Problem:
Score : 100 points

Problem Statement

There are N items, numbered 1, 2, \ldots, N.
For each i (1 \leq i \leq N), Item i has a weight of w_i and a value of v_i.

Taro has decided to choose some of the N items and carry them home in a knapsack.
The capacity of the knapsack is W, which means that the sum of the weights of items taken must be at most W.

Find the maximum possible sum of the values of items that Taro takes home.

Constraints

All values in input are integers.

1 \leq N \leq 100

1 \leq W \leq 10^9

1 \leq w_i \leq W

1 \leq v_i \leq 10^3

Input

Input is given from Standard Input in the following format:

N W
w_1 v_1
w_2 v_2
:
w_N v_N

Output

Print the maximum possible sum of the values of items that Taro takes home.

Sample Input 1

3 8
3 30
4 50
5 60

Sample Output 1

90

Items 1 and 3 should be taken.
Then, the sum of the weights is 3 + 5 = 8, and the sum of the values is 30 + 60 = 90.

Sample Input 2

1 1000000000
1000000000 10

Sample Output 2

10

Sample Input 3

6 15
6 5
5 6
6 4
6 6
3 5
7 2

Sample Output 3

17

Items 2, 4 and 5 should be taken.
Then, the sum of the weights is 5 + 6 + 3 = 14, and the sum of the values is 6 + 6 + 5 = 17.

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Collections.Generic;//list用
using System.Text;//StringBuilder用
using System.Collections;
using System.Linq;
class Program
{
    static List<int> s = new List<int>();
      static List<int> v = new List<int>();
      static List<int> w = new List<int>();
    static decimal result;
static Hashtable ht=new Hashtable();
static StringBuilder sb = new StringBuilder();
static int N,M,K;
static long[,] table;
    static void Main()
    {
Read4();
      Read5();
decimal[] check=new decimal[100001];//現在価値を軸に考える。
      for(int i=0;i<=100000;i++){check[i]=K+1;}
      check[0]=0;
      for(int i=0;i<N;i++){
for(int j=100000-v[i];j>=0;j--){
if(check[j+v[i]]>check[j]+w[i]){check[j+v[i]]=check[j]+w[i];}
}
}
      for(int i=0;i<=100000;i++){if(check[i]<K){result=Math.Max(result,i);}}
      
                    Console.WriteLine(result.ToString());
    }


    static void Read1()//1項
    {
        string tmp = Console.ReadLine();
        N = int.Parse(tmp);
    }
 
    static void Read2()//複数項（項目数Ｎ）
    {
        string[] tmp = Console.ReadLine().Split(' ');
        for (int i = 0; i < N; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read3()//1行複数項
   {
       string[] tmp = Console.ReadLine().Split(' ');
       for (int i = 0; i < tmp.Length; i++) { s.Add(int.Parse(tmp[i])); }
    }
    static void Read4()//NK１行
    {
        string[] tmp = Console.ReadLine().Split(' ');
       N = int.Parse(tmp[0]);
       K = int.Parse(tmp[1])+1;
    }
    static void Read5()//N行K項
    {
for(int i=0;i<N;i++){
       string[] tmp = Console.ReadLine().Split(' ');
       w.Add(int.Parse(tmp[0]));
       v.Add(int.Parse(tmp[1]));
}
    }
}