using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
static class Program{
	const int mod=(int)1e9+7;
	static List<Tuple<int,int>>[] li;
	static bool[] b;
	static string[] h;
	static void Main(){
		Sc sc=new Sc();
		int[] s=sc.Ia;
		int n=s[0],m=s[1];
		li=new List<Tuple<int,int>>[n+1];
		b=new bool[n];
		h=new string[n];
		for(int i=0;i<n;i++){li[i]=new List<Tuple<int,int>>();h[i]="INF";}
		for(int i=0;i<m;i++){
			int[] e=sc.Ia;
			li[e[0]].Add(Tuple.Create(e[1],e[2]));
		}
		var pq=new Pq<Mo<int>>(32,true);
		pq.Push(new Mo<int>(0,s[2]));
		while(pq.cnt>0){
			var e=pq.Top;
			pq.Pop();
			if(b[e.d]){continue;}
			b[e.d]=true;
			h[e.d]=e.n.ToString();
			for(int j=0;j<li[e.d].Count;j++){
				if(!b[li[e.d][j].Item1]){pq.Push(new Mo<int>(e.n+li[e.d][j].Item2,li[e.d][j].Item1));}
			}
		}
		Console.WriteLine(String.Join("\n",h));
	}
}
public class Mo<T>:IComparable{
	public int n;
	public T d;
	public Mo(int n,T d){this.n=n;this.d=d;}
	public int CompareTo(object obj){
		Mo<T> mymo=(Mo<T>)obj;
		if(mymo.n>n){return -1;}
		else if(mymo.n<n){return 1;}
		else{return 0;}
	}
}
public class Pq<T> where T:IComparable{
	private T[] he;
	public int cnt=0,max=0;
	private Func<T,T,int> compare;
	public Pq(int max,bool mm){
		this.max=max;
		he=new T[max];
		if(mm){compare=Ao;}
		else{compare=Do;}
	}
	public void Push(T x){
		if(cnt==max){Extend();}
		int j=cnt;
		while(j!=0&&compare(x,he[(j-1)>>1])>0){he[j]=he[(j-1)>>1];j=(j-1)>>1;}
		he[j]=x;
		cnt++;
	}
	public void Pop(){
		cnt--;
		T r=he[cnt];
		int j=0;
		while(true){
			if(j*2+1<cnt){
				if(compare(he[j*2+1],he[j*2+2])>0){j=j*2+1;}
				else{j=j*2+2;}
			}
			else if(j*2<cnt){j=j*2+1;}
			else{break;}
			if(compare(he[j],r)<=0){j=(j-1)>>1;break;}
			he[(j-1)>>1]=he[j];
		}
		he[j]=r;
	}
	private int Ao(T x,T y){return y.CompareTo(x);}
	private int Do(T x,T y){return x.CompareTo(y);}
	public T Top{get{return he[0];}}
	private void Extend(){
		T[] nhe=new T[max<<1];
		Array.Copy(he,nhe,max);
		he=nhe;
		max<<=1;
	}
}


public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),int.Parse);}
	public int[] Ia3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),long.Parse);}
	public long[] La3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),long.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
}



Measured memory_bytes: 62004