結果

問題 No.1669 パズル作成
ユーザー yuto1115
提出日時 2021-09-03 23:19:09
言語 C++17
(gcc 13.3.0 + boost 1.87.0)
結果
AC  
実行時間 221 ms / 2,000 ms
コード長 7,430 bytes
コンパイル時間 2,626 ms
コンパイル使用メモリ 217,328 KB
最終ジャッジ日時 2025-01-24 07:09:54
ジャッジサーバーID
(参考情報)
judge3 / judge1
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 3
other AC * 29
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#include<bits/stdc++.h>
#define overload4(_1, _2, _3, _4, name, ...) name
#define rep1(i, n) for (ll i = 0; i < ll(n); ++i)
#define rep2(i, s, n) for (ll i = ll(s); i < ll(n); ++i)
#define rep3(i, s, n, d) for(ll i = ll(s); i < ll(n); i+=d)
#define rep(...) overload4(__VA_ARGS__,rep3,rep2,rep1)(__VA_ARGS__)
#define rrep1(i, n) for (ll i = ll(n)-1; i >= 0; i--)
#define rrep2(i, n, t) for (ll i = ll(n)-1; i >= (ll)t; i--)
#define rrep3(i, n, t, d) for (ll i = ll(n)-1; i >= (ll)t; i-=d)
#define rrep(...) overload4(__VA_ARGS__,rrep3,rrep2,rrep1)(__VA_ARGS__)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define SUM(a) accumulate(all(a),0LL)
#define MIN(a) *min_element(all(a))
#define MAX(a) *max_element(all(a))
#define SZ(a) int(a.size())
#define popcount(x) __builtin_popcountll(x)
#define pf push_front
#define pb push_back
#define ef emplace_front
#define eb emplace_back
#define ppf pop_front
#define ppb pop_back
#ifdef __LOCAL
#define debug(...) { cout << #__VA_ARGS__; cout << ": "; print(__VA_ARGS__); cout << flush; }
#else
#define debug(...) void(0);
#endif
#define INT(...) int __VA_ARGS__;scan(__VA_ARGS__)
#define LL(...) ll __VA_ARGS__;scan(__VA_ARGS__)
#define STR(...) string __VA_ARGS__;scan(__VA_ARGS__)
#define CHR(...) char __VA_ARGS__;scan(__VA_ARGS__)
#define DBL(...) double __VA_ARGS__;scan(__VA_ARGS__)
#define LD(...) ld __VA_ARGS__;scan(__VA_ARGS__)
using namespace std;
using ll = long long;
using ld = long double;
using P = pair<int, int>;
using LP = pair<ll, ll>;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vd = vector<double>;
using vvd = vector<vd>;
using vs = vector<string>;
using vc = vector<char>;
using vvc = vector<vc>;
using vb = vector<bool>;
using vvb = vector<vb>;
using vp = vector<P>;
using vvp = vector<vp>;
template<class S, class T>
istream &operator>>(istream &is, pair<S, T> &p) { return is >> p.first >> p.second; }
template<class S, class T>
ostream &operator<<(ostream &os, const pair<S, T> &p) { return os << '{' << p.first << ", " << p.second << '}'; }
template<class S, class T, class U>
istream &operator>>(istream &is, tuple<S, T, U> &t) { return is >> get<0>(t) >> get<1>(t) >> get<2>(t); }
template<class S, class T, class U>
ostream &operator<<(ostream &os, const tuple<S, T, U> &t) {
return os << '{' << get<0>(t) << ", " << get<1>(t) << ", " << get<2>(t) << '}';
}
template<class T>
istream &operator>>(istream &is, vector<T> &v) {
for (T &t : v) { is >> t; }
return is;
}
template<class T>
ostream &operator<<(ostream &os, const vector<T> &v) {
os << '[';
rep(i, v.size()) os << v[i] << (i == int(v.size() - 1) ? "" : ", ");
return os << ']';
}
template<class T>
ostream &operator<<(ostream &os, const set<T> &st) {
os << '{';
auto it = st.begin();
while (it != st.end()) {
os << (it == st.begin() ? "" : ", ") << *it;
it++;
}
return os << '}';
}
template<class T>
void vecout(const vector<T> &v, char div = '\n') {
rep(i, v.size()) cout << v[i] << (i == int(v.size() - 1) ? '\n' : div);
}
template<class T>
bool chmin(T &a, T b) {
