CF 721C
void solve() {
int n, m, T;
cin >> n >> m >> T;
vector<vector<int>> E(n + 1), cost(n + 1);
vector<vector<int>> dp(n + 1, vector<int>(n + 1, INF)), pre(dp);
vector<int> in(n + 1);
for (int i = 1; i <= m; ++i) {
int u, v, t;
cin >> u >> v >> t;
E[u].push_back(v);
cost[u].push_back(t);
in[v]++;
}
queue<int> q;
for (int v = 1; v <= n; ++v) {
if (!in[v]) {
q.push(v);
}
}
pre[1][1] = -1;
dp[1][1] = 0;
// dp[i][j] means the answer when passes j points and the current point is i
while (!q.empty()) {
auto u = q.front();
q.pop();
for (int i = 0; i < E[u].size(); ++i) {
int v = E[u][i], c = cost[u][i];
--in[v];
if (!in[v]) {
q.push(v);
}
for (int t = 2; t <= n; ++t) {
if (dp[v][t] > dp[u][t - 1] + c) {
dp[v][t] = dp[u][t - 1] + c;
pre[v][t] = u;
}
}
}
}
function<void(int, int)> print_trace = [&] (int cur, int t) {
if (pre[cur][t] == -1) {
cout << cur << ' ';
return;
}
print_trace(pre[cur][t], t - 1);
cout << cur << ' ';
};
// reverse iteration
for (int i = n; i >= 1; --i) {
if (dp[n][i] <= T) {
cout << i << '\n';
print_trace(n, i);
break;
}
}
return;
}