test/aoj/2207.test.cpp

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• Last update: 2024-09-20 12:04:43+09:00
• Problem: https://onlinejudge.u-aizu.ac.jp/problems/2207

Depends on

• Union-Find (ポテンシャル) (src/DataStructure/UnionFind_Potentialized.hpp)

Code

// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/problems/2207
// competitive-verifier: TLE 0.5
// competitive-verifier: MLE 64

// ポテンシャルUF
#include <iostream>
#include <map>
#include <string>
#include "src/DataStructure/UnionFind_Potentialized.hpp"
using namespace std;
signed main() {
 cin.tie(0);
 ios::sync_with_stdio(0);
 int N;
 while (cin >> N && N != 0) {
  UnionFind_Potentialized<long long> uf(2 * N);
  int cnt= 0;
  map<string, int> mp;
  bool isok= true;
  for (int i= 0; i < N; i++) {
   string one, A, eq, pow, B;
   cin >> one >> A >> eq >> pow >> B;
   if (!isok) continue;
   int a, b;
   if (auto it= mp.find(A); it != mp.end()) a= it->second;
   else a= mp[A]= cnt++;
   if (auto it= mp.find(B); it != mp.end()) b= it->second;
   else b= mp[B]= cnt++;
   pow= pow.substr(3);
   int x= stoi(pow);
   isok&= uf.unite(a, b, x);
  }
  cout << (isok ? "Yes" : "No") << '\n';
 }
 return 0;
}

#line 1 "test/aoj/2207.test.cpp"
// competitive-verifier: PROBLEM https://onlinejudge.u-aizu.ac.jp/problems/2207
// competitive-verifier: TLE 0.5
// competitive-verifier: MLE 64

// ポテンシャルUF
#include <iostream>
#include <map>
#include <string>
#line 2 "src/DataStructure/UnionFind_Potentialized.hpp"
#include <vector>
#include <algorithm>
#include <cassert>
template <class weight_t> class UnionFind_Potentialized {
 std::vector<int> par;
 std::vector<weight_t> val;
public:
 UnionFind_Potentialized(int n): par(n, -1), val(n) {}
 int leader(int u) {
  if (par[u] < 0) return u;
  int r= leader(par[u]);
  if constexpr (std::is_same_v<weight_t, bool>) val[u]= val[u] ^ val[par[u]];
  else val[u]= val[par[u]] + val[u];
  return par[u]= r;
 }
 //  -p(v) + p(u) = w
 bool unite(int u, int v, weight_t w) {
  int a= leader(u), b= leader(v);
  if constexpr (std::is_same_v<weight_t, bool>) w^= val[u] ^ val[v];
  else w= val[v] + w - val[u];
  if (a == b) return w == weight_t();
  if (par[b] > par[a]) std::swap(a, b), w= -w;
  return par[b]+= par[a], par[a]= b, val[a]= w, true;
 }
 bool connected(int u, int v) { return leader(u) == leader(v); }
 int size(int u) { return -par[leader(u)]; }
 weight_t potential(int u) { return leader(u), val[u]; }
 //  -p(v) + p(u)
 weight_t diff(int u, int v) {
  if constexpr (std::is_same_v<weight_t, bool>) return potential(u) ^ potential(v);
  else return -potential(v) + potential(u);
 }
};
#line 10 "test/aoj/2207.test.cpp"
using namespace std;
signed main() {
 cin.tie(0);
 ios::sync_with_stdio(0);
 int N;
 while (cin >> N && N != 0) {
  UnionFind_Potentialized<long long> uf(2 * N);
  int cnt= 0;
  map<string, int> mp;
  bool isok= true;
  for (int i= 0; i < N; i++) {
   string one, A, eq, pow, B;
   cin >> one >> A >> eq >> pow >> B;
   if (!isok) continue;
   int a, b;
   if (auto it= mp.find(A); it != mp.end()) a= it->second;
   else a= mp[A]= cnt++;
   if (auto it= mp.find(B); it != mp.end()) b= it->second;
   else b= mp[B]= cnt++;
   pow= pow.substr(3);
   int x= stoi(pow);
   isok&= uf.unite(a, b, x);
  }
  cout << (isok ? "Yes" : "No") << '\n';
 }
 return 0;
}

Test cases

Env	Name	Status	Elapsed	Memory
g++-13	judge_data	AC	6 ms	4 MB
clang++-18	judge_data	AC	7 ms	4 MB

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