From f8f53e255dd25e685e61673680bffdb9bd38f323 Mon Sep 17 00:00:00 2001
From: Zengtudor <Zengtudor@outlook.com>
Date: Sat, 6 Sep 2025 17:09:45 +0800
Subject: [PATCH] =?UTF-8?q?feat:=20=E6=B7=BB=E5=8A=A0P1616=E5=92=8CP5020?=
 =?UTF-8?q?=E9=A2=98=E8=A7=A3=E4=BB=A3=E7=A0=81?=
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实现动态规划解法，分别解决背包问题和货币系统问题
---
 src/9/6/P1616.cpp | 24 ++++++++++++++++++++++++
 src/9/6/P5020.cpp | 43 +++++++++++++++++++++++++++++++++++++++++++
 2 files changed, 67 insertions(+)
 create mode 100644 src/9/6/P1616.cpp
 create mode 100644 src/9/6/P5020.cpp

diff --git a/src/9/6/P1616.cpp b/src/9/6/P1616.cpp
new file mode 100644
index 0000000..cbe01e9
--- /dev/null
+++ b/src/9/6/P1616.cpp
@@ -0,0 +1,24 @@
+#include <algorithm>
+#include <cstdint>
+#include <iostream>
+#include <istream>
+#include <vector>
+
+using ll = int64_t;
+
+int main(){
+    std::iostream::sync_with_stdio(false);
+    std::cin.tie(nullptr);
+
+    ll t,m;
+    std::cin>>t>>m;
+    std::vector<ll> dp(t+1);
+    for(ll i=1;i<=m;i++){
+        ll w,v;
+        std::cin>>w>>v;
+        for(ll j=w;j<=t;j++){
+            dp[j]=std::max(dp[j],dp[j-w]+v);
+        }
+    }
+    std::cout<<dp[t]<<"\n";
+}
\ No newline at end of file
diff --git a/src/9/6/P5020.cpp b/src/9/6/P5020.cpp
new file mode 100644
index 0000000..06cba55
--- /dev/null
+++ b/src/9/6/P5020.cpp
@@ -0,0 +1,43 @@
+#include <algorithm>
+#include <cstdint>
+#include <iostream>
+#include <istream>
+#include <vector>
+using ll = int64_t;
+
+ll t;
+
+int main(){
+    std::iostream::sync_with_stdio(false);
+    std::cin.tie(nullptr);
+
+    std::cin>>t;
+    std::vector<ll> a;
+    std::vector<bool> dp;
+    while(t--){
+        ll n;
+        std::cin>>n;
+        ll ans=n;
+        a.clear();
+        dp.clear();
+        a.resize(n+1);
+        
+
+        for(ll i=1;i<=n;i++){
+            std::cin>>a[i];
+        }
+        std::sort(a.begin()+1,a.begin()+1+n);
+        dp.resize(a[n]+1);
+        dp[0]=true;
+        for(ll i=1;i<=n;i++){
+            if(dp[a[i]]){
+                ans--;
+                continue;
+            }
+            for(ll j=a[i];j<=a[n];j++){
+                dp[j]=dp[j]|dp[j-a[i]];
+            }
+        }
+        std::cout<<ans<<"\n";
+    }
+}
\ No newline at end of file