using Lib; using System; using System.Collections.Generic; using System.Diagnostics; using System.IO; using System.Linq; using System.Runtime.CompilerServices; using System.Text; using static Lib.Functions; using static Lib.OutputLib; public class Solver { const bool MultiTestCase = false; void Solve() { checked { int h = ri, w = ri, n = ri; ReadArray(out (int a, int b)[] ab, n, () => (ri - 1, ri - 1)); var uf = new UnionFind(h + w); foreach (var (a, b) in ab) uf.Unite(a, h + b); var vs = new List<(int a, int b)>(); var ca = new int[h + w]; var cb = new int[h + w]; for (int i = 0; i < h; i++) ca[uf.Root(i)]++; for (int i = 0; i < w; i++) cb[uf.Root(h + i)]++; for (int i = 0; i < h + w; i++) { if (uf.Root(i) != i) continue; vs.Add((ca[i], cb[i])); } int fa = 0, fb = 0; foreach (var (a, b) in vs) { if (a == 0) { fb += b; continue; } if (b == 0) { fa += a; continue; } } var dp_min = new long[h + 1]; Array.Fill(dp_min, IINF); var dp_max = new long[h + 1]; Array.Fill(dp_max, -1); dp_min[0] = 0; dp_max[0] = fb; foreach (var (a, b) in vs) { if (a == 0 || b == 0) continue; for (int i = h - a; i >= 0; i--) { Chmin(ref dp_min[i + a], dp_min[i] + b); Chmax(ref dp_max[i + a], dp_max[i] + b); } } var seg_min = new SegTree(dp_min); var seg_max = new SegTree(dp_max); long ans = 0; for (int i = 0; i <= h; i++) { long c = h - 2 * i; long u = (long)i * w, v; v = seg_min.Prod(Math.Max(i - fa, 0), i + 1); if (0 <= v && v <= w) Chmax(ref ans, c * v + u); v = seg_max.Prod(Math.Max(i - fa, 0), i + 1); if (0 <= v && v <= w) Chmax(ref ans, c * v + u); } Write(ans); } } #pragma warning disable CS0162 public Solver() { if (!MultiTestCase) Solve(); else for (int t = ri; t > 0; t--) Solve(); } #pragma warning restore CS0162 const int IINF = 1 << 30; const long INF = 1L << 60; int ri { [MethodImpl(256)] get => (int)sc.Integer(); } long rl { [MethodImpl(256)] get => sc.Integer(); } uint rui { [MethodImpl(256)] get => (uint)sc.UInteger(); } ulong rul { [MethodImpl(256)] get => sc.UInteger(); } double rd { [MethodImpl(256)] get => sc.Double(); } string rs { [MethodImpl(256)] get => sc.Scan(); } string rline { [MethodImpl(256)] get => sc.Line(); } public StreamScanner sc = new StreamScanner(Console.OpenStandardInput()); void ReadArray(out int[] a, int n) { a = new int[n]; for (int i = 0; i < a.Length; i++) a[i] = ri; } void ReadArray(out long[] a, int n) { a = new long[n]; for (int i = 0; i < a.Length; i++) a[i] = rl; } void ReadArray(out T[] a, int n, Func read) { a = new T[n]; for (int i = 0; i < a.Length; i++) a[i] = read(); } void ReadArray(out T[] a, int n, Func read) { a = new T[n]; for (int i = 0; i < a.Length; i++) a[i] = read(i); } } static class Program { static public void Main(string[] args) { SourceExpander.Expander.Expand(); Console.SetOut(new StreamWriter(Console.OpenStandardOutput()) { AutoFlush = false }); new Solver(); Console.Out.Flush(); } } #region Expanded by https://github.com/kzrnm/SourceExpander namespace Lib{public class SegTreewhere Op:struct,IMonoid{private static readonly Op op=default;public int Length{get;}protected readonly int log,size;public readonly