using System; // 4790@3.6 class program { static void Main() { knapSack(40); var sw = System.Diagnostics.Stopwatch.StartNew(); Console.Write(knapSack(400) + "\n" + sw.Elapsed); // 51 µs Console.Read(); } static string knapSack(uint w1) { init(); change(); uint n = (uint)w.Length; var K = new uint[n + 1, w1 + 1]; for (uint vi, wi, w0, x, i = 0; i < n; i++) for (vi = v[i], wi = w[i], w0 = 1; w0 <= w1; w0++) { x = K[i, w0]; if (wi <= w0) x = max(vi + K[i, w0 - wi], x); K[i + 1, w0] = x; } string str = ""; for (uint v1 = K[n, w1]; v1 > 0; n--) if (v1 != K[n - 1, w1]) { v1 -= v[n - 1]; w1 -= w[n - 1]; str += items[n - 1] + "\n"; } return str; } static uint max(uint a, uint b) { return a > b ? a : b; } static byte[] w, v; static string[] items; static byte[] p = { 1, 1, 2, 2, 2, 3, 3, 3, 1, 3, 1, 1, 2, 2, 1, 1, 1, 1, 1, 2, 1, 2 }; static void init() { w = new byte[] { 9, 13, 153, 50, 15, 68, 27, 39, 23, 52, 11, 32, 24, 48, 73, 42, 43, 22, 7, 18, 4, 30 }; v = new byte[] { 150, 35, 200, 60, 60, 45, 60, 40, 30, 10, 70, 30, 15, 10, 40, 70, 75, 80, 20, 12, 50, 10 }; items = new string[] {"map","compass","water","sandwich","glucose","tin", "banana","apple","cheese","beer","suntan cream", "camera","T-shirt","trousers","umbrella", "waterproof trousers","waterproof overclothes", "note-case","sunglasses","towel","socks","book"}; } static void change() { int n = w.Length, s = 0, i, j, k; byte xi; for (i = 0; i < n; i++) s += p[i]; { byte[] x = new byte[s]; for (k = i = 0; i < n; i++) for (xi = w[i], j = p[i]; j > 0; j--) x[k++] = xi; w = x; } { byte[] x = new byte[s]; for (k = i = 0; i < n; i++) for (xi = v[i], j = p[i]; j > 0; j--) x[k++] = xi; v = x; } string[] pItems = new string[s]; string itemI; for (k = i = 0; i < n; i++) for (itemI = items[i], j = p[i]; j > 0; j--) pItems[k++] = itemI; items = pItems; } }