import macros;macro ImportExpand(s:untyped):untyped = parseStmt($s[2])
# source: src/cplib/tmpl/sheep.nim
ImportExpand "cplib/tmpl/sheep" <=== "when not declared CPLIB_TMPL_SHEEP:\n    const CPLIB_TMPL_SHEEP* = 1\n    {.warning[UnusedImport]: off.}\n    {.hint[XDeclaredButNotUsed]: off.}\n    import algorithm\n    import sequtils\n    import tables\n    import macros\n    import math\n    import sets\n    import strutils\n    import strformat\n    import sugar\n    import heapqueue\n    import streams\n    import deques\n    import bitops\n    import std/lenientops\n    import options\n    when not declared CPLIB_TMPL_FASTIO:\n        const CPLIB_TMPL_FASTIO* = 1\n        import macros\n    \n        # 入力系\n        {.emit: \"\"\"\n        #include <cstdio>\n        #include <cstddef>\n        #include <cstdint>\n        #include <cstring>\n        #include <string>\n        #include <sys/mman.h>\n        #include <sys/stat.h>\n    \n        namespace cplib_fastio_input {\n        constexpr std::size_t buffer_size = 1U << 20;\n        constexpr std::size_t safe_integer_bytes = 32;\n    \n        struct InputState {\n          alignas(64) char buffer[buffer_size];\n          std::size_t cursor;\n          std::size_t length;\n          const char* mapped;\n          bool initialized;\n        };\n    \n        inline InputState& input_state() {\n          static InputState state = {};\n          return state;\n        }\n    \n        inline std::string& token_storage() {\n          static std::string storage;\n          return storage;\n        }\n    \n    #if defined(__GNUC__) || defined(__clang__)\n    #define CPLIB_FASTIO_ALWAYS_INLINE inline __attribute__((always_inline))\n    #define CPLIB_FASTIO_NIM_ALWAYS_INLINE \\\n            static inline __attribute__((always_inline))\n    #define CPLIB_FASTIO_UNLIKELY(condition) (__builtin_expect(!!(condition), 0))\n    #elif defined(_MSC_VER)\n    #define CPLIB_FASTIO_ALWAYS_INLINE __forceinline\n    #define CPLIB_FASTIO_NIM_ALWAYS_INLINE static __forceinline\n    #define CPLIB_FASTIO_UNLIKELY(condition) (condition)\n    #else\n    #define CPLIB_FASTIO_ALWAYS_INLINE inline\n    #define CPLIB_FASTIO_NIM_ALWAYS_INLINE static inline\n    #define CPLIB_FASTIO_UNLIKELY(condition) (condition)\n    #endif\n    \n        inline void initialize(InputState& state) {\n          if (state.initialized) return;\n          state.initialized = true;\n    \n          struct stat st;\n          const int fd = fileno(stdin);\n          if (fstat(fd, &st) == 0 && S_ISREG(st.st_mode) && st.st_size > 0) {\n            void* p = mmap(nullptr, static_cast<std::size_t>(st.st_size),\n                           PROT_READ, MAP_PRIVATE, fd, 0);\n            if (p != MAP_FAILED) {\n              state.mapped = static_cast<const char*>(p);\n              state.length = static_cast<std::size_t>(st.st_size);\n              madvise(const_cast<char*>(state.mapped), state.length,\n                      MADV_SEQUENTIAL);\n            }\n          }\n        }\n    \n        inline bool refill(InputState& state) {\n          state.length =\n              fread_unlocked(state.buffer, 1, buffer_size, stdin);\n          state.cursor = 0;\n          return state.length != 0;\n        }\n    \n        inline int get_char() {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped != nullptr) {\n            if (state.cursor == state.length) return -1;\n            return static_cast<unsigned char>(state.mapped[state.cursor++]);\n          }\n          if (state.cursor == state.length && !refill(state)) return -1;\n          return static_cast<unsigned char>(state.buffer[state.cursor++]);\n        }\n    \n        inline bool has_eight_digits(const char* source) {\n          std::uint64_t bytes;\n          std::memcpy(&bytes, source, sizeof(bytes));\n          constexpr std::uint64_t high_nibbles = 0xf0f0f0f0f0f0f0f0ULL;\n          return (bytes & high_nibbles) == 0x3030303030303030ULL &&\n                 ((bytes + 0x0606060606060606ULL) & high_nibbles) ==\n                     0x3030303030303030ULL;\n        }\n    \n        inline unsigned parse_eight_digits(const char* source) {\n    #if defined(__BYTE_ORDER__) && __BYTE_ORDER__ == __ORDER_LITTLE_ENDIAN__\n          std::uint64_t digits;\n          std::memcpy(&digits, source, sizeof(digits));\n          digits -= 0x3030303030303030ULL;\n          digits = (digits * 10 + (digits >> 8)) & 0x00ff00ff00ff00ffULL;\n          digits = (digits * 100 + (digits >> 16)) & 0x0000ffff0000ffffULL;\n          return static_cast<unsigned>(\n              (digits * 10000 + (digits >> 32)) & 0xffffffffULL);\n    #else\n          unsigned result = 0;\n          for (int i = 0; i < 8; ++i) {\n            result = result * 10U + static_cast<unsigned>(source[i] - '0');\n          }\n          return result;\n    #endif\n        }\n    \n        inline unsigned digit_at(const char* source) {\n          return static_cast<unsigned>(static_cast<unsigned char>(*source)) -\n                 static_cast<unsigned>('0');\n        }\n    \n        template <bool negative>\n        CPLIB_FASTIO_ALWAYS_INLINE bool try_parse_digits_unchecked(\n                const char*& source, long long& output) {\n          long long value = 0;\n          if (has_eight_digits(source)) {\n            const long long digits =\n                static_cast<long long>(parse_eight_digits(source));\n            value = negative ? value * 100000000LL - digits\n                             : value * 100000000LL + digits;\n            source += 8;\n            if (has_eight_digits(source)) {\n              const long long next_digits =\n                  static_cast<long long>(parse_eight_digits(source));\n              value = negative ? value * 100000000LL - next_digits\n                               : value * 100000000LL + next_digits;\n              source += 8;\n              for (int pair = 0; pair < 2; ++pair) {\n                const unsigned first = digit_at(source);\n                if (first >= 10U) {\n                  output = value;\n                  return true;\n                }\n                const unsigned second = digit_at(source + 1);\n                if (second >= 10U) {\n                  ++source;\n                  output = negative\n                      ? value * 10 - static_cast<long