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| 1 | +/** |
| 2 | + * @file 15899.cpp |
| 3 | + * @author Macesuted (i@macesuted.moe) |
| 4 | + * @date 2026-01-20 |
| 5 | + * |
| 6 | + * @copyright Copyright (c) 2026 |
| 7 | + * |
| 8 | + */ |
| 9 | + |
| 10 | +#include <bits/stdc++.h> |
| 11 | +using namespace std; |
| 12 | + |
| 13 | +#define endl '\n' |
| 14 | + |
| 15 | +#define maxn 500005 |
| 16 | + |
| 17 | +int64_t a[maxn], f[maxn]; |
| 18 | + |
| 19 | +void solve(void) { |
| 20 | + int n; |
| 21 | + cin >> n; |
| 22 | + for (int i = 1; i <= n; i++) cin >> a[i]; |
| 23 | + |
| 24 | + f[1] = a[1], f[n] = 0; |
| 25 | + for (int i = 2; i < n; i++) f[i] = a[i] - f[i - 1]; |
| 26 | + |
| 27 | + if (n & 1) { |
| 28 | + int64_t x = (a[n] - f[n - 1]) / 2; |
| 29 | + for (int i = 1; i < n; i++) f[i] += (i & 1) ? -x : +x; |
| 30 | + f[n] += x; |
| 31 | + |
| 32 | + int64_t maxv = INT64_MIN, sum = 0; |
| 33 | + for (int i = 1; i <= n; i++) maxv = max(maxv, f[i]), sum += f[i]; |
| 34 | + cout << max(maxv, sum / (n - 1) + (sum % (n - 1) > 0)) << endl; |
| 35 | + |
| 36 | + return; |
| 37 | + } |
| 38 | + |
| 39 | + int64_t maxu = INT64_MIN, minu = INT64_MAX, maxd = INT64_MIN, mind = INT64_MAX, sum = 0; |
| 40 | + for (int i = 1; i <= n; i += 2) maxd = max(maxd, f[i]), mind = min(mind, f[i]), sum += f[i]; |
| 41 | + for (int i = 2; i <= n; i += 2) maxu = max(maxu, f[i]), minu = min(minu, f[i]), sum += f[i]; |
| 42 | + |
| 43 | + int64_t ans = INT64_MAX; |
| 44 | + int64_t X = max(min((maxd - maxu) / 2, mind), -minu); |
| 45 | + for (int64_t x = X - 10; x <= X + 10; x++) { |
| 46 | + if (mind - x < 0 || minu + x < 0) continue; |
| 47 | + int64_t maxv = max(maxd - x, maxu + x); |
| 48 | + ans = min(ans, max(maxv, sum / (n - 1) + (sum % (n - 1) > 0))); |
| 49 | + } |
| 50 | + |
| 51 | + cout << ans << endl; |
| 52 | + |
| 53 | + return; |
| 54 | +} |
| 55 | + |
| 56 | +int main() { |
| 57 | + ios::sync_with_stdio(false), cin.tie(nullptr); |
| 58 | + |
| 59 | + int _ = 1; |
| 60 | + cin >> _; |
| 61 | + while (_--) solve(); |
| 62 | + |
| 63 | + return 0; |
| 64 | +} |
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