,'''''''....''',,,,,',,,',,,,,,,,;;,'''''''''''''....''''''''''''',,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''''''''',,'''''''''''''''''''''''''''''',,'',,,''..''''''''',''........''''''''''''''''''....''''''''''''''''',,,,,''',,,,,,,,,,,,'''''',,'',,,,,,,,,,,''''',,,,;;;,,,,''''''',,,,,,,,,,,,,,'''...'''''''...'''''''''.....'',,,,,'''''',,,,,,,,''',,;;::::;;;:::::cllllcccc:;;::::;;;;;;;;;:cllllllcccccc:cccccc:;;;,,,,,'''',,,,;;;,;;;;::ccllllllllloooooooooooooooollooooooollllccccccc::::::::::cc::ccccllllccccccccllllllccc::;::::cc:cccccc::::::c:;;;:cllcc:;;:::;;;;:cllloooooooooollloooooooooodddddd
;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,;;;;,,,,;;;;;;;,,,,,,,,,'''''.'''.....'''''.........'''''',,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,''''''',,,,''''''''''''''''',,'''''''',,,,,,,,''''''''''''''''''''''''''',,,,,,,'''''''''''''''''''''''''''''''''''''''''''','''''''',,,''''''''''''''''''''''',,,'''',,,',,,'''''''''''''''''......'''''''''''''''',,''.....''''''''''''''''',,,,,'',,,,,;;;,,,'''''',,,,,,',,,,,,,,'''''''',,,,,,,,,''''''',,,,,,,,,,,,,,''....'''''.....'''''''''.....''',,''''''',,,,,,,,,,'',,,;:c:::;;::::cllcccccc:::c:::::;;;;;::clllllllllccc:;;::cc::;;;,,,,,,'''',,,,;,;;;;;;;::cccllllllllllllllloooooollllooooooooolc:;;;:::::ccc::ccc::ccc:cccccc::cclllllllollccc::;;::::::::cccc:::ccc:;;::cc:cc:::::;;;,,;:cclllllloollllllloooooodddddddd
,,,,,,,,,,,,,,,,,,,,,;,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,,'''''''''''''''''...........'''',,'''''''',,,,'',,,,,,,,,,,,,,,,,,,,,,'''''''','''',,,,,,,,'',,,,,''''''.''',,,,,,,,'''''''''',,,,,'''''''''''',,,,,,'''''''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,'''''''''''''''''''',,,,''',,''''''''''''''''''''''''''''''''''''''''''''''''''..''''''''''''....''',,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,'''.'..'''',,,,,,'''''',,,,,,,,,,,,,,,,''''''',,'''''''''''',,''....''''''''''''',,,,,,,,,,,,,,;:c:::;;;::ccccccc::cccc:::::::::::cccllllllllccc::;,,;;;;;;;,,,,,,,,''',,,,,;;;;;;;;;;::cccccllllllllllllloooollllllllloollc::;;;,,,;;::::::::;:::::::::;;;cccllllllllllcccccc:::::::::::::::::::::cccccccc::::;:::;;;::ccccclloolllllllllllooooooooo
;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,''''''',,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''........''','''''''',,,',,,,''''''',,,,,,,,,,,,,,,,''',,'',,,,,,,,,,,,,,,,,,,,,,'''''''''''',,,'''''''',,,,,''''''''''''''''''''''''''''''''''''''..'''''.'',,''''''''''''''''',,,,,,,,,,,'''''''''''''''''''',,,,'',,,'''''''''''''''''''''..'''''''''''''..''''...''''''''''.....''''.....'',,,,,,,,,,,,,,,,,,,,'''''',,;,,,,,,,,,,''''''''''''',,,,,,,'''',,,,,,,,,,,,,,,,'''',,,,,,,,,,,,''',,''''.''',,,,,,,,''''',,,,,,,,,,,,;::c::;;;;::cc::;,,,;::;;;;::::::ccllllllllllccc:;;,,,,,,,;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;::cccclllllllllllllllooollc:;:cclllcc:::;,,;;;;;;;;::;;;;;::::::::cccclllllllllcccccclllccc::ccc:::cc::::clllcclcc:::;;;:::;;;::c:::cclooolllllllllllloooooo
;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''.....'''''',,,,,,,,,,'',,,,,,''''''',,,,,,,,,',,,''''',,,,,,,,,,,,,,,,,,''''''',,,,,,,''''''','''''''',,,,,,,''''''''''''''''''''''''''''''''''''''''''''.'''''''''''''''',,,,,,,,,,,,,,,,,''''''''''''''''''''''',,,,,''''''''''''''''''''''''''''''''''''.''''.......'''''''.......'''....'',,,,,,,,''',,,,,,,,,,''''',,,;,,,,,,,,,,,,,,,'''''''',,,,,,'''''',,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,'''',,,,,,,,,''''''',,,,,,,,,,;::c:::;;,,;::,,'''',;;;;;::::::clloolllccccc::;;,,,''',,,,;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;:::cccccllllllllllooollccclc:lodooolccccc:,,,,,;:::;::cccc:::cccccccclllllccclccccclllccccccccccccc:::cccccclcccc:;;;;;;;;:cc:cccccclllllllllllllloooooo
,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,''''''''''''',,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''...'''''''''',,,,,,,,,,,,,,,,''''''''',,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,'''''''',,'''''''''''''''''''',,,,,,''''''''''''',,,,'''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,'''',,,,''''''''''''''''''',,,,,''''''''''''''''''''''''''''''',,'''''''''.......''''''........''''''',,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,'',,,,,,,,,,,,'''',,,,,,,''''',,,,,,,,,,,,,,''.''''',,''''',,,,,,,,,,,,,,,,,'',,,''''...',,,,,,,,;;;;:::;;,,';;;,'''',,;;;;:::;;;;:clllolc:;;;;;;;;,,'''''',,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;::::ccllllllooolllllolc::cloooolloolc:;;;,;;::;::::cc:::ccccc:::cclllccllccccccllllcccccccclllcc::ccccccllllcc:::;;;::::::::::ccccccccccccllllllloo
,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;,,,,,,,,,,,,,'''''''''''''',,'''',,,,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,'''''''''',,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,'''''',,,'''''''''','''''''''',,,,,'',,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,'''',,,,,,'''','''''''''...'''',,,''''''''''''''''''',,,'''''''',,'''''''''''......''''''''.......''''''',,,,,,,,,,,',,,;;,,,,,,;;;;;;;,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,''''''''',,''''''',,,;,,,,,,,,,,,,,,,,''...''',,,,,,;,,,;;;;;;,',;;;,''',,;;;;;;,,,',,,;:cllc:;;;;;;;;,,,'''''',,,,,;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;:::ccllloolooollcc::clcc::cllllc::::;;:::::::;::cclllcc::::cccccccccclcccclllllccclllllcllccclllccccccccc::::::;;;;;;;:cc::ccc:cc:ccccccccccl
,,;,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;,;,,,,''''''''''''''''''...'''''',,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,''''''...'..''',,,,,,,,,,,,,,,,'''....'',,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,'''''',,,',,,,,'''''''',,,,,,,,,,,,,,,,,,,''''...''''''''''''''''''''''''''''''''''''',,,,,,,,,,;,,,,,''''''''''',,,,,,,,,''''''''''''''''''''''''''''''',,,,'''''''''''''''..'''''''''''''''''''''....'','''',;;,,,,,,,,,,,,;;;;,;;;;;;,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,''''''',,,,,''..'',,,,,,,,,,,,,,,,,,,''....'',,,;;;,,,,,,;;;,,,,;::;''',;;;;;,,,'''',;:::cccc::;;;;;,,,,''''',,,,,,;;;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;::ccllloooolllllllc:::ccllllllc::::cc:::::clodddoolcccccc:::;:cllcccccccllccllllcccclllllllllcc::::::cc::;::;;::::::::cccccc:ccccccccccc
