#include<stdio.h>
#include<cstring>
#include<cstdlib>
#include<cmath>
#include<iostream>
#include<algorithm>
#include<vector>
#include<map>
#include<set>
#include<queue>
#include<bitset>
#include<utility>
#include<functional>
#include<iomanip>
#include<sstream>
#include<ctime>
#include<cassert>
using namespace std;
#define y0 y0z
#define y1 y1z
#define yn ynz
#define j0 j0z
#define j1 j1z
#define jn jnz
#define tm tmz
#define buli(x) (__builtin_popcountll(x))
#define bur0(x) (__builtin_ctzll(x))
#define bul2(x) (63-__builtin_clzll(x))
#define mp make_pair
#define pb push_back
#define fi first
#define se second
#define fil(a,b) memset((a),(b),sizeof(a))
#define cl(a) fil(a,0)
#define siz(x) ((int)(x).size())
#define all(x) (x).begin(),(x).end()
#define foreach(it,a) for(__typeof((a).begin()) it=(a).begin();it!=(a).end();it++)
#define rep(i,a,b) for (int i=(a),_ed=(b);i<_ed;i++)
#define per(i,a,b) for (int i=(b)-1,_ed=(a);i>=_ed;i--)
#define forg(i,gu) for (int i=gu;~i;i=e[i].next)
#define pw(x) ((ll(1))<<(x))
#define upmo(a,b) (((a)=((a)+(b))%mo)<0?(a)+=mo:(a))
#define mmo(a,b) (((a)=1ll*(a)*(b)%mo)<0?(a)+=mo:(a))
void getre(){int x=0;printf("%d\n",1/x);}
void gettle(){int res=1;while(1)res<<=1;printf("%d\n",res);}
typedef pair<int,int> pii;
typedef vector<int> vi;
typedef vector<pii> vpii;
template<typename T,typename S>inline bool upmin(T&a,const S&b){return a>b?a=b,1:0;}
template<typename T,typename S>inline bool upmax(T&a,const S&b){return a<b?a=b,1:0;}
template<typename N,typename PN>inline N flo(N a,PN b){return a>=0?a/b:-((-a-1)/b)-1;}
template<typename N,typename PN>inline N cei(N a,PN b){return a>0?(a-1)/b+1:-(-a/b);}
template<typename N>N gcd(N a,N b){return b?gcd(b,a%b):a;}
template<typename N>inline int sgn(N a){return a>0?1:(a<0?-1:0);}
#if ( ( _WIN32 || __WIN32__ ) && __cplusplus < 201103L)
#define lld "%I64d"
#else
#define lld "%lld"
#endif
inline void gn(long long&x){
	int sg=1;char c;while(((c=getchar())<'0'||c>'9')&&c!='-');c=='-'?(sg=-1,x=0):(x=c-'0');
	while((c=getchar())>='0'&&c<='9')x=x*10+c-'0';x*=sg;
}
inline void gn(int&x){long long t;gn(t);x=t;}
inline void gn(unsigned long long&x){long long t;gn(t);x=t;}
inline void gn(double&x){double t;scanf("%lf",&t);x=t;}
inline void gn(long double&x){double t;scanf("%lf",&t);x=t;}
inline void gs(char *s){scanf("%s",s);}
inline void gc(char &c){while((c=getchar())>126 || c<33);}
inline void pc(char c){putchar(c);}
#ifdef JCVB
#define debug(...) fprintf(stderr, __VA_ARGS__)
#else
#define debug(...)
#endif
typedef long long ll;
typedef double db;
inline ll sqr(ll a){return a*a;}
inline db sqrf(db a){return a*a;}
const int inf=0x3f3f3f3f;
const db pi=3.14159265358979323846264338327950288L;
const db eps=1e-6;
//const int mo=0;
//int qp(int a,ll b){int n=1;do{if(b&1)n=1ll*n*a%mo;a=1ll*a*a%mo;}while(b>>=1);return n;}

int r,c;


int fa[222222];
int ty[222222];
ll val[222222];
int gf(int x){

	if(x==fa[x])return x;
	int f=fa[x];
	int F=gf(f);

	if(ty[f]==0 && ty[x]==0){
		ty[x]=1;
		val[x]=val[x]-val[f];
	}else if(ty[f]==1 && ty[x]==0){
		ty[x]=0;
		val[x]=val[x]-val[f];
	}else if(ty[f]==0 && ty[x]==1){
		ty[x]=0;
		val[x]=val[x]+val[f];
	}else{
		ty[x]=1;
		val[x]=val[x]+val[f];
	}
	fa[x]=F;
	return F;
}

ll tp0[222222],tp1[222222];
int main()
{
#ifdef JCVB
	//freopen("1.in","r",stdin);
	//freopen("1.out","w",stdout);
	int _time_jc=clock();
#endif
	fil(tp0,63);
	fil(tp1,63);
	gn(r);gn(c);
	rep(i,1,r+c+1)fa[i]=i;
	rep(i,1,r+c+1){
		ty[i]=1;
		val[i]=0;
	}

	int n;gn(n);
	rep(i,1,n+1){
		int u,v;
		ll s;
		gn(u);gn(v);gn(s);
		v+=r;
		if(gf(u)!=gf(v)){
			if(ty[u]==0 && ty[v]==0){
				ll ns=val[u]+val[v]-s;
				ty[gf(u)]=0;
				val[gf(u)]=ns;
				fa[fa[u]]=gf(v);
			}
			if(ty[u]==1 && ty[v]==0){
				swap(u,v);
			}

			if(ty[u]==0 && ty[v]==1){
				ll ns=val[u]+val[v]-s;
				ty[gf(u)]=1;
				val[gf(u)]=ns;
				fa[fa[u]]=gf(v);
			}
			if(ty[u]==1 && ty[v]==1){
				ll ns=-(val[u]+val[v]-s);
				ty[gf(u)]=0;
				val[gf(u)]=ns;
				fa[fa[u]]=gf(v);
			}
		}else{
			//if(ty[u]==0 && ty[v]==1){


			if(s!=val[u]+val[v]){
				printf("No\n");
				return 0;
			}
			//}
		}
	}

	rep(i,1,r+c+1)gf(i);

	rep(i,1,r+c+1){
		if(ty[i]==0)upmin(tp0[gf(i)],val[i]);
		else upmin(tp1[gf(i)],val[i]);
	}

	rep(i,1,r+c+1)if(gf(i)==i){
		ll x=tp0[i]+tp1[i];
		if(x<0){
				printf("No\n");
				return 0;
			}
	}
	printf("Yes\n");



#ifdef JCVB
	debug("time: %d\n",int(clock()-_time_jc));
#endif
	return 0;
}




Measured memory_bytes: 6784