Problem:
Single Source Shortest Path (Negative Edges)

Input

An edge-weighted graph G (V, E) and the source r.

|V| |E| r
s0 t0 d0
s1 t1 d1
:
s|E|-1 t|E|-1 d|E|-1

|V| is the number of vertices and |E| is the number of edges in G. The graph vertices are named with the numbers 0, 1,..., |V|-1 respectively. r is the source of the graph.

si and ti represent source and target vertices of i-th edge (directed) and di represents the cost of the i-th edge.

Output

If the graph contains a negative cycle (a cycle whose sum of edge costs is a negative value) which is reachable from the source r, print

NEGATIVE CYCLE

in a line.

Otherwise, print

c0
c1
:
c|V|-1

The output consists of |V| lines. Print the cost of the shortest path from the source r to each vertex 0, 1, ... |V|-1 in order. If there is no path from the source to a vertex, print "INF".

Constraints

1 ≤ |V| ≤ 1000

0 ≤ |E| ≤ 2000

-10000 ≤ di ≤ 10000

There are no parallel edges

There are no self-loops

Sample Input 1

4 5 0
0 1 2
0 2 3
1 2 -5
1 3 1
2 3 2

Sample Output 1

0
2
-3
-1

Sample Input 2

4 6 0
0 1 2
0 2 3
1 2 -5
1 3 1
2 3 2
3 1 0

Sample Output 2

NEGATIVE CYCLE

Sample Input 3

4 5 1
0 1 2
0 2 3
1 2 -5
1 3 1
2 3 2

Sample Output 3

INF
0
-5
-3

Solution in C# (judge verdict: Time Limit Exceeded)

#region ZIPPER
using System;
using System.Collections.Generic;
using System.Collections;
using System.Linq;
using System.Text;
using sc = Scanner;
using ci = CharInterpreter;
//using System.Numerics;
//using Geometry;
//using gl = Geometry.GeometryLibrary;
using grl = GraphLibrary;
class Program
{
    static void Main(string[] args)
    {
        Solver solver = new Solver();
        solver.Solve();
#if DEBUG
        System.Console.WriteLine("?¶?????????????????????????????????????????????????????????????");
        System.Console.ReadKey();
#endif

    }
}
/// <summary>
/// ?¨??????\????????????????????´???????????????????????????????????????
/// </summary>

#endregion ZIPPER

public class Solver
{
    #region IGNORE_ME
    public Solver()
    {
        //???????????¨?????????????????????????????????????????????
    }
    #endregion IGNORE_ME

    public int MOD = 1000000007;//10^9 + 7

    public void Solve()
    {
        int v = sc.NextInt();
        int e = sc.NextInt();
        int r = sc.NextInt();
        grl.Edge[] ed = new grl.Edge[e];
        for (int i = 0; i < e; i++)
        {
            int[] tmp = sc.NextIntArray();
            ed[i] = new grl.Edge(tmp[0], tmp[1], tmp[2]);
        }
        if (grl.CanIgnoreNegativeLoop(v,r,ed))
        {
            Console.WriteLine("NEGATIVE CYCLE");
        }
        int[] ds = grl.BellmanFord(v, r, ed);
        for (int i = 0; i < ds.Length; i++)
        {
            Console.WriteLine(ds[i] != int.MaxValue ? ""+ds[i] : "INF");
        }
#if DEBUG
        Console.WriteLine("");//local check
#endif
    }


}

public static class GraphLibrary
{
    public struct Edge
    {
        public int From;
        public int To;
        public int Cost;

        public Edge(int from, int to, int cost)
        {
            this.From = from;
            this.To = to;
            this.Cost = cost;
        }
    }

    public class Graph
    {
        public List<Edge>[] G;
        /// <summary>
        /// ?????????????????????????????? 0 ~ v-1;
        /// </summary>
        /// <param name="v">????????°</param>
        public Graph(int v)
        {
            G = new List<Edge>[v];
            for (int i = 0; i < G.Length; i++)
            {
                G[i] = new List<Edge>();
            }
        }

        public void AddEdge(Edge edge)
        {
            G[edge.From].Add(edge);
        }
    }

    #region UTILITY
    static bool IsInfinity(int a)
    {
        return a == int.MaxValue;
    }  
    #endregion UTILITY

