Language: C++

#include <iostream>
#include <vector>
#include <cstring>
#include <string>
#include <algorithm>
#include <iomanip>
using namespace std;

using Weight = int;
using Capacity = int;
struct Edge {
	int src, dst; Weight weight; Capacity cap;
	Edge(int s, int d, Weight w, Capacity c) : src(s), dst(d), weight(w), cap(c) {}
};
using Edges = vector<Edge>;
using Graph = vector<Edges>;

struct Dinic {
	int n, s, t;
	vector<int> level, prog, que;
	vector<vector<Capacity>> cap, flow;
	vector<vector<int>> g;
	Capacity inf;
	Dinic(const Graph &graph)
		: n(graph.size()),
		cap(n, vector<Capacity>(n)), flow(n, vector<Capacity>(n)),
		g(n, vector<int>()), inf(numeric_limits<Capacity>::max() / 8) {
		for(int i = 0; i < n; i++) {
			for(auto &e : graph[i]) {
				int u = e.src, v = e.dst;
				Capacity c = e.cap;
				cap[u][v] += c; cap[v][u] += c; flow[v][u] += c;
				g[u].push_back(v); g[v].push_back(u);
			}
		}
	}
	inline Capacity residue(int u, int v) { return cap[u][v] - flow[u][v]; }
	Capacity solve(int s_, int t_) {
		this->t = t_, this->s = s_;
		que.resize(n + 1);
		Capacity res = 0;
		while(levelize()) { prog.assign(n, 0); res += augment(s, inf); }
		return res;
	}
	bool levelize() {
		int l = 0, r = 0;
		level.assign(n, -1); level[s] = 0; que[r++] = s;
		while(l != r) {
			int v = que[l++]; if(v == t) break;
			for(const int &d : g[v]) if(level[d] == -1 && residue(v, d) != 0) {
				level[d] = level[v] + 1; que[r++] = d;
			}
		}
		return level[t] != -1;
	}
	Capacity augment(int v, Capacity lim) {
		Capacity res = 0;
		if(v == t) return lim;
		for(int &i = prog[v]; i < (int)g[v].size(); i++) {
			const int &d = g[v][i];
			if(residue(v, d) == 0 || level[v] >= level[d]) continue;
			const Capacity aug = augment(d, min(lim, residue(v, d)));
			flow[v][d] += aug; flow[d][v] -= aug;
			res += aug; lim -= aug;
			if(lim == 0) break;
		}
		return res;
	}
};


int main() {
	cin.tie(0);
	ios::sync_with_stdio(false);

	int V, E;
	cin >> V >> E;

	Graph G(V);
	for(int i = 0; i < E; i++) {
		int u, v, c;
		cin >> u >> v >> c;
		G[u].push_back(Edge(u, v, 0, c));
	}
	Dinic dinic(G);
	cout << dinic.solve(0, V - 1) << endl;
}

Compiler output:
a.cc: In constructor 'Dinic::Dinic(const Graph&)':
a.cc:27:42: error: 'numeric_limits' was not declared in this scope
   27 |                 g(n, vector<int>()), inf(numeric_limits<Capacity>::max() / 8) {
      |                                          ^~~~~~~~~~~~~~
a.cc:27:65: error: expected primary-expression before '>' token
   27 |                 g(n, vector<int>()), inf(numeric_limits<Capacity>::max() / 8) {
      |                                                                 ^
a.cc:27:71: error: no matching function for call to 'max()'
   27 |                 g(n, vector<int>()), inf(numeric_limits<Capacity>::max() / 8) {
      |                                                                  ~~~~~^~
In file included from /usr/include/c++/14/string:51,
                 from /usr/include/c++/14/bits/locale_classes.h:40,
                 from /usr/include/c++/14/bits/ios_base.h:41,
                 from /usr/include/c++/14/ios:44,
                 from /usr/include/c++/14/ostream:40,
                 from /usr/include/c++/14/iostream:41,
                 from a.cc:1:
/usr/include/c++/14/bits/stl_algobase.h:257:5: note: candidate: 'template<class _Tp> constexpr const _Tp& std::max(const _Tp&, const _Tp&)'
  257 |     max(const _Tp& __a, const _Tp& __b)
      |     ^~~
/usr/include/c++/14/bits/stl_algobase.h:257:5: note:   candidate expects 2 arguments, 0 provided
/usr/include/c++/14/bits/stl_algobase.h:303:5: note: candidate: 'template<class _Tp, class _Compare> constexpr const _Tp& std::max(const _Tp&, const _Tp&, _Compare)'
  303 |     max(const _Tp& __a, const _Tp& __b, _Compare __comp)
      |     ^~~
/usr/include/c++/14/bits/stl_algobase.h:303:5: note:   candidate expects 3 arguments, 0 provided
In file included from /usr/include/c++/14/algorithm:61,
                 from a.cc:5:
/usr/include/c++/14/bits/stl_algo.h:5706:5: note: candidate: 'template<class _Tp> constexpr _Tp std::max(initializer_list<_Tp>)'
 5706 |     max(initializer_list<_Tp> __l)
      |     ^~~
/usr/include/c++/14/bits/stl_algo.h:5706:5: note:   candidate expects 1 argument, 0 provided
/usr/include/c++/14/bits/stl_algo.h:5716:5: note: candidate: 'template<class _Tp, class _Compare> constexpr _Tp std::max(initializer_list<_Tp>, _Compare)'
 5716 |     max(initializer_list<_Tp> __l, _Compare __comp)
      |     ^~~
/usr/include/c++/14/bits/stl_algo.h:5716:5: note:   candidate expects 2 arguments, 0 provided