package adv2019; import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.Comparator; import java.util.InputMismatchException; public class D23_2 { InputStream is; PrintWriter out; String INPUT = ""; int w, h; int[][] co; void solve() { w = ni(); h = ni(); int n = ni(); co = new int[n][]; for(int i = 0;i < n;i++){ co[i] = new int[]{ni(), ni(), -1, -1}; co[i][2] = co[i][0] + co[i][1]; co[i][3] = co[i][0] - co[i][1]; } Arrays.sort(co, new Comparator() { public int compare(int[] a, int[] b) { return a[0] - b[0]; } }); int[][] es = new int[6*n][]; int p = 0; for(int i = 1;i < n;i++){ int d = Math.abs(co[i][0] - co[0][0]) + Math.abs(co[i][1] - co[0][1]); if(d % 2 != 0){ out.println(0); return; } // c // ab/d // ----e // ih\f // g if(co[0][0] == co[i][0]){ if(co[0][1] < co[i][1]){ // a es[p++] = new int[]{ 1, co[0][1] + d/2, co[0][1] + d/2 + 1, 1, 0, i }; es[p++] = new int[]{ w+1, co[0][1] + d/2, co[0][1] + d/2 + 1, -1, 0, i }; }else{ // i es[p++] = new int[]{ 1, co[0][1] - d/2, co[0][1] - d/2 + 1, 1, 0, i }; es[p++] = new int[]{ w+1, co[0][1] - d/2, co[0][1] - d/2 + 1, -1, 0, i }; } }else{ if(co[0][1] < co[i][1]){ if(co[0][3] > co[i][3]){ // b es[p++] = new int[]{ 1, co[0][1] + d/2, co[0][1] + d/2 + 1, 1, 0, i }; es[p++] = new int[]{ co[0][0], co[0][1] + d/2, co[0][1] + d/2 + 1, -1, 0, i }; es[p++] = new int[]{ co[0][0], co[0][1] + d/2, -1, 1, 2, i }; es[p++] = new int[]{ co[i][0], co[i][1] - d/2, -1, -1, 2, i }; es[p++] = new int[]{ co[i][0], co[i][1] - d/2, co[i][1] - d/2 + 1, 1, 0, i }; es[p++] = new int[]{ w+1, co[i][1] - d/2, co[i][1] - d/2 + 1, -1, 0, i }; }else if(co[0][3] == co[i][3]){ // c es[p++] = new int[]{ 1, co[i][1], h + 1, 1, 0, i }; es[p++] = new int[]{ co[0][0]+1, co[i][1], h + 1, -1, 0, i }; es[p++] = new int[]{ co[0][0]+1, co[i][1]-1, -1, 1, 2, i }; es[p++] = new int[]{ co[i][0], co[0][1], -1, -1, 2, i }; es[p++] = new int[]{ co[i][0], 1, co[0][1]+1, 1, 0, i }; es[p++] = new int[]{ w+1, 1, co[0][1]+1, -1, 0, i }; }else{ // d es[p++] = new int[]{ co[i][0]-d/2, co[i][1], h + 1, 1, 0, i }; es[p++] = new int[]{ co[i][0]-d/2+1, co[i][1], h + 1, -1, 0, i }; es[p++] = new int[]{ co[i][0]-d/2, co[i][1], -1, 1, 2, i }; es[p++] = new int[]{ co[0][0]+d/2, co[0][1], -1, -1, 2, i }; es[p++] = new int[]{ co[0][0]+d/2, 1, co[0][1]+1, 1, 0, i }; es[p++] = new int[]{ co[0][0]+d/2+1, 1, co[0][1]+1, -1, 0, i }; } }else if(co[0][1] == co[i][1]){ // e es[p++] = new int[]{ co[0][0]+d/2, 1, h + 1, 1, 0, i }; es[p++] = new int[]{ co[0][0]+d/2+1, 1, h+1, -1, 0, i }; }else if(co[0][1] > co[i][1]){ if(co[0][2] > co[i][2]){ // h es[p++] = new int[]{ 1, co[0][1] - d/2, co[0][1] - d/2 + 1, 1, 0, i }; es[p++] = new int[]{ co[0][0], co[0][1] - d/2, co[0][1] - d/2 + 1, -1, 0, i }; es[p++] = new int[]{ co[0][0], co[0][1] - d/2, 1, 1, 1, i }; es[p++] = new int[]{ co[i][0], co[i][1] + d/2, 1, -1, 1, i }; es[p++] = new int[]{ co[i][0], co[i][1] + d/2, co[i][1] + d/2 + 1, 1, 0, i }; es[p++] = new int[]{ w+1, co[i][1] + d/2, co[i][1] + d/2 + 1, -1, 0, i }; }else if(co[0][2] == co[i][2]){ // g es[p++] = new int[]{ 1, 1, co[i][1]+1, 1, 0, i }; es[p++] = new int[]{ co[0][0]+1, 1, co[i][1] + 1, -1, 0, i }; es[p++] = new int[]{ co[0][0]+1, co[i][1]+1, 1, 1, 1, i }; es[p++] = new int[]{ co[i][0], co[0][1], 1, -1, 1, i }; es[p++] = new int[]{ co[i][0], co[0][1], h+1, 1, 0, i }; es[p++] = new int[]{ w+1, co[0][1], h+1, -1, 0, i }; }else{ // f es[p++] = new