Submission #493560

# Submission time Handle Problem Language Result Execution time Memory
493560 2021-12-12T06:17:47 Z 600Mihnea Crossing (JOI21_crossing) C++17
100 / 100
2260 ms 45328 KB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

/// Delete all asserts for extra Boost

class Node {
public:
  bool stequal = false;
  bool jequal = false;
  bool oequal = false;
  bool iequal = false;
};

Node operator + (Node a, Node b) {
  a.stequal &= b.stequal;
  a.jequal &= b.jequal;
  a.oequal &= b.oequal;
  a.iequal &= b.iequal;
  return a;
}

class IsEqual {
private:
  string s;
  string t;
  int n;
  vector<Node> tree;
  vector<char> lazy;

  void build(int v, int tl, int tr) {
    if (tl == tr) {
      tree[v].stequal = (s[tl] == t[tl]);
      tree[v].jequal = (s[tl] == 'J');
      tree[v].oequal = (s[tl] == 'O');
      tree[v].iequal = (s[tl] == 'I');

    } else {
      int tm = (tl + tr) / 2;
      build(2 * v, tl, tm);
      build(2 * v + 1, tm + 1, tr);
      tree[v] = tree[2 * v] + tree[2 * v + 1];
    }
  }

  void modify(int v, int tl, int tr, int l, int r, char ch) {
    if (lazy[v] != 'X') { /// push
      assert(lazy[v] == 'J' || lazy[v] == 'O' || lazy[v] == 'I');
      if (lazy[v] == 'J') {
        tree[v].stequal = tree[v].jequal;
      } else {
        if (lazy[v] == 'O') {
          tree[v].stequal = tree[v].oequal;
        } else {
          tree[v].stequal = tree[v].iequal;
        }
      }
      if (tl < tr) {
        lazy[2 * v] = lazy[2 * v + 1] = lazy[v];
      }
      lazy[v] = 'X';
    }
    if (tr < l || r < tl) {
      return;
    }
    if (l <= tl && tr <= r) {
      lazy[v] = ch;
      assert(lazy[v] == 'J' || lazy[v] == 'O' || lazy[v] == 'I');
      if (lazy[v] == 'J') {
        tree[v].stequal = tree[v].jequal;
      } else {
        if (lazy[v] == 'O') {
          tree[v].stequal = tree[v].oequal;
        } else {
          tree[v].stequal = tree[v].iequal;
        }
      }
      if (tl < tr) {
        lazy[2 * v] = lazy[2 * v + 1] = lazy[v];
      }
      lazy[v] = 'X';
    } else {
      int tm = (tl + tr) / 2;
      modify(2 * v, tl, tm, l, r, ch);
      modify(2 * v + 1, tm + 1, tr, l, r, ch);
      tree[v] = tree[2 * v] + tree[2 * v + 1];
    }
  }

public:

  IsEqual(string s, string t) : s(s), t(t), n((int) s.size()), tree(4 * ((int) s.size() + 7)), lazy(4 * ((int) s.size()), 'X') {
    assert((int) s.size() == (int) t.size());
    build(1, 0, n - 1);
  }

  void modify(int l, int r, char ch) {
    l--;
    r--;
    assert(0 <= l && l <= r && r < n);
    modify(1, 0, n - 1, l, r, ch);
  }

  bool isEqual() {
    return tree[1].stequal;
  }
};

string operator + (string s, string t) {
  assert((int) s.size() == (int) t.size());
  for (int i = 0; i < (int) s.size(); i++) {
    if (s[i] != t[i]) {
      int x = 'J' + 'O' + 'I' - s[i] - t[i];
      s[i] = x;
    }
  }
  return s;
}

signed main() {
  ios::sync_with_stdio(0); cin.tie(0);

 /// freopen ("TonyStark", "r", stdin);

  int n, q;
  string a, b, c, t;
  vector<IsEqual> all;
  cin >> n >> a >> b >> c >> q >> t;

  all.push_back({a, t});
  all.push_back({b, t});
  all.push_back({c, t});
  all.push_back({a + b, t});
  all.push_back({b + c, t});
  all.push_back({c + a, t});
  all.push_back({a + (b + c), t});
  all.push_back({b + (c + a), t});
  all.push_back({c + (a + b), t});


  function <string()> solve = [&] () {
    bool ok = false;
    for (auto &x : all) {
      ok |= x.isEqual();
    }
    if (ok) {
      return "Yes";
    } else {
      return "No";
    }
  };

  cout << solve() << "\n";

  while (q--) {
    int l, r;
    string ch;
    cin >> l >> r >> ch;
    for (auto& x : all) {
      x.modify(l, r, ch[0]);
    }
    cout << solve() << "\n";
  }
}

