LibreOJ: 2292

「THUSC 2016」成绩单

Author: Macesuted

LibreOJ/2292.cpp

@@ -0,0 +1,67 @@
+/**
+ * @file 2292.cpp
+ * @author Macesuted ([email protected])
+ * @date 2022-09-12
+ *
+ * @copyright Copyright (c) 2022
+ *
+ */
+
+#include <bits/stdc++.h>
+using namespace std;
+
+#ifndef LOCAL
+#define endl '\n'
+#endif
+
+bool mem1;
+
+#define maxn 55
+
+int a[maxn], v[maxn], f[maxn][maxn][maxn][maxn], g[maxn][maxn];
+
+void solve(void) {
+    int n, A, B;
+    cin >> n >> A >> B;
+    for (int i = 1; i <= n; i++) cin >> a[i], v[i] = a[i];
+    sort(v + 1, v + n + 1);
+    int vn = unique(v + 1, v + n + 1) - v - 1;
+    for (int i = 1; i <= n; i++) a[i] = lower_bound(v + 1, v + vn + 1, a[i]) - v;
+    memset(f, 0x3f, sizeof(f)), memset(g, 0x3f, sizeof(g));
+    for (int i = 1; i <= n; i++) g[i][i] = A;
+    for (int len = 2; len <= n; len++)
+        for (int l = 1, r = len; r <= n; l++, r++)
+            for (int vl = 1; vl <= vn; vl++)
+                for (int vr = vl; vr <= vn; vr++) {
+                    int tl = l, tr = r;
+                    while (tl <= r && vl <= a[tl] && a[tl] <= vr) tl++;
+                    while (tr >= l && vl <= a[tr] && a[tr] <= vr) tr--;
+                    if (tl == r + 1)
+                        f[l][r][vl][vr] = 0;
+                    else {
+                        f[l][r][vl][vr] = g[tl][tr];
+                        for (int k = l; k < r; k++)
+                            f[l][r][vl][vr] = min(f[l][r][vl][vr], f[l][k][vl][vr] + f[k + 1][r][vl][vr]);
+                    }
+                    g[l][r] = min(g[l][r], f[l][r][vl][vr] + A + B * (v[vr] - v[vl]) * (v[vr] - v[vl]));
+                }
+    cout << g[1][n] << endl;
+    return;
+}
+
+bool mem2;
+
+int main() {
+    ios::sync_with_stdio(false), cin.tie(nullptr);
+#ifdef LOCAL
+    cerr << "Memory Cost: " << abs(&mem1 - &mem2) / 1024. / 1024. << "MB" << endl;
+#endif
+
+    int _ = 1;
+    while (_--) solve();
+
+#ifdef LOCAL
+    cerr << "Time Cost: " << clock() * 1000. / CLOCKS_PER_SEC << "MS" << endl;
+#endif
+    return 0;
+}