;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,,,,,,''''''''''''......''''''',,,,,,,,'''''',,,,'',,,,,,,,,,,,,,,,,,'''''''''''',,,,,,,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,,',,'''''',,,,,,,,,,'''.''''''',,,,,,'''''''''''',,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''',,,,,''',,,,,,,,''''''''''',,'',,;;;,,,,''''''''''''''''''''''''''',,,''''''''''''',''''..''''''''''''''''''''....'''''''',,,,,,,,,,,,,,,;,,;;;;;;,,,',,,,,,,,,,'''',,,,,,,,,,,,,,,,;;;,,,,''',,,,,,,,,,,,,,,'''''',,,,''''...'',,,,,,,,,,,,,,,,''''''..',,,,,,,,,,,,;;;,,,,::;,'',,;;;;,,,,'',;:::ccccccccc::;;;,,,'''',,,,,;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,;:cclllllllllllllllllcclooollcccllccclllooddddddoooolcc::::cccc::c:cclllllllccccccllcccccclccccccccc:::::;;::;;;;;:ccccccccclcccccccc
,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,'',,,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,''''''''''''''''''..'''''',,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,''''''''',,,,,,,,,,,'''''''',,'''',,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,''''''''''''''',,,'''''''''''''''''',,,,,,'''''','''''''''''',,'''''''''''''''''''''''''','''''''',,,,,,'''''''''''''''',,,,,,,,,,,''''''''''''''''''''''',,,,,'''''''''',,,,,,''''''''''''''''''''''''.....''''''''',,'',,,,,,,,,,,;;;;;;,,''',,,,,,,,,,''''''',,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,''''''''',,,''...''',,;;;;,,,,,,,,''''''''''''',,,,,,,,,,,;,,,;;;;;;;;;;;;;;,,,,;;;::ccccccclllccc::;;,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,,;;;;::ccccccc::ccclllllooooooolllllloooooddddddooddoolccccc:ccccccccclllllllccllllollcccclllc::ccccc:::cc:::;;;::::::ccccccccccccccc
,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;,,;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,''''''''''''''''''''''',,,,,,,,''',,,,''''',,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,'',,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,'''''''',,,,,,,'''',,'''''',''',,;,,'''''''''''''''''''''''''''''''''''',,,,'''''''''''''''''',,,,',,,,,'''''''''''''''''',,,,,,,,,',,,''''',,,,,,,,,''''''''''''''''''''''''...''..''',,,''',;,,,,;;,,,,,,,,;;,,,,,,,,,,,,,,,'''''',,,,,,,,,;;;,,,,;,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,'''''''',,;,,,,,,,,,'''',,,'''''''',,,,,,'',,,,,;;;::::::::::;;;:::::::ccccccccclllllllc::;;,,,',,,,,,,,;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,;;;;::cccc::;;;;:cllloodoooooooooollooooooooooodoooolllcccccc::cccclllllccllllollllllcclcc:ccccc::::ccc::::cc::::cc::cc:cccccccc
,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,'''''''''''''.''''''',,''''''''',,,'''''''''''''',,,,,,,,,',,,,,,,,,,,,,,,,,,,,,'',,''''''''''''',,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,''''''',,,,,'''',,,,,'''''''''''''''''''',,''''''''''''',,',,'''''''''''''''''',,,,',,,''''''''''''''''''',,,,,,,,,,,,,,,'''',,,,,,,,,,,,,',,''''''''....'''''''''...''''''''',,'',,,,,,,,,,,,,;;,,,,,,,,,,,,,,,'''''',,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,''''''''',,,,,,,,,,,''',,,,,,,'''',,,,,,''',,,;;;;;;;::ccccc:::cccc::::cccccccccclloooollc:;,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,;;;;::cccc::;;;;:ccllooooooddoolllllllllllooooooooooollcccc::ccccccccccclllllolllllllcccllccccccccccccccc::::cc:::ccc:ccccccc
,,,,;;;,;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,'''''''''''''''''''''',,,,,,,''''',,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,''''',,,,,,,''''''''.'''''',,,''''''''''''''''''''''',''''''''''''''''''''''''''''''',,,,'''''''''''''',,,,,,'',,'''''''''''',,,,''''',,,,,,,,,,,,,''''''',,,,,,,,,,,,',,,',,,,'''''......'','''.......'''''''''',,,'',,,,,,,,;,,,,,,,,,,,,''',,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''.''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,'''',,;;;;;,;;::ccccccccccc::ccccclccccccllloooolc:;;;,,,,,,,,,,;,,,,;;,,,,,,,,,,,,;;;;;;::;;;;;;;;,;;,;;;;;;;:ccclcccc::::::::ccllloollooooooolllllooooddddoooolllcccccccccccccllllloooloooollooolllllllccccccc:::::::::cclc::::::cl
,;;;;;;;;;,,,,''''''''''''',,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,'''''''''''''''''''''',,,,,,,,,,,,,'''''''''''.''''''''',,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,'''''''''..'''',,,,,''''''''''''''',,,,,,'''''''''''''''''',,,,,''''''''''''''''''''''''''''',,,,'''''''''''',,,,,,,',,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,'',,,,,,,,',,'''.....''',,''......''''''''''',''''',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,',,;;;;;,,,,,,,,,,,,,;;;,,,,,,,,,,,,'''''''''''''..''''',,,,,,,,,,,,,,,,,,,,,',,,;,,,''',,,,,;;,;;;;:cccccccccccccllllllllllllllooooollc::;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;::cccllllllllllllcc:;;;;;:ccclllllllllllllloooodddoooollllllllccccccccllllllllloooooooolllccllllllccccc:::::;;:cllc:::::cc
,,,,,;;;;;;;,,,,,,,,,''''''''''',,,,,,,,,,,,,''''''''''',,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,;;,,,,,,,,,,,,,,,,,,,'',,''''''''''''',,,,,,,,,,,,,,,,''''''''''''...''''''''',,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''.'.''',,,,,,,,,,,,,,'''''',,',,,''',,''''''''''''',,,,,''''''',,,,,''''...'''''''',,,,,,,'''''''''',,,,,,,,,,,','''''''',,,,,,,,,,,',,,'',,,,,,,,'''''',,,,,,,,,''''',,,,,,,''',,,'''''...'''''''.....''''''''''''''..''',,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,;;;;;;;,,,,,,,,,,;,,,,,,,,,,,,,,''''',,'''''''''''',,,,,,,,,,,,,,,,,,,,,'',,,;,,,''',,,,,,,,,,,;;:ccccccc:cccllllllooooooooooooooollccc::;;;;;;;;;;;;,,,,,'''',,,,,,;;;;;;;;;;;;;;:::::::ccclllllllllllllllllc:;,,,,;;::ccclloolllllllloooooooolcccclllllllllllccllloooooooooooollccllllllllllllccc:::::::::cclllc