long>(first)\n                      : value * 10 + static_cast<long long>(first);\n                  return true;\n                }\n                value = negative\n                    ? value * 100 - static_cast<long long>(first * 10U + second)\n                    : value * 100 + static_cast<long long>(first * 10U + second);\n                source += 2;\n              }\n              if (digit_at(source) < 10U) return false;\n              output = value;\n              return true;\n            }\n          }\n          for (;;) {\n            const unsigned first = digit_at(source);\n            if (first >= 10U) {\n              output = value;\n              return true;\n            }\n            const unsigned second = digit_at(source + 1);\n            if (second >= 10U) {\n              ++source;\n              output = negative ? value * 10 - static_cast<long long>(first)\n                                : value * 10 + static_cast<long long>(first);\n              return true;\n            }\n            value = negative\n                ? value * 100 - static_cast<long long>(first * 10U + second)\n                : value * 100 + static_cast<long long>(first * 10U + second);\n            source += 2;\n          }\n        }\n    \n        template <bool negative>\n        inline long long parse_digits_bounded(const char*& source,\n                                              const char* end) {\n          long long value = 0;\n          while (end - source >= 8 && has_eight_digits(source)) {\n            const long long digits =\n                static_cast<long long>(parse_eight_digits(source));\n            value = negative ? value * 100000000LL - digits\n                             : value * 100000000LL + digits;\n            source += 8;\n          }\n          while (end - source >= 2) {\n            const unsigned first = digit_at(source);\n            const unsigned second = digit_at(source + 1);\n            if (first >= 10U) return value;\n            if (second >= 10U) {\n              ++source;\n              return negative ? value * 10 - static_cast<long long>(first)\n                              : value * 10 + static_cast<long long>(first);\n            }\n            value = negative\n                ? value * 100 - static_cast<long long>(first * 10U + second)\n                : value * 100 + static_cast<long long>(first * 10U + second);\n            source += 2;\n          }\n          if (source != end) {\n            const unsigned digit = digit_at(source);\n            if (digit < 10U) {\n              value = negative ? value * 10 - static_cast<long long>(digit)\n                               : value * 10 + static_cast<long long>(digit);\n              ++source;\n            }\n          }\n          return value;\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE bool try_parse_unsigned_digits_unchecked(\n                const char*& source, unsigned long long& output) {\n          unsigned long long value = 0;\n          if (has_eight_digits(source)) {\n            value = static_cast<unsigned long long>(parse_eight_digits(source));\n            source += 8;\n            if (has_eight_digits(source)) {\n              value = value * 100000000ULL +\n                      static_cast<unsigned long long>(parse_eight_digits(source));\n              source += 8;\n              for (int pair = 0; pair < 2; ++pair) {\n                const unsigned first = digit_at(source);\n                if (first >= 10U) {\n                  output = value;\n                  return true;\n                }\n                const unsigned second = digit_at(source + 1);\n                if (second >= 10U) {\n                  ++source;\n                  output = value * 10ULL + first;\n                  return true;\n                }\n                value = value * 100ULL + first * 10U + second;\n                source += 2;\n              }\n              if (digit_at(source) < 10U) return false;\n              output = value;\n              return true;\n            }\n          }\n          for (;;) {\n            const unsigned first = digit_at(source);\n            if (first >= 10U) {\n              output = value;\n              return true;\n            }\n            const unsigned second = digit_at(source + 1);\n            if (second >= 10U) {\n              ++source;\n              output = value * 10ULL + first;\n              return true;\n            }\n            value = value * 100ULL + first * 10U + second;\n            source += 2;\n          }\n        }\n    \n        inline unsigned long long parse_unsigned_digits_bounded(\n                const char*& source, const char* end) {\n          unsigned long long value = 0;\n          while (end - source >= 8 && has_eight_digits(source)) {\n            value = value * 100000000ULL +\n                    static_cast<unsigned long long>(parse_eight_digits(source));\n            source += 8;\n          }\n          while (end - source >= 2) {\n            const unsigned first = digit_at(source);\n            const unsigned second = digit_at(source + 1);\n            if (first >= 10U) return value;\n            if (second >= 10U) {\n              ++source;\n              return value * 10ULL + first;\n            }\n            value = value * 100ULL + first * 10U + second;\n            source += 2;\n          }\n          if (source != end) {\n            const unsigned digit = digit_at(source);\n            if (digit < 10U) {\n              value = value * 10ULL + digit;\n              ++source;\n            }\n          }\n          return value;\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE long long read_mapped_at(\n                const char*& source, const char* end) {\n          while (source != end &&\n                 static_cast<unsigned char>(*source) <=\n                     static_cast<unsigned char>(' ')) {\n            ++source;\n          }\n          if (source == end) return 0;\n          const bool negative = *source == '-';\n          if (negative || *source == '+') ++source;\n          if (end - source >= static_cast<std::ptrdiff_t>(safe_integer_bytes)) {\n            const char* parsed = source;\n            long long value;\n            const bool complete = negative\n                ? try_parse_digits_unchecked<true>(parsed, value)\n                : try_parse_digits_unchecked<false>(parsed, value);\n            if (complete) {\n              source = parsed;\n              return value;\n            }\n          }\n          return negative ? parse_digits_bounded<true>(source, end)\n                          : parse_digits_bounded<false>(source, end);\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE unsigned long long read_uint_mapped_at(\n                const char*& source, const char* end) {\n          while (source != end &&\n                 static_cast<unsigned char>(*source) <=\n                     static_cast<unsigned char>(' ')) {\n            ++source;\n          }\n          if (source == end) return 0;\n          const bool negative = *source == '-';\n          if (negative || *source == '+') ++source;\n          if (end - source >= static_cast<std::ptrdiff_t>(safe_integer_bytes)) {\n            const char* parsed = source;\n            unsigned long long value;\n            if (try_parse_unsigned_digits_unchecked(parsed, value)) {\n              source = parsed;\n              return negative ? 0ULL - value : value;\n            }\n          }\n          const unsigned long long value =\n              parse_unsigned_digits_bounded(source, end);\n          return negative ? 0ULL - value : value;\n        }\n    \n        inline long long read_int_stream_slow(InputState& state) {\n          bool negative = state.buffer[state.cursor] == '-';\n          if (negative || state.buffer[state.cursor] == '+') {\n            ++state.cursor;\n            if (state.cursor == state.length && !refill(state)) return 0;\n          }\n          long long value = 0;\n          for (;;) {\n            while (state.cursor != state.length) {\n              const unsigned digit = digit_at(state.buffer + state.cursor);\n              if (digit >= 10U) return value;\n              value = negative ? value * 10 - static_cast<long long>(digit)\n                               : value * 10 + static_cast<long long>(digit);\n              ++state.cursor;\n            }\n            if (!refill(state)) return value;\n          }\n        }\n    \n        inline unsigned long long read_uint_stream_slow(InputState& state) {\n          const bool negative = state.buffer[state.cursor] == '-';\n          if (negative || state.buffer[state.cursor] == '+') {\n            ++state.cursor;\n            if (state.cursor == state.length && !refill(state)) return 0;\n          }\n          unsigned long long value = 0;\n          for (;;) {\n            while (state.cursor != state.length) {\n              const unsigned digit = digit_at(state.buffer + state.cursor);\n              if (digit >= 10U) return negative ? 0ULL - value : value;\n              value = value * 10ULL + digit;\n              ++state.cursor;\n            }\n            if (!refill(state)) return negative ? 0ULL - value : value;\n          }\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE long long read_int_stream(InputState& state) {\n          for (;;) {\n            if (state.cursor == state.length && !refill(state)) return 0;\n            while (state.cursor != state.length &&\n                   static_cast<unsigned char>(state.buffer[state.cursor]) <=\n                       static_cast<unsigned char>(' ')) {\n              ++state.cursor;\n            }\n            if (state.cursor != state.length) break;\n          }\n          if (state.length - state.cursor < safe_integer_bytes) {\n            return read_int_stream_slow(state);\n          }\n          const char* source = state.buffer + state.cursor;\n          const bool negative = *source == '-';\n          if (negative || *source == '+') ++source;\n          long long value;\n          const bool complete = negative\n              ? try_parse_digits_unchecked<true>(source, value)\n              : try_parse_digits_unchecked<false>(source, value);\n          if (!complete) return read_int_stream_slow(state);\n          state.cursor = static_cast<std::size_t>(source - state.buffer);\n          return value;\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE unsigned long long read_uint_stream(\n                InputState& state) {\n          for (;;) {\n            if (state.cursor == state.length && !refill(state)) return 0;\n            while (state.cursor != state.length &&\n                   static_cast<unsigned char>(state.buffer[state.cursor]) <=\n                       static_cast<unsigned char>(' ')) {\n              ++state.cursor;\n            }\n            if (state.cursor != state.length) break;\n          }\n          if (state.length - state.cursor < safe_integer_bytes) {\n            return read_uint_stream_slow(state);\n          }\n          const char* source = state.buffer + state.cursor;\n          const bool negative = *source == '-';\n          if (negative || *source == '+') ++source;\n          unsigned long long value;\n          if (!try_parse_unsigned_digits_unchecked(source, value)) {\n            return read_uint_stream_slow(state);\n          }\n          state.cursor = static_cast<std::size_t>(source - state.buffer);\n          return negative ? 0ULL - value : value;\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE long long read_int() {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped == nullptr) return read_int_stream(state);\n          const char* source = state.mapped + state.cursor;\n          const long long value =\n              read_mapped_at(source, state.mapped + state.length);\n          state.cursor = static_cast<std::size_t>(source - state.mapped);\n          return value;\n        }\n    \n        CPLIB_FASTIO_ALWAYS_INLINE unsigned long long read_uint() {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped == nullptr) return read_uint_stream(state);\n          const char* source = state.mapped + state.cursor;\n          const unsigned long long value =\n              read_uint_mapped_at(source, state.mapped + state.length);\n          state.cursor = static_cast<std::size_t>(source - state.mapped);\n          return value;\n        }\n    \n        template <class T>\n        inline void read_int_array(T* output, std::size_t count) {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped != nullptr) {\n            const char* source = state.mapped + state.cursor;\n            const char* const end = state.mapped + state.length;\n            for (std::size_t i = 0; i < count; ++i) {\n              output[i] = static_cast<T>(read_mapped_at(source, end));\n            }\n            state.cursor = static_cast<std::size_t>(source - state.mapped);\n          } else {\n            for (std::size_t i = 0; i < count; ++i) {\n              output[i] = static_cast<T>(read_int_stream(state));\n            }\n          }\n        }\n    \n        template <class T>\n        inline void read_uint_array(T* output, std::size_t count) {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped != nullptr) {\n            const char* source = state.mapped + state.cursor;\n            const char* const end = state.mapped + state.length;\n            for (std::size_t i = 0; i < count; ++i) {\n              output[i] = static_cast<T>(read_uint_mapped_at(source, end));\n            }\n            state.cursor = static_cast<std::size_t>(source - state.mapped);\n          } else {\n            for (std::size_t i = 0; i < count; ++i) {\n              output[i] = static_cast<T>(read_uint_stream(state));\n            }\n          }\n        }\n    \n        inline const char* read_token(std::size_t* output_length) {\n          InputState& state = input_state();\n          if (CPLIB_FASTIO_UNLIKELY(!state.initialized)) initialize(state);\n          if (state.mapped != nullptr) {\n            const char* source = state.mapped + state.cursor;\n            const char* const end = state.mapped + state.length;\n            while (source != end &&\n                   static_cast<unsigned char>(*source) <=\n                       static_cast<unsigned char>(' ')) {\n              ++source;\n            }\n            const char* const token = source;\n            while (source != end &&\n                   static_cast<unsigned char>(*source) >\n                       static_cast<unsigned char>(' ')) {\n              ++source;\n            }\n            state.cursor = static_cast<std::size_t>(source - state.mapped);\n            *output_length = static_cast<std::size_t>(source - token);\n            return token;\n          }\n    \n          for (;;) {\n            if (state.cursor == state.length && !refill(state)) {\n              *output_length = 0;\n              return \"\";\n            }\n            while (state.cursor != state.length &&\n                   static_cast<unsigned char>(state.buffer[state.cursor]) <=\n                       static_cast<unsigned char>(' ')) {\n              ++state.cursor;\n            }\n            if (state.cursor != state.length) break;\n          }\n    \n          const std::size_t token_begin = state.cursor;\n          while (state.cursor != state.length &&\n                 static_cast<unsigned char>(state.buffer[state.cursor]) >\n                     static_cast<unsigned char>(' ')) {\n            ++state.cursor;\n          }\n          if (state.cursor != state.length) {\n            *output_length = state.cursor - token_begin;\n            return state.buffer + token_begin;\n          }\n    \n          std::string& storage = token_storage();\n          storage.assign(state.buffer + token_begin,\n                         state.length - token_begin);\n          while (refill(state)) {\n            while (state.cursor != state.length &&\n                   static_cast<unsigned char>(state.buffer[state.cursor]) >\n                       static_cast<unsigned char>(' ')) {\n              ++state.cursor;\n            }\n            storage.append(state.buffer, state.cursor);\n            if (state.cursor != state.length) break;\n          }\n          *output_length = storage.size();\n          return storage.c_str();\n        }\n    \n    #undef CPLIB_FASTIO_UNLIKELY\n    #undef CPLIB_FASTIO_ALWAYS_INLINE\n        } // namespace cplib_fastio_input\n        \"\"\".}\n    \n        proc fastioGetChar(): cint {.importcpp: \"cplib_fastio_input::get_char()\", nodecl, inline.}\n        proc fastioReadInt(): clonglong {.importcpp: \"cplib_fastio_input::read_int()\", nodecl, inline.}\n        proc fastioReadUInt(): culonglong {.importcpp: \"cplib_fastio_input::read_uint()\", nodecl, inline.}\n        proc fastioReadSignedArray[T: SomeSignedInt](values: ptr T, count: csize_t) {.importcpp: \"cplib_fastio_input::read_int_array(@)\", nodecl, inline.}\n        proc fastioReadUnsignedArray[T: SomeUnsignedInt](values: ptr T, count: csize_t) {.importcpp: \"cplib_fastio_input::read_uint_array(@)\", nodecl, inline.}\n        proc fastioReadToken(length: ptr csize_t): cstring\n            {.importcpp: \"cplib_fastio_input::read_token(@)\", nodecl, inline.}\n    \n        when NimMajor >= 2:\n            template fastioNewSeqUninit(T: typedesc, length: int): untyped =\n                newSeqUninit[T](length)\n    \n            template fastioNewStringUninit(length: int): untyped =\n                newStringUninit(length)\n        else:\n            template fastioNewSeqUninit(T: typedesc, length: int): untyped =\n                newSeqUninitialized[T](length)\n    \n            template fastioNewStringUninit(length: int): untyped =\n                newString(length)\n    \n        proc ii(): int {.inline,\n                codegenDecl: \"CPLIB_FASTIO_NIM_ALWAYS_INLINE $# $#$#\".} =\n            fastioReadInt().int\n        proc lii(N: int): seq[int] {.inline.} =\n            result = fastioNewSeqUninit(int, N)\n            if N > 0:\n                fastioReadSignedArray(addr result[0], N.csize_t)\n    \n        # 型だけなら1要素、長さと型ならseqとして読み込む。\n        proc input*[T: SomeInteger](valueType: typedesc[T]): T {.inline,\n                codegenDecl: \"CPLIB_FASTIO_NIM_ALWAYS_INLINE $# $#$#\".} =\n            when T is SomeSignedInt:\n                T(fastioReadInt())\n            else:\n                T(fastioReadUInt())\n    \n        proc input*[T: SomeInteger](N: int, valueType: typedesc[T]): seq[T] {.inline.} =\n            result = fastioNewSeqUninit(T, N)\n            if N > 0:\n                when T is SomeSignedInt:\n                    fastioReadSignedArray(addr result[0], N.csize_t)\n                else:\n                    fastioReadUnsignedArray(addr result[0], N.csize_t)\n    \n        proc si(): string {.inline.