if (a > b) {
a = b;
return true;
}
return false;
}
template<class T>
bool chmax(T &a, T b) {
if (a < b) {
a = b;
return true;
}
return false;
}
void scan() {}
template<class Head, class... Tail>
void scan(Head &head, Tail &... tail) {
cin >> head;
scan(tail...);
}
template<class T>
void print(const T &t) { cout << t << '\n'; }
template<class Head, class... Tail>
void print(const Head &head, const Tail &... tail) {
cout << head << ' ';
print(tail...);
}
template<class... T>
void fin(const T &... a) {
print(a...);
exit(0);
}
struct Init_io {
Init_io() {
ios::sync_with_stdio(false);
cin.tie(nullptr);
cout.tie(nullptr);
cout << boolalpha << fixed << setprecision(15);
cerr << boolalpha << fixed << setprecision(15);
}
} init_io;
const string yes[] = {"no", "yes"};
const string Yes[] = {"No", "Yes"};
const string YES[] = {"NO", "YES"};
const int inf = 1001001001;
const ll linf = 1001001001001001001;
template<class T, class S>
vector<T> cumsum(const vector<S> &v, bool shift_one = true) {
int n = v.size();
vector<T> res;
if (shift_one) {
res.resize(n + 1);
rep(i, n) res[i + 1] = res[i] + v[i];
} else {
res.resize(n);
if (n) {
res[0] = v[0];
rep(i, 1, n) res[i] = res[i - 1] + v[i];
}
}
return res;
}
vvi graph(int n, int m, bool directed = false, int origin = 1) {
vvi G(n);
rep(_, m) {
INT(u, v);
u -= origin, v -= origin;
G[u].pb(v);
if (!directed) G[v].pb(u);
}
return G;
}
template<class T>
vector<vector<pair<int, T>>> weighted_graph(int n, int m, bool directed = false, int origin = 1) {
vector<vector<pair<int, T>>> G(n);
rep(_, m) {
int u, v;
T w;
scan(u, v, w);
u -= origin, v -= origin;
G[u].eb(v, w);
if (!directed) G[v].eb(u, w);
}
return G;
}
class unionfind {
int n;
vector<int> par, rank;
public:
unionfind(int n) : n(n), par(n, -1), rank(n, 0) {}
int root(int x) {
if (par[x] < 0) return x;
else return par[x] = root(par[x]);
}
bool is_root(int x) { return root(x) == x; }
bool same(int x, int y) { return root(x) == root(y); };
bool merge(int x, int y) {
x = root(x);
y = root(y);
if (x == y) return false;
if (rank[x] < rank[y]) swap(x, y);
if (rank[x] == rank[y]) rank[x]++;
par[x] += par[y];
par[y] = x;
return true;
}
int size(int x) { return -par[root(x)]; };
vi roots() {
vi res;
rep(i, n) if (root(i) == i) res.pb(i);
return res;
}
bool connected() {
return roots().size() == 1;
}
};
int main() {
INT(n, m);
vvi row(n), col(n);
rep(_, m) {
INT(r, c);
--r, --c;
row[r].pb(c);
col[c].pb(r);
}
unionfind uf(n);
rep(i, n) {
rep(j, row[i].size() - 1) uf.merge(row[i][j], row[i][j + 1]);
}
map<int, vi> mp;
rep(i, n) mp[uf.root(i)].pb(i);
vp ls;
int rem = n;
for (auto[_, v] : mp) {
set<int> st;
for (int i : v) {
for (int j : col[i]) st.insert(j);
}
ls.eb(v.size(), st.size());
rem -= st.size();
}
int sz = ls.size();
vvi mn(sz + 1, vi(n + 1, inf));
vvi mx(sz + 1, vi(n + 1, -inf));
mn[0][0] = mx[0][0] = 0;
rep(i, sz) rep(j, n + 1) {
auto[r, c] = ls[i];
if (mn[i][j] != inf) {
chmin(mn[i + 1][j], mn[i][j]);
chmin(mn[i + 1][j + r], mn[i][j] + c);
}
if (mx[i][j] != -inf) {
chmax(mx[i + 1][j], mx[i][j]);
chmax(mx[i + 1][j + r], mx[i][j] + c);
}
}
int ans = inf;
rep(i, n + 1) {
if (mn[sz][i] == inf) continue;
chmin<int>(ans, i * mn[sz][i] + (n - i) * (n - rem - mn[sz][i]) + rem * min<int>(i, n - i));
chmin<int>(ans, i * mx[sz][i] + (n - i) * (n - rem - mx[sz][i]) + rem * min<int>(i, n - i));
}
fin(ans - m);
}
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