#include <iostream>
#include <vector>
#include <string>
#include <algorithm>
#include <cmath>
#include <queue>
#include <climits>
#include <set>
#include <map>
#include <stack>
#include <iomanip>
#include <tuple>
#include <cstdio>
#include <numeric>
#include <unordered_set>
#include <unordered_map>
#include <cstdint>
#define ll long long
#define rep(i, s, n) for (ll i = (ll)(s); i < (ll)(n); i++)
#define all(a) (a).begin(), a.end()
#define rall(a) (a).rbegin(),(a).rend()
#define PI 3.14159265359
#define mod 1000000007
#define P pair<ll, ll>
#define V vector<ll>
#define C vector<char>
#define B vector<bool>
#define endl '\n'
using namespace std;
using graph = vector<vector<ll>>;
const ll MAX = 510000;
const ll MOD = 1000000007;

ll fac[MAX], finv[MAX], inv[MAX];


// テーブルを作る前処理
void cominit()
{
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (ll i = 2; i < MAX; i++)
    {
        fac[i] = fac[i - 1] * i % MOD;
        inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
        finv[i] = finv[i - 1] * inv[i] % MOD;
    }
}

// mod. m での a の逆元 a^{-1} を計算する
ll modinv(ll a, ll m)
{
    ll b = m, u = 1, v = 0;
    while (b)
    {
        ll t = a / b;
        a -= t * b;
        swap(a, b);
        u -= t * v;
        swap(u, v);
    }
    u %= m;
    if (u < 0)
        u += m;
    return u;
}

// 二項係数計算nCk,n<=10^7,k<=10^7まで
ll com(ll n, ll k)
{
    if (n < k)
        return 0;
    if (n < 0 || k < 0)
        return 0;
    return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}
//二項係数nCk,n<=10^9,k<=10^7まで
ll com2(ll n,ll k){
    ll res,bs=1,bb=1;
    for(ll i=0;i<k;i++){
        bs=(bs*(n-i))%mod;
        bb=(bb*(i+1))%mod;
    }
    res=modinv(bb,mod)%mod;
    res=(res*bs)%mod;
    return res;
}

// 二項係数計算nPk
ll per(ll n, ll k)
{
    if (n < k)
        return 0;
    if (n < 0 || k < 0)
        return 0;
    return fac[n] * (finv[n - k] % MOD) % MOD;
}


/* ユークリッドの互除法 最大公約数*/
/*ll gcd(ll a, ll b)
{
    return b ? gcd(b, a % b) : a;
}*/

/*最小公倍数*/
/*
ll lcm(ll a, ll b)
{
    return a / gcd(a, b) * b;
}*/

/*二点間の距離*/
double dist(pair<double, double> a, pair<double, double> b)
{
    return sqrt(pow((a.first - b.first), 2) + pow((a.second - b.second), 2));
}

//繰り返し自乗法
double ism(double aa, ll p)
{
    double ap = aa;
    double ans = 1;
    while (p > 0)
    {
        //cout<<"p="<<p<<",ap="<<ap<<endl;
        if (p & 1)
        { //奇数が真
            ans *= ap;
        }
        p /= 2;
        ap = ap * ap;
    }
    return ans;
}
//繰り返し自乗法(アマリトリバージョン)
ll ismm(ll aa, ll p)
{
    ll ap = aa;
    ll ans = 1;
    while (p > 0)
    {
        //cout<<"p="<<p<<",ap="<<ap<<endl;
        if (p & 1)
        { //奇数が真
            ans = (ans * ap) % mod;
        }
        p /= 2;
        ap = (ap * ap) % mod;
    }
    return ans;
}



struct UnionFind
{
    vector<ll> par;

    UnionFind(ll n) : par(n, -1) {}

    ll root(ll x)
    {
        if (par[x] < 0)
            return x;
        else
            return par[x] = root(par[x]);
    }

    bool issame(ll x, ll y)
    {
        return root(x) == root(y);
    }

    bool merge(ll x, ll y)
    {
        x = root(x);
        y = root(y);
        if (x == y)
            return false;
        if (par[x] > par[y])
            swap(x, y); // merge technique
        par[x] += par[y];
        par[y] = x;
        return true;
    }
    ll size(ll x)
    {
        return -par[root(x)];
    }
};


template <std::uint_fast64_t Modulus> class modint {
  using u64 = std::uint_fast64_t;

public:
  u64 a;

    constexpr modint(const u64 x = 0) noexcept : a(x % Modulus) {}
    constexpr u64 &value() noexcept { return a; }
    constexpr const u64 &value() const noexcept { return a; }

    constexpr modint operator+(const modint rhs) const noexcept {
        return modint(*this) += rhs;
    }
    constexpr modint operator-(const modint rhs) const noexcept {
        return modint(*this) -= rhs;
    }
    constexpr modint operator*(const modint rhs) const noexcept {
        return modint(*this) *= rhs;
    }
    constexpr modint operator/(const modint rhs) const noexcept {
        return modint(*this) /= rhs;
    }


    constexpr modint &operator ++(auto) noexcept {
        ++a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr modint &operator --(auto) noexcept {
        --a;
        if(a<0){
            a+=Modulus;
        }
        return *this;
    }

    constexpr modint &operator+=(const modint rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
        a -= Modulus;
        }
        return *this;
    }
    constexpr modint &operator-=(const modint rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr modint &operator*=(const modint rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr modint &operator/=(modint rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp % 2) {
                *this *= rhs;
            }
            rhs *= rhs;
            exp /= 2;
        }
        return *this;
    }
};

//小数点12桁
struct all_init
{
    all_init()
    {
        cout << fixed << setprecision(0);
    }
} All_init;

int main()
{
    ll s,t,m,p=LLONG_MAX,q=LLONG_MAX;
    cin>>s>>t>>m;
    V a(s),b(t);
    rep(i,0,s){
        cin>>a[i];
        p=min(a[i],p);
    }
    rep(i,0,t){
        cin>>b[i];
        q=min(b[i],q);
    }
    ll ans=p+q;
    V x(m),y(m),c(m);
    
    rep(i,0,m){
        cin>>x[i]>>y[i]>>c[i];
        ans=min(a[x[i]-1]+b[y[i]-1]-c[i],ans);
    }
    cout<<ans<<endl;
    
    
}


Measured memory_bytes: 4224