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++14 (GCC 5.4.1) (judge verdict: Runtime Error)


//		HYSO SERIOUS? WHY SO SERIOUS                            RIOUS? WHY SO SERIOUS? WHYSO SERIO
//		 ERIOUS? WHY SO SERIOUS ? WHY                          WHY SO SERIOUS? WHY SOSERIOUSWHYS
//		       OSERIOUS? WHY SO SERIOU         SERIOUS        ERIOUS? WHY SO SERIOUS? WHYS
//		          WHY SO SERIOUS? WHY SOSERIOUS? WHYSOSERIOUS? WHY SO SERIOUS?WHY SO SE
//		           ERIOUS? WHY SO SERIOUS? WHY SO SERIOUS? WHY SO SERIOUS? WHY SOSERIO
//		           WHY SO SERIOUS? WHY SO SERIOUS? WHY SO SERIOUS? WHY SO SERIOUS? WH
//		            SERIOUS?WHYSO SERIOUS? WHY SO SERIOUS? WHY SO SERIOUS? WHYSO SE
//		              ?WHYSOSERIOUS?WHY SO SERIOUS? WHY SO SERIOUS?WHYSO SERIOUS?
//		                           OSERIOUS? WHY SO SERIOUS?WHYSOSER
//		                                 HYSOSERIOUS?WHYSOSERI
//		                                     SOSERIOUS?W
//		                                         SER
//		                                          W


#include <iostream>
#include <queue>
#include <tuple>
#include <vector>
using namespace std;
#include<bits/stdc++.h>
#include <algorithm>
#define ll long long int
#define read(a) long long int a; cin>>a;
#define readstr(s) string s; cin>>s;
#define readarr(a,l) long long int a[l]={0}; for(ll i=0;i<l;i++) cin>>a[i];
#define loop(i,a,b) for(ll i=a;i<b;i++)
#define rloop(i,a,b) for(ll i=a;i>b;i--)
#define ff first
#define ss second
#define readmtrx(i,j,a,b) ll arr[a][b]={0};for(ll i=0;i<a;i++)for(ll j=0;j<b;j++) cin>>arr[i][j];
#define v(pi) vector<ll>pi
#define vp(pi) vector<pair<ll,ll>>pi
#define fast ios_base::sync_with_stdio(false);cin.tie(0);
#define pb(p) push_back(p)
#define mp make_pair
#include <cmath>
#include <map>
#include <string>
#define mi(lol) map<ll,ll>lol
#define fsort(vec) sort(vec.begin(),vec.end())
#define rsort(vec) sort(vec.begin(),vec.end(),compare)
#define inf ll inf=INT_MAX
//sorting according to the second element vector 

bool compare(pair<ll,ll> p,pair<ll,ll> q){
	return p.second < q.second;	
}

//   example:-
//   sort(vec.begin(),vec.end(),compare);


ll knapsack(ll *wt, ll *val, ll a, ll sum){
	ll dp[a+1][sum+1]={0};
	memset(dp,0, sizeof dp); 
	loop(i,0,a+1){
		dp[i][0]=0;
	}
	loop(j,0,sum+1){
		dp[0][j]=0;
	}
	loop(i,1,a+1){
		loop(j,1,sum+1){
			if(j>=wt[i-1]){
				dp[i][j]=max(val[i-1]+dp[i-1][j-wt[i-1]],dp[i-1][j]);
			}
			else dp[i][j]=dp[i-1][j];
		}
	}
	return dp[a][sum];
}

int main() {
	fast;
	read(a)
	read(b)
	ll val[a]={0};
	ll arr[a]={0};
	loop(i,0,a){
		cin>>arr[i]>>val[i];
	}
	cout<<knapsack(arr,val,a,b)<<endl;
	return 0;
}