    /// <summary>
    /// ???????????????????±???????
    /// </summary>
    /// <param name="v">????????°</param>
    /// <param name="s">?§???? 0 ~ v-1</param>
    /// <param name="ed">???????????±</param>
    /// <returns>d[i]: s??????i?????????????????????</returns>
    public static int[] BellmanFord(int v, int s, Edge[] ed)
    {
        int[] d = new int[v];
        for (int i = 0; i < v; i++) d[i] = int.MaxValue;
        d[s] = 0;
        while (true)
        {
            bool update = false;

            for (int i = 0; i < ed.Length; i++)
            {
                Edge e = ed[i];
                if (!IsInfinity(d[e.From]) && !IsInfinity(e.Cost) && d[e.To] > d[e.From] + e.Cost)
                {
                    d[e.To] = d[e.From] + e.Cost;
                    update = true;
                }
            }
            if (!update) break;
        }
        return d;
    }
    /// <summary>
    /// ????????????????????¨??????????????????
    /// </summary>
    /// <param name="v">???????????°</param>
    /// <param name="ed">????????????</param>
    /// <returns>????????????????????¨??????????????????</returns>
    public static bool DoesHaveNegativeLoop(int v, Edge[] ed)
    {
        int[] d = new int[v];

            for (int i = 0; i < v; i++)
            {
                for (int j = 0; j < ed.Length; j++)
                {
                    Edge e = ed[j];
                    if (d[e.To] > d[e.From] + e.Cost)
                    {
                        d[e.To] = d[e.From] + e.Cost;
                        if (i == v - 1) return true;//??????????????´??°????????£??????????????????????????????
                    }
                }
            }
            return false;
    }
    /// <summary>
    /// ???????????????????????´??????????????§??????????????????
    /// </summary>
    /// <param name="v"></param>
    /// <param name="s"></param>
    /// <param name="ed"></param>
    /// <returns></returns>
    public static bool CanIgnoreNegativeLoop(int v, int s, Edge[] ed)
    {
        Edge[] connectedNodesChecker = new Edge[ed.Length];
        for (int i = 0; i < ed.Length; i++)
        {
            connectedNodesChecker[i] = new Edge(ed[i].From, ed[i].To, 1);
        }
        int[] d = BellmanFord(v, s, connectedNodesChecker);
        HashSet<int> canReachNodesFromS = new HashSet<int>();
        for (int i = 0; i < v; i++)
            if (!IsInfinity(d[i]))canReachNodesFromS.Add(i);
        for (int i = 0; i < ed.Length; i++)
            if (canReachNodesFromS.Contains(ed[i].From)) connectedNodesChecker[i].Cost = ed[i].Cost;
        return DoesHaveNegativeLoop(v,connectedNodesChecker);

    }
    /// <summary>
    /// ???????????????????±???????
    /// </summary>
    /// <param name="graph">????¬?????????????</param>
    /// <returns>d[i][j]]: i??????j?????????????????????</returns>
    public static int[][] WarshallFloyd(int[][] graph)
    {
        int[][] d = new int[graph.Length][];
        for (int i = 0; i < d.Length; i++) d[i] = new int[graph[0].Length];
        for (int k = 0; k < graph.Length; k++)
        {
            for (int i = 0; i < graph.Length; i++)
            {
                for (int j = 0; j < graph.Length; j++)
                {
                    if (!IsInfinity(d[i][k]) && !IsInfinity(d[k][j]))
                    {
                        d[i][j] = Math.Min(d[i][j], d[i][k] + d[k][j]);
                    }
                }
            }
        }
        return d;
    }

    /// <summary>
    /// ??£????????°?????????????°???¨?????¨????±???????
    /// </summary>
    /// <param name="v">???????????°</param>
    /// <param name="ed">???????????? to, from ????°??????????????????????</param>
    /// <returns>????°???¨?????¨?????????</returns>
    public static int Kruskal(int v, Edge[] ed)
    {
        Array.Sort(ed, (a, b) => { return a.Cost - b.Cost; });
        UnionFindTree uf = new UnionFindTree(v);
        int res = 0;
        for (int i = 0; i < ed.Length; i++)
        {
            Edge e = ed[i];
            if (!uf.Same(e.To, e.From))
            {
                uf.Unite(e.To, e.From);
                res += e.Cost;
            }
        }
        return res;
    }

