結果
| 問題 |
No.861 ケーキカット
|
| コンテスト | |
| ユーザー |
|
| 提出日時 | 2019-08-11 09:42:46 |
| 言語 | C++17 (gcc 13.3.0 + boost 1.87.0) |
| 結果 |
TLE
|
| 実行時間 | - |
| コード長 | 6,809 bytes |
| コンパイル時間 | 2,370 ms |
| コンパイル使用メモリ | 209,800 KB |
| 最終ジャッジ日時 | 2025-01-07 11:41:55 |
|
ジャッジサーバーID (参考情報) |
judge5 / judge3 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 1 TLE * 2 |
| other | TLE * 21 |
ソースコード
#include <bits/stdc++.h>
#pragma GCC diagnostic ignored "-Wsign-compare"
#pragma GCC diagnostic ignored "-Wsign-conversion"
#define NDEBUG
#define SHOW(...) static_cast<void>(0)
//!===========================================================!//
//! dP dP dP !//
//! 88 88 88 !//
//! 88aaaaa88a .d8888b. .d8888b. .d888b88 .d8888b. 88d888b. !//
//! 88 88 88ooood8 88' '88 88' '88 88ooood8 88' '88 !//
//! 88 88 88. ... 88. .88 88. .88 88. ... 88 !//
//! dP dP '88888P' '88888P8 '88888P8 '88888P' dP !//
//!===========================================================!//
template <typename T>
T read()
{
T v;
return std::cin >> v, v;
}
template <typename T>
std::vector<T> readVec(const std::size_t l)
{
std::vector<T> v(l);
for (auto& e : v) { std::cin >> e; }
return v;
}
using ld = long double;
using uint = unsigned int;
using ll = long long;
using ull = unsigned long long;
constexpr unsigned int MOD = 1000000007;
template <typename T>
constexpr T INF = std::numeric_limits<T>::max() / 4;
template <typename F>
constexpr F PI = static_cast<F>(3.1415926535897932385);
std::mt19937 mt{std::random_device{}()};
template <typename T>
bool chmin(T& a, const T& b) { return (a > b ? a = b, true : false); }
template <typename T>
bool chmax(T& a, const T& b) { return (a < b ? a = b, true : false); }
template <typename T>
std::vector<T> Vec(const std::size_t n, T v) { return std::vector<T>(n, v); }
template <class... Args>
auto Vec(const std::size_t n, Args... args) { return std::vector<decltype(Vec(args...))>(n, Vec(args...)); }
template <typename T>
constexpr T popCount(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : (T)__builtin_popcountll(u);
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = (v & 0x5555555555555555ULL) + (v >> 1 & 0x5555555555555555ULL), v = (v & 0x3333333333333333ULL) + (v >> 2 & 0x3333333333333333ULL), v = (v + (v >> 4)) & 0x0F0F0F0F0F0F0F0FULL, static_cast<T>(v * 0x0101010101010101ULL >> 56 & 0x7f);
#endif
}
template <typename T>
constexpr T log2p1(const T u)
{
#ifdef __has_builtin
return u == 0 ? T(0) : T(64 - __builtin_clzll(u));
#else
unsigned long long v = static_cast<unsigned long long>(u);
return v = static_cast<unsigned long long>(v), v |= (v >> 1), v |= (v >> 2), v |= (v >> 4), v |= (v >> 8), v |= (v >> 16), v |= (v >> 32), popCount(v);
#endif
}
template <typename T>
constexpr T clog(const T v) { return v == 0 ? T(0) : log2p1(v - 1); }
template <typename T>
constexpr T msbp1(const T v) { return log2p1(v); }
template <typename T>
constexpr T lsbp1(const T v)
{
#ifdef __has_builtin
return __builtin_ffsll(v);
#else
return v == 0 ? T(0) : popCount((v & (-v)) - T(1)) + T(1);
#endif
}
template <typename T>
constexpr bool ispow2(const T v) { return popCount(v) == 1; }
