#include "prison.h"
#include <bits/stdc++.h>
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimize("unroll-loops")
#pragma GCC optimize("inline")
#define pb push_back
#define eb emplace_back
#define md ((tl + tr) >> 1)
#define TL v + v, tl, md
#define TR v + v + 1, md + 1, tr
#define all(x) (x).begin(), (x).end()
#define F first
#define S second
using namespace std;
typedef long long ll;
const int N = 3e5 + 7;
const ll INF = 1e18 + 7;
vector <vector <int>> devise_strategy(int n) {
if (n == 2) {
vector <vector <int>> res(1, vector <int> (n + 1));
res[0][0] = 0;
res[0][1] = -1;
res[0][2] = -2;
return res;
}
int lg = 0, z = 1;
while (z <= n) {
lg++;
z *= 3;
}
lg--;
z /= 3;
vector <vector <int>> res(lg * 3 + 2, vector <int> (n + 1));
res[0][0] = !(lg & 1);
for (int i = 1;i <= n;i++) {
res[0][i] = i / z % 3 + 1;
}
int cur = 1;
for (int i = lg;i >= 1;i--) {
res[cur][0] = res[cur + 1][0] = res[cur + 2][0] = i & 1;
for (int j = 1;j <= n;j++) {
int bit = j / z % 3, bit1 = j / (z / 3) % 3;
res[cur][j] = res[cur + 1][j] = res[cur + 2][j] = cur + 3 + bit1;
if (i == 1)
res[cur][j] = res[cur + 1][j] = res[cur + 2][j] = cur + 3;
if (bit == 0) {
res[cur + 1][j] = -1 - (i & 1);
res[cur + 2][j] = -1 - (i & 1);
} else if (bit == 1) {
res[cur][j] = -1 - !(i & 1);
res[cur + 2][j] = -1 - (i & 1);
} else {
res[cur][j] = -1 - !(i & 1);
res[cur + 1][j] = -1 - !(i & 1);
}
if (i == 1) {
if (bit1 == 0) {
if (res[cur][j] > 0)
res[cur][j] = -1 - (i & 1);
if (res[cur + 1][j] > 0)
res[cur + 1][j] = -1 - (i & 1);
if (res[cur + 2][j] > 0)
res[cur + 2][j] = -1 - (i & 1);
} else if (bit1 == 2) {
if (res[cur][j] > 0)
res[cur][j] = -1 - !(i & 1);
if (res[cur + 1][j] > 0)
res[cur + 1][j] = -1 - !(i & 1);
if (res[cur + 2][j] > 0)
res[cur + 2][j] = -1 - !(i & 1);
}
}
}
cur += 3;
z /= 3;
}
for (int i = 1;i <= n;i++) {
if (i % 3 == 0)
res[cur][i] = -1;
else
res[cur][i] = -2;
}
return res;
}
// void solve() {
// int n, m;
// cin >> n >> m;
// vector <int> x(m), y(m), w(m);
// for (int i = 0;i < m;i++)
// cin >> x[i] >> y[i] >> w[i];
// cout << max_weights(n, m, x, y, w);
// }
// signed main() {
// solve();
// return 0;
// }
