# include <bits/stdc++.h>
using namespace std;
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
const int MOD = 998244353;
const int MX = 2e5+5;
const ll BIG = 1e18; // not too close to LLONG_MAX
const db PI = acos((db)-1);
const int dx[4]{1,0,-1,0}, dy[4]{0,1,0,-1}; // for every grid problem!!
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
struct DSU {
vi e; void init(int N) { e = vi(N,-1); }
int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); }
bool sameSet(int a, int b) { return get(a) == get(b); }
int size(int x) { return -e[get(x)]; }
bool unite(int x, int y) { // union by size
x = get(x), y = get(y); if (x == y) return 0;
if (e[x] > e[y]) swap(x,y);
e[x] += e[y]; e[y] = x; return 1;
}
};
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void> struct is_iterable : false_type {};
tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
decltype(end(declval<T>()))
>
> : true_type {};
tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void> struct is_readable : false_type {};
tcT> struct is_readable<T,
typename std::enable_if_t<
is_same_v<decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT> constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void> struct is_printable : false_type {};
tcT> struct is_printable<T,
typename std::enable_if_t<
is_same_v<decltype(cout << declval<T>()), ostream&>
>
> : true_type {};
tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
using ll = long long;
using db = long double; // or double, if TL is tight
using str = string; // yay python!
// pairs
using pii = pair<int,int>;
using pl = pair<ll,ll>;
using pd = pair<db,db>;
#define mp make_pair
#define f first
#define s second
#define tcT template<class T
#define tcTU tcT, class U
// ^ lol this makes everything look weird but I'll try it
tcT> using V = vector<T>;
tcT, size_t SZ> using AR = array<T,SZ>;
using vi = V<int>;
using vb = V<bool>;
using vl = V<ll>;
using vd = V<db>;
using vs = V<str>;
using vpi = V<pii>;
using vpl = V<pl>;
using vpd = V<pd>;
// vectors
// oops size(x), rbegin(x), rend(x) need C++17
#define sz(x) int((x).size())
#define bg(x) begin(x)
#define all(x) bg(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sor(x) sort(all(x))
#define rsz resize
#define ins insert
#define pb push_back
#define eb emplace_back
#define ft front()
#define bk back()
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define rep(a) F0R(_,a)
#define each(a,x) for (auto& a: x)
template<class T> using pqg = priority_queue<T,vector<T>,greater<T>>;
/*
inline namespace Helpers {
//////////// is_iterable
// https://stackoverflow.com/questions/13830158/check-if-a-variable-type-is-iterable
// this gets used only when we can call begin() and end() on that type
tcT, class = void> struct is_iterable : false_type {};
tcT> struct is_iterable<T, void_t<decltype(begin(declval<T>())),
decltype(end(declval<T>()))
>
> : true_type {};
tcT> constexpr bool is_iterable_v = is_iterable<T>::value;
//////////// is_readable
tcT, class = void> struct is_readable : false_type {};
tcT> struct is_readable<T,
typename std::enable_if_t<
is_same_v<decltype(cin >> declval<T&>()), istream&>
>
> : true_type {};
tcT> constexpr bool is_readable_v = is_readable<T>::value;
//////////// is_printable
// // https://nafe.es/posts/2020-02-29-is-printable/
tcT, class = void> struct is_printable : false_type {};
tcT> struct is_printable<T,
typename std::enable_if_t<
is_same_v<decltype(cout << declval<T>()), ostream&>
>
> : true_type {};
tcT> constexpr bool is_printable_v = is_printable<T>::value;
}*/
const int N = 2000, inf = 1e9;
int t,n,m, dp[N][N],a[N][N], dphor[N],toadd[N];
main() {
std::ios_base::sync_with_stdio(false),cin.tie(0),cout.tie(0);
cin>>n>>m;
for (int i = 1; i <= n; i++) {
