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#include <iostream>
#include <fstream>
#include <vector>
#include <bitset>
#include <queue>
using namespace std;
#define MAX_N 50010
#define INF 0x7FFFFFFF
/**
`-.`'.-'
`-. .-'.
`-. -./\.- .-'
-. /_|\ .-
`-. `/____\' .-'.
`-. -./.-""-.\.- '
`-. /< (()) >\ .-'
- .`/__`-..-'__\' .-
,...`-./___|____|___\.-'.,.
,-' ,` . . ', `-,
,-' ________________ `-,
,'/____|_____|_____\
/ /__|_____|_____|___\
/ /|_____|_____|_____|_\
' /____|_____|_____|_____\
.' /__|_____|_____|_____|___\
,' /|_____|_____|_____|_____|_\
,,---''--...___...--'''--.. /../____|_____|_____|_____|_____\ ..--```--...___...--``---,,
'../__|_____|_____|_____|_____|___\
\ ) '.:/|_____|_____|_____|_____|_____|_\ ( /
)\ / ) ,':./____|_____|_____|_____|_____|_____\ ( \ /(
/ / ( ( /:../__|_____|_____|_____|_____|_____|___\ ) ) \ \
| | \ \ /.../|_____|_____|_____|_____|_____|_____|_\ / / | |
.-.\ \ \ \ '..:/____|_____|_____|_____|_____|_____|_____\ / / / /.-.
(= )\ `._.' | \:./ _ _ ___ ____ ____ _ _ _ _ _ _ _ __\ | `._.' /( =)
\ (_) ) \/ \ ( (_) /
\ `----' """""""""""""""""""""""""""""""""""""""""""""" `----' /
\ ____\__ __/____ /
\ (=\ \ / /-) /
\_)_\ \ / /_(_/
\ \ / /
) ) _ _ ( (
( (,-' `-..__ __..-' `-,) )
\_.-'' ``-..____ ____..-'' ``-._/
`-._ ``--...____...--'' _.-'
`-.._ _..-'
`-..__ FORTIS FORTUNA ADIUVAT __..-'
``-..____ ____..-''
``--...____...--''
*/
class parser{
public:
parser() {}
parser(const char *file_name){
input_file.open(file_name,ios::in | ios::binary);
input_file.sync_with_stdio(false);
index&=0;
input_file.read(buffer,SIZE);}
inline parser &operator >>(int &n){
for (;buffer[index]<'0' or buffer[index]>'9';inc());
n&=0;
sign&=0;
sign|=(buffer[index-1]=='-');
for (;'0'<=buffer[index] and buffer[index]<='9';inc())
n=10*n+buffer[index]-'0';
n^=((n^-n)&-sign);
return *this;}
~parser(){
input_file.close();}
private:
fstream input_file;
static const int SIZE=0x400000; ///4MB
char buffer[SIZE];
int index,sign;
inline void inc(){
if(++index==SIZE)
index=0,input_file.read(buffer,SIZE);}
};
class writer{
public:
writer() {};
writer(const char *file_name){
output_file.open(file_name,ios::out | ios::binary);
output_file.sync_with_stdio(false);
index&=0;}
inline writer &operator <<(int target){
aux&=0;
sign=1;
if (target<0)
sign=-1;
n=target;
if (n==0)
nr[aux++]='0';
for (;n;n/=10)
nr[aux++]=(sign*n)%10+'0';
if (sign==-1)
buffer[index]='-',inc();
for(;aux;inc())
buffer[index]=nr[--aux];
return *this;}
inline writer &operator <<(const char *target){
aux&=0;
while (target[aux])
buffer[index]=target[aux++],inc();
return *this;}
~writer(){
output_file.write(buffer,index);output_file.close();}
private:
fstream output_file;
static const int SIZE=0x200000; ///2MB
int index,aux,n,sign;
char buffer[SIZE],nr[24];
inline void inc(){
if(++index==SIZE)
index&=0,output_file.write(buffer,SIZE);}
};
parser f ("bellmanford.in");
writer t ("bellmanford.out");
/*
void bellman_ford (int nod){
queue <int> q;
bitset <MAX_N> in_queue;
dist[nod]=0;
q.push(nod);
in_queue[nod]=1;
while (!q.empty() and !cycle){
int x=q.front();
q.pop();
in_queue[x]=0;
for (auto i:v[x])
if (dist[x]<INF)
if (dist[i.first]>dist[x]+i.second) {
dist[i.first]=dist[x]+i.second;
if (!in_queue[i.first])
if (counter[i.first]>n)
cycle=true;
else{
q.push(i.first);
in_queue[i.first]=1;
++counter[i.first];
}
}
}
}
*/
int main() {
int n, m;
bool negative;
vector <pair <int, int> > graph[MAX_N];
vector <int> distance(MAX_N);
auto bellman_ford = [&, distance, graph, n, negative]
(const unsigned& start) mutable {
bitset<MAX_N> in_queue(n);
std::vector<unsigned> relaxations(n);
std::queue<unsigned> q;
for (auto& iterator : distance) {
iterator = INF;
}
q.push(start);
in_queue[start] = true;
distance[start] = 0;
while (!q.empty()) {
auto current = q.front();
q.pop();
in_queue[current] = false;
for (auto iterator : graph[current]) {
if (distance[current] + iterator.second < distance[iterator.first]) {
if (++relaxations[iterator.first] == n) {
negative = true;
return;
}
else {
if (!in_queue[iterator.second])
q.push(iterator.first);
distance[iterator.first] = distance[current] + iterator.second;
}
}
}
}
};
f >> n >> m;
for (int x, y, c, i = 0; i < m; ++i){
f >> x >> y >> c;
graph[x].push_back({y, c});
}
bellman_ford(1);
if (!negative)
for (int i = 2; i <= n; ++i)
t << distance[i] << " ";
else
t << "Ciclu negativ!";
return 0;
}