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1. What does this program print? ``

cpp
#include <iomanip>
#include <iostream>
#include <string>

int main() {
    const int rows = 3;
    const int last = rows * (rows + 1) / 2;
    const int width = static_cast<int>(std::to_string(last).size());
    int next = 1;
    for (int row = 1; row <= rows; ++row) {
        for (int col = 1; col <= row; ++col) {
            if (col > 1) std::cout << ' ';
            std::cout << std::setw(width) << next;
            ++next;
        }
        std::cout << '\n';
    }
}

``

1 2 3 4 5 61 2 3 4 5 6 71 2 3 4 5 61 3 4 5 6 7

2. What does this program print? ``

cpp
#include <iostream>

long long binomial(int n, int k) {
    long long result = 1;
    for (int i = 1; i <= k; ++i) result = result * (n - k + i) / i;
    return result;
}

int main() {
    std::cout << binomial(7, 3) << ' ' << binomial(7, 0) << ' ' << binomial(6, 2) << '\n';
}

``

35 7 1521 1 1535 1 635 1 15

3. What does this program print? ``

cpp
#include <iostream>
#include <vector>

int main() {
    const int rows = 5;
    std::vector<long long> row = {1};
    std::cout << "row sums:";
    for (int r = 0; r < rows; ++r) {
        long long sum = 0;
        for (long long v : row) sum += v;
        std::cout << ' ' << sum;
        row.push_back(1);
        for (int c = static_cast<int>(row.size()) - 2; c >= 1; --c) row[c] += row[c - 1];
    }
    std::cout << '\n';
}

``

row sums: 1 1 2 3 5row sums: 1 2 4 8 16row sums: 1 2 4 8 15row sums: 1 2 3 4 5

4. Row 10 of Pascal's triangle adds up to 2 raised to the power ___. Fill in the exponent.

Type your answer.

5. Store the values as ___ so that the middle value of row 34 does not overflow.

Type your answer.

Triangles