T[]d;public SegTree(int sz){Length=sz;log=0;while((1<0;i--)Update(i);}[MethodImpl(256)]internal void SetWithoutUpdate(int p,T v)=>d[p+size]=v;[MethodImpl(256)]internal void AllUpdate(){for(int i=size-1;i>0;i--)Update(i);}[MethodImpl(256)]private void Update(int p)=>d[p]=op.Operate(d[2*p],d[2*p+1]);[MethodImpl(256)]public T Get(int p)=>d[p+size];[MethodImpl(256)]public void Set(int p,T v){p+=size;d[p]=v;for(int i=1;i<=log;i++)Update(p>>i);}public T AllProd()=>d[1];[MethodImpl(256)]public T Prod(int l,int r){T sl=op.Identity,sr=op.Identity;l+=size;r+=size;while(l>=1;r>>=1;}return op.Operate(sl,sr);}[MethodImpl(256)]public int MaxRight(int l,Predicatef){if(l==Length)return Length;l+=size;var s=op.Identity;do{while(l%2==0)l>>=1;if(!f(op.Operate(s,d[l]))){while(lf){if(r==0)return 0;r+=size;var s=op.Identity;do{r--;while(r>1&&(r%2)!=0)r>>=1;if(!f(op.Operate(d[r],s))){while(rsz[Root(x)];public bool IsSame(int x,int y)=>Root(x)==Root(y);public bool Unite(int x,int y){int rx=Root(x),ry=Root(y);if(rx==ry)return false;p[ry]=rx;sz[rx]+=sz[ry];GroupCount--;return true;}public int[][]GetGroups(){var leader_buf=new int[n];var group_size=new int[n];int group_count=0;for(int i=0;i>1)&0x5555555555555555UL);x=(x&0x3333333333333333UL)+((x>>2)&0x3333333333333333UL);x=(x&0x0f0f0f0f0f0f0f0fUL)+((x>>4)&0x0f0f0f0f0f0f0f0fUL);x=(x&0x00ff00ff00ff00ffUL)+((x>>8)&0x00ff00ff00ff00ffUL);x=(x&0x0000ffff0000ffffUL)+((x>>16)&0x0000ffff0000ffffUL);x=(x&0x00000000ffffffffUL)+((x>>32)&0x00000000ffffffffUL);return(int)x;}[MethodImpl(256)]public static int Popcount(long x){x=(x&0x5555555555555555L)+((x>>1)&0x5555555555555555L);x=(x&0x3333333333333333L)+((x>>2)&0x3333333333333333L);x=(x&0x0f0f0f0f0f0f0f0fL)+((x>>4)&0x0f0f0f0f0f0f0f0fL);x=(x&0x00ff00ff00ff00ffL)+((x>>8)&0x00ff00ff00ff00ffL);x=(x&0x0000ffff0000ffffL)+((x>>16)&0x0000ffff0000ffffL);x=(x&0x00000000ffffffffL)+((x>>32)&0x00000000ffffffffL);return(int)x;}[MethodImpl(256)]public static int Popcount(int x){x=(x&0x55555555)+((x>>1)&0x55555555);x=(x&0x33333333)+((x>>2)&0x33333333);x=(x&0x0f0f0f0f)+((x>>4)&0x0f0f0f0f);x=(x&0x00ff00ff)+((x>>8)&0x00ff00ff);x=(x&0x0000ffff)+((x>>16)&0x0000ffff);return x;}[MethodImpl(256)]public static int Ctz(long x){if(x==0)return-1;return Popcount((ulong)((x&-x)-1));}[MethodImpl(256)]public static int CeilPow2(int n){int x=0;while((1<a<=b&&b<=c;[MethodImpl(256)]public static int Sign(long x)=>x==0?0:(x<0?-1:1);[MethodImpl(256)]public static int Sign(double x)=>x==0?0:(x<0?-1:1);[MethodImpl(256)]public static int DigitSum(long n,int d=10){long s=0;while(n>0){s+=n%d;n/=d;}return(int)s;}[MethodImpl(256)]public static long Floor(long a,long b)=>a>=0?a/b:(a+1)/b-1;[MethodImpl(256)]public static long Ceil(long a,long b)=>a>0?