結果

問題 No.5020 Averaging
ユーザー 👑 Nachia
提出日時 2024-02-25 15:37:41
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 882 ms / 1,000 ms
コード長 5,887 bytes
コンパイル時間 1,549 ms
コンパイル使用メモリ 123,836 KB
実行使用メモリ 6,676 KB
スコア 13,942,552
最終ジャッジ日時 2024-02-25 15:38:29
合計ジャッジ時間 47,284 ms
ジャッジサーバーID
(参考情報)
judge10 / judge14
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ファイルパターン 結果
other AC * 50
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ソースコード

diff #
プレゼンテーションモードにする

#ifdef NACHIA
// #define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <utility>
#include <queue>
#include <array>
#include <cmath>
using i64 = long long;
using u64 = unsigned long long;
#define rep(i,n) for(i64 i=0; i<(i64)(n); i++)
#define repr(i,n) for(i64 i=(i64)(n)-1; i>=0; i--)
const i64 INF = 1001001001001001001;
const char* yn(bool x){ return x ? "Yes" : "No"; }
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; }
template<typename A> using nega_queue = std::priority_queue<A,std::vector<A>,std::greater<A>>;
using namespace std;
const i64 TARGET_INT = 500'000'000'000'000'000;
#include <unordered_map>
#include <cassert>
#include <cstdint>
namespace nachia{
class Xoshiro256pp{
public:
using i32 = int32_t;
using u32 = uint32_t;
using i64 = int64_t;
using u64 = uint64_t;
private:
uint64_t s[4];
// https://prng.di.unimi.it/xoshiro256plusplus.c
static inline uint64_t rotl(const uint64_t x, int k) noexcept {
return (x << k) | (x >> (64 - k));
}
inline uint64_t gen(void) noexcept {
const uint64_t result = rotl(s[0] + s[3], 23) + s[0];
const uint64_t t = s[1] << 17;
s[2] ^= s[0];
s[3] ^= s[1];
s[1] ^= s[2];
s[0] ^= s[3];
s[2] ^= t;
s[3] = rotl(s[3], 45);
return result;
}
// https://xoshiro.di.unimi.it/splitmix64.c
u64 splitmix64(u64& x) {
u64 z = (x += 0x9e3779b97f4a7c15);
z = (z ^ (z >> 30)) * 0xbf58476d1ce4e5b9;
z = (z ^ (z >> 27)) * 0x94d049bb133111eb;
return z ^ (z >> 31);
}
public:
void seed(u64 x = 7001){
assert(x != 0);
s[0] = x;
for(int i=1; i<4; i++) s[i] = splitmix64(x);
}
Xoshiro256pp(){ seed(); }
u64 rng64() { return gen(); }
u64 operator()(){ return gen(); }
// generate x : l <= x <= r
u64 random_unsigned(u64 l,u64 r){
assert(l<=r);
r-=l;
auto res = rng64();
if(res<=r) return res+l;
u64 d = r+1;
u64 max_valid = 0xffffffffffffffff/d*d;
while(true){
auto res = rng64();
if(res<=max_valid) break;
}
return res%d+l;
}
// generate x : l <= x <= r
i64 random_signed(i64 l,i64 r){
assert(l<=r);
u64 unsigned_l = (u64)l ^ (1ull<<63);
u64 unsigned_r = (u64)r ^ (1ull<<63);
u64 unsigned_res = random_unsigned(unsigned_l,unsigned_r) ^ (1ull<<63);
return (i64)unsigned_res;
}
// permute x : n_left <= x <= n_right
// output r from the front
template<class Int>
std::vector<Int> random_nPr(Int n_left, Int n_right, Int r){
Int n = n_right-n_left;
assert(n>=0);
assert(r<=(1ll<<27));
if(r==0) return {};
assert(n>=r-1);
std::vector<Int> V;
std::unordered_map<Int,Int> G;
for(int i=0; i<r; i++){
Int p = random_signed(i,n);
Int x = p - G[p];
V.push_back(x);
G[p] = p - (i - G[i]);
}
for(Int& v : V) v+=n_left;
return V;
}
// V[i] := V[perm[i]]
// using swap
template<class E,class PermInt_t>
void permute_inplace(std::vector<E>& V,std::vector<PermInt_t> perm){
assert(V.size() == perm.size());
int N=V.size();
for(int i=0; i<N; i++){
int p=i;
while(perm[p]!=i){
assert(0 <= perm[p] && perm[p] < N);
assert(perm[p] != perm[perm[p]]);
std::swap(V[p],V[perm[p]]);
int pbuf = perm[p]; perm[p] = p; p = pbuf;
}
perm[p] = p;
}
}
template<class E>
std::vector<E> shuffle(const std::vector<E>& V){
int N=V.size();
auto P = random_nPr(0,N-1,N);
std::vector<E> res;
res.reserve(N);
for(int i=0; i<N; i++) res.push_back(V[P[i]]);
return res;
}
// shuffle using swap
template<class E>
void shuffle_inplace(std::vector<E>& V){
int N=V.size();
permute_inplace(V,random_nPr(0,N-1,N));
}
};
} // namespace nachia
#include <random>
#include <chrono>
nachia::Xoshiro256pp rng;
namespace RngInitInstance { struct RngInit { RngInit(){
unsigned long long seed1 = std::random_device()();
unsigned long long seed2 = std::chrono::high_resolution_clock::now().time_since_epoch().count();
rng.seed(seed1 ^ seed2);
} } a; }
int main(){
ios::sync_with_stdio(false); cin.tie(nullptr);
int N; cin >> N;
vector<i64> A(N), B(N);
rep(i,N) cin >> A[i] >> B[i];
vector<int> perm(131072);
i64 minWeight = INF;
vector<int> minWeightPerm(N);
rep(i,N) minWeightPerm[i] = i;
vector<int> Q = minWeightPerm;
auto evalQ = [&]() -> i64 {
i64 a = A[Q[0]];
i64 b = B[Q[0]];
for(int i=1; i<N; i++){
a = (a + A[Q[i]]) / 2;
b = (b + B[Q[i]]) / 2;
}
i64 ad = abs(a - TARGET_INT);
i64 bd = abs(a - TARGET_INT);
i64 w = max(ad, bd) + ad + bd;
if(w < minWeight){
copy(Q.begin(), Q.end(), minWeightPerm.begin());
minWeight = w;
}
return w;
};
evalQ();
rep(t,30000){
for(int i=1; i<N; i++){
int j = ((rng.rng64() >> 32) * i) >> 32;
swap(Q[j], Q[i]);
}
i64 w = evalQ();
rep(ss,10) for(int i=1; i<N; i++){
swap(Q[i], Q[i-1]);
i64 nw = evalQ();
if(w < nw) swap(Q[i], Q[i-1]); else w = nw;
}
}
Q = minWeightPerm;
cout << (N-1) << '\n';
repr(i,N-1){
cout << (Q[i]+1) << ' ' << (Q[i+1]+1) << '\n';
}
return 0;
}
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