#ifndef LOCAL #define FAST_IO #endif // ============ #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #define OVERRIDE(a, b, c, d, ...) d #define REP2(i, n) for (i32 i = 0; i < (i32)(n); ++i) #define REP3(i, m, n) for (i32 i = (i32)(m); i < (i32)(n); ++i) #define REP(...) OVERRIDE(__VA_ARGS__, REP3, REP2)(__VA_ARGS__) #define PER(i, n) for (i32 i = (i32)(n) - 1; i >= 0; --i) #define ALL(x) begin(x), end(x) using namespace std; using u32 = unsigned int; using u64 = unsigned long long; using i32 = signed int; using i64 = signed long long; using f64 = double; using f80 = long double; template using Vec = vector; template bool chmin(T &x, const T &y) { if (x > y) { x = y; return true; } return false; } template bool chmax(T &x, const T &y) { if (x < y) { x = y; return true; } return false; } template Vec> runlength(const Vec &a) { if (a.empty()) { return Vec>(); } Vec> ret; i32 prv = 0; REP(i, 1, a.size()) { if (a[i - 1] != a[i]) { ret.emplace_back(prv, i, a[i - 1]); prv = i; } } ret.emplace_back(prv, (i32)a.size(), a.back()); return ret; } #ifdef INT128 using u128 = __uint128_t; using i128 = __int128_t; istream &operator>>(istream &is, i128 &x) { i64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, i128 x) { os << (i64)x; return os; } istream &operator>>(istream &is, u128 &x) { u64 v; is >> v; x = v; return is; } ostream &operator<<(ostream &os, u128 x) { os << (u64)x; return os; } #endif [[maybe_unused]] constexpr i32 INF = 1000000100; [[maybe_unused]] constexpr i64 INF64 = 3000000000000000100; struct SetUpIO { SetUpIO() { #ifdef FAST_IO ios::sync_with_stdio(false); cin.tie(nullptr); #endif cout << fixed << setprecision(15); } } set_up_io; // ============ #ifdef DEBUGF #else #define DBG(x) (void)0 #endif int main() { i32 n; cin >> n; Vec a(n); REP(i, n) { cin >> a[i]; } sort(ALL(a)); REP(i, n) { a[i] -= i; } Vec b(n - 1); REP(i, n - 1) { b[i] = a[i] - a[i + 1]; } i64 ans = 0; i32 cur = 0; while (cur < n - 1) { while (cur < n - 1 && b[cur] < 0) { ++cur; } Vec c; while (cur < n - 1 && b[cur] >= 0) { c.push_back(b[cur++]); } REP(i, c.size()) { ans += (i64)min(i + 1, (i32)c.size() - i) * c[i]; } } cout << ans << '\n'; }