From 30af6a8b6b4e372f8910ac25962e262fd3404fdc Mon Sep 17 00:00:00 2001
From: namanhere23 <namanhere23code@gmail.com>
Date: Thu, 30 Oct 2025 20:18:09 +0530
Subject: [PATCH] Add Minimum Number of Coins

---
 DSA/MinimumNumberOfCoins.cpp | 39 ++++++++++++++++++++++++++++++++++++
 1 file changed, 39 insertions(+)
 create mode 100644 DSA/MinimumNumberOfCoins.cpp

diff --git a/DSA/MinimumNumberOfCoins.cpp b/DSA/MinimumNumberOfCoins.cpp
new file mode 100644
index 0000000..4c2727d
--- /dev/null
+++ b/DSA/MinimumNumberOfCoins.cpp
@@ -0,0 +1,39 @@
+#include <bits/stdc++.h>
+using namespace std;
+
+int minCoins(vector<int>& coins, int amount) {
+    const int INF = 1e9; 
+    vector<int> dp(amount + 1, INF);
+    dp[0] = 0; 
+
+    for (int coin : coins) {
+        for (int x = coin; x <= amount; x++) {
+            dp[x] = min(dp[x], dp[x - coin] + 1);
+        }
+    }
+
+    return (dp[amount] == INF) ? -1 : dp[amount];
+}
+
+int main() {
+    int n, amount;
+    cout << "Enter number of coin types: ";
+    cin >> n;
+
+    vector<int> coins(n);
+    cout << "Enter coin denominations: ";
+    for (int i = 0; i < n; i++)
+        cin >> coins[i];
+
+    cout << "Enter the amount: ";
+    cin >> amount;
+
+    int result = minCoins(coins, amount);
+
+    if (result == -1)
+        cout << "It is not possible to make the amount with given coins"<<endl;
+    else
+        cout << "Minimum number of coins required: " << result << endl;
+
+    return 0;
+}