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Josephine was trying to stuff all her coins to a bag. Unfortunately, because her coins were so big, she could not fit them into her bag. Even though she tried her best to squeeze a perfectly solid coin, she did not succeed.

Write a program to help her decide which coins to fit into her bag.

Given n (1 ≤ n ≤ 500) coins of w[i] weight and v[i] value (0 ≤ w[i], v[i] ≤ 500), what is the maximum value you can fit into a bag of size m (1 ≤ m ≤ 500)?

Points: 100

## Input Format

Line 1: Two integers, n and m, representing the number of coins and the size of the bag.

Line 2...n: Two integers on each line, with the (i + 1)th line containing the weight w[i] and value v[i] of coin i.

## Sample Input

3 5 5 2 2 1 3 2

## Output Format

Line 1: A single integer which is the maximum value that can be fitted into the bag of size m.

## Output

3

## Output Details

The maximum value can be achieved with the two coins with weight 2 and value 1, and the coin with weight 3 and value 2.

### Tags

### Subtasks and Limits

Subtask | Score | #TC | Time | Memory | Scoring |
---|---|---|---|---|---|

1 | 0 | 20 | 1s | 32MB | Average |

2 | 100 | 20 | 1s | 32MB | Average |

### Judge Compile Command

g++ ans.cpp -o coinbag -Wall -static -O2 -lm -m64 -s -w -std=gnu++14 -fmax-errors=512