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: Accepted)

#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef double D;
typedef vector<int> VI;
typedef vector<ll> VL;
typedef pair<int,int> PII;
typedef pair<ll,ll> PLL;
typedef long double ld;

#define rd(x) scanf("%d",&x)
#define rd2(x,y) scanf("%d %d",&x,&y)
#define rl(x) scanf("%lld",&x)
#define rl2(x,y) scanf("%lld %lld",&x,&y)
#define wd(x) printf("%d" ,x)
#define wd2(x,y) printf("%d %d",x,y)
#define wl(x) printf("%lld",x)
#define wl2(x,y) printf("%lld %lld",x,y)
#define PC(x) putchar(x)
#define GC() getchar()
#define NL printf("\n")
#define SP printf(" ")
 
#define SZ(a) (int)a.size()
#define ALL(a) a.begin(), a.end()
#define ITER(it,a) for (__typeof(a.begin()) it = a.begin(); it != a.end(); it++)
#define FILL(a,value) memset(a, value, sizeof(a))

#define F first
#define S second
#define MP make_pair
#define PB push_back

#define SPEED ios::sync_with_stdio(false); cin.tie(0); cout.tie(0)
#define fastio ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
#define fast_cin() ios_base::sync_with_stdio(false); cin.tie(NULL)
#define fr(i,s,e) for(int i=s;i<e;i++)
#define frl(i,s,e) for(ll i=s;i<e;i++)
#define frr(i,s,e) for(int i=s-1;i>=e;i--)
#define frv(i,a) for(int i = 0;i<(int)a.size();i++)
#define frvr(i,a) for(int i = a.size()-1;i>=0;i--)
#define tr(i,a) for(typeof(a.begin()) i = a.begin(); i != a.end();i++)


#define mod 1000000007
#define maxn 100009
#define maxr 100009

const ll inf = 1e18+5;
ll wt[110],val[110];
void solve()
{
	ll n,w;
	rl2(n,w);
	fr(i,0,n)
	{
		rl2(wt[i],val[i]);
	}
	ll sum=0;
	for(ll i:val)
	{
		sum+=i;
	}
	VL dp(sum+1,inf);
	dp[0]=0;
	fr(i,0,n)
	{
		frr(j,sum+1,0)
		{
			if(j+val[i]<=sum)
			{
				dp[j+val[i]]=min(dp[j+val[i]],dp[j]+wt[i]);
			}
		}
	}
	ll ans=0;
	fr(i,0,sum+1)
	{
		if(dp[i]<=w)
		{
			ans=max(ans,(ll)i);
		}
	}
	wl(ans);
	NL;
	//ll k[n+1][w+1];
	// fr(i,0,n+1)
	// {
	// 	fr(j,0,w+1)
	// 	{
	// 		if(i==0||j==0)
	// 			k[i][j]=0;
	// 		else if(wt[i-1]<=j)
	// 		{
	// 			k[i][j]=max(val[i-1]+k[i-1][j-wt[i-1]],k[i-1][j]);
	// 		}
	// 		else
	// 			k[i][j]=k[i-1][j];

	// 	}
	// }
	//wl(k[n][w]);
	NL;
}
int main(){
	//sstd::ios::sync_with_stdio(false); cin.tie(NULL);
	solve();
	return 0;
}