template <typename T>
constexpr T ceil2(const T v) { return v == 0 ? T(1) : T(1) << log2p1(v - 1); }
template <typename T>
constexpr T floor2(const T v) { return v == 0 ? T(0) : T(1) << (log2p1(v) - 1); }
//!==============================================================================!//
//! dP dP oo 88888888b oo dP !//
//! 88 88 88 88 !//
//! 88 88 88d888b. dP .d8888b. 88d888b. a88aaaa dP 88d888b. .d888b88 !//
//! 88 88 88' '88 88 88' '88 88' '88 88 88 88' '88 88' '88 !//
//! Y8. .8P 88 88 88 88. .88 88 88 88 88 88 88 88. .88 !//
//! 'Y88888P' dP dP dP '88888P' dP dP dP dP dP dP '88888P8 !//
//!==============================================================================!//
class UnionFind
{
public:
UnionFind(const std::size_t v) : V(v), parent(v), size(v, 1) { std::iota(parent.begin(), parent.end(), 0); }
std::size_t find(const std::size_t a) { return assert(a < V), parent[a] == a ? a : parent[a] = find(parent[a]); }
bool same(const std::size_t a, const std::size_t b)
{
assert(a < V), assert(b < V);
return find(a) == find(b);
}
void unite(std::size_t a, std::size_t b)
{
assert(a < V), assert(b < V);
a = find(a), b = find(b);
if (a == b) { return; }
if (size[a] < size[b]) { std::swap(a, b); }
size[a] += size[b], parent[b] = a;
}
std::size_t getSize(const std::size_t a) { return assert(a < V), size[find(a)]; }
friend std::ostream& operator<<(std::ostream& os, const UnionFind& uf)
{
os << "[";
for (std::size_t i = 0; i < uf.parent.size(); i++) { os << uf.parent[i] << (i + 1 == uf.parent.size() ? "" : ","); }
return (os << "]\n");
}
private:
const std::size_t V;
std::vector<std::size_t> parent, size;
};
//!=====================================!//
//! 8888ba.88ba oo !//
//! 88 '8b '8b !//
//! 88 88 88 .d8888b. dP 88d888b. !//
//! 88 88 88 88' '88 88 88' '88 !//
//! 88 88 88 88. .88 88 88 88 !//
//! dP dP dP '88888P8 dP dP dP !//
//!=====================================!//
int main()
{
constexpr int N = 5;
auto C = Vec(N, N, 0LL);
ll S = 0;
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) { std::cin >> C[i][j], S += C[i][j]; }
}
std::vector<bool> memo(1 << (N * N), false);
ll ans = S;
auto score = [&](auto&& self, const int mask) -> void {
if (mask + 1 == (1 << (N * N))) { return; }
auto use = Vec(N, N, false);
int pc = N * N;
ll us = 0;
std::vector<int> up;
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
use[i][j] = (mask & (1 << (N * i + j))) == 0, pc -= use[i][j];
if (use[i][j]) { up.push_back(N * i + j), us += C[i][j]; }
}
}
const ll score = std::abs(S - 2 * us);
if (S - 2 * us >= 0 and score >= ans) { return; }
UnionFind uf(N * N);
for (int i = 0; i < N; i++) {
for (int j = 0; j < N; j++) {
if (j < 4 and use[i][j] and use[i][j + 1]) { uf.unite(N * i + j, N * i + j + 1); }
if (i < 4 and use[i][j] and use[i + 1][j]) { uf.unite(N * i + j, N * (i + 1) + j); }
}
}
const int y = up.front() / N, x = up.front() % N;
if (uf.getSize(N * y + x) + pc < N * N) { return; }
chmin(ans, score);
for (const int p : up) {
if (not memo[mask | (1 << p)]) { self(self, mask | (1 << p)); }
}
memo[mask] = true;
};
score(score, 1);
std::cout << ans << std::endl;
return 0;
}