    #region SUPPORT_INNER_CLASS
    /// <summary>
    /// ??????????????????????????????????????????????????????????????\???
    /// ?????????????????????
    /// </summary>
     class PriorityQueueForGL
    {
        int[] array;
        int count = 0;
        Comparison<int> comparison;

        // <param name="comparison">int????????????????????????????????????????????????, (a,b)?????¨????????????int??? a_int - b_int (a > b) ??????????????????????????????</param>
        public void SetOptionData(Comparison<int> comparison, int MaxCount)
        {
            this.comparison = comparison;
            array = new int[MaxCount];
            count = 0;
        }

        /// <summary>
        /// ???????????????????????????????????????????????°??????????´???????????????????
        /// </summary>
        /// <param name="array">????±???????????????????</param>
        private void PushHeap(int elem)
        {
            int n = count;
            count++;
            array[n] = elem;
            while (n != 0)
            {
                int i = (n - 1) / 2;
                // ?????¨????????\?????????
                if (comparison(array[n], array[i]) < 0)
                {
                    int tmp = array[n]; array[n] = array[i]; array[i] = tmp;
                }
                n = i;
            }
        }

        /// <summary>
        /// ????????????????????????????????????????????????
        /// </summary>
        /// <param name="array">????±???????????????????</param>
        private int PopHeap()
        {
            if (count == 0)
                throw new IndexOutOfRangeException("????´????0????????\??????????´?????????????????????????????????????????????????");
            int n = count - 1;
            int returnItem = (int)array[0];
            array[0] = array[n];
            array[n] = 0;
            count--;
            for (int i = 0, j; (j = 2 * i + 1) < n; )
            {
                // ????????§???????????????????????¶
                if ((j != n - 1) && (comparison((int)array[j], (int)array[j + 1]) > 0))
                    j++;
                // ?????¨????????\?????????
                if (comparison((int)array[i], (int)array[j]) > 0)
                {
                    int tmp = (int)array[j]; array[j] = array[i]; array[i] = tmp;
                }
                i = j;
            }
            return returnItem;
        }

        /// <summary>
        /// ????´???????????????\???
        /// </summary>
        /// <param name="elem">?????\?????????????´?</param>
        public void Push(int elem)
        {
            PushHeap(elem);
        }


        /// <summary>
        /// ????´??????????????????????????????????????????¬????????§????????????????¶???????
        /// </summary>
        /// <returns></returns>
        public int Pop()
        {
            return PopHeap();
        }

        /// <summary>
        /// ????´??????¨????¶??????????
        /// </summary>
        public void Clear()
        {
            for (int i = 0; i < array.Length; i++) array[i] = 0;
        }
    }
     
    /// <summary>
    /// UF??¨????????¬??????
    /// </summary>
    class UnionFindTree
    {
        int[] Par;
        int[] Rank;
        /// <summary>
        /// n???????´???°???????????????UF??¨
        /// </summary>
        /// <param name="n"></param>
        public UnionFindTree(int n)
        {
            this.Par = new int[n];
            this.Rank = new int[n];
            for (int i = 0; i < n; i++)
            {
                Par[i] = i;
            }
        }
        /// <summary>
        /// ??¨??????????±???????
        /// </summary>
        /// <param name="x"></param>
        /// <returns></returns>
        private int Find(int x)
        {
            if (Par[x] == x)
                return x;
            else
            {
                Par[x] = Find(Par[x]);
                return Par[x];
            }
        }
        /// <summary>
        /// x??¨y????±??????????????????????
        /// </summary>
        /// <param name="x"></param>
        /// <param name="y"></param>
        public void Unite(int x, int y)
        {
            x = Find(x);
            y = Find(y);
            if (x == y) return;
            if (Rank[x] < Rank[y])
            {
                Par[x] = y;
            }
            else
            {
                Par[y] = x;
                if (Rank[x] == Rank[y]) Rank[x]++;
            }
        }
        /// <summary>
        /// x??¨y???????????????????±????????????????
        /// </summary>
        /// <param name="x"></param>
        /// <param name="y"></param>
        /// <returns></returns>
        public bool Same(int x, int y)
        {
            return Find(x) == Find(y);
        }
    }

