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ID | 题目 | 提交者 | 结果 | 用时 | 内存 | 语言 | 文件大小 | 提交时间 | 测评时间 |
---|---|---|---|---|---|---|---|---|---|
#803594 | #9866. Extracting Weights | ucup-team5243# | RE | 1ms | 3872kb | C++17 | 12.9kb | 2024-12-07 17:44:29 | 2024-12-07 17:44:30 |
Judging History
answer
#ifdef NACHIA
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(int i=0; i<int(n); i++)
const i64 INF = 1001001001001001001;
template<typename A> void chmin(A& l, const A& r){ if(r < l) l = r; }
template<typename A> void chmax(A& l, const A& r){ if(l < r) l = r; }
using namespace std;
#include <bitset>
#include <utility>
namespace nachia{
template<class Elem>
class CsrArray{
public:
struct ListRange{
using iterator = typename std::vector<Elem>::iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
Elem& operator[](int i) const { return begi[i]; }
};
struct ConstListRange{
using iterator = typename std::vector<Elem>::const_iterator;
iterator begi, endi;
iterator begin() const { return begi; }
iterator end() const { return endi; }
int size() const { return (int)std::distance(begi, endi); }
const Elem& operator[](int i) const { return begi[i]; }
};
private:
int m_n;
std::vector<Elem> m_list;
std::vector<int> m_pos;
public:
CsrArray() : m_n(0), m_list(), m_pos() {}
static CsrArray Construct(int n, std::vector<std::pair<int, Elem>> items){
CsrArray res;
res.m_n = n;
std::vector<int> buf(n+1, 0);
for(auto& [u,v] : items){ ++buf[u]; }
for(int i=1; i<=n; i++) buf[i] += buf[i-1];
res.m_list.resize(buf[n]);
for(int i=(int)items.size()-1; i>=0; i--){
res.m_list[--buf[items[i].first]] = std::move(items[i].second);
}
res.m_pos = std::move(buf);
return res;
}
static CsrArray FromRaw(std::vector<Elem> list, std::vector<int> pos){
CsrArray res;
res.m_n = pos.size() - 1;
res.m_list = std::move(list);
res.m_pos = std::move(pos);
return res;
}
ListRange operator[](int u) { return ListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
ConstListRange operator[](int u) const { return ConstListRange{ m_list.begin() + m_pos[u], m_list.begin() + m_pos[u+1] }; }
int size() const { return m_n; }
int fullSize() const { return (int)m_list.size(); }
};
} // namespace nachia
#include <cassert>
namespace nachia{
struct Graph {
public:
struct Edge{
int from, to;
void reverse(){ std::swap(from, to); }
int xorval() const { return from ^ to; }
};
Graph(int n = 0, bool undirected = false, int m = 0) : m_n(n), m_e(m), m_isUndir(undirected) {}
Graph(int n, const std::vector<std::pair<int, int>>& edges, int undirected = false) : m_n(n), m_isUndir(undirected){
m_e.resize(edges.size());
for(std::size_t i=0; i<edges.size(); i++) m_e[i] = { edges[i].first, edges[i].second };
}
template<class Cin>
static Graph Input(Cin& cin, int n, bool undirected, int m, int offset = 0){
Graph res(n, undirected, m);
for(int i=0; i<m; i++){
int u, v; cin >> u >> v;
res[i].from = u - offset;
res[i].to = v - offset;
}
return res;
}
int numVertices() const noexcept { return m_n; }
int numEdges() const noexcept { return int(m_e.size()); }
int addNode() noexcept { return m_n++; }
int addEdge(int from, int to){ m_e.push_back({ from, to }); return numEdges() - 1; }
Edge& operator[](int ei) noexcept { return m_e[ei]; }
const Edge& operator[](int ei) const noexcept { return m_e[ei]; }
Edge& at(int ei) { return m_e.at(ei); }
const Edge& at(int ei) const { return m_e.at(ei); }
auto begin(){ return m_e.begin(); }
auto end(){ return m_e.end(); }
auto begin() const { return m_e.begin(); }
auto end() const { return m_e.end(); }
bool isUndirected() const noexcept { return m_isUndir; }
void reverseEdges() noexcept { for(auto& e : m_e) e.reverse(); }
void contract(int newV, const std::vector<int>& mapping){
assert(numVertices() == int(mapping.size()));
