typedef char int_least8_t;
typedef short int_least16_t;
typedef int int_least32_t;
typedef long long int int_least64_t;
typedef unsigned char uint_least8_t;
typedef unsigned short uint_least16_t;
typedef unsigned int uint_least32_t;
typedef unsigned long long uint_least64_t;
typedef char int_fast8_t;
typedef short int_fast16_t;
typedef int int_fast32_t;
typedef long long int int_fast64_t;
typedef unsigned char uint_fast8_t;
typedef unsigned short uint_fast16_t;
typedef unsigned int uint_fast32_t;
typedef unsigned long long uint_fast64_t;
typedef int * intptr_t;
typedef unsigned int * uintptr_t;
typedef int intmax_t;
typedef unsigned int uintmax_t;