#include <stdio.h>
#include <queue>
#include <vector>
#include <algorithm>
namespace Flow {
const int MAXN = 350;
constexpr int INF = 1e9;
struct Edge {
int u, cap, cost, rev_idx;
Edge( int a, int b, int c, int d ): u(a), cap(b), cost(c), rev_idx(d) {}
};
int n;
std::vector<Edge> adj[MAXN];
int old_dist[MAXN];
int dist[MAXN];
Edge *prev[MAXN];
Edge *prev_rev[MAXN];
void init( int __n ) { n = __n; }
void push_edge( int from, int to, int cap, int cost ) {
adj[from].emplace_back( to, cap, +cost, (int)adj[to].size() );
adj[to].emplace_back( from, 0, -cost, (int)adj[to].size() - 1 );
}
void init_pot( int src ) {
for( int i = 0; i < n; i++ )
dist[i] = +INF;
std::queue<int> q({ src });
dist[src] = 0;
while( !q.empty() ){
int u = q.front();
q.pop();
for( auto [v, cap, cost, __] : adj[u] )
if( cap && dist[u] + cost < dist[v] ){
dist[v] = dist[u] + cost;
q.push( v );
}
}
for( int i = 0; i < n; i++ )
old_dist[i] = dist[i];
}
bool dijkstra( int src, int dest ) {
for( int i = 0; i < n; i++ )
dist[i] = +INF;
std::priority_queue<std::pair<int, int>> pq;
pq.emplace( -(dist[src] = 0), src );
while( !pq.empty() ){
auto [mdist, u] = pq.top();
pq.pop();
if( mdist != -dist[u] )
continue;
for( Edge &e : adj[u] ){
if( !e.cap )
continue;
int aux = dist[u] + e.cost - (old_dist[e.u] - old_dist[u]);
if( aux >= dist[e.u] )
continue;
pq.emplace( -(dist[e.u] = aux), e.u );
prev[e.u] = &e;
prev_rev[e.u] = &adj[e.u][e.rev_idx];
}
}
for( int i = 0; i < n; i++ )
old_dist[i] += dist[i];
return dist[dest] < +INF;
}
std::pair<int, int> push_flow( int src, int dest ) {
init_pot( src );
int flow = 0, ret = 0;
while( dijkstra( src, dest ) ){
int augment_flow = +INF, augment_cost = 0;
for( int u = dest; u != src; u = prev_rev[u]->u ){
augment_flow = std::min( augment_flow, prev[u]->cap );
augment_cost += prev[u]->cost;
}
flow += augment_flow;
ret += augment_flow * augment_cost;
for( int u = dest; u != src; u = prev_rev[u]->u ){
prev[u]->cap -= augment_flow;
prev_rev[u]->cap += augment_flow;
}
}
return { flow, ret };
}
}
int main() {
FILE *fin = fopen( "fmcm.in", "r" );
FILE *fout = fopen( "fmcm.out", "w" );
int n, m, src, dest;
fscanf( fin, "%d%d %d%d", &n, &m, &src, &dest );
src--; dest--;
Flow::init( n );
for( int i = 0; i < m; i++ ){
int from, to, cap, cost;
fscanf( fin, "%d%d %d%d", &from, &to, &cap, &cost );
Flow::push_edge( --from, --to, cap, cost );
}
auto [max_flow, min_cost] = Flow::push_flow( src, dest );
fprintf( fout, "%d\n", min_cost );
fclose( fin );
fclose( fout );
return 0;
}