#include <iostream>
#include <cmath>
#include <vector>
#include <algorithm>
#include <tuple>

using namespace std;

int main() {
    int n, k; cin >> n >> k;
    int dp[2][10001] = {};
    vector<pair<int,int>> vs;
    for (int i = 0; i < n; i++) {
        int p, d; cin >> p >> d;
        vs.push_back({p, d});
    }
    sort(vs.rbegin(), vs.rend());
    for (auto v : vs) {
        int p, d; tie(p, d) = v;
        for (int e = k; e > 0; e--) {
            if (dp[0][e] != 0) {
                dp[1][e + p] = max(dp[1][e + p], dp[0][e] + d);
            }
            if (dp[1][e] != 0) {
                dp[0][e] = max(dp[0][e], dp[1][e] + d);
            }
        }
        dp[1][p] = max(dp[1][p], d);
    }
    int ans = 0;
    for (int i = 0; i < 2; i++) {
        for (int j = 0; j <= k; j++) {
            ans = max(ans, dp[i][j]);
        }
    }
    cout << ans << endl;
    return 0;
}