using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;

namespace GPL1A{
    public class Program{
        public static void Main(string[] args){
            var sr = new StreamReader();
            //---------------------------------
            var V = sr.Next<int>();
            var E = sr.Next<int>();
            var R = sr.Next<int>();

            var adj = new List<Edge>[V];
            for(var i = 0; i < V; i++){
                adj[i] = new List<Edge>();
            }

            for(var i = 0; i < E; i++){
                var S = sr.Next<int>();
                var T = sr.Next<int>();
                var W = sr.Next<int>();

                adj[S].Add(new Edge {To = T, Cost = W});
                //adj[T].Add(new Edge {To = S, Cost = W});
            }

            var used = new bool[V];
            var dist = new int[V];
            for(var i = 0; i < V; i++) dist[i] = int.MaxValue;
            dist[R] = 0;

            var pq = new PriorityQueue<Stat>();
            pq.Enqueue(new Stat{Num = R, Cost = 0});

            while(pq.Count > 0){
                var stat = pq.Dequeue();
                var num = stat.Num;
                used[num] = true;

                foreach(var edge in adj[num]){
                    var to = edge.To;
                    var cost = stat.Cost +  edge.Cost;

                    if(used[to]) continue;
                    if(cost > dist[to]) continue;
                    dist[to] = cost;
                    pq.Enqueue(new Stat{Num = to, Cost = cost});
                }
            }

            foreach(var d in dist){
                Console.WriteLine(d != int.MaxValue ? d.ToString() : "INF");
            }
            //---------------------------------
        }
    }

    public class Edge{
        public int To;
        public int Cost;
    }

    public class Stat : IComparable<Stat>{
        public int Num;
        public int Cost;

        public int CompareTo(Stat stat){
            return Cost - stat.Cost;
        }
    }

    public class PriorityQueue<T> : IEnumerable<T> where T : IComparable<T>{
        private readonly List<T> _list = new List<T>();

        public int Count{
            get { return _list.Count; }
        }

        IEnumerator<T> IEnumerable<T>.GetEnumerator(){
            return _list.GetEnumerator();
        }

        IEnumerator IEnumerable.GetEnumerator(){
            return _list.GetEnumerator();
        }

        public void Clear(){
            _list.Clear();
        }

        public bool Contains(T value){
            return _list.Contains(value);
        }

        public T Peek(){
            return _list[0];
        }

        public void Enqueue(T value){
            _list.Add(value);
            PushHeap();
        }

        public T Dequeue(){
            var ret = _list[0];
            _list[0] = _list[Count - 1];
            _list.RemoveAt(Count - 1);
            PopHeap();
            return ret;
        }

        private void PushHeap(){
            var i = Count - 1;
            while(i != 0){
                var p = (i - 1) / 2;
                if(_list[i].CompareTo(_list[p]) > 0) return;

                SwapIndex(i, i = p);
            }
        }

        private void PopHeap(){
            var i = 0;
            while(true){
                var l = 2 * i + 1;
                var r = l + 1;

                var maxi = i;
                if(l < Count && _list[maxi].CompareTo(_list[l]) > 0) maxi = l;
                if(r < Count && _list[maxi].CompareTo(_list[r]) > 0) maxi = r;
                if(maxi == i) return;

                SwapIndex(i, i = maxi);
            }
        }

        private void SwapIndex(int left, int right){
            var tmp = _list[left];
            _list[left] = _list[right];
            _list[right] = tmp;
        }
    }

    public class StreamReader{
        private readonly char[] _c = {' '};
        private int _index = -1;
        private string[] _input = new string[0];

        public T Next<T>(){
            if(_index == _input.Length - 1){
                _index = -1;
                while(true){
                    string rl = Console.ReadLine();
                    if(rl == null){
                        if(typeof(T).IsClass) return default(T);
                        return (T)typeof(T).GetField("MinValue").GetValue(null);
                    }
                    if(rl != ""){
                        _input = rl.Split(_c, StringSplitOptions.RemoveEmptyEntries);
                        break;
                    }
                }
            }
            return (T)Convert.ChangeType(_input[++_index], typeof(T), System.Globalization.CultureInfo.InvariantCulture);
        }

        public T[] Next<T>(int x){
            var ret = new T[x];
            for(var i = 0; i < x; ++i) ret[i] = Next<T>();
            return ret;
        }

        public T[][] Next<T>(int y, int x){
            var ret = new T[y][];
            for(var i = 0; i < y; ++i) ret[i] = Next<T>(x);
            return ret;
        }
    }
}

Measured memory_bytes: 46464