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)

#pragma GCC optimize("O3")
#define _CRT_SECURE_NO_WARNINGS
#define _CRT_DISABLE_PERFCRIT_LOCKS
#define POPCNTI(a) __builtin_popcount(a)
 
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/detail/standard_policies.hpp>
#include <bits/stdc++.h>
 
using namespace std;
using namespace  __gnu_pbds;
 
// #ifndef _LOCAL_DEFINE
// inline int getchar_unlocked(){return _getchar_nolock();}
// inline void putchar_unlocked(char c) {_putchar_nolock(c);}
// #endif
 
typedef long long ll;  
typedef pair<int,int> pr; 
 
const ll MOD = 1e9 + 7,OOl=LLONG_MAX;
const int N = 1e6+1, M = 1e6+1, OO = INT_MAX,OOmem = 0x4f4f4f4f;
 
inline void WRITE_CHAR(char c)  {putchar_unlocked(c);}
 
template<typename T> 
inline bool READn (T &result) {
  int minus = 1;
  char ch;
  result=0;
  ch = (char) getchar_unlocked();
  if(ch!='-') while (!isdigit(ch) && ch!=EOF) ch= (char) getchar_unlocked(), minus = (ch == '-'? -1 : minus);
 
  if(ch==EOF) return false;
  while (isdigit(ch))  result = result*10 + (int) (ch - '0'),ch = (char) getchar_unlocked();
  
  result *= minus;
  return ch != '\n';
}
template<typename T>
inline void WRITEn(T x) {
  if (x < 0) {putchar_unlocked('-'); x = -x; }
  char writeBuffer[20], *writePtr = writeBuffer;
  do {
    *writePtr++ = (char)('0' + x % 10);
    x /= 10;
  }
  while (x);
  do  { putchar_unlocked(*--writePtr); }
  while (writePtr > writeBuffer);
}
inline bool Read_CHAR(char &c)
{
  char READ_CHARACTER = (char)getchar_unlocked();
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = (char)getchar_unlocked();
  if(READ_CHARACTER == EOF) return false;
  c = READ_CHARACTER;
  return true;
} 
inline bool READ_CHAR_ARRAY(char (&x)[N]) {
  char READ_CHARACTER = (char)getchar_unlocked();
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = (char)getchar_unlocked();
  if(READ_CHARACTER == EOF) return false;
  char *ptr = &x[0];
  while ((READ_CHARACTER != '\n' && READ_CHARACTER != '\t' && READ_CHARACTER != ' ' && READ_CHARACTER != EOF)) *ptr++ = READ_CHARACTER, READ_CHARACTER = (char)getchar_unlocked();
  *ptr = '\0';
  return true;
}
inline void WRITE_CHAR_ARRAY(const char *x) {
  while(*x != '\0')
    putchar_unlocked(*x++);
}
ll dp[2][N];
int w[101],cst[101];
int main()
{
  int n,W;
  READn(n),READn(W);
  for(int i=0;i<n;++i) READn(w[i]),READn(cst[i]);

  dp[0][0]=0;
  for(int i=1;i<=n;++i)
  {
    for(int sum = 1 ; sum<=W ; ++sum)
    {
      dp[i&1][sum] = dp[!(i&1)][sum];
      if(sum>=w[i-1]) dp[i&1][sum] = max(dp[i&1][sum],dp[!(i&1)][sum-w[i-1]]+cst[i-1]);
    }
  }
  WRITEn(dp[n&1][W]);
  return 0;
}