This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <unordered_map>
#include <algorithm>
#include <iostream>
#include <numeric>
#include <cassert>
#include <vector>
#include <ctime>
#include <map>
typedef long long llong;
const int MAXN = 1000 + 10;
const int INF = 1e9;
int n, k;
int a[MAXN];
int b[MAXN];
int cnt[MAXN];
std::vector <std::pair <int,int>> ops;
void solve()
{
int sum = 0;
for (int i = 1 ; i <= n ; ++i)
{
sum += a[i];
}
for (int i = 1 ; i <= n ; ++i)
{
b[i] = a[i];
}
sum %= n;
bool isOk = false;
for (int i = 1 ; i <= n ; ++i)
{
if ((k * i + sum) % n == 0)
{
isOk = true;
break;
}
}
if (!isOk)
{
std::cout << -1 << '\n';
exit(0);
}
int max = 0;
for (int i = 1 ; i <= n ; ++i)
{
max = std::max(max, a[i]);
}
for (int i = 1 ; i <= n ; ++i)
{
while (a[i] < max)
{
a[i] += k;
ops.push_back({1, i});
}
}
for (int i = 1 ; i <= n ; ++i)
{
a[i] -= max;
}
// std::cerr << "at the begining: " << ops.size() << "\n";
// for (int i = 1 ; i <= n ; ++i)
// {
// std::cerr << a[i] << ' ';
// }
// std::cerr << '\n';
bool wasEven = (n % 2 == 0);
// k = 2 from now on
if (n % 2 == 0)
{
n--;
}
int times = 0;
for (int i = 1 ; i + 1 <= n ; ++i)
{
if (a[i] == 0 && a[i + 1] == 0)
{
ops.push_back({2, i});
a[i]++; a[i + 1]++;
i++;
}
}
for (int i = 1 ; i <= n ; i += 2)
{
if (a[i] == 0)
{
ops.push_back({1, i});
for (int j = 1 ; j < i ; j += 2)
{
ops.push_back({2, j});
}
for (int j = i + 1 ; j < n ; j += 2)
{
ops.push_back({2, j});
}
a[i]++;
times++;
}
}
for (int i = 2 ; i <= n ; i += 2)
{
if (a[i] == 0)
{
ops.push_back({1, i});
a[i] += 2;
}
}
times++;
for (int i = 1 ; i <= n ; ++i)
{
a[i]--;
}
for (int i = 1 ; i + 1 <= n ; ++i)
{
if (a[i] == 0 && a[i + 1] == 0)
{
ops.push_back({2, i});
a[i]++; a[i + 1]++;
i++;
}
}
for (int i = 1 ; i <= n ; i += 2)
{
if (a[i] == 0)
{
ops.push_back({1, i});
for (int j = 1 ; j < i ; j += 2)
{
ops.push_back({2, j});
}
for (int j = i + 1 ; j < n ; j += 2)
{
ops.push_back({2, j});
}
a[i]++;
times++;
}
}
if (wasEven)
{
n++;
for (const auto &[t, x] : ops)
{
if (t == 1) b[x] += 2;
else
{
b[x]++;
b[x + 1]++;
}
}
while (b[n] < b[1])
{
b[n] += 2;
ops.push_back({1, n});
}
assert(b[1] == b[n]);
}
// std::cerr << "at the end\n";
// for (int i = 1 ; i <= n ; ++i)
// {
// std::cerr << a[i] << ' ';
// }
// std::cerr << '\n';
}
void input()
{
std::cin >> n >> k;
for (int i = 1 ; i <= n ; ++i)
{
std::cin >> a[i];
}
}
void print()
{
std::cout << ops.size() << '\n';
for (const auto &[x, y] : ops)
{
std::cout << x << ' ' << y << '\n';
}
}
void fastIOI()
{
std::ios_base :: sync_with_stdio(0);
std::cout.tie(nullptr);
std::cin.tie(nullptr);
}
int main()
{
fastIOI();
input();
solve();
print();
return 0;
}
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