These problems are from the atcoder DP contest, and were transferred onto DMOJ. All problem statements were made by several atcoder users. As there is no access to the test data, all data is randomly generated. If there are issues with the statement or data, please contact or on slack.
There are items, numbered
. For each
, item
has a weight of
and a value of
.
Taro has decided to choose some of the items and carry them home in a knapsack. The capacity of the knapsack is
, which means that the sum of the weights of items taken must be at most
.
Find the maximum possible sum of the values of items that Taro takes home.
Constraints
- All values in input are integers.
Input Specification
The first line of input will contain 2 space separated integers, and
.
The next lines will contain 2 space separated integers,
and
, the weight and value of item
.
Output Specification
You are to output a single integer, 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
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
Sample Explanations
For the first sample, items and
should be taken. Then, the sum of the weights IS
, and the sum of the values is
.
For the third sample, items ,
, and
should be taken. Then, the sum of the weights is
, and the sum of the values is
.
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