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#include <iostream>
#include <fstream>
#include <vector>
#include <deque>
#include <string.h>
#include <queue>
#include <bits/stdc++.h>
#define dMAX 50000
#define INF 999999999
using namespace std;
int n, m, x, y, c;
vector<pair<int, int> > graf[dMAX + 2];
bool viz[dMAX + 2];
int dij[dMAX + 2], t, len, s;
char nr[30];
struct Compare{
bool operator() (int e1, int e2) {
return dij[e1] > dij[e2];
}
};
priority_queue<int, vector<int>, Compare> myDeque;
int pVerif, newV;
ifstream fin("dijkstra.in");
ofstream fout("dijkstra.out");
int Nr(int &i) {
t = 0;
while (isdigit(nr[i])) {
t *= 10;
t += (int)nr[i] - '0';
i++;
}
i++;
return t;
}
int main()
{
int i, j;
fin >> n >> m;
fin.get();
for (j = 1; j <= m; j++) {
fin.getline(nr, 30);
i = 0;
x = Nr(i);
y = Nr(i);
c = Nr(i);
graf[x].push_back({y, c});
if (j <= n)
dij[j] = INF;
}
i = j;
for (; i <= n; i++) dij[i] = INF;
dij[1] = 0;
viz[1] = true;
myDeque.push(1);
while (!myDeque.empty()) {
pVerif = myDeque.top();
viz[pVerif] = false;
myDeque.pop();
s = graf[pVerif].size();
for (i = 0; i < s; i++) {
newV = graf[pVerif][i].first;
if (dij[pVerif] + graf[pVerif][i].second < dij[newV]) {
dij[newV] = dij[pVerif] + graf[pVerif][i].second;
if (!viz[pVerif]) {
myDeque.push(newV);
viz[newV] = true;
}
}
}
}
for (i = 2; i <= n; i++) {
if (dij[i] != INF)
fout << dij[i] << ' ';
else fout << 0 << ' ';
}
return 0;
}