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#include <iostream>
#include <stdio.h>
#include <vector>
#define NMAX 18
#define INFINIT 1000000000
using namespace std;
struct muchie {
int to ;
int cost ;
};
int mat [ NMAX + 1 ] [ NMAX + 1 ] ;
int d [ 1 << (NMAX+1)] [ NMAX + 1 ] ;
vector <int> g [ NMAX + 1 ] ;
class InParser {
private:
FILE *fin;
char *buff;
int sp;
char read_ch() {
++sp;
if (sp == 4096) {
sp = 0;
fread(buff, 1, 4096, fin);
}
return buff[sp];
}
public:
InParser(const char* nume) {
fin = fopen(nume, "r");
buff = new char[4096]();
sp = 4095;
}
InParser& operator >> (int &n) {
char c;
while (!isdigit(c = read_ch()) && c != '-');
int sgn = 1;
if (c == '-') {
n = 0;
sgn = -1;
} else {
n = c - '0';
}
while (isdigit(c = read_ch())) {
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
InParser& operator >> (long long &n) {
char c;
n = 0;
while (!isdigit(c = read_ch()) && c != '-');
long long sgn = 1;
if (c == '-') {
n = 0;
sgn = -1;
} else {
n = c - '0';
}
while (isdigit(c = read_ch())) {
n = 10 * n + c - '0';
}
n *= sgn;
return *this;
}
};
class OutParser {
private:
FILE *fout;
char *buff;
int sp;
void write_ch(char ch) {
if (sp == 50000) {
fwrite(buff, 1, 50000, fout);
sp = 0;
buff[sp++] = ch;
} else {
buff[sp++] = ch;
}
}
public:
OutParser(const char* name) {
fout = fopen(name, "w");
buff = new char[50000]();
sp = 0;
}
~OutParser() {
fwrite(buff, 1, sp, fout);
fclose(fout);
}
OutParser& operator << (int vu32) {
if (vu32 <= 9) {
write_ch(vu32 + '0');
} else {
(*this) << (vu32 / 10);
write_ch(vu32 % 10 + '0');
}
return *this;
}
OutParser& operator << (long long vu64) {
if (vu64 <= 9) {
write_ch(vu64 + '0');
} else {
(*this) << (vu64 / 10);
write_ch(vu64 % 10 + '0');
}
return *this;
}
OutParser& operator << (char ch) {
write_ch(ch);
return *this;
}
OutParser& operator << (const char *ch) {
while (*ch) {
write_ch(*ch);
++ch;
}
return *this;
}
};
int main() {
InParser fin("hamilton.in") ;
OutParser fout("hamilton.out") ;
int n, m, i, u, v, cost, j, minim, mask, nod ;
fin >> n >> m ;
for (i = 0 ; i < n ; ++i ) {
for (j = 0 ; j < n ; ++j )
mat[i][j] = INFINIT ;
}
for (i = 0 ; i < m ; ++i ) {
fin >> u >> v >> cost ;
mat[u][v] = cost ; /// muchiile invers
g[v].push_back(u) ;
}
for (i = 0 ; i < (1 << n) ; ++i ) {
for (j = 0 ; j < n ; ++j )
d[i][j] = INFINIT ;
}
minim = INFINIT ;
d[1][0] = 0 ;
for (mask = 0 ; mask < 1 << n ; ++mask ) {
for (nod = 0 ; nod < n ; ++nod ) {
for (auto elem : g[nod] ) {
if (mask & (1 << elem)) {
if (!(mask != (1 << nod) + 1 && mat[0][elem] == 0 ) )
d[mask][nod] = std::min(d[mask][nod], d[mask ^ (1 << nod)][elem] + mat[elem][nod]) ;
}
}
}
}
for (auto elem : g[0] )
minim = std::min(minim, d[(1 << n) - 1][elem] + mat[elem][0] ) ;
if (minim == INFINIT )
fout << "Nu exista solutie" ;
else
fout << minim ;
return 0;
}