Oct 2025 1

LeetCode/Algorithms/CountSubsetsWithSumK.cpp

@@ -0,0 +1,32 @@
+int mod = (int)(1e9 + 7);
+int f(vector<int> &arr, int ind, int sum, vector<vector<int>> &dp) {
+	// if(sum == 0) return 1; 
+	if(ind == 0) {
+		if(sum == 0 && arr[0] == 0) return 2;   // 0 0 1 2 3, target = 5 - to handle case where multiple 0's
+		if(sum == 0) return 1;  // 
+		return arr[0] == sum; 
+		// if(sum == 0 || sum == arr[0]) return 1; 
+		// return 0; 
+	}
+	if(dp[ind][sum] != -1) return dp[ind][sum]; 
+	// not take 
+	int notTake = f(arr, ind - 1, sum, dp); 
+
+	// take 
+	int take = 0; 
+	if(sum >= arr[ind]) {
+		take = f(arr, ind -1, sum - arr[ind], dp); 
+	}
+
+	return dp[ind][sum] = (take + notTake) % mod; 
+}
+
+int findWays(vector<int>& arr, int k)
+{
+	// Write your code here.
+	int n = arr.size(); 
+	vector<vector<int>> dp(n, vector<int>(k + 1, -1)); 
+	return f(arr, n-1, k, dp);
+}
+
+

LeetCode/Algorithms/DisjoinSet.cpp

@@ -0,0 +1,78 @@
+#include <bits/stdc++.h>
+using namespace std; 
+class DisjoinSet {
+    vector<int> rank, parent, size; 
+
+public: 
+    DisjoinSet(int n) {
+        rank.resize(n + 1, 0); 
+        size.resize(n + 1, 0); 
+        parent.resize(n + 1); 
+        for(int i=0; i<=n; i++) {
+            parent[i] = i; 
+            size[i] = 1; 
+        }
+    }
+
+    int findUPar(int node) {
+        if(node == parent[node]) {
+            return node;
+        }
+        return parent[node] = findUPar(parent[node]); 
+    }
+
+    void UnionByRank(int u, int v) {
+        int ulp_u = findUPar(u); 
+        int ulp_v = findUPar(v); 
+
+        if(ulp_u == ulp_v) {
+            return; 
+        } else if(rank[ulp_v] > rank[ulp_u]) {
+            parent[ulp_u] = ulp_v; 
+        } else if(rank[ulp_u] > rank[ulp_v]) {
+            parent[ulp_v] = ulp_u; 
+        } else if(rank[ulp_u] == rank[ulp_v]) {
+            parent[ulp_v] = ulp_u; 
+            rank[ulp_v]++; 
+        }
+    }
+
+    void UnionBySize(int u, int v) {
+            int ulp_u = parent[u]; 
+            int ulp_v = parent[v]; 
+
+            if(ulp_u == ulp_v) return;
+            if(size[ulp_u] > size[ulp_v]) {
+                size[ulp_u] += size[ulp_v]; 
+                parent[ulp_v] = ulp_u; 
+            } else {
+                size[ulp_v] += size[ulp_u];
+                parent[ulp_u] = ulp_v; 
+            }
+    }
+};
+
+int main() {
+    DisjoinSet ds(7); 
+    ds.UnionByRank(1, 2); 
+    ds.UnionByRank(2, 3); 
+    ds.UnionByRank(4, 5); 
+    ds.UnionByRank(6, 7); 
+    ds.UnionByRank(5, 6); 
+    // ds.UnionByRank(1, 2); 
+
+    // if 3 and 7 same or not
+    if(ds.findUPar(3) == ds.findUPar(7)) {
+        cout<<"Same"<<endl;
+    } else {
+        cout<<"Not Same"<<endl;
+    }
+    ds.UnionByRank(3, 7); 
+    if(ds.findUPar(3) == ds.findUPar(7)) {
+        cout<<"Same"<<endl;
+    } else {
+        cout<<"Not Same"<<endl;
+    }
+
+    return 0; 
+}

LeetCode/Algorithms/Hard/CountSubarraysWithScoreLessThanK.cpp

@@ -0,0 +1,66 @@
+#define ll long long
+class Solution {
+    public:
+        long long countSubarrays(vector<int>& nums, long long k) {
+            ll left = 0, right = 0;    // window is [left, right)
+            ll sum = 0;         // sum of nums[left ... right -1]
+            ll count = 0; 
+
+            ll n = nums.size(); 
+
+            while(left < n) {
+                // find larget valid window 
+                while(right < n && (sum + nums[right] * (right - left + 1) < k)) {
+                    sum += nums[right];
+                    right++; 
+                }
+
+                // All subarrays starting at 'left' and ending before 'right' are valid 
+                count += right - left; 
+
+                // Slide the window forward by removing nums[left] 
+                // If we couldn't even include nums[left], move both pointer past it
+                if(left == right) {
+                    right++; 
+                } else {
+                    sum -= nums[left];
+                }
+
+                left++; 
+            }
+
+            return count;
+        }
+};
+
+/*
+
+Time Complexity - O(N)
+Space Complexity - O(1)
+
+Counting Logic 
+      0  1  2  3  4  5 
+a[]: [2, 1, 1, 3, 4, 1], k = 15 
+      |        |  
+     start     end
+
+1. Increase end till sum * len < k
+2. Count = end - start 
+3. Increase start pointer and again when sum * len >= k, 
+   calculate count and increment start++ pointer
+
+[start, End) => largest subarray starting at '0' which has (sum * size) < k 
+
+start, end - 1   ie  4 * 3 < 15 
+
+Count of such Subarrays start at '0' = 3 
+
+in general [start, start], [start, start+ 1], ... [start, end-1]
+
+count = end - start 
+
+// Two Pointer + Sliding Window 
+
+
+
+*/