#include <stdio.h>
#include <vector>
#include <queue>
using namespace std;
int V, E, K;
int dist[20001];
queue<int> q;
vector<pair<int, int>> edge[20001]; //index : from, first : to, second: cost
int main(){
scanf("%d %d", &V, &E);
scanf("%d", &K);
for(int i=1;i<=V;i++){
dist[i] = -1;
q.push(i);
}
dist[K] = 0;
for(int i=0;i<E;i++) {
int u, v, w;
scanf("%d %d %d", &u, &v, &w);
edge[u].push_back(make_pair(v, w));
if(u == K){
dist[v]= w;
}
}
while(!q.empty()){
int i = q.front();
q.pop();
int length = edge[i].size();
for (int j = 0; j < length; j++) {
if (dist[i] != -1) {
if(dist[edge[i][j].first]==-1){
dist[edge[i][j].first] = dist[i]+edge[i][j].second;
q.push(edge[i][j].first);
}
if (dist[i] + edge[i][j].second < dist[edge[i][j].first]) {
dist[edge[i][j].first] = dist[i] + edge[i][j].second;
q.push(edge[i][j].first);
}
}
}
}
for(int i=1;i<=V;i++){
if(dist[i]==-1){
printf("INF\n");
}
else{
printf("%d\n", dist[i]);
}
}
return 0;
}