int[]{ co[i][0]-d/2, 1, co[i][1]+1, 1, 0, i }; es[p++] = new int[]{ co[i][0]-d/2+1, 1, co[i][1]+1, -1, 0, i }; es[p++] = new int[]{ co[i][0]-d/2+1, co[i][1]+1, 1, 1, 1, i }; es[p++] = new int[]{ co[0][0]+d/2, co[0][1], 1, -1, 1, i }; es[p++] = new int[]{ co[0][0]+d/2, co[0][1], h+1, 1, 0, i }; es[p++] = new int[]{ co[0][0]+d/2+1, co[0][1], h+1, -1, 0, i }; } } } } es = Arrays.copyOf(es, p); // for(int[] e : es){ // tr(e); // } Arrays.sort(es, new Comparator() { public int compare(int[] a, int[] b) { return a[0] - b[0]; } }); MinHeap sups = new MinHeap(n); MinHeap infs = new MinHeap(n); long S02 = 0, S12 = 0, S22 = 0; long S01 = 0, S11 = 0, S21 = 0; int ins = 0; int x = 1; long S = 0; for(int[] e : es){ if(x < e[0]){ if(ins == n-1){ boolean ok = true; if(S01 > 0){ if(S11 % S01 == 0 && (S11/S01)*(S11/S01)*S01 == S21){ }else{ ok = false; } } if(S02 > 0){ if(S12 % S02 == 0 && (S12/S02)*(S12/S02)*S02 == S22){ }else{ ok = false; } } if(ok){ // tr(S01, S02, sups.size()); if(S01 > 0 && S02 > 0){ long ce1 = S11/S01; long ly1 = x+ce1;// y-x long ry1 = e[0]+ce1-1; long ce2 = S12/S02; long ly2 = ce2-x;// y+x long ry2 = ce2-e[0]+1; if((ly2-ly1) % 2 == 0 && ly1 <= ly2 && ry1 >= ry2){ if(sups.size() == 0){ S++; }else{ long yy = (ly1+ly2)/2; long sup = sups.min(); long inf = -infs.min(); if(inf <= yy && yy < sup){ S++; } } } }else if(S01 == 0 && S02 > 0){ if(sups.size() == 0){ S += e[0]-x; }else{ long ce = S12/S02; long ly = ce-x+1;// y+x long ry = ce-e[0]+1; long sup = sups.min(); long inf = -infs.min(); inf = Math.max(inf, ry); sup = Math.min(sup, ly); S += Math.max(sup-inf, 0); } }else if(S02 == 0 && S01 > 0){ if(sups.size() == 0){ S += e[0]-x; }else{ long ce = S11/S01; long ly = x+ce;// y-x long ry = e[0]+ce; long sup = sups.min(); long inf = -infs.min(); inf = Math.max(inf, ly); sup = Math.min(sup, ry); S += Math.max(sup-inf, 0); } }else{ int sup = sups.min(); int inf = -infs.min(); if(inf < sup){ S += (long)(sup-inf) * (e[0] - x); } } // tr(x, e[0], ins, n, S); } } } ins += e[3]; if(e[4] == 0){ // rectangle if(e[3] == 1){ sups.add(e[5], e[2]); infs.add(e[5], -e[1]); }else{ sups.remove(e[5]); infs.remove(e[5]); } }else if(e[4] == 1){ // / S01 += e[3]; S11 += e[3] * (e[1] - e[0]); S21 += (long)e[3] * (e[1] - e[0]) * (e[1] - e[0]); }else{ // \ S02 += e[3]; S12 += e[3] * (e[1] + e[0]); S22 += (long)e[3] * (e[1] + e[0]) * (e[1] + e[0]); } x = e[0]; } out.println(S); } 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; } } } } 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"); // Thread t = new Thread(null, null, "~", Runtime.getRuntime().maxMemory()){ // @Override // public void run() { // long s = System.currentTimeMillis(); // solve(); // out.flush(); // if(!INPUT.isEmpty())tr(System.currentTimeMillis()-s+"ms"); // } // }; // t.start(); // t.join(); } public static void main(String[] args) throws Exception { new D23_2().run(); } private byte[] inbuf = new byte[1024]; public 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 int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private long[] nal(int n) { long[] a = new long[n]; for(int i = 0;i < n;i++)a[i] = nl(); return a; } 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[][] nmi(int n, int m) { int[][] map = new int[n][]; for(int i = 0;i < n;i++)map[i] = na(m); return map; } private int ni() { return (int)nl(); } 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)); } }