;;;,,;;;;,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,''''''''',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,'''''''''''',,,,,,,,,;;;,,,,,,,,,,,''''''..''.....''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,'',,,,,,,,,,'''''''''''''''','''''''''''''''',,''''''',,,,,,,,'''''''''''',,,,,''''''''',,,,,,,,,'',,,'''''''''',,,,,,,,,,,,,,,'''',,,,,,,,'''''',,,,,,''',,,,,,,,,,,'',,,,,,,'''....''''''......''''''...'''..'''',,,,,,,,,,,,,;;,,,,,,,,,,,,,',,,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,''',,;;,,''''',,,,,,,,,;:ccccccc:::::cllooooooooooooolllllllllcc:;;;;;;;;;;;,,,,,,,,,,,,'',,,,,,,;;;;;;::cccccclllllllooolllllllllllllc:;,'',;;;::ccllllllllcccllllllllc::cccllllclllccllllooooolloooooolllllllllllllllllccccccccccccllc
;;;;;;;;,,,,,,''',,,,,,,,,,,,,,,,,,,''',,,,,,,,;;;;;;;;;;,,,,,,,,''',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;,,,,,,,,,,,,''',,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,''''''''''''''''''''''''''''''''','''''''''''''''''''''''''''''',,,,,,,''''''',,,,,'''''''''''',,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,''',,,,'''''','',,,,,,,,,,,,,,,,,,''''..'',,''''........'''.''''''''''',,,,,'',,,,;;;,,,,,,,,,,,,,,,,,;;,,;,,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,'''',,;;,,,',,,'',,,,,,,;:ccccccc::::cllllllllllllllcc::;;:cllllcc::;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;::cccccclllllllllllllllllloolllllcc:;;,,,,;;::::cclllcc::::ccccc:::c:clcc:ccccccllllllllllllooooooooooollllloooollllccccccllcccc
,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,''''''''''''''''''''''''''''''''''''''''''''''''',,''''',,,''''',,,,,,,,,,'''',,,,,,,,'''''''',,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,'',,,,'''',,,,,,,,,,,,'''''',,,''''.........'''''''''''''',,,,,,,',,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,''''',,,;;;,,,,,,'',,,,,;:::ccc:::::ccllllllllllllc:;,''.'';:cllllllcc::;;;;;;;,,,,,,,,,,,,,,,,,,;;;:::::::;;:::cccccllllllllllllloooooollllc:::::;;;;::cccllcccccccccc:::::::::ccccccccccccccllllloooooooollooooooddoolllllllllcccccc
,,,,,;;;;;;;;;;;;;,,,,,;;;;;;,,,,,,,,''''''',,,,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',''''',,,,''''''''.'''''...'''''''''''''...'''''',,,''''''',,,'''',,,,,,'''',,,,,,,,''''''''',,,''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,''''''',,,,,,,,,,,,,,''''',,''''.''....'''''''''''''''',,,,,',,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,'''''',,;;;;,,,,,,,,,,',;:::;;;;::clllllllllllllc:,'''....',:clllllllllc::;;;;,,,,,,,,,,,,;;,,;;::::::::::;;;;;;;;:::::cccllllllllllooollllllllc:;,,,;;;:ccccclcccccc::::::;;;::cccc::::::ccllcccccllooollooooooooooooolooooollccccc
;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,,,'''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;,;;,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,'''''''''''''''''''........'''''.....'',,,,,,,,'',,,''''''',,,,''',,,,,,,''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''',,,,,'''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,,,,'',,,,,;,,,,,,,;;;;;;;,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,;;;;;,,,,,,,,,,,,''',;:cllloooolllcc:;,,''.......';:clllllllllc:;;;;;;;;,,,,,;::;;::::::::::c:::::;;;;;,;;;;;::cccccccclllooolllllccc::;;,;,;;;::cccccc::::::::;;;;;::::;;::;:::cccc:;:cclllllllllolllooooooooooolllllll
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,''''',,,'''''''''........''''''''''',,,,,,'''''''''''''',,,,,,,,,,,,,'',,''''''''''',,''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''..'''''''''''',;;;,''''',,,,,,,,'''',,,,,,,,,,,,,,,;;;;;,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,;;;;;;;;,,,,,,,''''..';cllloooollc:;,,,,,,''......',;:cllllllllc:;;;;;;;;;::::::::::::::;;;::::::::::;;;,;;,,,;;;;;;;;::clllllllllcccc:;;,,,,,,,;;;:ccc:::cc::::::;;;;;;;,;;;;;::::;;;:cccllllllllllllooooooooooooooooo
;;;;;;;::;;;;;;;;;:::::;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,'',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,''''''.....''.''''''''''''''''''''',,,,'''''''''''''',,,,,,,,,,,,,,,',,,,,'''''''''''''''''''',,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''...''''',,'''',,,,'''''',,,;,,,,,'''',,,,,,,,'',,,,,;;;;;;;;,,,,,,,;;;;;,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,;;;;;;;;;;,,,,,,,''..',:clllllllc:;;,,;;;,,,'.......',;:cclllollcc:;;;;;::::::;;:::c::::::;;;;;;:::ccc::;,,,,,,,,,;;;;,;:ccllcccccccccc::;;;,,,,,,;;;::cclcccccccccc::;;,,;;;;;;;:;;;:cc:cccllolllllloooooooooooddoooo
;;;;;;;;;;;;::::::::::;;;::::;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,'',,,,,,,,,,,,,,,,,,,,,,''''....'',,,,,,,,,,,,,,,,,,,'''''.'''''''''''''''''''''''''''''',,'''''''''''''''',,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,','',,,,,,,,''',,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,''''''''''...'''''''''''''''..''''''''''''''',,,,'''''''''''''',,,,,,,,,'''''',,,,,,,''',,,,,,;;;;;;,,,,,,,,,;;,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,''''',,;;,,,,,;;,,,,,,,,''''';:ccccccc::;;;;;;;;;,,'''.....',;:clllllollc:;::::::;;;;;:::::;;:::::;;;;;;;:::c::;;;;;;;;;::;;,;;:cccccc::::cccccc:::;;,,,,,,;;:cllccc:cccccc::;;;;;;;;;;;;,;:c::::cllllcllllllloooooooodddoo
;;;;;;;;;;;;;;;::;:::;;;;::::;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,''''''',,,,,''''',,,,,,,,,,,,,,,,'''''''........''',,,,,,,,,,,,,,,,,,'''''''''''',,''''''....'''''.'',,,,,'',,,,,''''''','',,,,,,,,',,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''......................'''''''''''',,''''''''''''''''',,,,,,,,'''''''''',,,,,''''',,,,;;;;;;,,,,,,;;;;;,,,;,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',;:::::::::;;;;::::;;,,,''....'',;cllllloollc::::::::;;;:c:;;;;;;;;;;;;;,,;;;;;::::::::::::::;;;;;:::cccccc::::::ccccc::;;;,,,,,;ccccc:::cccc::::::;;;,,;;:;;;:::;;::cccccccclllllooooooooodd
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,'',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''.........',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''...''''',,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,'''''''''''',,,,,,,,,,',,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''.................''..'''''''''''''''...'''''''''''''',,,,,,,,,''''''',,;,,,'''''',,,;;;;;;,,,,,;;;;;;,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,,,;;,,,,,;;;;,,,,,,,,,,,,,;;,,,,,,,;;;;;;,,',,,;;;;;;:::;;::cc:::;;;,,''''''';:cllooooollcc:::::::::c::;,,;;,,,;;;;,,,,,,,,;;;;:::cccccc:::;;;;;::ccccc:;;;;;::::ccccc:;;;,,;;::::::cccc:::c::::;;;;;;::;;;;,,,,,;::::::::cllloooooooood
:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;,,,,,,''''''''''''''.........'''''''',,,,,,,,,,,'',,,,,,,,,,,,,,,''''''''''',,,'''',,,,,,,,,'''''''''''',,,,,,,,,,,,,,,,,,,,'''''''''''',,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''...''''..............''''''''''''....''''''''''',,,,,,,,,,'''''''',,,,,,,,''''',,;;;;;;;;;,,;,;;,,,,,,,,;;;;,,''',,,,,,,,,,;;,,,,,,,,;;;,,''',,,,,,,,,,,,,,,;;;;;;,,,,,,,,;;;,,,,,,;,,,,;;::::::cc:::::;;;,,'''',,:clloooooooolc:cccccccc:;;;;,,,,;;;;;,,,,,,,,,,,,;;::cccccc::::::;;:cccc::;;;;;;;;;:::cc:::;;;;;;;;;;;:ccc:cccc::::;;;;;;;;;;;,,,',,,;;:::;;:cclllllooooo
;;;;:::;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;,,,,,,,,,,;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''..............'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''',,'''....''''',,,,''',,,,,,''''''',,,''''',,,,,,,''',,,,'''',,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''','''''''''''''.........''''''''''''.....'''''''''''',,,,,,,,'''''''',,,,;;,,,,'',,,,,,;;;;;;;;;;;;;;,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,''''',,,,;;;;;,,,,;;,,,;,,,,;;,,,,;;;;,,;;,,,,,;:cccccc::ccccc:::;;,,,;;;:clloodddooolccccllcc::;;;;;;,,,,,;;;;;;,,,,,,,,,;;;;;:::cccccc::::ccccc::;;;;;;;;;::::cc::;;,,,,;,,;;;:;:cccc:::::;;;;;;,,;,,,,,,,,,,;;;;::::ccllllooo
;;;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;,,,,'',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;,,,,,,,,;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,;,,;,,,,,,,,,,,;;;;;;;,,,,,,'''''............',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''........'',,,,,,,,,,,,,''...''','''''',,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''.....'''''''''''',,,,,,,,,''''',,,,,,,;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,;;;,,,,,,,,,,,'''',,,,,,,,,;;,,,''',,,,,;;;;;,;;;;;,,,,,,,,,,,,,,,;;;;;;;,,,,:ccllcccccccccc:::;;;;;,,;:cclooooooooolccclllc:;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,;;::cccccccclllllcc::;;;;;;;;;;;;:::::;;,,,,,,;;;;;:ccc:::;;;;;;;,,,,,,,,,,,,,,,,,;:::::cccclll
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;,,,;;;;;,,,,,,,'''''......'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''......''''''''',,,,,,'''''''''''',,,,,,,,,,,'''',,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''',,'''''''''''''....'''''''''','',,,,,,,,,,,,'''''',,,,,;;;;;,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,;;;,,,'',,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,;;;;,;;;,,,,,,,,,,,,,,,,,,,,;;;;;:ccllllllllccccc::;,;;;,,,;::cllooooooollllcclllc:;;;;;;;;;;;;;;;;;,,,,,,''''',,,,,,;;;;::cclllllllllcc::;;;;;;;;;;;;::::::;;,,,;;,;;:::ccc::;;;;;;,,','',,,,,,,,,,,;::ccc::::cl
;;;;;;;;;;;;;;;,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;,,;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''''',,,,,,,''''',,,,,,,,,'',,,,'''',,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,;;;,,,,,,,,,''',',,,,,,,,,'''''''''',,''''''''''',,,,''''''''''''''''',,'''''',,,,,,,,,,,,''''',,,,,;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,;;;;,,,,,,,,,,,,,',,,,,,,,,,,,,,,,',,,,,,,,;;,,,,;;,,,,,,',,,,,,,,,,,,,,,;::ccclllllllllccc:;;,,;;;,,;;:clllooooollccllcccc::;;;;;;;;;;;;;;;;;;,,,,,,''''',,,,,,,,,;;;;:cloooooolllc:::;;;;;;;;;;;;:::::;;;;;;;;;;:::::::;;;;;;,,,,,',,;;,,,,',;;:::::;;::
;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,',,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,,;;;;;;;,,,,'',,,,,;;;;;,,,,;;,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'''''''',,,,,,,''',,,,,,'''''',,,,'',,,,,,,,,''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,;,,,,,'',,,,,,'''''''''''''''''''''''''''',,,,,,''''''','''''',,'''..''',,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;::::cccllllllccc::;;;;;;;;:ccllllooollc::::cc:::;;;;;;;;;;;;;;;;;;;;;,,,,,,''',,,,,'',,,,,;;ccllooooooolllcccc:::::::;;;;::::c::;;;;;::;;;:::;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;:
;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,''''''',,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''',,,,''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,''','''''''''''''....'''''''''',,,,,,,,,,,,'''''''',,'''....'',,,,,,,,,,,''''',,,,;;;;,,,,,,,,,;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;,,,,;;;;;;,,,,,,,;;,,,,,,,,,,,,,,,,,,;;;;;;;;::cllloolllcc::;;;;;::ccclllloollc;,,,;;;;;;::cccc:::;;;;;;;;;;;;,,,,,,,,,,,,,,',,,,,;;:ccllllooooooooooolllllcc:::;;;::ccccc::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:;;;;;,;;
;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''....''',,,,'''''','',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,''''''''..''....''''.....''''''''',,,,,'''''''',,,''.....''',,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,;;;;,,,,;;;;;;;;;;;;,,;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;,,;,;;;;;,,,,,,,,;;;,,,,,,,,,,,,,,,,,,;,,,;;:::ccllooolc:;;;;;;;;;;::::ccllcc:;,,,,,,,,;;:clllcc::::;;;;;;;;;;,,,,,,,'',,,,,,,,,,;::cclllooooooooooooooooolllcc:::::ccccccc::::::::;;;;;;;;;;;;;;;;;;;;;;:;;;,,,,
;;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;,,,,,,,,,,,''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;,;;;;,,,,,,,,,,,;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,'''''''...'''',,'''''''',,,,,,''''''',,,,,,,,,',,,,,,,,,,,,,,,,,;,,,,,,,''''',,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,''''''''...'''..''''''''''''''''''''''''''''''',,,'''''''''''',,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,;;;,,,,,,;;;;,,,,,,,,;;;;;;;;;,,;;;;;;,,,,,,,,,,,,;;;;;,,,,;;;;;;,,,,,,;;;,,,,,,,,,,,,,',,,,,;,,,,,,;;:clloolc;;,,,,,,;;;;;;;;::ccc:::;,,,,,,,,;::clllllc::::;;;;;;;;;,,,,,,,,,,,,,,,,,;;:cclllooooooooooooooooooollllccc:::::c::::::::::;;;;;:;;;:::;;;;;;;;;;:;;,,,
;;;;;;;:::::;;;;:::::;;:::::::::;;;;;;;;;;,,,,,,,,,'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'''',,,,,,,,,;;;;;;;,,,,,,,;;,,,;;;;;;;;,,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'''''''''''''''',,,,,,,,,''''',,,,,,,,',,,,,,,,,,,,,,;;;;,,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''',,''''''''''''''''''''',,'',,,,,,,,,,,,,,,,;,,,,,,,,,,,,,;;,,,,,,;;;;;;;,,,,,;;;;;;;;;;,;;;;;;;;,,,,,,,,,,,,,;;;,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,'''',,,,,,''''',,;:clolc:;,,,,,,,;;;;;;;;;:::ccc::::;;,,,,,;:clloolllcc:::;;;;;;;;;;;;,,,,,,,,;,,,;;;:cccllooooooooooooooolllllllllcc:::;;;;;;::cc:::::;;;;;:::;;;;;;;;;;::;;;
;;;;;;;;;:;;;;;::;::::::;::::::::::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::::::;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;,,,;,,,,;;;;;;;;;;;;;;;;;;,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,',,,,;;;;;,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,'''''''''''''''''''''''''''.''',,'''''''''''''''''''''''''',,,,,,,,,,,,,,;;;;;;;,,;;;,,,,,;;;,,,,,,;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,;;,,,,,,,,,'',,,,,,,,'''''',,:clolc:;,,,,,,,;;;;;;;;;;;::cccccc:;;,,,;::clllooolllcc::;;;;;;;;;;;;;;,;;;;;;;;;;;;;;::cclllllllooooooolllcccccccccc:;;;;;;::;::::c:;;;;::::::;;;;;;;;;;;
,,,,,,;;;;:;;;;;;;;;;;;;;;;::;;;:::::;;;:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,''''''.'''''',,,,,,,,''''',,,,,,,,,,',,;;;;,,,,,''''.''''',,,,,,,,'',,;,,;,,,,,,,,,,,,,,,,,,,,,'''''''''''',,,,'''''''''''..'''',,'''''''''''''''''''',,,,,,,,,,;;;;;;;;;;;;;,,,,;;;;;;;,,,;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,;;,,,;;;;;;;;;;,,;;;;;;,,,,,,,,,,,,,,,,,'''''',;clolc;,,,,,,,,,,;;;;;;;;;;:::ccllc:;,,;::ccclllllllllccc:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::::cccccllloollcc:::::::cccccccc::;:::cc:;;;::::::::::::::;;:
,,,,,,,;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;:;;;;;;,,;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;,,,,,,,'''''''',,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,',,,,,'''',,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,;,,,,,'',,''''''',,;;;;;;,,,,,,,''''''',,,;;;,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,'',,,,''''''''''''..''',,''''''''''''''''''',,,,,,,,,,,;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,;:llc:;,,,,,'',,,,;;;;;;;;;;:::clllc:::ccccccccccccccclllccc::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::clllllcc:::::::::ccccllcccccccc::cccc:::::::::::::
,,,,,,,,,,;;,,,,,;;;,,,,,;;;,,;;;;;;;;;;;;;;;;,,,,,;;,,,,;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,''',,,,'''',,,,,,,,,'',,,,,,,,,''''',,,,,'''''',,,;;;;;,,,,,,''',,''',,;;;;;,,,,;;,,,,,,,,,,,,,;,,,,,;;,,;;;,,,,,,,;;,,,,,,,,,,,,,''''''''',,,,,,'''''''''.....''''''''''''''''''''''''''',,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,;;;,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,''',,,,,,,,,,,,;,,,,,;;::;;;,,,,,,,',,,,,,,,,,;;;;;:clllccccc::::::::;;;;::clllllccc:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::cccc:::::::::::::::cclllllllcc::::::::::::::::
,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''.....'',,,,,,'',,,,''''''''',,,,,,,,,,,,,'''''',,,,,,,''''',,,;;;;,,,,,,,'',,'''',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;,,,,,,,;;,,,,,,,,,,,,''''''''''',,,,,,'''''''.........''''''''''''''''''''''''''',,,,,''''',,,,;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;,,,;;;,,,;;;;;;;;;;;;;;;;;,,,;,,,,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,;:clllccc:;;;;;;;;;;;;;;;::ccllllllcc:::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;::::::ccc:::;;;;;::::ccllloollcc::::::::::::::
;;;;;;;;;;,,,,,,,,,,,,,;;;,,;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''....'',,,,,,,,,,,'''..''.'',,,,,,,,,,,,,''''',,,,'''''''',,,,,,,,,,,,,,,,,,,',,,;;;;;;;;,,;;;;;;,,;;;,,,,;;;,,,,,,,,,;;;,,,,;;,;;;;,,,,,,,,,,,,,,,,,''',,,,,,,,,,'''...........''''''''''''''',,,'''''''''''''..''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;,,,,''''',,;;,,,,,,,,,;;:::::::::;;,,,,,,,,,,;;;;:ccccc:;;;;;;;;;;;;;;;;;;:::::cclllolllc:::;;;;;;;;,;;;,,,,,,,,,,,,,,,;;;;:::::ccc::;;;;;;;::cccllooooolllccc::::::::
;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;,,,,,;,,,,;;,,,,,,,,,,,,,,,,,,,,,,''','''',,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,''''....'',,,,,,,,,,,,,'',,,,,''''''',,''',,,,,,,,,,,,,,,,,,,,,;;;;,,,,,;;;;;;,,,;;;;;;;;;;,,,,,,,;;;;;;;;,,,;;;;;;;;,;,,,,,,,,,,,,,,,,,,,,,,,,''''..........''''''''''''''''''''''''''''''''''''''''',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;,;;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,''''',,;,,,,,,,,,,,;;;;::::::::;::;;;,;;::cccccc:;;,,;;;;;;;;;;;;;;;;;::::::ccllooolllcc::;;;;;;:::;;;;,,,,,,,,,,,,,;;;;;;:::cc::;;;;;;;:::ccllloooooollllccc:::
;;;;,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;,,,,',,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,;;;,,,,,,,,,,,,,,,;;;,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,''',,,,,,,,''''.'''',,,,,,,'',,,,,,,,,,'''''''',,,,',,''',,,,,,',,,,,,,,,,;;,,,,;;;;;;;,,,,;;;;;;;;;;,,,,,,,;;;;;;;,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.....''''''''''''''''''''''''''''''''......'''',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,'''',,,,,,,,,,'''',,,,;;;;;;;;;;::::::ccllcccc:;,,,,,,,,;;;;;;;;;;;;;;;;;;:::ccllloooollcc::::ccccccc:::;;;;;;,,,,,,,,;;;;;::::::::;;;;;;;;;::clllllllllllllcc
,,,,,,,,;;;;;,,,,;;;;;;;,,,,,,,,,,,,,,,,'''''',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,'',,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;,;,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,''''''',,,,''''''',,,,,,''''''''',,,,,,'',,,,,,,,,,'''''''''',,,,,,,,''',,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,''''''''...''''''''''''''''''''''''''''''..........'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,'''',,,,,,,;;;;;,,,,;;;:ccc:;;;,,,,,,,,,,,,,;;;;;;:::;;;;;;;;:::cccllloooollcc::::cccllllcc:::;;;;;,,,,,;;;;;;;;::::::::::;;;;:cclllllllllllll