for(int i=0; i<numVertices(); i++) assert(0 <= mapping[i] && mapping[i] < newV);
for(auto& e : m_e){ e.from = mapping[e.from]; e.to = mapping[e.to]; }
m_n = newV;
}
std::vector<Graph> induce(int num, const std::vector<int>& mapping) const {
int n = numVertices();
assert(n == int(mapping.size()));
for(int i=0; i<n; i++) assert(-1 <= mapping[i] && mapping[i] < num);
std::vector<int> indexV(n), newV(num);
for(int i=0; i<n; i++) if(mapping[i] >= 0) indexV[i] = newV[mapping[i]]++;
std::vector<Graph> res; res.reserve(num);
for(int i=0; i<num; i++) res.emplace_back(newV[i], isUndirected());
for(auto e : m_e) if(mapping[e.from] == mapping[e.to] && mapping[e.to] >= 0) res[mapping[e.to]].addEdge(indexV[e.from], indexV[e.to]);
return res;
}
CsrArray<int> getEdgeIndexArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(int i=0; i<numEdges(); i++){
auto e = operator[](i);
src.emplace_back(e.from, i);
if(undirected) src.emplace_back(e.to, i);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getEdgeIndexArray() const { return getEdgeIndexArray(isUndirected()); }
CsrArray<int> getAdjacencyArray(bool undirected) const {
std::vector<std::pair<int, int>> src;
src.reserve(numEdges() * (undirected ? 2 : 1));
for(auto e : m_e){
src.emplace_back(e.from, e.to);
if(undirected) src.emplace_back(e.to, e.from);
}
return CsrArray<int>::Construct(numVertices(), src);
}
CsrArray<int> getAdjacencyArray() const { return getAdjacencyArray(isUndirected()); }
private:
int m_n;
std::vector<Edge> m_e;
bool m_isUndir;
};
} // namespace nachia
namespace nachia{
struct HeavyLightDecomposition{
private:
int N;
std::vector<int> P;
std::vector<int> PP;
std::vector<int> PD;
std::vector<int> D;
std::vector<int> I;
std::vector<int> rangeL;
std::vector<int> rangeR;
public:
HeavyLightDecomposition(const CsrArray<int>& E = CsrArray<int>::Construct(1, {}), int root = 0){
N = E.size();
P.assign(N, -1);
I.assign(N, 0); I[0] = root;
int iI = 1;
for(int i=0; i<iI; i++){
int p = I[i];
for(int e : E[p]) if(P[p] != e){
I[iI++] = e;
P[e] = p;
}
}
std::vector<int> Z(N, 1);
std::vector<int> nx(N, -1);
PP.resize(N);
for(int i=0; i<N; i++) PP[i] = i;
for(int i=N-1; i>=1; i--){
int p = I[i];
Z[P[p]] += Z[p];
if(nx[P[p]] == -1) nx[P[p]] = p;
if(Z[nx[P[p]]] < Z[p]) nx[P[p]] = p;
}
for(int p : I) if(nx[p] != -1) PP[nx[p]] = p;
PD.assign(N,N);
PD[root] = 0;
D.assign(N,0);
for(int p : I) if(p != root){
PP[p] = PP[PP[p]];
PD[p] = std::min(PD[PP[p]], PD[P[p]]+1);
D[p] = D[P[p]]+1;
}
rangeL.assign(N,0);
rangeR.assign(N,0);
for(int p : I){
rangeR[p] = rangeL[p] + Z[p];
int ir = rangeR[p];
for(int e : E[p]) if(P[p] != e) if(e != nx[p]){
rangeL[e] = (ir -= Z[e]);
}
if(nx[p] != -1){
rangeL[nx[p]] = rangeL[p] + 1;
}
}
for(int i=0; i<N; i++) I[rangeL[i]] = i;
}
HeavyLightDecomposition(const Graph& tree, int root = 0)
: HeavyLightDecomposition(tree.getAdjacencyArray(true), root) {}
int numVertices() const { return N; }
int depth(int p) const { return D[p]; }
int toSeq(int vtx) const { return rangeL[vtx]; }
int toVtx(int seqidx) const { return I[seqidx]; }
int toSeq2In(int vtx) const { return rangeL[vtx] * 2 - D[vtx]; }
int toSeq2Out(int vtx) const { return rangeR[vtx] * 2 - D[vtx] - 1; }
int parentOf(int v) const { return P[v]; }
int heavyRootOf(int v) const { return PP[v]; }
int heavyChildOf(int v) const {
if(toSeq(v) == N-1) return -1;
int cand = toVtx(toSeq(v) + 1);
if(PP[v] == PP[cand]) return cand;
return -1;
}
int lca(int u, int v) const {
if(PD[u] < PD[v]) std::swap(u, v);
while(PD[u] > PD[v]) u = P[PP[u]];
while(PP[u] != PP[v]){ u = P[PP[u]]; v = P[PP[v]]; }
return (D[u] > D[v]) ? v : u;
}
int dist(int u, int v) const {
return depth(u) + depth(v) - depth(lca(u,v)) * 2;
}
struct Range{
int l; int r;
int size() const { return r-l; }
