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 PyPy3 (2.4.0) (judge verdict: Accepted)

INF = 2000000000
"""
メモ : Pythonでは無限大を表す float('inf') があるが, 処理がかなり重たいので
       代わりにsum(v)より真に大きい 2*10^9 を INFとする.
       (https://atcoder.jp/contests/dp/tasks/dp_e において,PyPyを使用して,
        前者だと1060ms, 後者だと570msで2倍近く差が出ている.)
"""
n,W = map(int,input().split())
w = [0]*n
v = [0]*n
for i in range(n):
    w[i], v[i] = map(int, input().split())
sum_v = sum(v)
dp = [[INF for i in range(sum_v + 1)] for j in range(n + 1)]
# dp[i][j]には重さが入る.
# dp[i][j]=(i番目までの品物から価値がちょうどｊになるための重さの最小値)

# ここからメイン
dp[0][0] = 0
for i in range(n):
    for j in range(sum_v + 1):
        if j < v[i]:
            dp[i + 1][j] = dp[i][j]
        else:
            dp[i + 1][j] = min(dp[i][j], dp[i][j - v[i]] + w[i])

# n個まで使って,重さがlimit_wを超えないで価値が最大のものを求める.
max_value = 0
for i in range(sum_v + 1):
    if dp[n][i] <= W:
        max_value = i
print(max_value)