#include <bits/stdc++.h>
#include "Alice.h"
using namespace std;
using ll = int64_t;
std::vector<std::pair<int,int>> Alice(){
ll X = setN(5000);
vector<int> nums = {88, 135, 254, 293, 349, 362, 619, 833, 862, 943, 966, 1079, 1090, 1134, 1193, 1552, 1588, 1631, 1661, 1681, 1725, 1756, 1875, 1915, 1975, 2009, 2045, 2065, 2161, 2191, 2217, 2249, 2260, 2325, 2426, 2565, 2627, 2641, 2838, 2902, 2954, 2974, 2988, 3044, 3102, 3156, 3188, 3221, 3314, 3342, 3396, 3419, 3482, 3537, 3920, 3941, 4010, 4171, 4181, 4197};
int back = 5000;
set<pair<int, int>> edges;
for (int i = 1; i < 5000; i++) edges.insert({i, i + 1});
for (int i = 1; i < 5000; i++) {
auto it = lower_bound(nums.begin(), nums.end(), i);
if (it != nums.end() && *it == i) {
ll ind = it - nums.begin();
if (!((X >> ind) & 1)) continue;
for (int j = 0; j < 10; j++) {
edges.erase({back - 1, back});
edges.insert({i, back});
back --;
}
}
}
vector<pair<int, int>> vec;
for (auto [u, v] : edges) vec.push_back({u, v});
return vec;
}
#include <bits/stdc++.h>
#include "Bob.h"
using namespace std;
using ll = int64_t;
long long Bob(std::vector<std::pair<int,int>> V){
vector<int> deg(5001, 0);
for (auto [u, v] : V) {
deg[u]++;
deg[v]++;
}
vector<int> nums = {88, 135, 254, 293, 349, 362, 619, 833, 862, 943, 966, 1079, 1090, 1134, 1193, 1552, 1588, 1631, 1661, 1681, 1725, 1756, 1875, 1915, 1975, 2009, 2045, 2065, 2161, 2191, 2217, 2249, 2260, 2325, 2426, 2565, 2627, 2641, 2838, 2902, 2954, 2974, 2988, 3044, 3102, 3156, 3188, 3221, 3314, 3342, 3396, 3419, 3482, 3537, 3920, 3941, 4010, 4171, 4181, 4197};
ll ans = 0;
for (ll i = 0; i < 60; i++) {
ll x = nums[i];
if (deg[x] > 2) ans |= (1LL << i);
}
return ans;
}
