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Submission #645753

# Submission time Handle Problem Language Result Execution time Memory
645753 2022-09-27T19:44:37 Z Alex_tz307 Lucky Numbers (RMI19_lucky) C++17
100 / 100
 94 ms 12976 KB 
#include <bits/stdc++.h>

using namespace std;

const int mod = 1e9 + 7;
string s;

void addSelf(int &x, int y) {
  x += y;
  if (x >= mod) {
    x -= mod;
  }
}

int mult(int x, int y) {
  return (int64_t)x * y % mod;
}

struct node {
  int small[2][2]; /// strict mai mic
  int eq[2][2]; /// egal
  int big[2][2]; /// strict mai mare

  /// 00 - nu incepe cu 3, nu se termina cu 1
  /// 01 - nu incepe cu 3, se termina cu 1
  /// 10 - incepe cu 3, nu se termina cu 1
  /// 11 - incepe cu 3, se termina cu 1

  void setLeaf(int c) {
    small[0][0] = c - (c > 1) - (c > 3);
    small[1][0] = (c > 3);
    small[0][1] = (c > 1);
    small[1][1] = 0;

    eq[0][0] = ((c != 1) && (c != 3));
    eq[1][0] = (c == 3);
    eq[0][1] = (c == 1);
    eq[1][1] = 0;

    big[0][0] = 9 - c - (c < 1) - (c < 3);
    big[1][0] = (c < 3);
    big[0][1] = (c < 1);
    big[1][1] = 0;
  }

  node operator + (const node &rhs) const {
    node res;

    for (int left = 0; left <= 1; ++left) {

      for (int right = 0; right <= 1; ++right) {

        res.small[left][right] = 0;
        res.eq[left][right] = 0;
        res.big[left][right] = 0;

        for (int left1 = 0; left1 <= 1; ++left1) {

          for (int right3 = 0; right3 <= 1 - left1; ++right3) {

            addSelf(res.small[left][right], mult(small[left][left1], rhs.small[right3][right]));
            addSelf(res.small[left][right], mult(small[left][left1], rhs.eq[right3][right]));
            addSelf(res.small[left][right], mult(small[left][left1], rhs.big[right3][right]));
            addSelf(res.small[left][right], mult(eq[left][left1], rhs.small[right3][right]));

            addSelf(res.eq[left][right], mult(eq[left][left1], rhs.eq[right3][right]));

            addSelf(res.big[left][right], mult(big[left][left1], rhs.small[right3][right]));
            addSelf(res.big[left][right], mult(big[left][left1], rhs.eq[right3][right]));
            addSelf(res.big[left][right], mult(big[left][left1], rhs.big[right3][right]));
            addSelf(res.big[left][right], mult(eq[left][left1], rhs.big[right3][right]));

          }

        }

      }

    }

    return res;
  }
};

struct ST {
  int n;
  vector<node> t;

  ST(int N) : n(N) {
    int dim = 1;
    while (dim < n) {
      dim *= 2;
    }
    t.resize(dim * 2);
  }

  void build(int x, int lx, int rx) {
    if (lx == rx) {
      t[x].setLeaf(s[lx] - '0');
      return;
    }

    int mid = (lx + rx) / 2;

    build(x * 2, lx, mid);
    build(x * 2 + 1, mid + 1, rx);

    t[x] = t[x * 2] + t[x * 2 + 1];
  }

  void update(int x, int lx, int rx, int pos) {
    if (lx == rx) {
      t[x].setLeaf(s[pos] - '0');
      return;
    }

    int mid = (lx + rx) / 2;

    if (pos <= mid) {
      update(x * 2, lx, mid, pos);
    } else {
      update(x * 2 + 1, mid + 1, rx, pos);
    }

    t[x] = t[x * 2] + t[x * 2 + 1];
  }

  void update(int pos) {
    update(1, 1, n, pos);
  }

  node query(int x, int lx, int rx, int st, int dr) {
    if (st <= lx && rx <= dr) {
      return t[x];
    }

    int mid = (lx + rx) / 2;

    if (st <= mid && mid < dr) {
      return query(x * 2, lx, mid, st, dr) + query(x * 2 + 1, mid + 1, rx, st, dr);
    } else if (st <= mid) {
      return query(x * 2, lx, mid, st, dr);
    } else {
      return query(x * 2 + 1, mid + 1, rx, st, dr);
    }
  }

  node query(int st, int dr) {
    return query(1, 1, n, st, dr);
  }
};

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);

  int n, q;
  cin >> n >> q >> s;
  s = '$' + s;

  ST t(n);
  t.build(1, 1, n);

  auto solve = [&](int x, int y) -> int {
    node res = t.query(x, y);
    int ans = 0;
    for (int i = 0; i <= 1; ++i) {
      for (int j = 0; j <= 1; ++j) {
        addSelf(ans, res.small[i][j]);
        addSelf(ans, res.eq[i][j]);
      }
    }
    return ans;
  };

  cout << solve(1, n) << '\n';

  for (int i = 0; i < q; ++i) {
    int op, x, y;
    cin >> op >> x >> y;

    if (op == 1) {
      cout << solve(x, y) << '\n';
    } else if ((s[x] - '0') != y) {
      s[x] = '0' + y;
      t.update(x);
    }
  }
  return 0;
}

Subtask #1
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct

Subtask #2
14.0 / 14.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 1176 KB Output is correct
2 Correct 44 ms 1960 KB Output is correct

Subtask #4
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 1176 KB Output is correct
2 Correct 44 ms 1960 KB Output is correct
3 Correct 59 ms 12876 KB Output is correct
4 Correct 58 ms 12848 KB Output is correct
5 Correct 65 ms 12872 KB Output is correct
6 Correct 76 ms 12860 KB Output is correct
7 Correct 79 ms 12968 KB Output is correct

Subtask #5
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 27 ms 1176 KB Output is correct
8 Correct 44 ms 1960 KB Output is correct
9 Correct 28 ms 1152 KB Output is correct
10 Correct 39 ms 1932 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 0 ms 212 KB Output is correct
7 Correct 27 ms 1176 KB Output is correct
8 Correct 44 ms 1960 KB Output is correct
9 Correct 59 ms 12876 KB Output is correct
10 Correct 58 ms 12848 KB Output is correct
11 Correct 65 ms 12872 KB Output is correct
12 Correct 76 ms 12860 KB Output is correct
13 Correct 79 ms 12968 KB Output is correct
14 Correct 28 ms 1152 KB Output is correct
15 Correct 39 ms 1932 KB Output is correct
16 Correct 59 ms 12852 KB Output is correct
17 Correct 60 ms 12836 KB Output is correct
18 Correct 66 ms 12844 KB Output is correct
19 Correct 94 ms 12976 KB Output is correct
20 Correct 77 ms 12872 KB Output is correct