} =\n            var length: csize_t\n            let source = fastioReadToken(addr length)\n            result = fastioNewStringUninit(length.int)\n            if length != 0:\n                copyMem(addr result[0], source, length.int)\n    \n        # 出力系\n        {.emit: \"\"\"\n        #include <cstdio>\n        #include <cstddef>\n        #include <cstdint>\n        #include <cstring>\n        #include <type_traits>\n    \n        namespace cplib_fastio_output {\n        struct FourDigits {\n          char data[10000][4];\n          FourDigits() {\n            for (unsigned i = 0; i < 10000; ++i) {\n              data[i][0] = static_cast<char>('0' + i / 1000);\n              data[i][1] = static_cast<char>('0' + i / 100 % 10);\n              data[i][2] = static_cast<char>('0' + i / 10 % 10);\n              data[i][3] = static_cast<char>('0' + i % 10);\n            }\n          }\n        };\n    \n        inline const FourDigits& four_digits() {\n          static const FourDigits table;\n          return table;\n        }\n    \n        inline char* write_small(char* output, unsigned value,\n                                 const FourDigits& table) {\n          if (value >= 1000) {\n            std::memcpy(output, table.data[value], 4);\n            return output + 4;\n          }\n          if (value >= 100) {\n            std::memcpy(output, table.data[value] + 1, 3);\n            return output + 3;\n          }\n          if (value >= 10) {\n            std::memcpy(output, table.data[value] + 2, 2);\n            return output + 2;\n          }\n          *output++ = static_cast<char>('0' + value);\n          return output;\n        }\n    \n        template <class Unsigned>\n        inline char* write_unsigned(char* output, Unsigned value,\n                                    const FourDigits& table) {\n          unsigned chunks[5];\n          unsigned count = 0;\n          while (value >= 10000) {\n            const Unsigned quotient = value / 10000;\n            chunks[count++] = static_cast<unsigned>(value - quotient * 10000);\n            value = quotient;\n          }\n          output = write_small(output, static_cast<unsigned>(value), table);\n          while (count != 0) {\n            std::memcpy(output, table.data[chunks[--count]], 4);\n            output += 4;\n          }\n          return output;\n        }\n    \n        template <class Integer>\n        inline std::size_t join_signed(\n                const Integer* values, std::size_t count, char* output,\n                const char* separator, std::size_t separator_length) {\n          const FourDigits& table = four_digits();\n          char* cursor = output;\n          using Unsigned = typename std::make_unsigned<Integer>::type;\n          for (std::size_t i = 0; i < count; ++i) {\n            const Integer value = values[i];\n            Unsigned magnitude = static_cast<Unsigned>(value);\n            if (value < 0) {\n              *cursor++ = '-';\n              magnitude = Unsigned(0) - magnitude;\n            }\n            cursor = write_unsigned(cursor, magnitude, table);\n            if (i + 1 != count) {\n              std::memcpy(cursor, separator, separator_length);\n              cursor += separator_length;\n            }\n          }\n          return static_cast<std::size_t>(cursor - output);\n        }\n    \n        template <class Integer>\n        inline std::size_t join_unsigned(\n                const Integer* values, std::size_t count, char* output,\n                const char* separator, std::size_t separator_length) {\n          const FourDigits& table = four_digits();\n          char* cursor = output;\n          for (std::size_t i = 0; i < count; ++i) {\n            cursor = write_unsigned(cursor, values[i], table);\n            if (i + 1 != count) {\n              std::memcpy(cursor, separator, separator_length);\n              cursor += separator_length;\n            }\n          }\n          return static_cast<std::size_t>(cursor - output);\n        }\n    \n        class BufferedWriter {\n         public:\n          static constexpr std::size_t capacity = 1U << 16;\n    \n          explicit BufferedWriter(std::FILE* output)\n              : length_(0), output_(output) {}\n    \n          inline char* reserve_integer() {\n            constexpr std::size_t max_integer_length = 21;\n            if (capacity - length_ < max_integer_length) flush();\n            return data_ + length_;\n          }\n    \n          inline void commit(char* end) {\n            length_ = static_cast<std::size_t>(end - data_);\n          }\n    \n          inline void append(const char* source, std::size_t size) {\n            if (size <= capacity - length_) {\n              std::memcpy(data_ + length_, source, size);\n              length_ += size;\n              return;\n            }\n            flush();\n            if (size >= capacity) {\n              fwrite_unlocked(source, 1, size, output_);\n            } else {\n              std::memcpy(data_, source, size);\n              length_ = size;\n            }\n          }\n    \n          inline void flush() {\n            if (length_ != 0) {\n              fwrite_unlocked(data_, 1, length_, output_);\n              length_ = 0;\n            }\n          }\n    \n         private:\n          char data_[capacity];\n          std::size_t length_;\n          std::FILE* output_;\n        };\n    \n        template <class Integer>\n        inline void print_signed(std::FILE* output, const Integer* values,\n                                 std::size_t count,\n                                 const char* separator,\n                                 std::size_t separator_length) {\n          const FourDigits& table = four_digits();\n          BufferedWriter writer(output);\n          using Unsigned = typename std::make_unsigned<Integer>::type;\n          for (std::size_t i = 0; i < count; ++i) {\n            char* cursor = writer.reserve_integer();\n            const Integer value = values[i];\n            Unsigned magnitude = static_cast<Unsigned>(value);\n            if (value < 0) {\n              *cursor++ = '-';\n              magnitude = Unsigned(0) - magnitude;\n            }\n            cursor = write_unsigned(cursor, magnitude, table);\n            writer.commit(cursor);\n            if (i + 1 != count) writer.append(separator, separator_length);\n          }\n          writer.append(\"\\n\", 1);\n          writer.flush();\n        }\n    \n        template <class Integer>\n        inline void print_unsigned(std::FILE* output, const Integer* values,\n                                   std::size_t count,\n                                   const char* separator,\n                                   std::size_t separator_length) {\n          const FourDigits& table = four_digits();\n          BufferedWriter writer(output);\n          for (std::size_t i = 0; i < count; ++i) {\n            char* cursor = writer.reserve_integer();\n            cursor = write_unsigned(cursor, values[i], table);\n            writer.commit(cursor);\n            if (i + 1 != count) writer.append(separator, separator_length);\n          }\n          writer.append(\"\\n\", 1);\n          writer.flush();\n        }\n    \n        template <class Integer>\n        inline void print_one_signed(std::FILE* output, Integer value) {\n          const FourDigits& table = four_digits();\n          char buffer[22];\n          char* cursor = buffer;\n          using Unsigned = typename std::make_unsigned<Integer>::type;\n          Unsigned magnitude = static_cast<Unsigned>(value);\n          if (value < 0) {\n            *cursor++ = '-';\n            magnitude = Unsigned(0) - magnitude;\n          }\n          cursor = write_unsigned(cursor, magnitude, table);\n          *cursor++ = '\\n';\n          fwrite_unlocked(buffer, 1,\n                          static_cast<std::size_t>(cursor - buffer), output);\n        }\n    \n        template <class Integer>\n        inline void print_one_unsigned(std::FILE* output, Integer value) {\n          const FourDigits& table = four_digits();\n          char buffer[21];\n          char* cursor = write_unsigned(buffer, value, table);\n          *cursor++ = '\\n';\n          fwrite_unlocked(buffer, 1,\n                          static_cast<std::size_t>(cursor - buffer), output);\n        }\n        } // namespace cplib_fastio_output\n        \"\"\".}\n    \n        proc fastioJoinI32(values: ptr int32, count: csize_t, output: ptr char,\n                           separator: cstring, separatorLen: csize_t): csize_t\n            {.importcpp: \"cplib_fastio_output::join_signed(@)\", nodecl.}\n        proc fastioJoinI64(values: ptr int64, count: csize_t, output: ptr char,\n                           separator: cstring, separatorLen: csize_t): csize_t\n            {.importcpp: \"cplib_fastio_output::join_signed(@)\", nodecl.}\n        proc fastioJoinU32(values: ptr uint32, count: csize_t, output: ptr char,\n                           separator: cstring, separatorLen: csize_t): csize_t\n            {.importcpp: \"cplib_fastio_output::join_unsigned(@)\", nodecl.}\n        proc fastioJoinU64(values: ptr uint64, count: csize_t, output: ptr char,\n                           separator: cstring, separatorLen: csize_t): csize_t\n            {.importcpp: \"cplib_fastio_output::join_unsigned(@)\", nodecl.}\n        proc fastioPrintI32(output: File, values: ptr int32, count: csize_t,\n                            separator: cstring, separatorLen: csize_t)\n            {.importcpp: \"cplib_fastio_output::print_signed(@)\", nodecl.}\n        proc fastioPrintI64(output: File, values: ptr int64, count: csize_t,\n                            separator: cstring, separatorLen: csize_t)\n            {.importcpp: \"cplib_fastio_output::print_signed(@)\", nodecl.}\n        proc fastioPrintU32(output: File, values: ptr uint32, count: csize_t,\n                            separator: cstring, separatorLen: csize_t)\n            {.importcpp: \"cplib_fastio_output::print_unsigned(@)\", nodecl.}\n        proc fastioPrintU64(output: File, values: ptr uint64, count: csize_t,\n                            separator: cstring, separatorLen: csize_t)\n            {.importcpp: \"cplib_fastio_output::print_unsigned(@)\", nodecl.}\n        proc fastioPrintOneI32(output: File, value: int32)\n            {.importcpp: \"cplib_fastio_output::print_one_signed(@)\", nodecl.}\n        proc fastioPrintOneI64(output: File, value: int64)\n            {.importcpp: \"cplib_fastio_output::print_one_signed(@)\", nodecl.}\n        proc fastioPrintOneU32(output: File, value: uint32)\n            {.importcpp: \"cplib_fastio_output::print_one_unsigned(@)\", nodecl.}\n        proc fastioPrintOneU64(output: File, value: uint64)\n            {.importcpp: \"cplib_fastio_output::print_one_unsigned(@)\", nodecl.}\n    \n        proc print_internal(prop: tuple[f: File, sepc: string, endc: string,\n                flush: bool], args: openArray[string]) =\n            for i in 0 ..< args.len:\n                prop.f.write(args[i])\n                if i != args.len - 1:\n                    prop.f.write(prop.sepc)\n                else:\n                    prop.f.write(prop.endc)\n            if prop.flush:\n                prop.f.flushFile()\n    \n        proc print*(prop: tuple[f: File, sepc: string, endc: string, flush: bool],\n                args: varargs[string, `$`]) =\n            print_internal(prop, args)\n    \n        proc fastioPrintWithSeparator(sep: string, args: varargs[string, `$`]) =\n            print_internal((f: stdout, sepc: sep, endc: \"\\n\", flush: false), args)\n    \n        proc fastioAppendInteger[T: SomeInteger](destination: var string, value: T) =\n            var magnitude: uint64\n            when T is SomeSignedInt:\n                let signedValue = value.int64\n                if signedValue < 0:\n                    destination.add('-')\n                    magnitude = uint64(-(signedValue + 1)) + 1'u64\n                else:\n                    magnitude = signedValue.uint64\n            else:\n                magnitude = value.uint64\n    \n            if magnitude == 0:\n                destination.add('0')\n                return\n            var digits: array[20, char]\n            var count = 0\n            while magnitude != 0:\n                digits[count] = char(ord('0') + int(magnitude mod 10))\n                magnitude = magnitude div 10\n                inc count\n            while count != 0:\n                dec count\n                destination.add(digits[count])\n    \n        # 整数は4桁テーブルを使うC++フォーマッタへまとめて渡す。