#include <bits/stdc++.h>
using namespace std;
//#include <ext/pb_ds/assoc_container.hpp>
//using namespace __gnu_pbds;
//template<class T> using Tree = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
using tint = long long;
using ld = long double;
#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 trav(a,x) for (auto& a: x)
using pi = pair<int,int>;
using pl = pair<tint,tint>;
using vi = vector<int>;
using vl = vector<tint>;
using vpi = vector<pi>;
using vpl = vector<pl>;
using vvi = vector<vi>;
using vvl = vector<vl>;
using vb = vector<bool>;
#define pb push_back
#define pf push_front
#define rsz resize
#define all(x) begin(x), end(x)
#define rall(x) x.rbegin(), x.rend()
#define sz(x) (int)(x).size()
#define ins insert
#define f first
#define s second
#define mp make_pair
#define DBG(x) cerr << #x << " = " << x << endl;
const int MOD = 1e9+7;
const int mod = 998244353;
const int MX = 1005;
const tint INF = 1e18;
const int inf = 1e9;
const ld PI = acos(ld(-1));
const ld eps = 1e-5;
const int dx[4] = {1, -1, 0, 0};
const int dy[4] = {0, 0, 1, -1};
template<class T> void remDup(vector<T> &v){
sort(all(v)); v.erase(unique(all(v)),end(v));
}
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0;
}
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0;
}
bool valid(int x, int y, int n, int m){
return (0<=x && x<n && 0<=y && y<m);
}
int cdiv(int a, int b) { return a/b+((a^b)>0&&a%b); } //redondea p arriba
int fdiv(int a, int b) { return a/b-((a^b)<0&&a%b); } //redondea p abajo
void NACHO(string name = ""){
ios_base::sync_with_stdio(0); cin.tie(0);
if(sz(name)){
freopen((name+".in").c_str(), "r", stdin);
freopen((name+".out").c_str(), "w", stdout);
}
}
struct mi {
int v; explicit operator int() const { return v; }
mi() { v = 0; }
mi(tint _v):v(_v%MOD) { v += (v<0)*MOD; }
};
mi& operator+=(mi& a, mi b) {
if ((a.v += b.v) >= MOD) a.v -= MOD;
return a; }
mi& operator-=(mi& a, mi b) {
if ((a.v -= b.v) < 0) a.v += MOD;
return a; }
mi operator+(mi a, mi b) { return a += b; }
mi operator-(mi a, mi b) { return a -= b; }
mi operator*(mi a, mi b) { return mi((tint)a.v*b.v); }
mi& operator*=(mi& a, mi b) { return a = a*b; }
mi pow(mi a, tint p) { assert(p >= 0);
return p==0?1:pow(a*a,p/2)*(p&1?a:1); }
mi inv(mi a) { assert(a.v != 0); return pow(a,MOD-2); }
mi operator/(mi a, mi b) { return a*inv(b); }
char a[MX][MX];
mi hsh[2*MX][2*MX];
mi sh[2*MX][2*MX];
mi pw1[2*MX], pw2[2*MX];
int P1 = 9973, P2 = 10007;
mi query(int a, int b, int c, int d){
return sh[c][d] - sh[a-1][d] - sh[c][b-1] + sh[a-1][b-1];
}
int main(){
NACHO();
// trabajar con los shifts es molesto. Por eso creamos una nueva matriz de tamaño 2*n y 2*m
// para que un shift corresponda a cualquier submatriz de n*m en esta nueva matriz.
// como comparamos lexicograficamente dos submatrices?
// podemos hacerlo con hashing en O(logn).
