using System; using static System.Console; using System.Linq; using System.Collections.Generic; class Program { static int NN => int.Parse(ReadLine()); static int[] NList => ReadLine().Split().Select(int.Parse).ToArray(); static int[][] NArr(long n) => Enumerable.Repeat(0, (int)n).Select(_ => NList).ToArray(); public static void Main() { Solve(); // Test(); } static void Test() { var r = new Random(); var count = 0; while (true) { var n = 2; var t = r.Next(1, 20); var map = new int[n][]; for (var i = 0; i < n; ++i) map[i] = new int[] { r.Next(1, 10), r.Next(1, 10) }; // 愚直解 var s1 = All(n, t, map); // 作成解 var s2 = Gift(n, t, map); if (s1 != s2) { WriteLine(n + " " + t); WriteLine(string.Join("\n", map.Select(m => string.Join(" ", m)))); WriteLine(s1); WriteLine(s2); return; } ++count; if (count % 1000 == 0) WriteLine(count); } } static string All(int n, int w, int[][] map) { var ans = new int[w]; for (var x = 1; x <= w; ++x) { for (var v = 1; v <= 100; ++v) { var dp = Enumerable.Repeat(long.MinValue, w + 1).ToArray(); var valid = new bool[w + 1]; dp[0] = 0; dp[x] = v; valid[x] = true; for (var i = 0; i < n; ++i) { var ndp = (long[]) dp.Clone(); var nv = (bool[]) valid.Clone(); for (var j = 0; j < w; ++j) { if (j + map[i][0] >= ndp.Length) break; if (ndp[j + map[i][0]] <= dp[j] + map[i][1]) { ndp[j + map[i][0]] = dp[j] + map[i][1]; nv[j + map[i][0]] = valid[j]; } } dp = ndp; valid = nv; // if (x == 4 && v == 1) // { // WriteLine(string.Join(" ", dp)); // WriteLine(string.Join(" ", valid.Select(f => f ? "Y" : "N"))); // } } for (var i = 1; i < dp.Length; ++i) dp[i] = Math.Max(dp[i], dp[i - 1]); var max = dp[w]; var flg = false; for (var i = 0; i < dp.Length; ++i) { if (dp[i] == max) { flg = valid[i]; break; } } // if (x == 4 && v == 1) WriteLine(flg); if (flg) { ans[x - 1] = v; break; } } } return string.Join(" ", ans); } static void Solve() { var c = NList; var (n, w) = (c[0], c[1]); var map = NArr(n); // WriteLine(All(n, w, map)); WriteLine(Gift(n, w, map)); } static string Gift(int n, int w, int[][] map) { var INF = long.MinValue; var init = Enumerable.Repeat(INF, w + 1).ToArray(); var dp = (long[]) init.Clone(); dp[0] = 0; for (var i = 0; i < n; ++i) { var ndp = (long[]) dp.Clone(); for (var j = 0; j < dp.Length; ++j) { if (j + map[i][0] >= ndp.Length) break; ndp[j + map[i][0]] = Math.Max(ndp[j + map[i][0]], dp[j] + map[i][1]); } dp = ndp; // WriteLine(string.Join(" ", dp)); } for (var i = 1; i < dp.Length; ++i) dp[i] = Math.Max(dp[i], dp[i - 1]); var ans = new long[w]; for (var i = 0; i < ans.Length; ++i) ans[i] = dp[w] - dp[w - i - 1] + 1; return string.Join("\n", ans); } }