[AtCoder] B - RGB Matching

B - RGB Matching

  • Time : O(nlogn)
  • Space : O(n)
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#include <bits/stdc++.h>

#pragma optimization_level 3
#pragma GCC optimize("Ofast,no-stack-protector,unroll-loops,fast-math,O3")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx")
#pragma GCC optimize("Ofast")//Comment optimisations for interactive problems (use endl)
#pragma GCC target("avx,avx2,fma")
#pragma GCC optimization ("unroll-loops")

using namespace std;

struct PairHash {
inline std::size_t operator()(const std::pair<int, int> &v) const { return v.first * 31 + v.second; }
};

// speed
#define Code ios_base::sync_with_stdio(false);
#define By ios::sync_with_stdio(0);
#define Sumfi cout.tie(NULL);

// alias
using ll = long long;
using ld = long double;

// constants
const ld PI = 3.14159265358979323846; /* pi */
const ll INF = 1e18;
const ld EPS = 1e-9;
const ll MAX_N = 2020;
const ll mod = 1e9+7;

// typedef
typedef pair<ll, ll> pll;
typedef vector<pll> vpll;
typedef array<ll,3> all3;
typedef array<ll,5> all5;
typedef vector<all3> vall3;
typedef vector<all5> vall5;
typedef vector<ld> vld;
typedef vector<ll> vll;
typedef vector<vll> vvll;
typedef vector<int> vi;
typedef vector<string> vs;
typedef vector<vs> vvs;
typedef unordered_set<ll> usll;
typedef unordered_set<pll, PairHash> uspll;
typedef unordered_map<ll, ll> umll;

// macros
#define rep(i,n) for(ll i=0;i<n;i++)
#define rrep(i,m,n) for(ll i=n;i>=m;i--)
#define all(a) begin(a), end(a)
#define rall(a) rbegin(a), rend(a)
#define pyes cout<<"YES\n";
#define pno cout<<"NO\n";
#define pneg1 cout<<"-1\n";

// utility functions
template <typename T>
void print(T &&t) { cout << t << "\n"; }
template<typename T>
void printv(vector<T>v){ll n=v.size();rep(i,n)cout<<v[i]<<" ";cout<<"\n";}

ll __gcd(ll x, ll y) { return !y ? x : __gcd(y, x % y); }
ll __lcm(ll x, ll y) { return x * y / __gcd(x,y); }

using namespace std;

ll helper(vll& A, vll& B) {
if(A.empty() or B.empty()) return INF;
if(A.size() < B.size()) return helper(B, A);
usll vis;
ll res = INF;
for(auto& b : B) {
if(vis.count(b)) continue;
vis.insert(b);
auto lb = lower_bound(all(A), b);
res = min(res, abs(*lb - b));
if(lb != begin(A)) {
--lb;
res = min(res, abs(*lb - b));
}
}
return res;
}

ll helper(vll& A, vll& B, vll& C) {
return min(helper(A,B), helper(A,C) + helper(B,C));
}

ll solve(vector<pair<ll,char>>& A) {
vll B[3];
for(auto [a, c] : A) {
ll idx = c == 'R' ? 0 : c == 'G' ? 1 : 2;
B[idx].push_back(a);
}
ll sz[3] = {(ll)B[0].size(), (ll)B[1].size(), (ll)B[2].size()};
rep(i,3) {
sort(all(B[i]));
B[i].erase(unique(all(B[i])), end(B[i]));
}
if(sz[0] % 2 == 0 and sz[1] % 2 == 0 and sz[2] % 2 == 0) return 0;
if(sz[0] % 2 == 0)
return helper(B[1], B[2], B[0]);
if(sz[1] % 2 == 0)
return helper(B[0], B[2], B[1]);
if(sz[2] % 2 == 0)
return helper(B[0], B[1], B[2]);
return 0;
}

int main() {
Code By Sumfi

cout.precision(12);

ll tc = 1;
//cin>>tc;
for (ll i = 1; i <= tc; i++) {
ll n;
cin>>n;
vector<pair<ll,char>> A(2*n);
rep(i,2*n) cin>>A[i].first>>A[i].second;
print(solve(A));
}
return 0;
}
Author: Song Hayoung
Link: https://songhayoung.github.io/2022/07/03/PS/AtCoder/arc121-b/
Copyright Notice: All articles in this blog are licensed under CC BY-NC-SA 4.0 unless stating additionally.