Submission #617047

# Submission time Handle Problem Language Result Execution time Memory
617047 2022-08-01T08:23:52 Z juancarlovieri Palinilap (COI16_palinilap) C++17
17 / 100
77 ms 24028 KB
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define mod 1000000007

mt19937 gen(33);
uniform_int_distribution<> rd(1, 1000000000);
int pre[100005];
int prer[100005];
int pw[100005];
int p;
int all[100005][26];
int n;

int take(int l, int r) {
  int res = pre[r];
  if (l) {
    res -= pw[r - l + 1] * pre[l - 1] % mod;
  }
  res += mod;
  res %= mod;
  return res;
}

int takerev(int l, int r) {
  int res = prer[r];
  if (r) {
    res -= pw[r - l + 1] * prer[l - 1] % mod;
  }
  res += mod;
  res %= mod;
  return res;
}

bool eq(int a, int b, int c, int d) {
  return take(a, b) == takerev(n - d - 1, n - c - 1);
}

signed main() {
  p = rd(gen);
  string s;
  cin >> s;
  n = s.length();
  auto srev = s;
  reverse(srev.begin(), srev.end());
  pw[0] = 1;
  for (int i = 1; i < n; ++i) pw[i] = pw[i - 1] * p % mod;
  pre[0] = s[0] % mod;
  for (int i = 1; i < n; ++i) {
    pre[i] = (pre[i - 1] * p % mod + s[i]) % mod;
  }
  prer[0] = srev[0] % mod;
  for (int i = 1; i < n; ++i) {
    prer[i] = (prer[i - 1] * p % mod + srev[i]) % mod;
  }
  int act = 0;
  vector<int> diff(n + 5);
  // cout << pw[2] << endl;
  // cout << take(0, 1) <<  ' ' << take(2, 3) << endl;

  for (int i = 0; i < n; ++i) {
    for (int j = i; j <= i + 1; ++j) {
      if (j >= n) continue;
      int lo = 0, hi = min(i, n - j - 1);
      while (lo <= hi) {
        int mid = (lo + hi) / 2;
        if (eq(i - mid, i, j, j + mid)) {
        // if (take(i - mid, i) == take(j, j + mid)) {
          lo = mid + 1;
        } else hi = mid - 1;
      }
      if (hi >= 0) {
        // assert(take(i - hi, i) == take(j, j + hi)); 
      }
      // cout << "hi" << hi << ' ' << take(0, 1) << ' ' << takerev(0, 1) << endl;
      act += hi + 1;
      if (i == j) {
        diff[i - hi] += -1;
        diff[i] -= -1;
        diff[i] += hi;
        diff[i + 1] += -2 * hi;
        diff[i + 2] += hi;
        diff[i + 1] += 1;
        diff[i + hi + 1] -= 1;
      } else {
        diff[i - hi] += -1;
        diff[i + 1] -= -1;
        diff[i + 2] += 1;
        diff[i + 1 + hi + 2] -= 1;
      }

      int x = i - hi - 1;
      int y = j + hi + 1;
      if (x < 0 or y > n - 1) continue;
      lo = 1, hi = min(x, n - y - 1);
      while (lo <= hi) {
        int mid = (lo + hi) / 2;
        if (eq(x - mid, x - 1, y + 1, y + mid)) {
        // if (take(x - mid, x - 1) == take(y + 1, y + mid)) {
          lo = mid + 1;
        } else hi = mid - 1;
      }
      if (hi > 0) {
        // assert(take(x - hi, x - 1) == take(y + 1, y + hi));
      }
      // if (i == 0 and j == 1) cout << x << ' ' << y << ' ' << hi + 1 << endl;
      all[x][s[y] - 'a'] += hi + 1;
      all[y][s[x] - 'a'] += hi + 1;
    }
  }
  int ans = act;
  int cur = act;
  // cout << cur << endl;
  int delta = 0;
  for (int i = 0; i < n; ++i) {
    delta += diff[i];
    cur += delta;
    // cout << delta << endl; 
    for (int j = 0; j < 26; ++j) {
      if ((s[i] - 'a') == j) continue;
      // cout << all[i][j] << ' ';
      // if (i == 1 and j == 2) cout << "INI " << all[i][j] << endl;
      ans = max(ans, cur + all[i][j]);
      // if (i == 1 and j == 0) cout << cur << endl;
      // cout << i << ' ' << j << ' ' << cur + all[i][j] + 1 << endl;
    }
    // cout << endl;
    // cout << cur << ' ';
  }
  // cout << endl;
  cout << ans << endl;
  delta += diff[n];
  cur += delta;
  assert(cur == act);
  // cout << cur << endl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 340 KB Output is correct
4 Correct 1 ms 324 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 2 ms 1492 KB Output is correct
2 Correct 3 ms 1492 KB Output is correct
3 Incorrect 5 ms 1492 KB Output isn't correct
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Incorrect 77 ms 24028 KB Output isn't correct
2 Halted 0 ms 0 KB -