int n, m; cin >> n >> m;
pw1[0] = pw2[0] = 1;
FOR(i, 1, 2*n+1) pw1[i] = pw1[i-1] * P1;
FOR(i, 1, 2*m+1) pw2[i] = pw2[i-1] * P2;
F0R(i, n) cin >> a[i];
F0R(i, 2*n){
F0R(j, 2*m){
hsh[i][j] = a[i%n][j%m] * pw1[i+1] * pw2[j+1];
}
}
FOR(i, 1, 2*n+1){
FOR(j, 1, 2*m+1){
sh[i][j] = sh[i-1][j] + sh[i][j-1] - sh[i-1][j-1] + hsh[i-1][j-1];
}
}
int posX = 1, posY = 1;
FOR(i, 1, n+2){
FOR(j, 1, m+2){
int low = -1, high = n;
while(high-low > 1){
int mid = low+(high-low)/2;
mi curHshErase = query(i, j, i+mid, j+m-1) * (pw1[posX] * pw2[posY]);
mi bestHshErase = query(posX, posY, posX+mid, posY+m-1) * (pw1[i] * pw2[j]);
if((int)curHshErase == (int)bestHshErase) low = mid;
else high = mid;
}
int X = high;
low = -1, high = m;
while(high-low > 1){
int mid = low+(high-low)/2;
mi curHshErase = query(i, j, i+X, j+mid) * (pw1[posX] * pw2[posY]);
mi bestHshErase = query(posX, posY, posX+X, posY+mid) * (pw1[i] * pw2[j]);
if((int)curHshErase == (int)bestHshErase) low = mid;
else high = mid;
}
int Y = high;
if(a[(i+X-1)%n][(j+Y-1)%m] < a[(posX+X-1)%n][(posY+Y-1)%m]){
posX = i, posY = j;
}
}
}
FOR(i, posX-1, posX+n-1){
FOR(j, posY-1, posY+m-1){
cout << a[i%n][j%m];
}
cout << "\n";
}
}
/*
3 5
..*.*
**..*
****.
*/
Compilation message
Main.cpp: In function 'void NACHO(std::string)':
Main.cpp:74:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
74 | freopen((name+".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:75:10: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
75 | freopen((name+".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 2 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 3 |
Correct |
15 ms |
31936 KB |
Output is correct |
| 4 |
Correct |
15 ms |
31960 KB |
Output is correct |
| 5 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 6 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 7 |
Correct |
15 ms |
31948 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 2 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 3 |
Correct |
15 ms |
31936 KB |
Output is correct |
| 4 |
Correct |
15 ms |
31960 KB |
Output is correct |
| 5 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 6 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 7 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 8 |
Correct |
52 ms |
32224 KB |
Output is correct |
| 9 |
Correct |
15 ms |
31952 KB |
Output is correct |
| 10 |
Correct |
15 ms |
32192 KB |
Output is correct |
| 11 |
Correct |
50 ms |
32240 KB |
Output is correct |
| 12 |
Correct |
54 ms |
32324 KB |
Output is correct |
| 13 |
Correct |
51 ms |
32244 KB |
Output is correct |
| 14 |
Correct |
54 ms |
32244 KB |
Output is correct |
| 15 |
Correct |
51 ms |
32236 KB |
Output is correct |
| 16 |
Correct |
63 ms |
32240 KB |
Output is correct |
| 17 |
Correct |
54 ms |
32236 KB |
Output is correct |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 2 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 3 |
Correct |
15 ms |
31936 KB |
Output is correct |
| 4 |
Correct |
15 ms |
31960 KB |
Output is correct |
| 5 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 6 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 7 |
Correct |
15 ms |
31948 KB |
Output is correct |
| 8 |
Correct |
52 ms |
32224 KB |
Output is correct |
| 9 |
Correct |
15 ms |
31952 KB |
Output is correct |
| 10 |
Correct |
15 ms |
32192 KB |
Output is correct |
| 11 |
Correct |
50 ms |
32240 KB |
Output is correct |
| 12 |
Correct |
54 ms |
32324 KB |
Output is correct |
| 13 |
Correct |
51 ms |
32244 KB |
Output is correct |
| 14 |
Correct |
54 ms |
32244 KB |
Output is correct |
| 15 |
Correct |
51 ms |
32236 KB |
Output is correct |
| 16 |
Correct |
63 ms |
32240 KB |
Output is correct |
| 17 |
Correct |
54 ms |
32236 KB |
Output is correct |
| 18 |
Correct |
469 ms |
33816 KB |
Output is correct |
| 19 |
Correct |
18 ms |
32864 KB |
Output is correct |
| 20 |
Correct |
21 ms |
31976 KB |
Output is correct |
| 21 |
Correct |
441 ms |
34884 KB |
Output is correct |
| 22 |
Correct |
508 ms |
34796 KB |
Output is correct |
| 23 |
Correct |
444 ms |
34808 KB |
Output is correct |
| 24 |
Correct |
516 ms |
34884 KB |
Output is correct |
| 25 |
Correct |
436 ms |
34920 KB |
Output is correct |
| 26 |
Correct |
512 ms |
34800 KB |
Output is correct |
| 27 |
Correct |
542 ms |
34808 KB |
Output is correct |