(a-1)/b+1:a/b;[MethodImpl(256)]public static int Gcd(int a,int b)=>b==0?a:Gcd(b,a%b);[MethodImpl(256)]public static uint Gcd(uint a,uint b)=>b==0?a:Gcd(b,a%b);[MethodImpl(256)]public static long Gcd(long a,long b)=>b==0?a:Gcd(b,a%b);[MethodImpl(256)]public static ulong Gcd(ulong a,ulong b)=>b==0?a:Gcd(b,a%b);[MethodImpl(256)]public static(long x,long y,long g)ExtGcd(long a,long b){if(b==0)return(Sign(a),0,Math.Abs(a));long c=SafeMod(a,b);var(x2,y2,g)=ExtGcd(b,c);long x=SafeMod(y2,b);long y=(g-a*x)/b;return(x,y,g);}[MethodImpl(256)]public static void Swap(ref int x,ref int y){x^=y;y^=x;x^=y;}[MethodImpl(256)]public static void Swap(ref long x,ref long y){x^=y;y^=x;x^=y;}[MethodImpl(256)]public static void Swap(ref T x,ref T y){T t=y;y=x;x=t;}[MethodImpl(256)]public static T Clamp(T x,T l,T r)where T:IComparable =>x.CompareTo(l)<=0?l:(x.CompareTo(r)<=0?x:r);[MethodImpl(256)]public static T Clamp(ref T x,T l,T r)where T:IComparable =>x=x.CompareTo(l)<=0?l:(x.CompareTo(r)<=0?x:r);[MethodImpl(256)]public static void Chmin(ref T x,T y)where T:IComparable{if(x.CompareTo(y)>0)x=y;}[MethodImpl(256)]public static void Chmax(ref T x,T y)where T:IComparable{if(x.CompareTo(y)<0)x=y;}[MethodImpl(256)]public static int LowerBound(long[]arr,long val,int l=-1,int r=-1)=>LowerBound(arr.AsSpan(),t=>Sign(t-val),l,r);[MethodImpl(256)]public static int LowerBound(int[]arr,int val,int l=-1,int r=-1)=>LowerBound(arr.AsSpan(),t=>t-val,l,r);[MethodImpl(256)]public static int LowerBound(T[]arr,T val,int l=-1,int r=-1)where T:IComparable =>LowerBound(arr.AsSpan(),t=>t.CompareTo(val),l,r);[MethodImpl(256)]public static int LowerBound(T[]arr,Funccomp,int l=-1,int r=-1)=>LowerBound(arr.AsSpan(),comp,l,r);[MethodImpl(256)]public static int LowerBound(Spandata,Funccomp,int l=-1,int r=-1){if(data.Length==0)return-1;if(l==-1)l=0;if(r==-1)r=data.Length;while(l(T[]arr,T geq,T lt,int l=-1,int r=-1)where T:IComparable =>Math.Max(0,LowerBound(arr.AsSpan(),t=>t.CompareTo(lt),l,r)-LowerBound(arr.AsSpan(),t=>t.CompareTo(geq),l,r));[MethodImpl(256)]public static string ToBase2(long v,int digit=-1){if(digit==-1){digit=0;while((v>>digit)>0)digit++;}var c=new string[digit];for(int i=0;i>i)&1)==0?"0":"1";return string.Join("",c);}[MethodImpl(256)]public static string ToBaseN(long v,int n,int digit=-1){if(digit==-1){digit=0;long pow=1;while(v>=pow){digit++;pow*=n;}}var c=new int[digit];for(int i=0;i:IOperation,IIdentity{}public struct IntMinMonoid:IMonoid{public int Identity=>int.MaxValue;public int Operate(int x,int y)=>Math.Min(x,y);}public struct IntMaxMonoid:IMonoid{public int Identity=>int.MinValue;public int Operate(int x,int y)=>Math.Max(x,y);}public struct LongMinMonoid:IMonoid{public long Identity=>long.MaxValue;public long Operate(long x,long y)=>Math.Min(x,y);}public struct LongMaxMonoid:IMonoid{public long Identity=>long.MinValue;public long Operate(long x,long y)=>Math.Max(x,y);}public struct PairMonoid:IMonoid<(T1,T2)>where Op1:struct,IMonoidwhere Op2:struct,IMonoid{public readonly static Op1 op1=default;public readonly static Op2 op2=default;public(T1,T2)Identity=>(op1.Identity,op2.Identity);public(T1,T2)Operate((T1,T2)x,(T1,T2)y)=>(op1.Operate(x.Item1,y.Item1),op2.Operate(x.Item2,y.Item2));}public struct Tuple2Monoid:IMonoid<(T,T)>where Op:struct,IMonoid{public readonly static Op op=default;public(T,T)Identity=>(op.Identity,op.Identity);public(T,T)Operate((T,T)x,(T,T)y)=>(op.Operate(x.Item1,y.Item1),op.Operate(x.Item2,y.Item2));}public struct Tuple3Monoid:IMonoid<(T,T,T)>where