/*** author: yuji9511 ***/ #include using namespace std; using ll = long long; using lpair = pair; const ll MOD = 1e9+7; const ll INF = 1e18; #define rep(i,m,n) for(ll i=(m);i<(n);i++) #define rrep(i,m,n) for(ll i=(m);i>=(n);i--) #define printa(x,n) for(ll i=0;i void print(H&& h, T&&... t){cout<(t)...);} void solve(){ ll N; cin >> N; ll a[100010], b[100010]; rep(i,0,N) cin >> a[i]; rep(i,0,N) cin >> b[i]; ll sumA = 0, sumB = 0; rep(i,0,N) sumA += a[i]; rep(i,0,N) sumB += b[i]; ll diff = N-2; if(N == 2){ if(sumA == sumB){ print(abs(a[0] - b[0])); }else{ print(-1); } return; } if(sumA - sumB < 0){ print(-1); }else if((sumA - sumB) % diff != 0){ print(-1); }else{ ll ans = (sumA - sumB) / diff; bool ok = true; rep(i,0,N){ a[i] -= ans; } ll v = 0; rep(i,0,N){ if(b[i] - a[i] < 0 || (b[i] - a[i]) % 2 == 1){ ok = false; }else{ v += (b[i] - a[i]) / 2; } } if(ans != v) ok = false; if(ok){ print(ans); }else{ print(-1); } } } int main(){ cin.tie(0); ios::sync_with_stdio(false); solve(); }