From 2f7eb7552b036fdfd4d52b62e15f295ff5852f36 Mon Sep 17 00:00:00 2001
From: Baoshuo <i@baoshuo.ren>
Date: Sat, 3 Sep 2022 17:08:35 +0800
Subject: [PATCH] =?UTF-8?q?P1120=20=E5=B0=8F=E6=9C=A8=E6=A3=8D?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

https://www.luogu.com.cn/record/85778864
---
 Luogu/P1120/P1120.cpp | 76 +++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 76 insertions(+)
 create mode 100644 Luogu/P1120/P1120.cpp

diff --git a/Luogu/P1120/P1120.cpp b/Luogu/P1120/P1120.cpp
new file mode 100644
index 00000000..b4fb0f42
--- /dev/null
+++ b/Luogu/P1120/P1120.cpp
@@ -0,0 +1,76 @@
+#include <iostream>
+#include <algorithm>
+#include <functional>
+#include <numeric>
+
+using std::cin;
+using std::cout;
+const char endl = '\n';
+
+const int N = 70;
+
+int n, m, l, a[N], next[N];
+bool vis[N]{false, true};
+
+void dfs(int now, int last, int rest) {
+    if (!rest) {
+        if (now == m) {
+            cout << l << endl;
+
+            exit(0);
+        }
+
+        for (int i = 1; i <= n; i++) {
+            if (!vis[i]) {
+                vis[i] = true;
+                dfs(now + 1, i, l - a[i]);
+                vis[i] = false;
+
+                break;
+            }
+        }
+    }
+
+    int p = std::lower_bound(a + last + 1, a + n + 1, rest, std::greater<int>()) - a;
+
+    for (int i = p; i <= n; i++) {
+        if (!vis[i]) {
+            vis[i] = true;
+            dfs(now, i, rest - a[i]);
+            vis[i] = false;
+
+            if (rest == a[i] || rest == l) return;
+            i = next[i];
+        }
+    }
+}
+
+int main() {
+    std::ios::sync_with_stdio(false);
+    cin.tie(nullptr);
+
+    cin >> n;
+
+    for (int i = 1; i <= n; i++) {
+        cin >> a[i];
+    }
+
+    int sum = std::accumulate(a + 1, a + 1 + n, 0);
+
+    std::sort(a + 1, a + 1 + n, std::greater<int>());
+
+    for (int i = n; i; i--) {
+        next[i] = a[i] == a[i + 1] ? next[i + 1] : i;
+    }
+
+    for (l = a[1]; l <= sum / 2; l++) {
+        if (sum % l) continue;
+
+        m = sum / l;
+        dfs(1, 1, l - a[1]);
+    }
+
+    cout << sum << endl;
+
+    return 0;
+}