package contest; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.ArrayList; import java.util.Arrays; import java.util.InputMismatchException; import java.util.List; public class Q297_2 { InputStream is; PrintWriter out; String INPUT = ""; void solve() { int n = ni(); int u = ni(); int[] a = na(u); int v = ni(); int[] b = na(v); List es = new ArrayList(); int src = u+v+2, sink = u+v+3; for(int i = 0;i < u;i++){ es.add(new Edge(src, i, n/u)); es.add(new Edge(u+v, i, 1)); } es.add(new Edge(src, u+v, n%u)); for(int i = 0;i < v;i++){ es.add(new Edge(u+i, sink, n/v)); es.add(new Edge(u+i, u+v+1, 1)); } es.add(new Edge(u+v+1, sink, n%v)); for(int i = 0;i < u;i++){ for(int j = 0;j < v;j++){ if(a[i] > b[j]){ es.add(new Edge(i, u+j, 9999)); // ここ容量∞でいいんだろうか } } } out.println(maximumFlowDinicNoRec(compileWD(sink+1, es), src, sink)); } public static class Edge { public int from, to; public int capacity; public int flow; public Edge complement; // public int iniflow; public Edge(int from, int to, int capacity) { this.from = from; this.to = to; this.capacity = capacity; } } public static Edge[][] compileWD(int n, List edges) { Edge[][] g = new Edge[n][]; // cloning for(int i = edges.size()-1;i >= 0;i--){ Edge origin = edges.get(i); Edge clone = new Edge(origin.to, origin.from, origin.capacity); clone.flow = origin.capacity; clone.complement = origin; origin.complement = clone; edges.add(clone); } int[] p = new int[n]; for(Edge e : edges)p[e.from]++; for(int i = 0;i < n;i++)g[i] = new Edge[p[i]]; for(Edge e : edges)g[e.from][--p[e.from]] = e; return g; } public static Edge[][] compileWU(int n, List edges) { Edge[][] g = new Edge[n][]; // cloning for(int i = edges.size()-1;i >= 0;i--){ Edge origin = edges.get(i); Edge clone = new Edge(origin.to, origin.from, origin.capacity*2); origin.flow = origin.capacity; clone.flow = origin.capacity; clone.complement = origin; origin.complement = clone; origin.capacity *= 2; edges.add(clone); } int[] p = new int[n]; for(Edge e : edges)p[e.from]++; for(int i = 0;i < n;i++)g[i] = new Edge[p[i]]; for(Edge e : edges)g[e.from][--p[e.from]] = e; return g; } public static long maximumFlowDinic(Edge[][] g, int source, int sink) { int n = g.length; int[] d = new int[n]; int[] q = new int[n]; long ret = 0; while(true){ Arrays.fill(d, -1); q[0] = source; int r = 1; d[source] = 0; for(int v = 0;v < r;v++){ int cur = q[v]; for(Edge ne : g[cur]){ if(d[ne.to] == -1 && ne.capacity - ne.flow > 0) { q[r++] = ne.to; d[ne.to] = d[cur] + 1; } } } if(d[sink] == -1)break; int[] sp = new int[n]; for(int i = 0;i < n;i++)sp[i] = g[i].length - 1; ret += dfsDinic(d, g, sp, source, sink, Long.MAX_VALUE); } return ret; } private static long dfsDinic(int[] d, Edge[][] g, int[] sp, int cur, int sink, long min) { if(cur == sink)return min; long left = min; for(int i = sp[cur];i >= 0;i--){ Edge ne = g[cur][i]; if(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){ long fl = dfsDinic(d, g, sp, ne.to, sink, Math.min(left, ne.capacity - ne.flow)); if(fl > 0){ left -= fl; ne.flow += fl; ne.complement.flow -= fl; if(left == 0){ sp[cur] = i; return min; } } } } sp[cur] = -1; return min-left; } public static long maximumFlowDinicNoRec(Edge[][] g, int source, int sink) { int n = g.length; int[] d = new int[n]; // distance int[] q = new int[n]; // queue for BFS long ret = 0; int[] stack = new int[n]; long[] lefts = new long[n]; // left to flow long[] parflow = new long[n]; int[] probe = new int[n]; // search pointer while(true){ // BFS Arrays.fill(d, -1); q[0] = source; int r = 1; d[source] = 0; for(int v = 0;v < r;v++){ int cur = q[v]; for(Edge ne : g[cur]){ if(d[ne.to] == -1 && ne.capacity - ne.flow > 0) { q[r++] = ne.to; d[ne.to] = d[cur] + 1; } } } if(d[sink] == -1)break; // DFS for(int i = 0;i < n;i++)probe[i] = g[i].length; int sp = 0; stack[sp] = source; lefts[sp] = Long.MAX_VALUE; parflow[sp] = 0; sp++; long delta = 0; boolean down = true; while(sp > 0){ int cur = stack[sp-1]; long fl = lefts[sp-1]; if(cur == sink){ delta += fl; parflow[sp-1] = fl; sp--; down = false; continue; } if(!down && parflow[sp] > 0){ lefts[sp-1] -= parflow[sp]; fl = lefts[sp-1]; Edge ne = g[cur][probe[cur]]; ne.flow += parflow[sp]; ne.complement.flow -= parflow[sp]; parflow[sp-1] += parflow[sp]; } if(fl > 0 && probe[cur] > 0){ down = true; Edge ne = g[cur][--probe[cur]]; if(d[ne.to] == d[cur]+1 && ne.capacity - ne.flow > 0){ lefts[sp] = Math.min(lefts[sp-1], ne.capacity - ne.flow); stack[sp] = ne.to; parflow[sp] = 0; sp++; } }else{ down = false; sp--; } } ret += delta; } return ret; } void run() throws Exception { is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); long s = System.currentTimeMillis(); solve(); out.flush(); if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); } public static void main(String[] args) throws Exception { new Q297_2().run(); } private byte[] inbuf = new byte[1024]; private int lenbuf = 0, ptrbuf = 0; private int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private double nd() { return Double.parseDouble(ns()); } private char nc() { return (char)skip(); } private String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { System.out.println(Arrays.deepToString(o)); } }