#include <bits/stdc++.h>

using namespace std;

#define ll long long
#define flt double
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define rep(i, n) for(int i = 0; i < n; i += 1)
#define len(a) ((int)(a).size())


const ll inf = 1e18;
mt19937 rnd(234);

const int logn = 18;
const int maxn = 2e5 + 1000;
const int maxm = 2e5 + 1000;
int n, m;
vector<vector<int>> g;
pair<int, int> busses[maxm];
int bup[maxn][logn];
int sz[maxn];
int c;
int tin[maxn], tout[maxn];
int h[maxn];
int par[maxn];
int up[maxn], up_deg[maxn];
ll dp_down[maxn], dp_up[maxn];
vector<int> busses_graph[maxn];

struct tin_comp {
    bool operator()(int u, int v) const { return tin[u] < tin[v]; }
};

ll sum = 0;
ll great_val[maxn];
ll great_val_sum[maxn];
int total_lca = -1;
set<int, tin_comp> st;

ll result[maxn];


int lca(int u, int v);

void clear() {
    st.clear();
    total_lca = -1;
    sum = 0;
}


void add_vertex(int v) {
    if (st.count(v)) return;
    if (total_lca == -1) total_lca = v;
    else total_lca = lca(total_lca, v);
    auto it = st.insert(v).first;
    sum += great_val_sum[v];
    int a = -1;
    int b = -1;
    if (it != st.begin()) {
        a = *prev(it);
        int t = lca(a, v);
        sum -= great_val_sum[t];
    }
    if (next(it) != st.end()) {
        b = *next(it);
        int t = lca(b, v);
        sum -= great_val_sum[t];
    }
    if (a != -1 and b != -1) {
        sum += great_val_sum[lca(a, b)];
    }
}



ll get_sum() {
    ll result = sum;
    if (total_lca != -1 and total_lca != 0) {
        result -= great_val_sum[par[total_lca]];
        result += dp_down[total_lca];
    }
    return result;
}

void dfs1(int v, int p) {
    par[v] = bup[v][0] = p;
    for (int i = 1; i < logn; i += 1) {
        bup[v][i] = bup[bup[v][i - 1]][i - 1];
    }
    rep(i, len(g[v])) if (g[v][i] == p) {
        g[v].erase(g[v].begin() + i);
        break;
    }
    sz[v] = 1;
    int mxsz = -1;
    int mxszi = -1;
    rep(i, len(g[v])) {
        int to = g[v][i];
        dfs1(to, v);
        sz[v] += sz[to];
        if (mxsz < sz[to]) {
            mxsz = sz[to];
            mxszi = i;
        }
    }
    if (mxszi != -1) {
        swap(g[v][0], g[v][mxszi]);
    }
}


void dfs2(int v, int mh = 0) {
    tin[v] = c++;
    h[v] = mh;
    for (auto to : g[v]) {
        dfs2(to, mh + 1);
    }
    tout[v] = c;
}


int go_up(int v, int x) {
    rep(i, logn) {
        if ((x >> i) & 1) {
            v = bup[v][i];
        }
    }
    return v;
}


int lca(int u, int v) {
    if (h[u] < h[v]) swap(u, v);
    u = go_up(u, h[u] - h[v]);
    if (u == v) return u;
    for (int i = logn - 1; i >= 0; i -= 1) {
        if (bup[u][i] != bup[v][i]) {
            u = bup[u][i];
            v = bup[v][i];
        }
    }
    assert(u != v);
    return par[u];
}


void dfs3(int v) {
    for (auto to : g[v]) {
        dfs3(to);
        if (h[up[v]] > h[up[to]]) {
            up[v] = up[to];
        }
    }
    assert(v == 0 or h[up[v]] < h[v]);
    up_deg[up[v]] += 1;
    dp_down[v] = up_deg[v] + 1;
    for (auto to : g[v]) {
        dp_down[v] += dp_down[to];
    }
}



void dfs4(int v, ll sum = 0) {
    sum += great_val[v];
    great_val_sum[v] = sum;
    for (auto to : g[v]) {
        dfs4(to, sum);
    }
}


void dfs6(int);


void dfs5(int v) {
    for (int i = len(g[v]) - 1; i >= 0; i -= 1) {
        clear();
        int to = g[v][i];
        dfs5(to);
    }
    for (int i = 1; i < len(g[v]); i += 1) {
        int to = g[v][i];
        dfs6(to);
    }
    for (auto u : busses_graph[v]) {
        add_vertex(u);
    }
    if (g[v].empty()) add_vertex(v);
    dp_up[v] = n - sz[v] + get_sum();
}


void dfs6(int v) {
    for (auto u : busses_graph[v]) {
        add_vertex(u);
    }
    if (g[v].empty()) add_vertex(v);
    for (auto to : g[v]) dfs6(to);
}


void dfs7(int v) {
    if (v != 0 and up[v] != 0) {
        dp_up[v] += dp_up[up[v]];
    }
    for (auto to : g[v]) dfs7(to);
}


void solve() {
    dfs1(0, 0);
    c = 0;
    dfs2(0);
    rep(v, n) up[v] = v;
    rep(v, n) up_deg[v] = 0;
    rep(i, m) {
        auto [u, v] = busses[i];
        int t = lca(u, v);
        if (h[up[u]] > h[t]) {
            up[u] = t;
        }
        if (h[up[v]] > h[t]) {
            up[v] = t;
        }
    }
    dfs3(0);
    dp_down[0] = 0;
    rep(v, n) {
        great_val[v] = -dp_down[v];
        for (auto to : g[v]) great_val[v] += dp_down[to];
    }
    dfs4(0);
    rep(i, n) dp_up[i] = 0;
    rep(i, n) busses_graph[i] = {};
    rep(i, m) {
        auto [u, v] = busses[i];
        busses_graph[u].push_back(v);
        busses_graph[v].push_back(u);
    }
    clear();
    dfs5(0);
    dp_up[0] = 0;
    dfs7(0);
    rep(v, n) {
        result[v] = dp_up[v];
        for (auto to : g[v]) {
            result[v] += dp_down[to];
        }
    }
}

int32_t main() {
    if (1) {
        ios::sync_with_stdio(0);
        cin.tie(0);
        cout.tie(0);
    }
    cin >> n;
    g.assign(n, vector<int>());
    rep(i, n - 1) {
        int u, v; cin >> u >> v; --u; --v;
        g[u].push_back(v);
        g[v].push_back(u);
    }
    cin >> m;
    rep(i, m) {
        int u, v; cin >> u >> v; --u; --v;
        busses[i] = make_pair(u, v);
    }
    solve();
    rep(v, n) cout << result[v] << " ";
    cout << "\n";
    return 0;
}

/*
6
1 2
5 4
6 5
3 1
1 5
3
6 1
2 3
6 4


*/