\n        proc fastioJoinImpl[T](a: openArray[T], sep: string): string =\n            when nimvm:\n                result = newStringOfCap(a.len * 4)\n                for i, value in a:\n                    if i != 0:\n                        result.add(sep)\n                    when T is SomeInteger:\n                        fastioAppendInteger(result, value)\n                    else:\n                        result.add($value)\n            else:\n                if a.len == 0:\n                    return \"\"\n                when T is SomeSignedInt and sizeof(T) == 8:\n                    result = fastioNewStringUninit(\n                        a.len * 20 + (a.len - 1) * sep.len)\n                    let written = fastioJoinI64(cast[ptr int64](unsafeAddr a[0]),\n                        a.len.csize_t, addr result[0], sep.cstring, sep.len.csize_t)\n                    result.setLen(written.int)\n                elif T is SomeSignedInt and sizeof(T) == 4:\n                    result = fastioNewStringUninit(\n                        a.len * 11 + (a.len - 1) * sep.len)\n                    let written = fastioJoinI32(cast[ptr int32](unsafeAddr a[0]),\n                        a.len.csize_t, addr result[0], sep.cstring, sep.len.csize_t)\n                    result.setLen(written.int)\n                elif T is SomeUnsignedInt and sizeof(T) == 8:\n                    result = fastioNewStringUninit(\n                        a.len * 20 + (a.len - 1) * sep.len)\n                    let written = fastioJoinU64(cast[ptr uint64](unsafeAddr a[0]),\n                        a.len.csize_t, addr result[0], sep.cstring, sep.len.csize_t)\n                    result.setLen(written.int)\n                elif T is SomeUnsignedInt and sizeof(T) == 4:\n                    result = fastioNewStringUninit(\n                        a.len * 10 + (a.len - 1) * sep.len)\n                    let written = fastioJoinU32(cast[ptr uint32](unsafeAddr a[0]),\n                        a.len.csize_t, addr result[0], sep.cstring, sep.len.csize_t)\n                    result.setLen(written.int)\n                elif compiles(T.umod()) and compiles(a[0].val()):\n                    # Montgomery表現を含め、公開値へ正規化してから一括変換する。\n                    var canonical = fastioNewSeqUninit(uint32, a.len)\n                    for i, value in a:\n                        canonical[i] = value.val.uint32\n                    result = fastioJoinImpl(canonical, sep)\n                else:\n                    result = newStringOfCap(a.len * 4)\n                    for i, value in a:\n                        if i != 0:\n                            result.add(sep)\n                        when T is SomeInteger:\n                            fastioAppendInteger(result, value)\n                        else:\n                            result.add($value)\n    \n        proc join*[T: not string](a: openArray[T], sep: string = \"\"): string {.inline.} =\n            fastioJoinImpl(a, sep)\n    \n        proc fastioPrintArrayImpl[T](a: openArray[T], sep: string) =\n            if a.len == 0:\n                stdout.write('\\n')\n                return\n            when T is SomeSignedInt and sizeof(T) == 8:\n                fastioPrintI64(stdout, cast[ptr int64](unsafeAddr a[0]), a.len.csize_t,\n                    sep.cstring, sep.len.csize_t)\n            elif T is SomeSignedInt and sizeof(T) == 4:\n                fastioPrintI32(stdout, cast[ptr int32](unsafeAddr a[0]), a.len.csize_t,\n                    sep.cstring, sep.len.csize_t)\n            elif T is SomeUnsignedInt and sizeof(T) == 8:\n                fastioPrintU64(stdout, cast[ptr uint64](unsafeAddr a[0]), a.len.csize_t,\n                    sep.cstring, sep.len.csize_t)\n            elif T is SomeUnsignedInt and sizeof(T) == 4:\n                fastioPrintU32(stdout, cast[ptr uint32](unsafeAddr a[0]), a.len.csize_t,\n                    sep.cstring, sep.len.csize_t)\n            elif compiles(T.umod()) and compiles(a[0].val()):\n                var canonical = fastioNewSeqUninit(uint32, a.len)\n                for i, value in a:\n                    canonical[i] = value.val.uint32\n                fastioPrintArrayImpl(canonical, sep)\n            else:\n                stdout.write(fastioJoinImpl(a, sep))\n                stdout.write('\\n')\n    \n        proc fastioPrintOneImpl[T](value: T, sep: string) =\n            when T is SomeSignedInt and sizeof(T) == 8:\n                fastioPrintOneI64(stdout, value.int64)\n            elif T is SomeSignedInt and sizeof(T) == 4:\n                fastioPrintOneI32(stdout, value.int32)\n            elif T is SomeUnsignedInt and sizeof(T) == 8:\n                fastioPrintOneU64(stdout, value.uint64)\n            elif T is SomeUnsignedInt and sizeof(T) == 4:\n                fastioPrintOneU32(stdout, value.uint32)\n            elif compiles(T.umod()) and compiles(value.val()):\n                fastioPrintOneU32(stdout, value.val.uint32)\n            else:\n                fastioPrintWithSeparator(sep, value)\n    \n        proc fastioPrintIntegerMany[T: SomeInteger](sep: string,\n                values: varargs[T]) =\n            fastioPrintArrayImpl(values, sep)\n    \n        # Python風に print(*X) と書くと、Xを空白区切りで1行に出力する。\n        template `*`*[T](values: openArray[T]): string =\n            fastioJoinImpl(values, \" \")\n    \n        # 最後の文字列引数をsepと誤認しないよう、名前付きsepはマクロで処理する。\n        macro print*(args: varargs[untyped]): untyped =\n            var sep = newLit(\" \")\n            var hasSep = false\n            var values: seq[NimNode]\n            for arg in args:\n                if arg.kind == nnkExprEqExpr and arg[0].eqIdent(\"sep\"):\n                    if hasSep:\n                        error(\"sep can only be specified once\", arg)\n                    sep = arg[1]\n                    hasSep = true\n                else:\n                    values.add(arg)\n            var splatValues: NimNode\n            if values.len == 1:\n                if values[0].kind == nnkPrefix and values[0][0].eqIdent(\"*\"):\n                    splatValues = values[0][1]\n                elif values[0].kind in nnkCallKinds and values[0].len == 3 and\n                        values[0][0].eqIdent(\"fastioJoinImpl\"):\n                    # オーバーロード解決時に *values が先に展開された場合。