package q2xx; 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 Q252 { static InputStream is; static PrintWriter out; static String INPUT = ""; static void solve() { int g = ni(), c = ni(), p = ni(); char[] s = ns().toCharArray(); int eg = 0, ec = 0, ep = 0; for(char x : s){ if(x == 'G')eg++; if(x == 'C')ec++; if(x == 'P')ep++; } List es = new ArrayList<>(); int src = 6, sink = 7; es.add(new Edge(src, 0, g, 0)); es.add(new Edge(src, 1, c, 0)); es.add(new Edge(src, 2, p, 0)); es.add(new Edge(3, sink, eg, 0)); es.add(new Edge(4, sink, ec, 0)); es.add(new Edge(5, sink, ep, 0)); es.add(new Edge(0, 3, 9999, 2)); es.add(new Edge(1, 4, 9999, 2)); es.add(new Edge(2, 5, 9999, 2)); es.add(new Edge(0, 4, 9999, 0)); es.add(new Edge(1, 5, 9999, 0)); es.add(new Edge(2, 3, 9999, 0)); es.add(new Edge(0, 5, 9999, 3)); es.add(new Edge(1, 3, 9999, 3)); es.add(new Edge(2, 4, 9999, 3)); out.println(3*s.length-solveMinCostFlow(compileWD(sink+1, es), src, sink, s.length)); } public static class Edge { public int from, to; public int capacity; public int cost; public int flow; public Edge complement; // public int iniflow; public Edge(int from, int to, int capacity, int cost) { this.from = from; this.to = to; this.capacity = capacity; this.cost = cost; } } 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, -origin.cost); 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 long solveMinCostFlow(Edge[][] g, int source, int sink, long all) { int n = g.length; long mincost = 0; int[] potential = new int[n]; final int[] d = new int[n]; MinHeap q = new MinHeap(n); while(all > 0){ // shortest path src->sink Edge[] inedge = new Edge[n]; Arrays.fill(d, Integer.MAX_VALUE / 2); d[source] = 0; q.add(source, 0); while(q.size() > 0){ int cur = q.argmin(); q.remove(cur); for(Edge ne : g[cur]){ if(ne.capacity - ne.flow > 0){ int nd = d[cur] + ne.cost + potential[cur] - potential[ne.to]; if(d[ne.to] > nd){ inedge[ne.to] = ne; d[ne.to] = nd; q.update(ne.to, nd); } } } } if(inedge[sink] == null)break; long minflow = all; long sumcost = 0; for(Edge e = inedge[sink];e != null;e = inedge[e.from]){ if(e.capacity - e.flow < minflow)minflow = e.capacity - e.flow; sumcost += e.cost; } mincost += minflow * sumcost; for(Edge e = inedge[sink];e != null;e = inedge[e.from]){ e.flow += minflow; e.complement.flow -= minflow; } all -= minflow; for(int i = 0;i < n;i++){ potential[i] += d[i]; } } return mincost; } public static class MinHeap { public int[] a; public int[] map; public int[] imap; public int n; public int pos; public static int INF = Integer.MAX_VALUE; public MinHeap(int m) { n = m+2; a = new int[n]; map = new int[n]; imap = new int[n]; Arrays.fill(a, INF); Arrays.fill(map, -1); Arrays.fill(imap, -1); pos = 1; } public int add(int ind, int x) { int ret = imap[ind]; if(imap[ind] < 0){ a[pos] = x; map[pos] = ind; imap[ind] = pos; pos++; up(pos-1); } return ret != -1 ? a[ret] : x; } public int update(int ind, int x) { int ret = imap[ind]; if(imap[ind] < 0){ a[pos] = x; map[pos] = ind; imap[ind] = pos; pos++; up(pos-1); }else{ int o = a[ret]; a[ret] = x; up(ret); down(ret); // if(a[ret] > o){ // up(ret); // }else{ // down(ret); // } } return x; } public int remove(int ind) { if(pos == 1)return INF; if(imap[ind] == -1)return INF; pos--; int rem = imap[ind]; int ret = a[rem]; map[rem] = map[pos]; imap[map[pos]] = rem; imap[ind] = -1; a[rem] = a[pos]; a[pos] = INF; map[pos] = -1; up(rem); down(rem); return ret; } public int min() { return a[1]; } public int argmin() { return map[1]; } public int size() { return pos-1; } private void up(int cur) { for(int c = cur, p = c>>>1;p >= 1 && a[p] > a[c];c>>>=1, p>>>=1){ int d = a[p]; a[p] = a[c]; a[c] = d; int e = imap[map[p]]; imap[map[p]] = imap[map[c]]; imap[map[c]] = e; e = map[p]; map[p] = map[c]; map[c] = e; } } private void down(int cur) { for(int c = cur;2*c < pos;){ int b = a[2*c] < a[2*c+1] ? 2*c : 2*c+1; if(a[b] < a[c]){ int d = a[c]; a[c] = a[b]; a[b] = d; int e = imap[map[c]]; imap[map[c]] = imap[map[b]]; imap[map[b]] = e; e = map[c]; map[c] = map[b]; map[b] = e; c = b; }else{ break; } } } } public static void main(String[] args) throws Exception { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); } private static boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private static byte[] inbuf = new byte[1024]; static int lenbuf = 0, ptrbuf = 0; private static 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 static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private static double nd() { return Double.parseDouble(ns()); } private static char nc() { return (char)skip(); } private static 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 static 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 static 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 static int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private static 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 static 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) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }