C++ Algorithms for Binary Search and Prefix Sums

C++ Competitive Programming Solutions

This document contains several C++ solutions for common algorithmic problems involving prefix sums, binary search, and matrix manipulation.

1. Prefix Sum and Lower Bound Algorithm

#include <bits/stdc++.h>
using namespace std;

int main() {
    int n;
    long long k;

    cin >> n >> k;

    vector<long long> pref(n + 1, 0);

    for (int i = 1; i <= n; i++) {
        long long x;
        cin >> x;
        pref[i] = pref[i - 1] 
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C++ Algorithms and Binary Search Implementation Codes

C++ Binary Search and Algorithms Collection

1. Binary Search Implementation

#include <iostream> 
using namespace std;
int main(){
    int n; 
    cin >> n;
    int a[100000];
    for (int i = 0; i < n; i++)
        cin >> a[i];
    int x;
    cin >> x;
    int l = 0, r = n - 1;
    while (l <= r) {
        int m = (l + r) / 2;
        if (a[m] == x) {
            cout << "Yes";
            return 0;
        }
        if (a[m] < x)
            l = m + 1;
     
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Altair Cheat Sheet Python: Data Visualization Reference

Altair Cheat Sheet Python

01 Build a chart


1. Import + general pattern

import altair as alt
chart = (
    alt.Chart(data).mark_…()
    .encode(x=…, y=…, color=…)
    .transform_…(…).properties(…)
    .interactive()
)

2. Choose a chart type

mark_bar   bars / aggregated comparison
mark_line   trends over an ordered axis
mark_circle   scatter plots
mark_area   filled trends / totals
mark_rect   heat maps
mark_arc   pie or donut charts
mark_boxplot   distribution summaries
mark_geoshape

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Essential Web Development and Java Networking Concepts

CSS Box Model Explained

Every HTML element is treated as a rectangular box made up of four layers, from inside out:

┌─────────────────────────────┐
│          MARGIN             │
│  ┌─────────────────────────┐ │
│  │        BORDER           │ │
│  │  ┌─────────────────────┐ │ │
│  │  │      PADDING        │ 
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Java Object-Oriented Programming Concepts and Solutions

Core Concepts of Object-Oriented Programming

False. An abstract class cannot be instantiated directly. You cannot create an object of an abstract class using new. You must create an object of a concrete subclass.

False. Java does not allow a class to extend more than one class. However, a class can implement multiple interfaces.

False. Method overloading means having the same method name but different parameter lists. A different return type alone is not enough.

True. The reference type determines which

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It used to define the member functions of a class outside

 15 Demonstrate nesting of member function.

Class


Student { int marks;
void showMarks() { cout
<< "Marks = " << marks << endl;       } public: Void getMarks() { marks = 85; ShowMarks(); // Calling another member function } }; Int main() { Student s; S.GetMarks(); Return 0; }

4 Write a short note on defining member functions.1. Defining the function inside the class 

class Student
{   int age;

public:
    void display()
    {   cout << “Age = ” << age;

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