clc;
clear;

M = 50;
eps = 1e-5;
delta = 0.3;
C = 10.66;

nums = 10:0.1:50;
num = length(nums);
N = zeros(1, num);
upper_bound_C1 = zeros(1, num);
upper_bound_C2 = zeros(1, num);

for i = 1: length(nums)
    N(i) = 10^nums(i);
    upper_bound_C1(i) = get_our_ub(1, N(i), C, M, eps);
    upper_bound_C2(i) = get_wl_ub(N(i), M, eps);
    N(i) = nums(i);
end

semilogy(N, upper_bound_C1, 'r-', N, upper_bound_C2, 'b');
xlabel("log_{10}(N)");
ylabel("Upper bound of K");
title("Prob(\delta_K < 0.3) >= 1 - 10^{-5}")