This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define ull unsigned long long
#define pb push_back
#define pll pair<ll, ll>
#define pii pair<ll, int>
#define fi first
#define se second
using namespace std;
const int N = 65;
const int M = 250;
const int mod = 1e9+7;
const ll base = 75;
const ll inf = 1e16;
int n, lab[N], t, c[N], h[N], P[N][8], m, a[N], b[N], ans, d[N], k;
ll st[N], sum[N][8], tong;
vector<int> adj[N];
vector<int> vi;
string s;
bool vis[N];
struct edge
{
int x, y, z;
}e[N];
void add(int& x, int y)
{
x += y;
if(x >= mod)x -= mod;
}
void dfs(int u, int p = 0)
{
for(int v: adj[u])
{
if(v == p)continue;
h[v] = h[u]+1;
P[v][0] = u;
sum[v][0] = (1ll<<v);
for(int j = 1; j < 8; j ++)
{
P[v][j] = P[P[v][j-1]][j-1];
sum[v][j] = (sum[v][j-1] | sum[P[v][j-1]][j-1]);
}
dfs(v, u);
}
}
ll lca(int u, int v)
{
ll res = 0;
if(h[u] < h[v])swap(u, v);
int log = log2(h[u]);
for(int i = log; i >= 0; i --)
{
if(h[u] >= h[v]+(1<<i))
{
res |= sum[u][i];
u = P[u][i];
}
}
if(u == v)return res;
for(int i = log; i >= 0; i --)
{
if(P[u][i] && P[u][i] != P[v][i])
{
res |= sum[u][i];
res |= sum[v][i];
u = P[u][i];
v = P[v][i];
}
}
res |= sum[u][0];
res |= sum[v][0];
return res;
}
int findp(int u)
{
return lab[u] < 0 ? u : lab[u] = findp(lab[u]);
}
void hop(int u, int v)
{
u = findp(u);
v = findp(v);
if(u == v)return;
if(lab[u] > lab[v])swap(u, v);
lab[u] += lab[v];
lab[v] = u;
}
void sol()
{
cin >> n >> m >> k;
for(int i = 1; i < n; i ++)
{
int x, y;
cin >> x >> y;
adj[x].pb(y);
adj[y].pb(x);
}
d[0] = 1;
for(int i = 1; i < n; i ++)d[i] = 1ll * d[i-1] * k % mod;
dfs(1);
for(int i = 0; i < m; i ++)
{
cin >> e[i].x >> e[i].y;
st[i] = lca(e[i].x, e[i].y);
//cout << st[i] <<" ";
}
//cout << '\n';
for(int mask = 0; mask < (1<<m); mask ++)
{
tong = 0;
t = 0;
fill_n(lab, m, -1);
vi.clear();
for(int i = 0; i < m; i ++)
{
if(mask >> i & 1)
{
//cout << i <<" ";
for(int j: vi)if(st[i]&st[j])hop(i, j);
vi.pb(i);
tong |= st[i];
}
}
for(int i: vi)if(lab[i] < 0)++t;
//cout <<t << '\n';
t = t+n-1-(__builtin_popcountll(tong));
if((__builtin_popcount(mask))&1)add(ans, mod-d[t]);
else add(ans, d[t]);
}
cout << ans;
}
int main()
{
cin.tie(0);
cout.tie(0);
ios_base::sync_with_stdio(0);
#define task "test"
if(fopen(task".inp", "r"))
{
freopen(task".inp", "r", stdin);
freopen(task".out", "w", stdout);
}
int test = 1;
//cin >> test;
while(test -- > 0)sol();
return 0;
}
/*
1234
21
*/
Compilation message (stderr)
Main.cpp: In function 'int main()':
Main.cpp:140:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
140 | freopen(task".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:141:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
141 | freopen(task".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
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