void build() {
int s = N, t = N + 1;
mf.init( N + 2 );
char skip;
int v, w, c;
for( int i = 0; i < M; ++i ) {
cin >> skip >> v >> skip >> w >> skip >> c;
mf.insert( v, w, c );
}
for( int i = M; i < M + S; ++i ) {
cin >> skip >> w >> skip >> c;
mf.insert( s, w, c );
}
for( int i = M + S; i < M + S + T; ++i ) {
cin >> skip >> v >> skip >> c;
mf.insert( v, t, c );
}
}
LL calc(int M) {
memset(ok, false, sizeof ok);
for (int j = 0; j < n; ++j)
if (g[j].second <= M)
ok[j] = true;
LL ret = 0;
mf.init();
mf.s = n + m + 1;
mf.t = n + m + 2;
for (int j = 0; j < m; ++j) {
bool flg = true;
for (int k = 0; k < (int)f[j].size(); ++k)
if (!ok[f[j][k]]) {
flg = false;
break;
}
if (flg) {
ret += pro[j];
mf.addEdge(mf.s, j, pro[j]);
for (int k = 0; k < (int)f[j].size(); ++k)
mf.addEdge(j, m + f[j][k], INF);
}
}
for (int j = m; j < n + m; ++j)
if (ok[j-m])
mf.addEdge(j, mf.t, g[j-m].first);
return ret - mf.maxFlow();
}
void build() {
int s = N, t = N + 1;
mf.init( N + 2 );
int v, w, c;
for( int i = 0; i < M; ++i ) {
while( getchar() != '(' );
scanf( "%d", &v );
getchar();
scanf( "%d", &w );
getchar();
scanf( "%d", &c );
mf.insert( v, w, c );
}
for( int i = M; i < M + S; ++i ) {
while( getchar() != '(' );
scanf( "%d", &w );
getchar();
scanf( "%d", &c );
mf.insert( s, w, c );
}
for( int i = M + S; i < M + S + T; ++i ) {
while( getchar() != '(' );
scanf( "%d", &v );
getchar();
scanf( "%d", &c );
mf.insert( v, t, c );
}
}
int main(int argc, char* argv[]) {
MaxFlow obj;
if(obj.Parser(argv[1])) return EXIT_FAILURE; //convenzione UNIX: 0 significa ok, 1 significa male
//cout<<" V "<<obj.getV()<<" E "<<obj.getE()<<" s "<<obj.gets()<<" t "<<obj.gett()<<endl;
//ogg.debugger();
obj.calculatemaxflow();
//ogg.debugger();
//cout << "Max flow s -> t : " << obj.getflow() << endl;
cout << obj.getflow() << endl;
return EXIT_SUCCESS;
}
int main() {
while(scanf("%d%d%d%d", &N, &M, &A, &B) && N) {
mf.init(N);
for(int i = 0; i < M; ++i) {
int x, y, c;
scanf("%d%d%d", &x, &y, &c);
x--;y--;
mf.insert(x, y, c);
mf.insert(y, x, c);
}
puts(mf.uniQ(A-1, B-1) ? "UNIQUE" : "AMBIGUOUS" );
}
}
void dfs(int u, MaxFlow& mf) {
visited[u] = true;
numbers.insert(u);
vector<int> next = next_numbers(u);
for(int v : next) {
if(!visited[v])
dfs(v,mf);
mf.addEdge(u,v+L,1);
}
}
int main() {
while(cin >> N >> M) {
if(T++) puts("");
int v, w;
double c, m = 0;
mf.init(N);
for(int i = 0; i < M; ++i) {
cin >> v >> w >> c;
m = max(m, c);
mf.insert(v, w, c);
// mf.insert(w, v, c);
}
double l = 0, r = m;
while(r - l > EPS) {
m = (l + r) / 2;
if(check(m)) r = m;
else l = m;
}
/*
for(int i = 0; i < M; ++i) {
cout << mf.buf[i].v << ' ';
cout << mf.buf[i].w << ' ';
cout << mf.buf[i].c << ' ';
cout << mf.buf[i].f << endl;
}
*/
//cout << m << endl;
memset(B, 0, sizeof(B));
EE.clear();
for(int i = 0; i < M; ++i) {
mf.buf[i].c -= m;
if(mf.buf[i].c < 0) EE.push_back(i);
}
dfs(1);puts("");
sort(EE.begin(), EE.end());
EE.resize(unique(EE.begin(), EE.end()) - EE.begin());
cout << EE.size() << endl;
for(int i = 0; i < EE.size(); ++i) {
if(i) cout << ' ';
cout << EE[i] + 1;
}
}
}
int main() {
while( scanf( "%d%d%d%d", &N, &S, &T, &M ) != EOF ) {
build();
printf( "%d\n", mf.maxFlow( N, N + 1 ) );
}
}
bool check(double lamda) {
double ans;
for(int i = 0; i < M; ++i) {
mf.buf[i].c -= lamda;
if(mf.buf[i].c < 0) ans += mf.buf[i].c;
}
ans += mf.maxFlow(1, N);
for(int i = 0; i < M; ++i)
mf.buf[i].c += lamda;
return ans < 0;
}
int main() {
while( cin >> N >> S >> T >> M ) {
build();
cout << mf.maxFlow( N, N + 1 )<< endl;
}
}
bool minCut( double lamda ) {
mf.init( V );
now.clear();
double tot = 0.0;
for( int i = 0; i < EE.size(); ++i ) {
if( EE[i].c > lamda )
