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Solve the Equation

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Special String

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#include <iostream>
#include <cmath>

struct Circle {
    double x; // x-coordinate of the center
    double y; // y-coordinate of the center
    double r; // radius
};

double distanceBetweenCenters(Circle A, Circle B) {
    return sqrt(pow((B.x - A.x), 2) + pow((B.y - A.y), 2));
}

int main() {
    Circle A, B;

    // Example values
    A.x = 0;
    A.y = 0;
    A.r = 5;
    B.x = 10;
    B.y = 0;
    B.r = 7;

    double distance = distanceBetweenCenters(A, B);
    double sumOfRadii = A.r + B.r;
    double differenceOfRadii = abs(A.r - B.r);

    if (distance == sumOfRadii) {
        std::cout &lt;&lt; "The circles are touching at a single point." &lt;&lt; std::endl;
    } else if (distance &lt; sumOfRadii) {
        std::cout &lt;&lt; "The circles are intersecting." &lt;&lt; std::endl;
    } else if (distance == differenceOfRadii) {
        std::cout &lt;&lt; "The circles are touching from within or without." &lt;&lt; std::endl;
    } else {
        std::cout &lt;&lt; "The circles are not intersecting." &lt;&lt; std::endl;
    }

    if ((A.x == B.x) &amp;&amp; (A.y == B.y) &amp;&amp; (A.r == B.r)) {
        std::cout &lt;&lt; "The circles are concentric." &lt;&lt; std::endl;
    }

    return 0;
}


C++

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int min(string str){
unordered_map<char,int>mp;
for(char :str){
  mp[ch]++;
}
unodered_set<int>d;
for(auto it:mp){
  d.insert(it.second);
}
return d.size();

}

Music Teacher
Only 4 test cases pass

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#include <iostream>
#include <vector>
using namespace std;

bool isValidPermutation(const vector<int>&amp; permutation) {
    for (int i = 0; i &lt; permutation.size(); i++) {
        if (permutation[i] % (i + 1) != 0 || (i + 1) % permutation[i] != 0) {
            return false;
        }
    }
    return true;
}

void generatePermutations(vector<int>&amp; nums, int start, vector<vector<int>&gt;&amp; result) {
    if (start == nums.size()) {
        result.push_back(nums);
        return;
    }
    for (int i = start; i &lt; nums.size(); i++) {
        swap(nums[start], nums[i]);
        generatePermutations(nums, start + 1, result);
        swap(nums[start], nums[i]);
    }
}

int countValidPermutations(int N) {
    vector<int> nums(N);
    for (int i = 0; i &lt; N; i++) {
        nums[i] = i + 1;
    }
    vector<vector<int>&gt; permutations;
    generatePermutations(nums, 0, permutations);

    int count = 0;
    for (const auto&amp; perm : permutations) {
        if (isValidPermutation(perm)) {
            count++;
        }
    }
    return count;
}

int main() {
    int N = 2;
    cout &lt;&lt; "Number of valid permutations: " &lt;&lt; countValidPermutations(N) &lt;&lt; endl;
    return 0;
}



Valid permutations

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Valid permutations

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#include <iostream>
#include <string>
#include <iomanip>
#include <vector>
#include <algorithm>

struct Client {
std::string name;
double total_invested_in_bonds;
double total_invested_in_stocks;
};

bool compareByBonds(const Client &amp;a, const Client &amp;b) {
return a.total_invested_in_bonds &gt; b.total_invested_in_bonds;
}

int main() {
std::vector<client> clients = {
{"Client1", 7500.0, 3000.0},
{"Client2", 6000.0, 5000.0},
{"Client3", 4000.0, 6000.0},
// Add more clients as needed
};

// Sort clients based on total_invested_in_bonds in descending order
std::sort(clients.begin(), clients.end(), compareByBonds);

// Display the result
std::cout &lt;&lt; std::left &lt;&lt; std::setw(15) &lt;&lt; "Client Name"
&lt;&lt; std::setw(25) &lt;&lt; "Total Invested in Bonds"
&lt;&lt; "Total Invested in Stocks" &lt;&lt; std::endl;

for (const auto &amp;client : clients) {
if (client.total_invested_in_bonds &gt; 5000.00) {
std::cout &lt;&lt; std::left &lt;&lt; std::setw(15) &lt;&lt; client.name
&lt;&lt; std::fixed &lt;&lt; std::setprecision(2)
&lt;&lt; std::setw(25) &lt;&lt; client.total_invested_in_bonds
&lt;&lt; client.total_invested_in_stocks &lt;&lt; std::endl;
}
}

return 0;
}
You can modify the clients vector to include more clients with their respective investments in bonds and stocks. When you run this program, it will display the result according to the specified requirements.</client></algorithm></vector></iomanip></string></iostream>

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