for (int j = 0; j < m; j++) {
char ch;
cin>>ch;
a[i][j] = (ch == '#');
}
}
for (int i = 0; i <= n; i++) {
for (int j = 0; j < (1<<m); j++) {
dp[i][j] = inf;
}
}
dp[0][0] = 0;
for (int i = 1; i <= n; i++) {
int all = 0;
for (int x = 0; x < m; x++) {
if (a[i][x]) all |= (1<<x);
}
for (int mask = 0; mask < (1<<m); mask++) {
// Using only horizontal chains
dphor[mask] = 0;
if ((mask|all) != all) continue;
for (int x = 0; x < m; x++) {
if (mask&(1<<x)) {
if (x == 0) {
dphor[mask]++; continue;
}
if (mask&(1<<(x - 1))) continue;
else dphor[mask]++;
}
}
}
for (int mask = 0; mask < (1<<m); mask++) toadd[mask] = inf;
for (int mask = 0; mask < (1<<m); mask++) {
// at least mask is used in the previous row
for (int x = mask; x >= 0; x = (x - 1)&mask) {
toadd[x] = min(toadd[x], dp[i - 1][mask]);
if (x == 0) break;
}
}
for (int mask = 0; mask < (1<<m); mask++) {
dp[i][mask] = inf;
// If a square is covered by a vertical chain ----- > mask[j] == 1
// else mask[j] = 0;
if ((mask | all) != all) continue;
for (int x = mask; x >= 0; x = (x - 1) & mask) {
dp[i][mask] = min(dp[i][mask], toadd[x] + __builtin_popcount(x ^ mask) + dphor[all ^ mask]);
if (x == 0) break;
}
}
}
int ans = inf;
for (int mask = 0; mask < (1<<m); mask++) ans = min(ans, dp[n][mask]);
cout<<ans<<"\n";
}
Compilation message
Main.cpp:183:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
183 | main() {
| ^~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
80 ms |
11248 KB |
Output is correct |
3 |
Correct |
14 ms |
8608 KB |
Output is correct |
4 |
Correct |
31 ms |
10004 KB |
Output is correct |
5 |
Correct |
81 ms |
11988 KB |
Output is correct |
6 |
Correct |
84 ms |
11988 KB |
Output is correct |
7 |
Correct |
84 ms |
11752 KB |
Output is correct |
8 |
Correct |
76 ms |
11220 KB |
Output is correct |
9 |
Correct |
78 ms |
11316 KB |
Output is correct |
10 |
Correct |
190 ms |
12184 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
2 ms |
468 KB |
Output is correct |
3 |
Correct |
1 ms |
468 KB |
Output is correct |
4 |
Correct |
2 ms |
468 KB |
Output is correct |
5 |
Correct |
1 ms |
468 KB |
Output is correct |
6 |
Correct |
2 ms |
468 KB |
Output is correct |
7 |
Correct |
1 ms |
340 KB |
Output is correct |
8 |
Correct |
2 ms |
472 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
468 KB |
Output is correct |
2 |
Correct |
80 ms |
11248 KB |
Output is correct |
3 |
Correct |
14 ms |
8608 KB |
Output is correct |
4 |
Correct |
31 ms |
10004 KB |
Output is correct |
5 |
Correct |
81 ms |
11988 KB |
Output is correct |
6 |
Correct |
84 ms |
11988 KB |
Output is correct |
7 |
Correct |
84 ms |
11752 KB |
Output is correct |
8 |
Correct |
76 ms |
11220 KB |
Output is correct |
9 |
Correct |
78 ms |
11316 KB |
Output is correct |
10 |
Correct |
190 ms |
12184 KB |
Output is correct |
11 |
Correct |
1 ms |
468 KB |
Output is correct |
12 |
Correct |
2 ms |
468 KB |
Output is correct |
13 |
Correct |
1 ms |
468 KB |
Output is correct |
14 |
Correct |
2 ms |
468 KB |
Output is correct |
15 |
Correct |
1 ms |
468 KB |
Output is correct |
16 |
Correct |
2 ms |
468 KB |
Output is correct |
17 |
Correct |
1 ms |
340 KB |
Output is correct |
18 |
Correct |
2 ms |
472 KB |
Output is correct |
19 |
Correct |
5 ms |
8148 KB |
Output is correct |
20 |
Correct |
17 ms |
9220 KB |
Output is correct |
21 |
Correct |
33 ms |
10196 KB |
Output is correct |
22 |
Correct |
79 ms |
11720 KB |
Output is correct |
23 |
Correct |
79 ms |
11740 KB |
Output is correct |
24 |
Correct |
78 ms |
11664 KB |
Output is correct |
25 |
Correct |
89 ms |
11968 KB |
Output is correct |
26 |
Correct |
115 ms |
11472 KB |
Output is correct |
27 |
Correct |
188 ms |
11488 KB |
Output is correct |
28 |
Correct |
272 ms |
11872 KB |
Output is correct |