mirror of
https://git.sb/baoshuo/OI-codes.git
synced 2024-12-25 17:52:02 +00:00
261 lines
5.2 KiB
C++
261 lines
5.2 KiB
C++
#include <iostream>
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#include <limits>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5;
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int n, m, a[N];
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std::vector<int> g[N];
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int cnt, id[N], rid[N], fa[N], dep[N], top[N], son[N], siz[N];
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struct node {
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int l, r;
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long long sum, max, d;
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size_t size;
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node()
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: l(0),
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r(0),
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sum(0),
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max(std::numeric_limits<long long>::min()),
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d(0),
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size(0) {}
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node(int _l, int _r)
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: l(_l),
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r(_r),
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sum(0),
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max(std::numeric_limits<long long>::min()),
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d(0),
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size(0) {}
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} tr1[N << 2], tr2[N << 2]; // tr1: 正数 tr2: 负数
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void dfs1(int u, int f) {
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fa[u] = f;
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dep[u] = dep[f] + 1;
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siz[u] = 1;
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for (int v : g[u]) {
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if (v == f) continue;
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dfs1(v, u);
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siz[u] += siz[v];
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if (siz[son[u]] < siz[v]) son[u] = v;
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}
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}
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void dfs2(int u, int t) {
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id[u] = ++cnt;
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rid[id[u]] = u;
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top[u] = t;
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if (!son[u]) return;
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dfs2(son[u], t);
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for (int v : g[u]) {
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if (v == fa[u] || v == son[u]) continue;
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dfs2(v, v);
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}
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}
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inline void pushup(node* tr, int u) {
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tr[u].sum = tr[u << 1].sum + tr[u << 1 | 1].sum;
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tr[u].max = std::max(tr[u << 1].max, tr[u << 1 | 1].max);
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tr[u].size = tr[u << 1].size + tr[u << 1 | 1].size;
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}
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inline void pushdown(node* tr, int u) {
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if (tr[u].d) {
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tr[u << 1].sum += tr[u].d * tr[u << 1].size;
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if (tr[u << 1].size) tr[u << 1].max += tr[u].d;
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tr[u << 1].d += tr[u].d;
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tr[u << 1 | 1].sum += tr[u].d * tr[u << 1 | 1].size;
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if (tr[u << 1 | 1].size) tr[u << 1 | 1].max += tr[u].d;
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tr[u << 1 | 1].d += tr[u].d;
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tr[u].d = 0;
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}
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}
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void build(int u, int l, int r) {
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tr1[u] = node(l, r);
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tr2[u] = node(l, r);
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if (l == r) {
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if (a[rid[l]] >= 0) {
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tr1[u].sum = a[rid[l]];
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tr1[u].max = a[rid[l]];
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tr1[u].size = 1;
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} else {
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tr2[u].sum = a[rid[l]];
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tr2[u].max = a[rid[l]];
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tr2[u].size = 1;
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}
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return;
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}
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int mid = l + r >> 1;
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build(u << 1, l, mid);
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build(u << 1 | 1, mid + 1, r);
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pushup(tr1, u);
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pushup(tr2, u);
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}
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long long query_sum(int u, int l, int r) {
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if (l <= tr1[u].l && tr1[u].r <= r) {
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return tr1[u].sum - tr2[u].sum;
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}
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int mid = tr1[u].l + tr1[u].r >> 1;
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long long res = 0;
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pushdown(tr1, u);
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pushdown(tr2, u);
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if (l <= mid) res += query_sum(u << 1, l, r);
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if (r > mid) res += query_sum(u << 1 | 1, l, r);
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return res;
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}
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long long query_max(node* tr, int u, int l, int r) {
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if (l <= tr[u].l && tr[u].r <= r) {
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return tr[u].max;
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}
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int mid = tr[u].l + tr[u].r >> 1;
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long long res = std::numeric_limits<long long>::min();
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pushdown(tr1, u);
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pushdown(tr2, u);
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if (l <= mid) res = std::max(res, query_max(tr, u << 1, l, r));
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if (r > mid) res = std::max(res, query_max(tr, u << 1 | 1, l, r));
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return res;
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}
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void swap_max(int u, int l, int r) {
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if (tr2[u].max <= 0) return;
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if (tr2[u].l == tr2[u].r) {
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tr1[u] = tr2[u];
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tr2[u] = node(l, r);
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return;
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}
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int mid = tr1[u].l + tr1[u].r >> 1;
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pushdown(tr1, u);
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pushdown(tr2, u);
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if (l <= mid) swap_max(u << 1, l, r);
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if (r > mid) swap_max(u << 1 | 1, l, r);
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pushup(tr1, u);
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pushup(tr2, u);
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}
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void modify(int u, int l, int r, int d) {
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if (l <= tr1[u].l && tr1[u].r <= r) {
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tr1[u].sum += d * tr1[u].size;
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tr1[u].d += d;
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if (tr1[u].size) tr1[u].max += d;
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tr2[u].sum += d * tr2[u].size;
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tr2[u].d += d;
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if (tr2[u].size) tr2[u].max += d;
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return;
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}
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int mid = tr1[u].l + tr1[u].r >> 1;
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pushdown(tr1, u);
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pushdown(tr2, u);
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if (l <= mid) modify(u << 1, l, r, d);
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if (r > mid) modify(u << 1 | 1, l, r, d);
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pushup(tr1, u);
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pushup(tr2, u);
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}
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void modify_path(int u, int v, int d) {
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while (top[u] != top[v]) {
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if (dep[top[u]] < dep[top[v]]) std::swap(u, v);
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modify(1, id[top[u]], id[u], d);
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swap_max(1, id[top[u]], id[u]);
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u = fa[top[u]];
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}
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if (dep[u] < dep[v]) std::swap(u, v);
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modify(1, id[v], id[u], d);
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swap_max(1, id[v], id[u]);
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}
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long long query_path(int u, int v) {
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long long res = 0;
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while (top[u] != top[v]) {
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if (dep[top[u]] < dep[top[v]]) std::swap(u, v);
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res += query_sum(1, id[top[u]], id[u]);
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u = fa[top[u]];
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}
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if (dep[u] < dep[v]) std::swap(u, v);
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res += query_sum(1, id[v], id[u]);
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return res;
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1; i <= n; i++) {
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cin >> a[i];
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}
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for (int i = 1, u, v; i < n; i++) {
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cin >> u >> v;
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g[u].emplace_back(v);
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g[v].emplace_back(u);
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}
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dfs1(1, 0);
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dfs2(1, 1);
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build(1, 1, n);
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while (m--) {
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int op, u, v;
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cin >> op >> u >> v;
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if (op == 1) {
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int d;
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cin >> d;
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modify_path(u, v, d);
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} else { // op == 2
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cout << query_path(u, v) << endl;
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}
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}
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return 0;
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}
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