This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
//author: Ahmet Alp Orakci
#include <bits/stdc++.h>
using namespace std;
using i64 = long long;
#define int i64
const int MAXN = 1E3 + 5;
char matrix[MAXN][MAXN];
#define ONLINE_JUDGE
void solve() {
int n, k;
cin >> n >> k;
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
cin >> matrix[i][j];
}
}
auto reversex = [&](int x) -> void {
for(int i = 1; i <= n; i++) {
matrix[x][i] = (matrix[x][i] == 'o' ? 'x' : 'o');
}
};
auto reversey = [&](int x) -> void {
for(int i = 1; i <= n; i++) {
matrix[i][x] = (matrix[i][x] == 'o' ? 'x' : 'o');
}
};
int anss = int(1E18);
for(int t = 1; t <= n; t++) {
vector <bool> rev(n);
for(int i = 1; i <= n; i++) {
if(matrix[i][t] != 'o') {
reversex(i);
rev[i] = true;
}
}
int ans = 0;
for(int i = 1; i <= n; i++) {
int cnto = 0;
for(int j = 1; j <= n; j++) {
cnto += (matrix[j][i] == 'o');
}
ans += min(cnto, n - cnto);
}
/*
cerr << t << " :: " << ans << "\n";
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
cerr << matrix[i][j];
}
cerr << "\n";
}
*/
assert(0 <= ans);
anss = min(anss, ans);
for(int i = 1; i <= n; i++) {
if(rev[i]) {
reversex(i);
}
}
}
for(int t = 1; t <= n; t++) {
vector <bool> rev(n);
for(int i = 1; i <= n; i++) {
if(matrix[t][i] != 'o') {
reversey(i);
rev[i] = true;
}
}
int ans = 0;
for(int i = 1; i <= n; i++) {
int cnto = 0;
for(int j = 1; j <= n; j++) {
cnto += (matrix[i][j] == 'o');
}
ans += min(cnto, n - cnto);
}
/*
cerr << t << " :: " << ans << "\n";
for(int i = 1; i <= n; i++) {
for(int j = 1; j <= n; j++) {
cerr << matrix[i][j];
}
cerr << "\n";
}
*/
assert(0 <= ans);
anss = min(anss, ans);
for(int i = 1; i <= n; i++) {
if(rev[i]) {
reversey(i);
}
}
}
{
int ans = 0;
for(int i = 0; i <= n; i++) {
int cnt = 0;
for(int j = 0; j <= n; j++) {
cnt += matrix[i][j] == 'o';
}
ans += min(cnt, n - cnt);
}
anss = min(anss, ans);
}
{
int ans = 0;
for(int i = 0; i <= n; i++) {
int cnt = 0;
for(int j = 0; j <= n; j++) {
cnt += matrix[j][i] == 'o';
}
ans += min(cnt, n - cnt);
}
anss = min(anss, ans);
}
assert(0 <= anss);
cerr << anss;
cout << (anss <= k ? "DA" : "NE");
return;
}
signed main() {
#ifndef ONLINE_JUDGE
freopen(".in", "r", stdin);
freopen(".out", "w", stdout);
#endif
ios_base::sync_with_stdio(false);
cin.tie(NULL); cout.tie(NULL);
int t = 1; //cin >> t;
for(int i = 1; i <= t; i++) {
solve();
}
return 0;
}
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