Op:struct,IMonoid{public readonly static Op op=default;public(T,T,T)Identity=>(op.Identity,op.Identity,op.Identity);public(T,T,T)Operate((T,T,T)x,(T,T,T)y)=>(op.Operate(x.Item1,y.Item1),op.Operate(x.Item2,y.Item2),op.Operate(x.Item3,y.Item3));}public struct Tuple4Monoid:IMonoid<(T,T,T,T)>where Op:struct,IMonoid{public readonly static Op op=default;public(T,T,T,T)Identity=>(op.Identity,op.Identity,op.Identity,op.Identity);public(T,T,T,T)Operate((T,T,T,T)x,(T,T,T,T)y)=>(op.Operate(x.Item1,y.Item1),op.Operate(x.Item2,y.Item2),op.Operate(x.Item3,y.Item3),op.Operate(x.Item4,y.Item4));}} namespace Lib{public interface IIdentity{T Identity{get;}}} namespace Lib{public interface IOperation{T Operate(T x,T y);}} namespace Lib{public partial class StreamScanner{public int[][]ReadUnweightedTree(int n,int origin=1){var gr=new List[n];for(int i=0;i();for(int i=0;i=len){ptr=0;if((len=str.Read(buf,0,1024))<=0){isEof=true;return 0;}}return buf[ptr++];}[MethodImpl(256)]public char Char(){byte b=0;do b=Read();while(b<33||126=33&&b<=126;b=(char)Read())sb.Append(b);return sb.ToString();}[MethodImpl(256)]public long Integer(){long ret=0;byte b=0;var ng=false;do b=Read();while(b!='-'&&(b<'0'||'9'double.Parse(Scan());}} namespace Lib{public static class OutputLib{[MethodImpl(256)]public static void WriteJoin(string s,IEnumerablet)=>Console.WriteLine(string.Join(s,t));[MethodImpl(256)]public static void WriteMat(T[,]a,string sep=" "){int sz1=a.GetLength(0),sz2=a.GetLength(1);var b=new T[sz2];for(int i=0;i(T[][]a,string sep=" "){for(int i=0;i(T[][]a,Funcmap,string sep=" "){for(int i=0;imap(x)));}[MethodImpl(256)]public static void Write(object t)=>Console.WriteLine(t.ToString());[MethodImpl(256)]public static void Write(params object[]arg)=>Console.WriteLine(string.Join(" ",arg.Select(x=>x.ToString())));[MethodImpl(256)]public static void Write(string str)=>Console.WriteLine(str);[MethodImpl(256)]public static void WriteFlush(object t){Console.WriteLine(t.ToString());Console.Out.Flush();}[MethodImpl(256)]public static void WriteError(object t)=>Console.Error.WriteLine(t.ToString());[MethodImpl(256)]public static void Flush()=>Console.Out.Flush();[MethodImpl(256)]public static void YN(bool t)=>Console.WriteLine(t?"YES":"NO");[MethodImpl(256)]public static void Yn(bool t)=>Console.WriteLine(t?"Yes":"No");[MethodImpl(256)]public static void yn(bool t)=>Console.WriteLine(t?"yes":"no");[MethodImpl(256)]public static void DeleteLine()=>Console.Write("\x1b[1A\x1b[2K");[MethodImpl(256)]public static void ProgressBar(long now,long total,int blocks=50){int x=(int)((2*now*blocks+1)/(2*total));Console.Write($"\x1b[G[\x1b[42m{string.Concat(Enumerable.Repeat("_",x))}\x1b[0m{string.Concat(Enumerable.Repeat("_",blocks-x))}] : {now} / {total}");}}} namespace SourceExpander{public class Expander{[Conditional("EXP")]public static void Expand(string inputFilePath=null,string outputFilePath=null,bool ignoreAnyError=true){}public static string ExpandString(string inputFilePath=null,bool ignoreAnyError=true){return "";}}} #endregion Expanded by https://github.com/kzrnm/SourceExpander