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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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