From a14a096c787a71f6e60a108f9640b6127b997404 Mon Sep 17 00:00:00 2001
From: crupest <crupest@outlook.com>
Date: Wed, 24 Feb 2021 15:32:25 +0800
Subject: import(solutions): Add acwing problem 4 (aka multiple pack problem).

---
 works/solutions/acwing/4.cpp | 51 ++++++++++++++++++++++++++++++++++++++++++++
 1 file changed, 51 insertions(+)
 create mode 100644 works/solutions/acwing/4.cpp

(limited to 'works/solutions/acwing/4.cpp')

diff --git a/works/solutions/acwing/4.cpp b/works/solutions/acwing/4.cpp
new file mode 100644
index 0000000..3270402
--- /dev/null
+++ b/works/solutions/acwing/4.cpp
@@ -0,0 +1,51 @@
+#include <algorithm>
+#include <iostream>
+
+int N, V;
+int v[101];
+int w[101];
+int s[101];
+int states[101];
+
+void CompletePack(int v, int w) {
+  for (int j = v; j <= V; j++) {
+    states[j] = std::max(states[j], states[j - v] + w);
+  }
+}
+
+void ZeroOnePack(int v, int w) {
+  for (int j = V; j >= v; j--) {
+    states[j] = std::max(states[j], states[j - v] + w);
+  }
+}
+
+int main() {
+  std::cin >> N >> V;
+
+  for (int i = 1; i <= N; i++) {
+    std::cin >> v[i] >> w[i] >> s[i];
+  }
+
+  for (int i = 1; i <= N; i++) {
+    if (v[i] * s[i] >= V) {
+      CompletePack(v[i], w[i]);
+    } else {
+      int k = 1;
+      int amount = s[i];
+
+      while (k < amount) {
+        ZeroOnePack(k * v[i], k * w[i]);
+        amount -= k;
+        k *= 2;
+      }
+
+      if (amount != 0) {
+        ZeroOnePack(amount * v[i], amount * w[i]);
+      }
+    }
+  }
+
+  std::cout << states[V];
+
+  return 0;
+}
-- 
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