mf.insert( EE[i].v-1, EE[i].w-1, EE[i].c - lamda );
else {
now.push_back( i + 1 );
tot += ( EE[i].c - lamda );
}
}
mf.runCut( 0, V - 1 );
eE = mf.getCutE();
for( int i = 0; i < eE.size(); ++i ) {
tot += eE[i] -> c;
now.push_back( eE[i] - &mf.edges()[0] + 1 );
}
sort( now.begin(), now.end() );
ans = now;
return tot < 0.0;
}
int main() {
while( scanf( "%d%d", &N, &M ) && N ) {
mf.init( N + M + 2 );
for( int i = 1; i <= N; ++i ) {
mf.insert( 0, i, 1 );
scanf( "%s", skip );
while( getchar() != '\n' ) {
int x;
scanf( "%d", &x );
mf.insert( i, N + 1 + x, 1 );
}
}
st = mf.edges;
for( int i = 1; i <= M; ++i )
mf.insert( N + i, N + M + 1, N );
ed = mf.edges;
int l = N / M, r = N, m;
while( l < r - 1 ) {
m = ( l + r ) / 2;
if( check( m ) ) r = m;
else l = m;
}
printf( "%d\n", r );
}
}
int main()
{
Init();
int t, n, cas = 0;
scanf("%d", &t);
while (t--){
scanf("%d", &n);
for (int i = 0; i < MAX; ++i) in[i] = -1;
for (int i = 0; i < n; ++i){
scanf("%d", &arr[i]);
in[arr[i]] = i;
}
g.Init(n+2);
int S = n, T = n+1;
for (int i = 0; i < n; ++i){
int x = arr[i];
if (cnt[x]&1) g.Addedge(S, i, 1);
else g.Addedge(i, T, 1);
// else{
// printf("Not Prime %d\n", x);
for (int j = 0; j < tot && prime[j] <= x; ++j){
if (x%prime[j]) continue;
// printf("x = %d factor = %d\n", x, prime[j]);
int y = x/prime[j];
if (in[y] != -1){
int v = in[y];
if (cnt[x]&1) g.Addedge(i, v, 1);
else g.Addedge(v, i, 1);
}
if (y > prime[tot-1] && cnt[y] == 1){
y = prime[j];
if (in[y] != -1){
int v = in[y];
if (cnt[x]&1) g.Addedge(i, v, 1);
else g.Addedge(v, i, 1);
}
}
}
// }
// if (!flag && in[1] != -1) g.Addedge(i, in[1], 1);
}
printf("Case %d: %d\n", ++cas, n-g.Maxflow(S, T));
}
return 0;
}
int main() {
for( int T = 0; scanf( "%d%d", &V, &E ) != EOF; ) {
if( T++ ) puts( "" );
EE.resize( E );
mf.init( V );
double mx = 0.0, mn = INF;
for( int i = 0; i < E; ++i ) {
scanf( "%d%d%lf",
&EE[i].v, &EE[i].w, &EE[i].c );
mx >?= EE[i].c;
mn <?= EE[i].c;
}
double l = mn, r = mx;
while( r - l > EPS ) {
double m = ( l + r ) / 2.0;
if( minCut( m ) ) r = m;
else l = m;
}
printf( "%d\n", ans.size() );
for( int i = 0; i < ans.size(); ++i ) {
if( i ) putchar( ' ' );
printf( "%d", ans[i] );
}
puts( "" );
}
}
bool check( int flow ) {
for( int i = st; i < ed; ++i )
mf.buf[i].c = flow;
return mf.maxFlow( 0, N + M + 1 ) == N;
}
void proc() {
scanf("%d %d %d", &n, &m, &c);
for (int i = 0; i < m; ++i) {
int a, b, c;
scanf("%d %d %d", &a, &b, &c);
graph[a].push_back(Edge{ c, b });
graph[b].push_back(Edge{ c, a });
}
for (int i = 1; i <= n; ++i) {
dist[i] = 100000000;
}
priority_queue<Edge> pq;
dist[1] = 0;
pq.push(Edge{ 0, 1 });
while (!pq.empty()) {
Edge cur = pq.top();
pq.pop();
if (cur.w > dist[cur.to]) {
continue;
}
for (const auto& edge : graph[cur.to]) {
if (dist[edge.to] > dist[cur.to] + edge.w) {
dist[edge.to] = dist[cur.to] + edge.w;
pq.push(Edge{ dist[edge.to], edge.to });
via[edge.to].clear();
via[edge.to].push_back(cur.to);
}
else if (dist[edge.to] == dist[cur.to] + edge.w) {
via[edge.to].push_back(cur.to);
}
}
}
for (int i = 0; i < c; ++i) {
int v;
scanf("%d", &v);
carInit.push_back({ dist[v], v });
}
sort(carInit.begin(), carInit.end());
MaxFlow mf;
mf.Init(n + c + 2);
for (int k = 1; k <= n; ++k) {
for (int v : via[k]) {
mf.AddEdge(k, v, 1);
}
}
int ans = 0;
for (int i = 0; i < carInit.size(); ) {
mf.ClearFlow();
int ss = n + 1 + i;
int j = i;
while (j < carInit.size() && carInit[i].first == carInit[j].first) {
int k = j, cnt = 0;
while (k < carInit.size() && carInit[j].second == carInit[k].second) {
++k;
++cnt;
}
mf.AddEdge(ss, carInit[j].second, cnt);
j = k;
}
ans += mf.Solve(ss, 1);
i = j;
}
printf("%d", ans);
}
