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E.cpp
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E.cpp
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// #pragma GCC optimize("Ofast,unroll-loops")
// #pragma GCC target("avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define ull unsigned long long
#define dd double
#define ld long double
#define sl(n) scanf("%lld", &n)
#define si(n) scanf("%d", &n)
#define sd(n) scanf("%lf", &n)
#define pll pair <ll, ll>
#define pii pair <int, int>
#define mp make_pair
#define pb push_back
#define all(v) v.begin(), v.end()
#define inf (1LL << 61)
#define loop(i, start, stop, inc) for(ll i = start; i <= stop; i += inc)
#define for1(i, stop) for(ll i = 1; i <= stop; ++i)
#define for0(i, stop) for(ll i = 0; i < stop; ++i)
#define rep1(i, start) for(ll i = start; i >= 1; --i)
#define rep0(i, start) for(ll i = (start-1); i >= 0; --i)
#define ms(n, i) memset(n, i, sizeof(n))
#define casep(n) printf("Case %lld:", ++n)
#define pn printf("\n")
#define pf printf
#define EL '\n'
#define fastio std::ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
// === DEBUG MACRO STARTS HERE === //
#ifndef ONLINE_JUDGE
#define DEBUG
#define SYS_COL system("COLOR")
#endif
int recur_depth = 0;
#ifdef DEBUG
#define dbg(x) {++recur_depth; auto x_=x; --recur_depth; SYS_COL; \
cerr<<string(recur_depth, '\t')<<"\e[91m"<<__func__<<":" \
<<__LINE__<<"\t"<<#x<<" = "<<x_<<"\e[39m"<<endl;}
template<typename Ostream, typename Cont>
typename enable_if<is_same<Ostream,ostream>::value,
Ostream&>::type operator<<(Ostream& os, const Cont& v) {
os<<"[";
for(auto& x:v){os<<x<<", ";}
return os<<"]";
}
template<typename Ostream, typename ...Ts>
Ostream& operator<<(Ostream& os, const pair<Ts...>& p){
return os<<"{"<<p.first<<", "<<p.second<<"}";
}
#else
#define dbg(x)
#endif
// === DEBUG MACRO ENDS HERE === //
#define ff first
#define ss second
const ll maxnodes = 250;
ll nodes = maxnodes, src, dest;
ll dist[maxnodes], q[maxnodes], work[maxnodes];
struct Edge
{
ll to, rev;
ll f, cap;
};
vector<Edge> g[maxnodes];
void addEdge(ll s, ll t, ll cap)
{
Edge a = {t, g[t].size(), 0, cap};
Edge b = {s, g[s].size(), 0, 0};
g[s].push_back(a);
g[t].push_back(b);
}
bool dinic_bfs()
{
fill(dist, dist + nodes, -1);
dist[src] = 0;
ll index = 0;
q[index++] = src;
for (ll i = 0; i < index; i++)
{
ll u = q[i];
for (ll j = 0; j < (ll) g[u].size(); j++)
{
Edge &e = g[u][j];
if (dist[e.to] < 0 && e.f < e.cap)
{
dist[e.to] = dist[u] + 1;
q[index++] = e.to;
}
}
}
return dist[dest] >= 0;
}
ll dinic_dfs(ll u, ll f)
{
if (u == dest)
return f;
for (ll &i = work[u]; i < (ll) g[u].size(); i++)
{
Edge &e = g[u][i];
if (e.cap <= e.f) continue;
if (dist[e.to] == dist[u] + 1)
{
ll flow = dinic_dfs(e.to, min(f, e.cap - e.f));
if (flow > 0)
{
e.f += flow;
g[e.to][e.rev].f -= flow;
return flow;
}
}
}
return 0;
}
ll maxFlow(ll _src, ll _dest)
{
src = _src;
dest = _dest;
ll result = 0;
while (dinic_bfs())
{
fill(work, work + nodes, 0);
while (ll delta = dinic_dfs(src, INT_MAX))
result += delta;
}
return result;
}
// addEdge(u, v, C); edge from u to v. Capacity=C
// maxFlow(s, t); max flow from s to t
const ll sz = 105;
ll a[sz], b[sz], ans[sz][sz];
int main()
{
ll n, m, sa = 0, sb = 0;
cin >> n >> m;
for1(i, n) sl(a[i]), sa+=a[i];
for1(i, n) sl(b[i]), sb+=b[i];
for1(i, m) {
ll u, v;
sl(u), sl(v);
addEdge(u, n+v, 1e9);
addEdge(v, n+u, 1e9);
}
for1(i, n) {
addEdge(0, i, a[i]), addEdge(n+i, 2*n+1, b[i]);
addEdge(i, n+i, 1e9);
}
ll got = maxFlow(0, 2*n+1);
if(got != sa || got != sb) {
cout << "NO\n";
return 0;
}
for1(i, n) {
for(Edge &e : g[i]) {
if(e.to == 0 || e.f == 0)
continue;
ans[i][e.to-n] = e.f;
}
}
cout << "YES\n";
for1(i, n) {
for1(j, n)
pf("%lld ", ans[i][j]);
pn;
}
return 0;
}