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