import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.HashMap; import java.util.Map; import java.util.StringTokenizer; public class pak { final static int INF = 1000; public static void main(String[] args) throws IOException { pak solver = new pak(); solver.init(); solver.solve(); } private void init() { // int[][] cn = new int[25][25]; // cn[0][0] = 1; // for (int i = 1; i < cn.length; i++) { // cn[i][0] = 1; // for (int j = 1; j < cn[i].length; j++) { // cn[i][j] = cn[i-1][j-1] + cn[i-1][j]; // } // } // System.out.println(cn[24][12]); } Map<Integer, Integer>[] cache; int[] A; int[] C; int N,M; private void solve() throws IOException { Reader in = new Reader(System.in); PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out)); N = in.nextInt(); M = in.nextInt(); int[] a = new int[N]; for (int i = 0; i < N; i++) a[i] = in.nextInt(); int[] c = new int[M]; for (int i = 0; i < M; i++) c[i] = in.nextInt(); Arrays.sort(a); Arrays.sort(c); A = reverse(a); C = reverse(c); initCache(N); int r = go(0,0); if (r == INF) { out.println("NIE"); } else { out.println(r); } out.flush(); out.close(); } private int go(int globalMask, int nr) { int used = Integer.bitCount(globalMask); if (used == N) return nr; if (nr >= M) return INF; Integer res = cache[nr].get(globalMask); if (res != null) return res; int r = INF; int[] p = countMovment(globalMask, used); int n = N - used; for (int mask = 1; mask < (1 << n); mask++) { if (isGoodCombination(mask, p, C[nr])) { r = Math.min(r, go(mergeMasks(globalMask, mask, p), nr + 1)); } } cache[nr].put(globalMask, r); return r; } private boolean isGoodCombination(int mask, int[] p, long capacity) { //plecak ma wystarczajaca waga for (int i = 0; i < p.length; i++) if (((1 << i) & mask) > 0) { capacity -= A[p[i]]; } if (capacity < 0) return false; // for (int i = 0; i < p.length; i++){ if (((1 << i) & mask) > 0) { if (i > 0 && ((1 << (i-1)) & mask) == 0) { //moge zamienic pojedynczy przedmiot na ciezszy if (capacity >= A[p[i-1]] - A[p[i]]) { return false; } } } else { //cos jescze moge doladowac if (capacity >= A[p[i]]) { return false; } } } return true; } private int mergeMasks(int globalMask, int mask, int[] p) { for (int i = 0; i < p.length; i++) if (((1 << i) & mask) > 0) { globalMask |= (1 << p[i]); } return globalMask; } private int[] countMovment(int mask, int used) { int[] p = new int[N-used]; int idx = 0; for (int i = 0; i < N; i++) if (((1 << i) & mask) == 0) { p[idx++] = i; } return p; } private void initCache(int n) { cache = new Map[n+1]; for (int i = 0; i <= n; i++) cache[i] = new HashMap<Integer, Integer>(); } private int[] reverse(int[] a) { int n = a.length; int[] r = new int[n]; for (int i = 0; i < n; i++) r[i] = a[n-1 - i]; return r; } private static class Reader { BufferedReader reader; StringTokenizer tokenizer; /** call this method to initialize reader for InputStream */ Reader(InputStream input) { reader = new BufferedReader( new InputStreamReader(input) ); tokenizer = new StringTokenizer(""); } public void skipLine() throws IOException { reader.readLine(); } /** get next word */ public String next() throws IOException { while ( ! tokenizer.hasMoreTokens() ) { //TODO add check for eof if necessary tokenizer = new StringTokenizer( reader.readLine() ); } return tokenizer.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt( next() ); } public double nextDouble() throws IOException { return Double.parseDouble( next() ); } public long nextLong() throws IOException { return Long.parseLong(next()); } } }
