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Solution.ts
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class UnionFind {
p: number[];
size: number[];
constructor(n: number) {
this.p = Array(n)
.fill(0)
.map((_, i) => i);
this.size = Array(n).fill(1);
}
find(x: number): number {
if (this.p[x] !== x) {
this.p[x] = this.find(this.p[x]);
}
return this.p[x];
}
union(a: number, b: number): boolean {
const [pa, pb] = [this.find(a), this.find(b)];
if (pa === pb) {
return false;
}
if (this.size[pa] > this.size[pb]) {
this.p[pb] = pa;
this.size[pa] += this.size[pb];
} else {
this.p[pa] = pb;
this.size[pb] += this.size[pa];
}
return true;
}
getSize(x: number): number {
return this.size[this.find(x)];
}
}
function minimumCost(n: number, edges: number[][], query: number[][]): number[] {
const uf = new UnionFind(n);
const g: number[] = Array(n).fill(-1);
for (const [u, v, _] of edges) {
uf.union(u, v);
}
for (const [u, _, w] of edges) {
const root = uf.find(u);
g[root] &= w;
}
const f = (u: number, v: number): number => {
if (u === v) {
return 0;
}
const [a, b] = [uf.find(u), uf.find(v)];
return a === b ? g[a] : -1;
};
return query.map(([u, v]) => f(u, v));
}