#include namespace { #pragma GCC diagnostic ignored "-Wunused-function" #include #pragma GCC diagnostic warning "-Wunused-function" using namespace std; using namespace atcoder; #define rep(i,n) for(int i = 0; i < (int)(n); i++) #define rrep(i,n) for(int i = (int)(n) - 1; i >= 0; i--) #define all(x) begin(x), end(x) #define rall(x) rbegin(x), rend(x) template bool chmax(T& a, const T& b) { if (a < b) { a = b; return true; } else return false; } template bool chmin(T& a, const T& b) { if (b < a) { a = b; return true; } else return false; } using ll = long long; using P = pair; using VI = vector; using VVI = vector; using VL = vector; using VVL = vector; } int main() { ios::sync_with_stdio(false); cin.tie(0); int n; cin >> n; VI a(n); rep(i, n) cin >> a[i]; dsu uf(n); VI left(n), right(n); rep(i, n) left[i] = right[i] = i; int ccnt = n; constexpr int INF = 1001001001; ll ans = INF; int ans_x = -1; VVI evs(2 * n + 1); rep(i, n - 1) { int dx = a[i + 1] - a[i]; if (dx <= 2 * n) { evs[dx].emplace_back(i); } } for(int x = 1; x <= 2 * n; x++) { for(int i: evs[x]) { int li = uf.leader(i), lj = uf.leader(i + 1); int l = uf.merge(li, lj); ccnt--; left[l] = left[li]; right[l] = right[lj]; } if ((ll)ccnt * (x + 1) >= ans) continue; int cnt = 0; rep(i, n) { i = uf.leader(i); cnt += a[right[i]] / x - a[left[i]] / x + 1; i = right[i]; } if (chmin(ans, ll(x + 1) * cnt)) { ans_x = x; } } cout << ans_x << '\n' << ans << '\n'; }