;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;,,,,,,,,,,,'',,,,;;;;;;;;,,,,,,,,,,,,,'',,,,,,,,,,,'''''',,,;;;;;;;;;;;,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''',,,,,,,,,,,,''....',,,,,'''''',,,,,'''''',,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,,',,,,,,,,,,;;;;;;;;,,,,,,,,,;;;;;;,,,,,,,;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''''........'',,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,;;;;;;,,,,,,,,,,,,,,,,,,'''''',,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;:::::ccllooolllccc::cclooooollcc:::;;;;::::;;,,;;;;::::ccccccccclllllllllcccc
;;;;;;;;;;;;;,,,,,,,,,,,,'',,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,;;,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;,,,,,,''''''',,,,;;;,,,,,,,;;,,,,,,,,,,,,,,,,,,,,'''''',,,,;;;;;;;;;,,,,,,,,,;;,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,'''''''''',,,,,,,,'''..''',,,,,,',,,,,,,,''''',,,,,,,,,,,,,,,,,,''''''''''''''''''''''',,,,,,,,,,''',,,,,,,,,,,;;;;;;;;;,,,,,,,;;,,,,,,,,;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,'''''''''.''''''''''''''''''''''...'''''....'''''',,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;,,,,,,,,'''''',,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,;;;;,,,,''''''''',,,,,,,,,,,;;;;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;:::cccllllllllccccllooooooollcc::ccccc::;;,;;;;;:::::cccclllllllcccc:::
;;,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,'''',,,;;;;;;;,,,,,,,;;;;,,,;;;,,;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,',,,,,,;;;;;,,,,,,,,,,,,,,,;;;;,,,,,,,,,;;;;,;;;,,,,,,,,,,,'''''''''''',,,,,,,,'''''''',,,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,'''''',,,,,',,,',,'''''''''''',,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;,,,;;;,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''........''...''''''''',,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;,,,,,,,,,'''',,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,;;;;;;;,,,,,,''''''',,,,,;;,;;;,;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;::::ccclllllccccccclllllcccccccccllc::;;;;;;;;:::::ccllllcccc::;;,
;;;,,,,'''''''''''''''''',,,,,,,''''',,,,,,,,,,,,,,,,,,;;;;;,,,,,,''',,,,,;;;;;;;;;;,,,,,,,,,;;;;;;,,,,,,,;,,;;;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;,,,,,,,;;,,;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,'''''''''',,,,,,,,,'''''',,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,''''''''',,,,,,''''''''...'',,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;,,,,,,,;;;;;;;;;;;;;;;,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''....'''''''''''''''''''',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,;;;,,,,;;;;,,,,,,'',,,,,,,,;;;,;;;;;;;;;;;;,,,'''''''',,;,,,;;;;;;;;;;:::;;;;;;;;;;;:cclllcc::::ccc::::::::::cclllc:;;;;;;;;;;:::ccllcc:::;;,,
,,,,,,,,,,'',,''''''....''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;,,,,,,,;;;,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''....'''''''''',,,,''''''''''','''''''''',,,,,,,,;;;;;;;,,,,,,'''',,,,;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,'''''''''''''''',,''''''''''''''''''''''''''''''''',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;,,,,,,,'''',,,,,,,,,,,,,,,;;;;;;;;;;;;;,,;;;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;,,,,'''''',,;;;;;;;;;;:::::::;:;;;,,,;;::cc:::::::;;;;;;:::::::ccccc::;;;;,,,,;;;:clllc::;;;;
,,,,,,,,,,,,,,,,,,,''''.....''''',,,,,,,,,,,,,,,,;;;,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;;,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,'',,,,,,',,,,,,;;;;,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,'',,,,,,,,,,,,,,,;;;;;,,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,;,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''............'''',,,,''''''''''''''''''''',,,,,,,,,,,,,,,;;;,,,,,,,,,,;;,;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,;;;,,,,,,,,,,,,,,,,,'''''''''''''''''''''''''''''''''''''...''''''''''''',,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,''',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;,,;;;;;;;;,,'',,,,;;;;::;;;;::::ccc::::;;,,,,,,;::::;;;;;,,;;;;;;;::::::cccc:::;;,,,,,;;ccllcc::::
,,,,,,,,,,,,,,,,,,,,,,''''''''''',,,,,,,,,,,,;;,,,;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,,,,;;;;,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,,,,,,;;;;;;,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,',,,,,,,,,,,,,,,,,,,,;;;;,,,,'''''''''''',,,,,,,;;,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,;,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''......''''',,,,,,,'''''''''''','''''''',,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;;;;;;;,,;;;;;;,,,,,;;;;;;;;,,,,,,,,,,,'''''''''...'''''''''''''''''''''''''''''''''''''''''',,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,;;,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,;;;;;;,,,'''',,,,,,;;;;;;;;;::::::;;;;;;,,;;;::::;;;,,,,,,,,;;;::::cccccccc::;;;;;:cccccc:::
'',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,;;;;;;;;;;;;;;:;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,;;;;;;;,,,;;,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,,,,,'''''''''''''''''',,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,;;;;;;;;;,,;;;;;;;;;;;;;;;;,,,,',,,,,;;;,,,,,,;;,,'''''''''''',,,,,,,,,;;;;;;;;;;:::;;::::::::;;;;,,,,,,,;;;::cccccccccccc::::ccccc::
''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,''''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,'''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,''''''''''''''''''''''''',,,,,,,,;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;:::;;;;;;;;;,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;,,,,,,,,,,,,,,,,,,;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,'''',,,,,,,,,;;;,,,,,,'''''''''',,,,,,,,,;;;;;;;;::::::::::::::;;;;;;,,,,,,;;;::ccccclllllllcc:ccccc
