This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "bits/stdc++.h"
using namespace std;
typedef long long ll;
typedef pair<ll, ll> pii;
typedef vector<ll> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vvvi> vvvvi;
typedef vector<pii> vpii;
#define sz(x) (ll)(x).size()
#define all(x) (x).begin(), (x).end()
const ll MOD = ((1LL << 61) - 1);
const ll P = 9973;
const ll P1 = 98999;
const ll P2 = 22573;
const ll P3 = 1367;
const ll P4 = 41809;
ll mod_mul(ll a, ll b)
{
__int128 res = (__int128)a * b;
return res % MOD;
}
int N, M; // N := #Rows, M := #Coloumns
void shift(int y, int x, int amount, int &yn, int &xn)
{
xn = x + amount;
yn = y + xn / M;
xn = xn % M;
yn = yn % N;
}
vvi grid;
vvvi dpRow; // DP within rows
vvvi dpCol; // DP within cols
vi pot;
int logheight;
ll liftRow(int y, int x, int amount)
{
ll res = 0;
for (int i = logheight - 1; i >= 0; --i)
if (amount & (1 << i))
{
res = (mod_mul(pot[1 << i], res) + dpRow[y][x][i]) % MOD;
x = (x + (1 << i)) % M;
}
return res;
}
void makeDP()
{
logheight = max(ceil(log2(M) + 1), ceil(log2(N) + 1));
pot.assign(max(N, M) * (1 << logheight) + 5, 1LL); // pot[i] = P^i
for (int l = 1; l < sz(pot); ++l)
pot[l] = mod_mul(P, pot[l - 1]);
// DP within Rows
dpRow.assign(N, vvi(M, vi(logheight, 0)));
for (int y = 0; y < N; ++y)
for (int x = 0; x < M; ++x)
dpRow[y][x][0] = grid[y][x];
for (int j = 1; j < logheight; ++j)
for (int y = 0; y < N; ++y)
for (int x = 0; x < M; ++x)
dpRow[y][x][j] = (mod_mul(pot[1 << (j - 1)], dpRow[y][x][j - 1]) + dpRow[y][(x + (1 << (j - 1))) % M][j - 1]) % MOD;
// Spalten
dpCol.assign(N, vvi(M, vi(logheight, 0)));
for (int y = 0; y < N; ++y)
for (int x = 0; x < M; ++x)
dpCol[y][x][0] = liftRow(y, x, M);
for (int j = 1; j < logheight; ++j)
for (int y = 0; y < N; ++y)
for (int x = 0; x < M; ++x)
dpCol[y][x][j] = (mod_mul(pot[M * (1 << (j - 1))], dpCol[y][x][j - 1]) + dpCol[(y + (1 << (j - 1))) % N][x][j - 1]) % MOD;
}
bool compare(int y1, int x1, int y2, int x2)
{
for (int j = logheight - 1; j >= 0; --j)
if (dpCol[y1][x1][j] == dpCol[y2][x2][j])
{
y1 = (y1 + (1 << j)) % N;
y2 = (y2 + (1 << j)) % N;
}
for (int j = logheight - 1; j >= 0; --j)
if (dpRow[y1][x1][j] == dpRow[y2][x2][j])
{
x1 = (x1 + (1 << j)) % M;
x2 = (x2 + (1 << j)) % M;
}
return grid[y1][x1] < grid[y2][x2];
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(0);
cin >> N >> M;
grid.assign(N, vi(M, 0));
for (int i = 0; i < N; ++i)
{
string tmp;
cin >> tmp;
for (int j = 0; j < M; ++j)
grid[i][j] = tmp[j];
}
makeDP();
int xmin = 0, ymin = 0;
for (int y = 0; y < N; ++y)
for (int x = 0; x < M; ++x)
if (compare(y, x, ymin, xmin))
ymin = y, xmin = x;
for (int dy = 0; dy < N; ++dy)
{
for (int dx = 0; dx < M; ++dx)
cout << (char)grid[(ymin + dy) % N][(xmin + dx) % M];
cout << "\n";
}
return 0;
}
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