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Submission #1011815

# Submission time Handle Problem Language Result Execution time Memory
1011815 2024-07-01T09:07:06 Z vjudge1 Sateliti (COCI20_satellti) C++17
110 / 110
 746 ms 22024 KB 
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 2000 + 5, p = 727, q = 311, mod = 1'000'000'009;
char M[N][N];
int pwp[N], pwq[N], invp[N], invq[N], n, m;
int hsh[N][N];

int charhash(char c, int i, int j) {
  ll ans = c;
  ans = ans * pwp[i] % mod;
  ans = ans * pwq[j] % mod;
  return ans;
}

ll pw(int a, int b)
{
  if(!b) return 1;
  ll ans = pw(a, b / 2);
  ans = ans * ans % mod;
  if(b & 1) ans = ans * a % mod;
  return ans;
}

int gethash(int x1, int y1, int x2, int y2)
{
  ll ans = 1ll * (hsh[x2][y2] + hsh[x1][y1]) % mod - (hsh[x1][y2] + hsh[x2][y1]) % mod;
  ans = (ans % mod + mod) % mod;
  ans = ans * invp[x1] % mod;
  ans = ans * invq[y1] % mod;
  return ans;
}

void preprocess()
{
  pwp[0] = 1;
  for(int i = 1; i <= 2 * n; i ++)
    pwp[i] = 1ll * pwp[i - 1] * p % mod;

  pwq[0] = 1;
  for(int i = 1; i <= 2 * m; i ++)
    pwq[i] = 1ll * pwq[i - 1] * q % mod;

  invp[2 * n] = pw(pwp[2 * n], mod - 2);
  invq[2 * m] = pw(pwq[2 * m], mod - 2);

  for(int i = 2 * n - 1; i >= 0; i--)
    invp[i] = 1ll * invp[i + 1] * p % mod;

  for(int i = 2 * m - 1; i >= 0; i--)
    invq[i] = 1ll * invq[i + 1] * q % mod;
  
  for(int i = 0; i < 2 * n; i ++)
    for(int j = 0; j < 2 * m; j++)
      hsh[i + 1][j + 1] = ((1ll * charhash(M[i][j], i, j) + hsh[i + 1][j] + hsh[i][j + 1] - hsh[i][j]) % mod + mod) % mod;
}

bool Less(pair<int,int> p1, pair<int,int> p2)
{
  int x1 = p1.first, y1 = p1.second;
  int x2 = p2.first, y2 = p2.second;
  if(gethash(x1, y1, x1 + n, y1 + m) == gethash(x2, y2, x2 + n, y2 + m)) return false;

  int l = 0, r = n;
  while(r - l > 1)
    {
      int mid = (l + r) / 2;
      if(gethash(x1, y1, x1 + mid, y1 + m) == gethash(x2, y2, x2 + mid, y2 + m))
	l = mid;
      else
	r = mid;
    }
  int r1 = x1 + l, r2 = x2 + l;

  l = 0, r = m;

  while(r - l > 1)
    {
      int mid = (l + r) / 2;
      if(gethash(r1, y1, r1 + 1, y1 + mid) == gethash(r2, y2, r2 + 1, y2 + mid))
	l = mid;
      else
	r = mid;
    }
  int c1 = y1 + l, c2 = y2 + l;
  return M[r1][c1] < M[r2][c2];  
}

int main()
{
  cin >> n >> m;
  for(int i = 0; i < n; i ++)
    for(int j = 0; j < m; j ++)
      {
	cin >> M[i][j];
	M[n + i][j] = M[i][j + m] = M[n + i][j + m] = M[i][j];
      }

  preprocess();
  pair<int,int> ans = {0, 0};
  for(int i = 0; i < n; i ++)
    for(int j = 0; j < m; j++)
      if(Less(make_pair(i, j), ans))
	  ans = make_pair(i, j);

  for(int i = 0; i < n; i ++)
    {
      for(int j = 0; j < m ; j ++)
	cout << M[i + ans.first][j + ans.second];
      cout << endl;
    }
  return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 1032 KB Output is correct
3 Correct 2 ms 1112 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct

Subtask #2
40.0 / 40.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 1032 KB Output is correct
3 Correct 2 ms 1112 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 56 ms 5332 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 4032 KB Output is correct
11 Correct 67 ms 5348 KB Output is correct
12 Correct 62 ms 5712 KB Output is correct
13 Correct 57 ms 5464 KB Output is correct
14 Correct 61 ms 5468 KB Output is correct
15 Correct 57 ms 5468 KB Output is correct
16 Correct 58 ms 5464 KB Output is correct
17 Correct 59 ms 5468 KB Output is correct

Subtask #3
60.0 / 60.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 1032 KB Output is correct
3 Correct 2 ms 1112 KB Output is correct
4 Correct 1 ms 860 KB Output is correct
5 Correct 1 ms 860 KB Output is correct
6 Correct 2 ms 860 KB Output is correct
7 Correct 1 ms 860 KB Output is correct
8 Correct 56 ms 5332 KB Output is correct
9 Correct 2 ms 604 KB Output is correct
10 Correct 2 ms 4032 KB Output is correct
11 Correct 67 ms 5348 KB Output is correct
12 Correct 62 ms 5712 KB Output is correct
13 Correct 57 ms 5464 KB Output is correct
14 Correct 61 ms 5468 KB Output is correct
15 Correct 57 ms 5468 KB Output is correct
16 Correct 58 ms 5464 KB Output is correct
17 Correct 59 ms 5468 KB Output is correct
18 Correct 693 ms 21796 KB Output is correct
19 Correct 11 ms 12380 KB Output is correct
20 Correct 14 ms 868 KB Output is correct
21 Correct 671 ms 22024 KB Output is correct
22 Correct 733 ms 21820 KB Output is correct
23 Correct 678 ms 21816 KB Output is correct
24 Correct 740 ms 21840 KB Output is correct
25 Correct 658 ms 21820 KB Output is correct
26 Correct 746 ms 21844 KB Output is correct
27 Correct 715 ms 21844 KB Output is correct