,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;,,,,,,,,'''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,;;;;;;;;,,,,,,,,,;,;;,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,''''''''''',,,,,,'''''...''''''''''',,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;,;;;;;;;;;;;;;;;;;;;;;;;;,,;;,,,,,,,,,'''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;,,,,,'''''''''',,,,,,,,,;;;;;;;;;;;;::::::::::::;;;;;;,,,,,,;;:cccllllooolcc:ccc
,,,,,,,'''',,,,,,,,,,,,,,,'''''',,,,,'''''',,,,,;;;;;;,,,,,'''''''''',,,,,,;;;;;;;;;;;;;,,,''''''''''''''',,,;;;,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,;;;;;,,,,,,,,,,,,,,,,,;;,,,,;,;;;;;;,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,;,,,,,,;;;,,,'''''...'''''''''''''''''''',,,,,,,,,,,,,,,,,,,,;;,,,,,,;;;;;;;;;;;;;;;;;;;;;:;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,'''',,,,;;;;;;;;,,,,,,'''''''''',,,,,,,;;;,,,,,;;;;;;;;;::::::;::::;;;;,,,,,;:::ccllllooolccc
,,,,,,,,,,,,,,,,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,;;;;;;;;;,,,,'''''''''''''',,,,,,;;;;;;;;;,,,,,,,'''''''''',,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;,,,,,,,,,,',,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,''...''''''''''''',,,,''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;;,,;;;;;;;;,,,,,,,,,,,,''''''''''''''''''''''''''''''''''''''''''''',,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;,,,,,''''''',,,,,,;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;:cclllllll
,,,,,,,,,,,,,,,,,,,,''''''''''''''',,,,,,;;;,,,,,,,,,,,;;;;;;;;;,,,,,,'''''''''''',,,,;;;;;;;;;;;;,,,,''''''''',,,;;;;;;;;;;;;;;;;;;;;;;,,,;,,,,,;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,''''''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,''''',,,,,,,,',,,''''''''''''''''''''''''''''',,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;,,,,''',,,,;;;;;;;;;,,,,,,,,,,'',,,;;;;;,,,,;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;,,;;:cclllll
,;;;;,,,,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,,,,',,'',,,,,,;;;;;;;;;,,,,,'''''..''''',,,,,;;;;;;;;;,,,,,,'''''',,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;,,,,;;;;;;;;;;;,,,,,,;;;;;;;;,;;;;;;;;;;;;,,;;,,,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;,,;;,,,,,,,,,'''''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;,,,;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''''.'''''''',,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;,,,,'',,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;:::::;;;;;;;;,,,,,,,,;;;;:::ccclllll
,,;;,,,,,,,,,,,,,,,,''''''''''''''........''',,,,,,''''''''',,,;;;;;;;;;,,,''''......'''''',,,,,,,,,,,,,,,,,,,,,,',,,,,,,,,;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;,,,;;;;;;,,,,,,,,,,;;;;;;;;,,,,,,,;;;;;,,;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,;,,,,,,,,,,,,,,,;;;;,,,;,,,,,,,,,,,,,,,,,,,,,,,'''''',,,;;;;;;;;;;;;;;;;;;;,,,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,;;;,,;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,',,'''''''''''''''''..''''''',,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,;;;;;;;:::::::;;;:::;;;,,,,,,,,;;:ccclllll
,,,,,,,,,,,,,,,,,,,,''''''''''''''''''......''',,,,,,,,',''''',,,,,;;;;;;;,,,,,''''''''.......''''''''',,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;,;,;;;;,,,;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;,,,,,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,,,,;;,,,,,,;;;,,,,,,,,,,;;,,,,,,,,,,,,,,,,,,,,,,,,,,,'''',,,,;;;;;;,;;;;;;;;;;;;;,,,,,,,,,,,''''''',,,,,,,,,,,,,,,''''''',,,,,,,,,;;;,;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''.....''''''',,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,;;;;;;;;;,,,,''',,,,;;;;;;;;;;;;;,,,,,,,,,,,;;;,,,;;;;::cc:::cccc:::;;;,,,,,,;;:cllll
,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,'''''''''''''',,;,,,,,,,,,'''''''',,,,,,,;;;,,,,,,,,'''''''''.........'',,,,;;;;,,,,,,,,,,,,,,,;;;;;;;;;::;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,;;;,;;;,,,,,,,;;;,,;;,,,,,;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;,,,;;;;;;;;;;;;;;;;;,,,,,,,,,''''''''',,,,,,,,,,,,''''',,,,;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''.''''''''''',,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;,;;;;;;,,''''',,,;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;:::cccccccccc:::;;;;;;;:clll
''''',,,,,;,,,,,,,,;;,,,,,,,,,,,,,''''''''''''''',,,,,,;;;;;,,,,,'''''''',,,,;;;;;;;;,,,,,,,,,,,'''''......'''',,,,,,,,,,,,,,,,,,,,,,;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;,,,,,,,,;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,;;;;;;;;;;,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,,,;;;;;;;;;;;;,,,,,,,,,,''''''''''',,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;;,,;;,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''''''''''''''',,,,,,,,,,,,,,'''',,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;,,,,,;;;,,,,''''',,;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;::::::::cccc:::;;;:::ccl
,,',,,,,,,,,,,,,,,,,;;;;;;;;;,,,,,,,''''''..''''''''',,,,;;;;;;,,,,,'''''''',,,,;;;;;;;;;;;;;;;;,,,,,,,''''''''''',,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;,,,;;;;;,,,,;,,;;;;;;;;;;;,,;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;,;;;;,,,,,,;;;,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,''''...''''''',,;;,,,',,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,;;,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''.....'''''''''',,,,,,,,,,,,,''''''',,,,,,,,,;;;;;,,,,,;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,;;,,,''''',,,,;;,;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;:::::::::::::::
'''',,,;;;,,,,,,,,,,,,,;;;;;;;,,,,,,,,,'''...........'',,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,,,,,,,,,,''''',,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;,,;;;;;;;;,;;;;;;;;;;,,,,,,,,,,,,;;,,,,;;;,,,,,;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,;;,,,,,,,,,,,,,,;;,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;,,,,,,'''''''..''',,,'',,,,,,,,,,,,,,,,,;;;,,,,,,,,,;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''....''''''''''',,,,,,,,,,,,''''''',,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,,;;;,,,''''',,,,,,,,,,,;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;:::::::::::::
