#include<bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
#define SZ(x) ((int)x.size())
#define L(i,u) for (register int i=head[u]; i; i=nxt[i])
#define rep(i,a,b) for (register int i=(a); i<=(b); i++)
#define per(i,a,b) for (register int i=(a); i>=(b); i--)
using namespace std;
typedef long long ll;
typedef unsigned int ui;
typedef pair<int,int> Pii;
typedef vector<int> Vi;
template<class T> inline void read(T &x){
	x=0; char c=getchar(); int f=1;
	while (!isdigit(c)) {if (c=='-') f=-1; c=getchar();}
	while (isdigit(c)) {x=x*10+c-'0'; c=getchar();} x*=f;
}
template<class T> inline void umin(T &x, T y){x=x<y?x:y;}
template<class T> inline void umax(T &x, T y){x=x>y?x:y;}
inline ui R() {
	static ui seed=416;
	return seed^=seed>>5,seed^=seed<<17,seed^=seed>>13;
}
const int N = 1023333,mo=1e9+7,inv2=(mo+1)/2;
inline void add(int &x, int y){x=x+y<mo?x+y:x+y-mo;}
inline int power(int a, int n) {
	int res=1;
	while (n) {
		if (n&1) res=1LL*res*a%mo;
		a=1LL*a*a%mo; n>>=1;
	}
	return res;
}
int fac[N],ifac[N];
void iniC(int n){
	fac[0]=1;rep(i,1,n)fac[i]=1LL*fac[i-1]*i%mo;
	ifac[n]=power(fac[n],mo-2);
	per(i,n-1,0)ifac[i]=1LL*ifac[i+1]*(i+1)%mo;
}
inline int C(int n, int m){return m>=0&&m<=n?1LL*fac[n]*ifac[m]%mo*ifac[n-m]%mo:0;}
int n,m,k,res,f[N];
int main() {
	read(n);read(m);read(k);iniC(N-1);
	f[0]=1;
	rep(i,1,m+k){
		f[i]=((1LL*f[i-1]*2-C(i-1,m)-C(i-1,i-1-k))%mo+mo)%mo;
	}
	rep(i,n,n+m+k)
		res=(res+1LL*C(i-1,n-1)*f[i-n]%mo*power(3,n+m+k-i))%mo;
	cout<<res;
	return 0;
}