bool includes(int x) const { return l <= x && x < r; }
};
std::vector<Range> path(int r, int c, bool include_root = true, bool reverse_path = false) const {
if(PD[c] < PD[r]) return {};
std::vector<Range> res(PD[c]-PD[r]+1);
for(int i=0; i<(int)res.size()-1; i++){
res[i] = { rangeL[PP[c]], rangeL[c]+1 };
c = P[PP[c]];
}
if(PP[r] != PP[c] || D[r] > D[c]) return {};
res.back() = { rangeL[r]+(include_root?0:1), rangeL[c]+1 };
if(res.back().l == res.back().r) res.pop_back();
if(!reverse_path) std::reverse(res.begin(),res.end());
else for(auto& a : res) a = { N - a.r, N - a.l };
return res;
}
Range subtree(int p) const { return { rangeL[p], rangeR[p] }; }
int median(int x, int y, int z) const {
return lca(x,y) ^ lca(y,z) ^ lca(x,z);
}
int la(int from, int to, int d) const {
if(d < 0) return -1;
int g = lca(from,to);
int dist0 = D[from] - D[g] * 2 + D[to];
if(dist0 < d) return -1;
int p = from;
if(D[from] - D[g] < d){ p = to; d = dist0 - d; }
while(D[p] - D[PP[p]] < d){
d -= D[p] - D[PP[p]] + 1;
p = P[PP[p]];
}
return I[rangeL[p] - d];
}
struct ChildrenIterRange {
struct Iter {
const HeavyLightDecomposition& hld; int s;
int operator*() const { return hld.toVtx(s); }
Iter& operator++(){
s += hld.subtree(hld.I[s]).size();
return *this;
}
Iter operator++(int) const { auto a = *this; return ++a; }
bool operator==(Iter& r) const { return s == r.s; }
bool operator!=(Iter& r) const { return s != r.s; }
};
const HeavyLightDecomposition& hld; int v;
Iter begin() const { return { hld, hld.rangeL[v] + 1 }; }
Iter end() const { return { hld, hld.rangeR[v] }; }
};
ChildrenIterRange children(int v) const {
return ChildrenIterRange{ *this, v };
}
};
} // namespace nachia
void testcase(){
int N, K; cin >> N >> K;
auto tree = nachia::Graph::Input(cin, N, true, N-1, 1);
auto hld = nachia::HeavyLightDecomposition(tree, 0);
using Bitset = bitset<20>;
vector<Bitset> path(N);
for(int i=1; i<N; i++) path[i].set(i);
for(int i=1; i<N; i++){
int v = hld.toVtx(i);
int w = hld.parentOf(v);
path[v] |= path[w];
}
vector<Bitset> base(N);
vector<pair<int,int>> query(N);
int cnt = 0;
auto check = [&](int u, int v){
int g = hld.lca(u,v);
Bitset q = path[u] | path[v];
if(g != 0) q &= ~path[hld.parentOf(g)];
//cout << q << endl;
rep(i,N) if(q.test(i)) q ^= base[i];
rep(i,N) if(q.test(i)){
q.set(N+i);
rep(j,N) if(base[j].test(i)) base[j] ^= q;
base[i] = q;
cnt++;
query[i] = {u,v};
break;
}
};
rep(i,N) rep(j,i) if(hld.dist(i,j) == K) check(i,j);
//for(auto a : base) cout << a << endl;
if(cnt == N-1){
cout << "Yes\n";
cout << "?";
cout << " " << (N-1);
for(int i=1; i<N; i++){
auto [u,v] = query[i];
cout << " " << (u+1) << " " << (v+1);
} cout << endl;
vector<i64> T(N);
for(int i=1; i<N; i++) cin >> T[i];
vector<i64> ans(N);
for(i64 i=1; i<N; i++){
for(i64 j=1; j<N; j++) if(base[i].test(N+j)){
ans[i] ^= T[j];
}
}
cout << "!";
for(int i=1; i<N; i++) cout << " " << ans[i];
cout << endl;
} else {
cout << "No\n";
}
}
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr);
testcase();
return 0;
}
详细
Test #1:
score: 100
Accepted
time: 0ms
memory: 3872kb
input:
4 1 1 2 2 3 2 4 1 3 2
output:
Yes ? 3 2 1 3 2 4 2 ! 1 2 3
result:
ok OK 3 numbers
Test #2:
score: 0
Accepted
time: 1ms
memory: 3592kb
input:
5 2 1 2 2 3 3 4 3 5 1 4 2 3
output:
Yes ? 4 3 1 5 4 4 2 5 2 ! 4 5 3 2
result:
ok OK 4 numbers
Test #3:
score: 0
Accepted
time: 0ms
memory: 3616kb
input:
6 2 1 2 2 3 3 4 4 5 4 6
output:
No
result:
ok Correct
Test #4:
score: -100
Runtime Error
input:
250 1 108 84 37 129 33 68 131 135 26 173 186 25 35 104 78 123 52 115 239 44 166 149 127 210 185 212 246 64 249 143 137 101 82 209 244 29 15 242 20 62 243 151 81 10 42 159 65 71 71 105 166 192 214 225 97 87 86 208 43 60 235 54 77 107 28 147 195 2 45 153 104 180 63 250 205 165 220 206 24 92 12 41 233 ...