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struct IO { #ifdef FIO const static int BUFSIZE = 1 << 20; char buf[BUFSIZE], obuf[BUFSIZE], *p1, *p2, *pp; inline char getchar() { return (p1 == p2 && (p2 = (p1 = buf) + fread(buf, 1, BUFSIZE, stdin), p1 == p2) ? EOF : *p1++); } inline void putchar(char x) { ((pp - obuf == BUFSIZE && (fwrite(obuf, 1, BUFSIZE, stdout), pp = obuf)), *pp = x, pp++); } inline void flush() { fwrite(obuf, 1, pp - obuf, stdout); } IO() { fwrite("Warning: Macro 'FIO' has been defined, keyboard input will be ignored.\n", 1, 71, stderr); p1 = buf, p2 = buf, pp = obuf; } ~IO() { fwrite(obuf, 1, pp - obuf, stdout); } #else int (*getchar)() = &::getchar; int (*putchar)(int) = &::putchar; inline void flush() {}; #endif string sep = " "; int k = 2; template<typename Tp, typename enable_if<is_integral<Tp>::value>::type * = nullptr> inline int read(Tp &s) { int f = 1; char ch = getchar(); s = 0; while (!isdigit(ch) && ch != EOF) f = (ch == '-' ? -1 : 1), ch = getchar(); while (isdigit(ch)) s = s * 10 + (ch ^ 48), ch = getchar(); s *= f; return ch != EOF; } template<typename Tp, typename enable_if<is_floating_point<Tp>::value>::type * = nullptr> inline int read(Tp &s) { int f = 1; char ch = getchar(); s = 0; while (!isdigit(ch) && ch != EOF && ch != '.') f = (ch == '-' ? -1 : 1), ch = getchar(); while (isdigit(ch)) s = s * 10 + (ch ^ 48), ch = getchar(); if(ch == EOF) return false; if(ch == '.') { Tp eps = 0.1; ch = getchar(); while (isdigit(ch)) s = s + (ch ^ 48) * eps, ch = getchar(), eps /= 10; } s *= f; return ch != EOF; } inline int read(char &c) { char ch = getchar(); while(isspace(ch) && ch != EOF) ch = getchar(); if(ch != EOF) c = ch; return ch != EOF; } inline int read(char *c) { char ch = getchar(); while(isspace(ch) && ch != EOF) ch = getchar(); while(!isspace(ch) && ch != EOF) *(c++) = ch, ch = getchar(); return ch != EOF; } inline int read(string &s) { s.clear(); char ch = getchar(); while(isspace(ch) && ch != EOF) ch = getchar(); while(!isspace(ch) && ch != EOF) s += ch, ch = getchar(); return ch != EOF; } inline int getline(char *c, const char &ed = '\n') { char ch = getchar(); while(ch != ed && ch != EOF) *(c++) = ch, ch = getchar(); return ch != EOF; } inline int getline(string &s, const char &ed = '\n') { s.clear(); char ch = getchar(); while(ch != ed && ch != EOF) s += ch, ch = getchar(); return ch != EOF; } template<typename Tp = int> inline Tp read() { Tp x; read(x); return x; } template<typename Tp, typename... Ts> int read(Tp &x, Ts &...val) { return read(x) && read(val...); } template<typename Tp, typename enable_if<is_integral<Tp>::value>::type * = nullptr> IO & write(Tp x) { if (x < 0) putchar('-'), x = -x; static char sta[20]; int top = 0; do sta[top++] = x % 10 + '0', x /= 10; while (x); while (top) putchar(sta[--top]); return *this; } inline IO &write(const string &str) { for(char ch : str) putchar(ch); return *this; } inline IO &write(const char *str) { while(*str != '\0') putchar(*(str++)); return *this; } inline IO &write(char *str) { return write((const char *)str); } inline IO &write(const char &ch) { return putchar(ch), *this; } template<typename Tp, typename enable_if<is_floating_point<Tp>::value>::type * = nullptr>inline IO & write(Tp x) { const static long long pow10[] = {1, 10, 100, 1000, 10000, 100000, 1000000, 10000000, 100000000, 1000000000, 10000000000, 100000000000, 1000000000000, 10000000000000, 100000000000000, 1000000000000000, 10000000000000000, 100000000000000000, 100000000000000000, 100000000000000000}; const auto &n = pow10[k]; if(x == 0) { putchar('0'), putchar('.'); for(int i = 1; i <= k; ++i) putchar('0'); return *this; } if(x < 0) putchar('-'), x = -x; long long d = (long long)(x + 1e-12), y = (long long)(x * n + 0.5); write(d), putchar('.'); static char sta[20]; int top = 0; for(; top < k; y /= 10) sta[top++] = y % 10 ^ 48; while(top) putchar(sta[--top]); return*this; } template<typename Tp, typename... Ts> inline IO &write(Tp x, Ts... val) { write(x); write(sep); write(val...); return *this; } template<typename... Ts> inline IO &writeln(Ts... val) { write(val...); putchar('\n'); return *this; } inline IO &writeln(void) { putchar('\n'); return *this; } template<typename Tp> inline IO &writeWith(Tp x, const string &s) { write(x), write(s); return *this; } inline IO &setsep(const string &s) { return sep = s, *this; } inline IO &setprecision(const int &K) { return k = K, *this; } } io;
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