    #endregion SUPPORT_INNER_CLASS
}

public static class Scanner
{
    public static string NextString()
    {
        string tmp = "";
        while (true)
        {
            int readData;
            string data;
            readData = Console.Read();
            if (readData == -1) //EOF
            {
                break;
            }
            data = char.ConvertFromUtf32(readData);
            if (data == " " || data == "\n")
            {
                break;
            }
            tmp += data;
        }
        return tmp;
    }
    public static int NextInt()
    {
        string tmp = "";
        while (true)
        {
            int readData;
            string data;
            readData = Console.Read();
            if (readData == -1) //EOF
            {
                break;
            }
            data = char.ConvertFromUtf32(readData);
            if (data == " " || data == "\n")
            {
                break;
            }
            tmp += data;
        }
        return int.Parse(tmp);
    }
    public static long NextLong()
    {
        string tmp = "";
        while (true)
        {
            int readData;
            string data;
            readData = Console.Read();
            if (readData == -1) //EOF
            {
                break;
            }
            data = char.ConvertFromUtf32(readData);
            if (data == " " || data == "\n")
            {
                break;
            }
            tmp += data;
        }
        return long.Parse(tmp);
    }
    public static double NextDouble()
    {
        string tmp = "";
        while (true)
        {
            int readData;
            string data;
            readData = Console.Read();
            if (readData == -1) //EOF
            {
                break;
            }
            data = char.ConvertFromUtf32(readData);
            if (data == " " || data == "\n")
            {
                break;
            }
            tmp += data;
        }
        return double.Parse(tmp);
    }

    public static string[] NextStrArray()
    {
        return Console.ReadLine().Split(' ');
    }
    public static int[] NextIntArray()
    {

        string[] s = NextStrArray();
        int[] a = new int[s.Length];
        for (int i = 0; i < a.Length; i++)
        {
            a[i] = int.Parse(s[i]);
        }
        return a;
    }
    public static long[] NextLongArray()
    {
        string[] s = NextStrArray();
        long[] a = new long[s.Length];
        for (int i = 0; i < a.Length; i++)
        {
            a[i] = long.Parse(s[i]);
        }
        return a;
    }
    public static double[] NextDoubleArray()
    {
        string[] s = NextStrArray();
        double[] a = new double[s.Length];
        for (int i = 0; i < a.Length; i++)
        {
            a[i] = double.Parse(s[i]);
        }
        return a;
    }
}
/// <summary>
/// ????¬??????°?????????????????????????????§????????????????????????????????§???
/// ????????????????????????????????¨????????????????????????
/// </summary>
public static class CharInterpreter
{
    /// <summary>
    /// ????????¨??????
    /// </summary>
    private static Dictionary<char, int> MapToInt = new Dictionary<char, int>(); 
    /// <summary>
    /// ???????????????????????????
    /// </summary>
    /// <param name="c">char??????</param>
    /// <param name="i">??????????????´??°???</param>
    public static void AddCorrespondence(char c,int i)
    {
        MapToInt.Add(c,i);
    }
    /// <summary>
    /// ?????????????????????????????????????????????
    /// ???????????????????????????????????§??¨???
    /// </summary>
    /// <returns>???????????????????????£?????´???????????°?????????</returns>
    public static int Inquiry(char c)
    {
        int ret = 0;
        MapToInt.TryGetValue(c, out ret);
        return ret;
    }
    /// <summary>
    /// ???????????????????????????????????§int[,]???????¬?????????¢???????????????
    /// ????????¢??????????????´?????????????????????????????????????????§??¨???
    /// </summary>
    /// <param name="field">???????????????????????????????????¨???????????§????????¨?????????????????????????????§??¨???</param>
    /// <returns> int[ field.length , field[0].length]???????????? </returns>
    public static int[,] GenerateSquareField(string[] field)
    {
        int[,] ret = new int[field.Length, field[0].Length];
        for (int i = 0; i < field.Length; i++)
        {
            for (int j = 0; j < field[0].Length; j++)
            {
                MapToInt.TryGetValue(field[i][j], out ret[i, j]);
            }
        }
        return ret;
    }
}