'''''',,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''''........'''',,,,,'',,,,;;;;;,,,,,'',,,,,,,,;;;;;;;;;;;;;,;;,,,,,,,,,,,,,'''''',,,,,,,,,,,,,,,;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;,,,,,,,,,;;;;;,,,,,,;;;;,,,,,,,;;;;;;;;;,;;,;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,;;;;,,,,,,,,,,,,,;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;,;;;;;;,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,'''..'''''''',,,;;;,,,,,''',;;;;;,,,,,,,,,,,,;;;;;;;;;;;;,,;;;;::;;;;;;;;;;;;;;;;;;;;;;;;,;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,'''',',,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;:;;;;;;;;;;;;;;;;;;;;;,,;,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,,,,;;;,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;::::::::
''''''''',,,;;;;;,,,,,,,,''''''''''',,;;;,,,,,,'''''......''',,,,,,,,,,,,;;;;;;,,,,,,'',,,,,,,,,,,,;;;;;;;,,;;,,,;;;;,,,,''''''',,;;;;;,,,;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;,,,,,,,,;;;;;,,,,,,,;;,,,,,,,,,,,,,;;;;;;,;;;;;;,,,,,,,''''',,,,,,,,;;;;;;;;;,,,,,,,,,,,,,;;;;;,,,,,,,,,,,;;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;,,,,,,,,,,,,,,,,,;;;;;,,,,,,,''',''''',,,,,,,,,,,,,,,,;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,,,,,,,,,,,,,,,'''''''''''''','',,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,;;;;;;;;;:::;;;;::;;;;;;;;;;;;;;;;;,,,,,,,,;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;,,,''''',,,,,,,,,,,,,,;,,,,,,,;,,,,;;;;;,,;;;;;;;;;;;;:
,,,,,,'''',,,,;;;;;,,,,,,,,''''''''',,,,,;;;,,,,,,,''''''..''''',,,,,,,,,,,,,,;;;;;,,,,,,,''''''',,,,,,,,;;;;;;;;;;;;;;,,,,,,''''',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;,,,,;;;;;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,''''''''',,,,,,,,,,,,,,,,,,,,,,,,;,;;;,,,,,,,,,,,,,;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;,,;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,''''''''''''''''''',,,,,,,,,,,,,,,',,,,,,,'',,,,,,,,,,,,,;;,,,;;;;;,,,,,,,;;;::::;;;:;:::;;;;;;;;;;;;;;;;,,,,,,,,,,;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;,,,''''',,;;,,,,'',,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;
,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,,,'''',,,,;,,,,,,,,,,,,,,,,,,,,,,,,,,''''''',,,,,;;;;;;,,,,,,,,,,,,,,,'''',,,;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,'''''''',,,,,,,,,,,,,,,,,;;;;;;;;,,;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;,,,,,,,,,,,,,,,;;;,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,''''''''''''',,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;:::;;:::;;;;;;;;;;;;;;;;;,,,,,,,,;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,;;,,,,,,,,,,,;;;,,,,,,,,;,,,;;;;;;;::::;;
,,,,,,,,,,,,,,,,,,,;;;;;,,,,,,,,,,,,,,'''''''''',,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,,,,,,,,,,,,,,,,;,,,,,'''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,'''''''''''',,,,,,,,,,,;;;;;;;;;,,,;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,;;::::;,,,,,,,,,,,,,,,,,,,,,,'''''''''''''',,,,,,,,,,,,,,,,,,,,,,,''',,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;::;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;,,,,,,,,,,,,,,,,,,,,,,''',,,,;;;;;;;;;;::::
,,,;,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,'''''.....'',,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;,,,;;,,;,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,,''''''''''',,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;;;,,,,,',,,,,,,,,,,,,;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''''',,,,,,,,;,,,,,,,,,,,''',,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;::::;;;;;;::;;;;;;;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;,,,,,,,,,;;;;;;;;,,,,,,,,,,;;;;;;;,,,,;;
,,,,,,,,,,,,,,,'''''',,,,;;;;;;,,,''''.............'',,,,;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'',,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;,,,,,''',,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,''''''''',,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,;;;;;;;;;;,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,'''''''',,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,;;;;;;;;;;;;;;;;;;:::::::::::;;;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;,,,,,,',,,,,,,,
,,,,,,,,,,,,,,,,,''''''',,;;;;;;;,,,,''''''.......''''''',,;;;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;,,,,,,,,''''''',,,,,,,,,;;;;;;;;;;;;;;;;;;;;;,,,,,,,''',,,,;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,'''''''',,,,,,,,,,;;;;;;;;;;;;;;;;;,,,;;;;;,,;;;;;;;;;;;;;,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,,,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;:::::::::::::;;;;;;;;;;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,;;;;;;;;;;;,,,,',,,,,,;
,,,,,,,,,,,,;;;;,,,,,,,,,,,,,;;;;;;;;,,,,,,,''''',,,,,,,,,,,;;;;;;;;;;;;;,,,,,;;;;;;;;;;;;;;;;;;;;;;;,,,,,,,,,,,,,,'',,,,,,,,,,;;;;;;;;;;;;;;;;;;,,,,,''',,,,,;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,''',,,,,,,,,,,,,,;;;;;;;;;;;,,,,,,,,,,,,,,,;;;;;;;;;;;;,,,;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;,,,,,,,;;;;;;;;;;;;,,;;;;;;;,,,,,,;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;,,;;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;::;::::::;;;;;;;;;;;;;;;;,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;;,,,;;;;;;;;;;;;;,,,,,'',
,,,,,,,,,,,,,;;;;;;;;;;;;;;,,;;;;;;;;;;;,,,,,''',,,,,,,,,,,;;;;;;;;;;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,,'''''''''',,,,,,,,,,,;;;,;;;;;;;;;,,,,,,,,,,,,;;;;;;,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,;;;,,,,,,,,'',,,,,,,,,;;;;;;;;;;;,,,,''',,,,,,,,,,,,,;;;;;;,,;,,,;;;,,,;;;;;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;,,,;;;;;;;;;;;;,,;;;;;;;;;,,,,,,,;;;;;;;;;;;;,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;;,,,,,;;,,;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;;;,,,,,,,,,,,,,,,,,,,,,,,;;;;;;;;;;;;;;;;;;;::::::;;;;::;;;::;;;;;;;;,,,,,,;;;;;;;;;;;;;;;;;;,,,;;;;;,,,,,,,;;;;;;;;;;;;;;;;;;;;,,;;;;;;;;;;;;;,,''