\n                    splatValues = values[0][1]\n            if not splatValues.isNil:\n                result = newCall(bindSym\"fastioPrintArrayImpl\", splatValues, sep)\n            elif values.len == 1:\n                result = newCall(bindSym\"fastioPrintOneImpl\", values[0], sep)\n            else:\n                let integerCall = newCall(bindSym\"fastioPrintIntegerMany\", sep)\n                let fallbackCall = newCall(bindSym\"fastioPrintWithSeparator\", sep)\n                for value in values:\n                    integerCall.add(value)\n                    fallbackCall.add(value)\n                result = quote do:\n                    when compiles(`integerCall`):\n                        `integerCall`\n                    else:\n                        `fallbackCall`\n    \n    macro getSymbolName(x: typed): string = x.toStrLit\n    macro debug*(args: varargs[untyped]): untyped =\n        when defined(debug):\n            result = newNimNode(nnkStmtList, args)\n            template prop(e: string = \"\"): untyped = (f: stderr, sepc: \"\", endc: e, flush: true)\n            for i, arg in args:\n                if arg.kind == nnkStrLit:\n                    result.add(quote do: print(prop(), \"\\\"\", `arg`, \"\\\"\"))\n                else:\n                    result.add(quote do: print(prop(\": \"), getSymbolName(`arg`)))\n                    result.add(quote do: print(prop(), `arg`))\n                if i != args.len - 1: result.add(quote do: print(prop(), \", \"))\n                else: result.add(quote do: print(prop(), \"\\n\"))\n        else:\n            return (quote do: discard)\n    #chmin,chmax\n    template `max=`(x, y) =\n        let yVal = y # yが計算式の場合に評価を1回にするため\n        if x < yVal:\n            x = yVal\n\n    template `min=`(x, y) =\n        let yVal = y\n        if x > yVal:\n            x = yVal\n    proc chmin[T](x: var T, y: T):bool=\n        if x > y:\n            x = y\n            return true\n        return false\n    proc chmax[T](x: var T, y: T):bool=\n        if x < y:\n            x = y\n            return true\n        return false\n    #bit演算\n    proc `%`*(x: int, y: int): int =\n        result = x mod y\n        if y > 0 and result < 0: result += y\n        if y < 0 and result > 0: result += y\n    proc `//`*(x: int, y: int): int{.inline.} =\n        result = x div y\n        if y > 0 and result * y > x: result -= 1\n        if y < 0 and result * y < x: result -= 1\n    proc `%=`(x: var int, y: int): void = x = x%y\n    proc `//=`(x: var int, y: int): void = x = x//y\n    proc `**`(x: int, y: int): int = x^y\n    proc `**=`(x: var int, y: int): void = x = x^y\n    proc `^`(x: int, y: int): int = x xor y\n    proc `|`(x: int, y: int): int = x or y\n    proc `&`(x: int, y: int): int = x and y\n    proc `>>`(x: int, y: int): int = x shr y\n    proc `<<`(x: int, y: int): int = x shl y\n    proc `~`(x: int): int = not x\n    proc `^=`(x: var int, y: int): void = x = x ^ y\n    proc `&=`(x: var int, y: int): void = x = x & y\n    proc `|=`(x: var int, y: int): void = x = x | y\n    proc `>>=`(x: var int, y: int): void = x = x >> y\n    proc `<<=`(x: var int, y: int): void = x = x << y\n    proc `[]`(x: int, n: int): bool = (x and (1 shl n)) != 0\n    #便利な変換\n    proc `!`(x: char, a = '0'): int = int(x)-int(a)\n    #定数\n    when not declared CPLIB_UTILS_CONSTANTS:\n        const CPLIB_UTILS_CONSTANTS* = 1\n        const INF32*: int32 = 1001000027.int32\n        const INF64*: int = int(3300300300300300491)\n    \n    const INF = INF64\n    #converter\n\n    #range\n    iterator range(start: int, ends: int, step: int): int =\n        var i = start\n        if step < 0:\n            while i > ends:\n                yield i\n                i += step\n        elif step > 0:\n            while i < ends:\n                yield i\n                i += step\n    iterator range(ends: int): int = (for i in 0..<ends: yield i)\n    iterator range(start: int, ends: int): int = (for i in\n            start..<ends: yield i)\n\n    proc dump[T](arr:seq[seq[T]])=\n        for i in 0..<len(arr):\n            echo arr[i]\n\n    proc sum(slice:HSlice[int,int]):int=\n        return (slice.a+slice.b)*len(slice)//2\n    \n    proc `<`[T](l,r:seq[T]):bool=\n        for i in 0..<min(len(l),len(r)):\n            if l[i] > r[i]:\n                return false\n            elif l[i] < r[i]:\n                return true\n        return len(l) < len(r)\n    \n    # Yes/No\n    proc yes*(b: bool = true): void = print(if b: \"Yes\" else: \"No\")\n\n    template dblock(body: untyped) =\n        when defined(debug):\n            block:\n                body\n"
# source: src/cplib/tmpl/optimize.nim
ImportExpand "cplib/tmpl/optimize" <=== "when not declared CPLIB_TMPL_OPTIMIZE:\n    const CPLIB_TMPL_OPTIMIZE* = 1\n    import macros\n    import strutils\n    import std/compilesettings\n    macro optimize*(arg: static string = \"\"\"nim c -d:danger -d:second_compile -d:useMalloc --gc:arc --panics:on --opt:speed --checks:off --passC:\"-flto -m64 -march=native -ffast-math\" --hints:off \"\"\") =\n        let isSecond = defined(second_compile)\n        let isDebug = defined(debug)\n\n        if (not isSecond) and (not isDebug):\n            if \"-d:second_compile\" notin arg:\n                error(\"plz add -d:second_compile\")\n            let sourcePath = querySetting(SingleValueSetting.projectFull)\n            let projectDir = sourcePath[0..<sourcePath.rfind('/')]\n            let outFile = querySetting(SingleValueSetting.outFile)\n            let outFlag = if outFile.len > 0: \"-o:\" & outFile & \" \" else: \"-o:a.out \"\n            var cmd = \"cd \" & projectDir & \" && export PATH=$HOME/.nimble/bin:$PATH && \" & arg\n            cmd.add(outFlag & sourcePath)\n\n            echo \"--- Self-Recompiling with optimized settings ---\"\n            echo \"Command: \", cmd\n            echo \"\\n\\n\\n\"\n\n            let output = staticExec(cmd)\n            warning(output)\n            echo \"\\n\\n\\n\"\n\n            quit(0)"

optimize("""nim cpp -d:danger -d:second_compile -d:useMalloc --gc:none --panics:on --opt:speed --checks:off --passC:"-O3 -flto -m64 -march=native -ffast-math" --hints:off """)

var H,W = ii()
var A = input(H*W,uint32)
var S = newseqwith(H,uint32(0))
for i in 0..<(H):
    for j in 0..<(W):
        S[i] += A[i*W+j].uint32()
var T = S.sum()
S.applyit((it + T))
print(S.join("\n"))