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 | import java.io.BufferedOutputStream; import java.io.BufferedReader; import java.io.IOException; import java.io.InputStream; import java.io.InputStreamReader; import java.io.PrintWriter; import java.util.Arrays; import java.util.HashMap; import java.util.Map; import java.util.StringTokenizer; public class pak { final static int INF = 1000; public static void main(String[] args) throws IOException { pak solver = new pak(); solver.init(); solver.solve(); } private void init() { // int[][] cn = new int[25][25]; // cn[0][0] = 1; // for (int i = 1; i < cn.length; i++) { // cn[i][0] = 1; // for (int j = 1; j < cn[i].length; j++) { // cn[i][j] = cn[i-1][j-1] + cn[i-1][j]; // } // } // System.out.println(cn[24][12]); } Map<Integer, Integer>[] cache; int[] A; int[] C; int N,M; private void solve() throws IOException { Reader in = new Reader(System.in); PrintWriter out = new PrintWriter(new BufferedOutputStream(System.out)); N = in.nextInt(); M = in.nextInt(); int[] a = new int[N]; for (int i = 0; i < N; i++) a[i] = in.nextInt(); int[] c = new int[M]; for (int i = 0; i < M; i++) c[i] = in.nextInt(); Arrays.sort(a); Arrays.sort(c); A = reverse(a); C = reverse(c); initCache(N); int r = go(0,0); if (r == INF) { out.println("NIE"); } else { out.println(r); } out.flush(); out.close(); } private int go(int globalMask, int nr) { int used = Integer.bitCount(globalMask); if (used == N) return nr; if (nr >= M) return INF; Integer res = cache[nr].get(globalMask); if (res != null) return res; int r = INF; int[] p = countMovment(globalMask, used); int n = N - used; for (int mask = 1; mask < (1 << n); mask++) { if (isGoodCombination(mask, p, C[nr])) { r = Math.min(r, go(mergeMasks(globalMask, mask, p), nr + 1)); } } cache[nr].put(globalMask, r); return r; } private boolean isGoodCombination(int mask, int[] p, long capacity) { //plecak ma wystarczajaca waga for (int i = 0; i < p.length; i++) if (((1 << i) & mask) > 0) { capacity -= A[p[i]]; } if (capacity < 0) return false; // for (int i = 0; i < p.length; i++){ if (((1 << i) & mask) > 0) { if (i > 0 && ((1 << (i-1)) & mask) == 0) { //moge zamienic pojedynczy przedmiot na ciezszy if (capacity >= A[p[i-1]] - A[p[i]]) { return false; } } } else { //cos jescze moge doladowac if (capacity >= A[p[i]]) { return false; } } } return true; } private int mergeMasks(int globalMask, int mask, int[] p) { for (int i = 0; i < p.length; i++) if (((1 << i) & mask) > 0) { globalMask |= (1 << p[i]); } return globalMask; } private int[] countMovment(int mask, int used) { int[] p = new int[N-used]; int idx = 0; for (int i = 0; i < N; i++) if (((1 << i) & mask) == 0) { p[idx++] = i; } return p; } private void initCache(int n) { cache = new Map[n+1]; for (int i = 0; i <= n; i++) cache[i] = new HashMap<Integer, Integer>(); } private int[] reverse(int[] a) { int n = a.length; int[] r = new int[n]; for (int i = 0; i < n; i++) r[i] = a[n-1 - i]; return r; } private static class Reader { BufferedReader reader; StringTokenizer tokenizer; /** call this method to initialize reader for InputStream */ Reader(InputStream input) { reader = new BufferedReader( new InputStreamReader(input) ); tokenizer = new StringTokenizer(""); } public void skipLine() throws IOException { reader.readLine(); } /** get next word */ public String next() throws IOException { while ( ! tokenizer.hasMoreTokens() ) { //TODO add check for eof if necessary tokenizer = new StringTokenizer( reader.readLine() ); } return tokenizer.nextToken(); } public int nextInt() throws IOException { return Integer.parseInt( next() ); } public double nextDouble() throws IOException { return Double.parseDouble( next() ); } public long nextLong() throws IOException { return Long.parseLong(next()); } } } |