# Verdict Execution time Memory Grader output
1 Correct 362 ms 2192 KB Output is correct
2 Correct 413 ms 2368 KB Output is correct
3 Correct 476 ms 2400 KB Output is correct
4 Correct 298 ms 2372 KB Output is correct
5 Correct 291 ms 2244 KB Output is correct
6 Correct 319 ms 2416 KB Output is correct
7 Correct 317 ms 2384 KB Output is correct
8 Correct 328 ms 2396 KB Output is correct
9 Correct 335 ms 2412 KB Output is correct
10 Correct 346 ms 2360 KB Output is correct
11 Correct 325 ms 2376 KB Output is correct
12 Correct 331 ms 2464 KB Output is correct
13 Correct 337 ms 2408 KB Output is correct
14 Correct 317 ms 2340 KB Output is correct
15 Correct 332 ms 2552 KB Output is correct
16 Correct 323 ms 2424 KB Output is correct
17 Correct 337 ms 2428 KB Output is correct
18 Correct 430 ms 2532 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 362 ms 2192 KB Output is correct
2 Correct 413 ms 2368 KB Output is correct
3 Correct 476 ms 2400 KB Output is correct
4 Correct 298 ms 2372 KB Output is correct
5 Correct 291 ms 2244 KB Output is correct
6 Correct 319 ms 2416 KB Output is correct
7 Correct 317 ms 2384 KB Output is correct
8 Correct 328 ms 2396 KB Output is correct
9 Correct 335 ms 2412 KB Output is correct
10 Correct 346 ms 2360 KB Output is correct
11 Correct 325 ms 2376 KB Output is correct
12 Correct 331 ms 2464 KB Output is correct
13 Correct 337 ms 2408 KB Output is correct
14 Correct 317 ms 2340 KB Output is correct
15 Correct 332 ms 2552 KB Output is correct
16 Correct 323 ms 2424 KB Output is correct
17 Correct 337 ms 2428 KB Output is correct
18 Correct 430 ms 2532 KB Output is correct
19 Correct 2074 ms 45124 KB Output is correct
20 Correct 1931 ms 44980 KB Output is correct
21 Correct 1096 ms 42320 KB Output is correct
22 Correct 1121 ms 38436 KB Output is correct
23 Correct 636 ms 5388 KB Output is correct
24 Correct 610 ms 5356 KB Output is correct
25 Correct 1147 ms 44940 KB Output is correct
26 Correct 1237 ms 44912 KB Output is correct
27 Correct 1417 ms 45180 KB Output is correct
28 Correct 1460 ms 45020 KB Output is correct
29 Correct 1360 ms 43860 KB Output is correct
30 Correct 715 ms 5444 KB Output is correct
31 Correct 1465 ms 44932 KB Output is correct
32 Correct 1331 ms 41172 KB Output is correct
33 Correct 649 ms 5308 KB Output is correct
34 Correct 1423 ms 45040 KB Output is correct
35 Correct 1020 ms 34284 KB Output is correct
36 Correct 620 ms 5444 KB Output is correct
37 Correct 613 ms 5352 KB Output is correct
38 Correct 1543 ms 44756 KB Output is correct
39 Correct 733 ms 45116 KB Output is correct
40 Correct 1052 ms 30788 KB Output is correct
41 Correct 2260 ms 45328 KB Output is correct
42 Correct 129 ms 44300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 362 ms 2192 KB Output is correct
2 Correct 413 ms 2368 KB Output is correct
3 Correct 476 ms 2400 KB Output is correct
4 Correct 298 ms 2372 KB Output is correct
5 Correct 291 ms 2244 KB Output is correct
6 Correct 319 ms 2416 KB Output is correct
7 Correct 317 ms 2384 KB Output is correct
8 Correct 328 ms 2396 KB Output is correct
9 Correct 335 ms 2412 KB Output is correct
10 Correct 346 ms 2360 KB Output is correct
11 Correct 325 ms 2376 KB Output is correct
12 Correct 331 ms 2464 KB Output is correct
13 Correct 337 ms 2408 KB Output is correct
14 Correct 317 ms 2340 KB Output is correct
15 Correct 332 ms 2552 KB Output is correct
16 Correct 323 ms 2424 KB Output is correct
17 Correct 337 ms 2428 KB Output is correct
18 Correct 430 ms 2532 KB Output is correct
19 Correct 393 ms 2256 KB Output is correct
20 Correct 479 ms 2260 KB Output is correct
21 Correct 320 ms 2372 KB Output is correct
22 Correct 273 ms 2136 KB Output is correct
23 Correct 320 ms 2484 KB Output is correct
24 Correct 314 ms 2368 KB Output is correct
25 Correct 353 ms 2400 KB Output is correct
26 Correct 296 ms 2324 KB Output is correct
27 Correct 323 ms 2412 KB Output is correct
28 Correct 284 ms 2208 KB Output is correct
29 Correct 335 ms 2392 KB Output is correct
30 Correct 284 ms 2268 KB Output is correct
31 Correct 327 ms 2432 KB Output is correct
32 Correct 317 ms 2328 KB Output is correct
33 Correct 323 ms 2444 KB Output is correct
34 Correct 286 ms 2180 KB Output is correct
35 Correct 314 ms 2420 KB Output is correct
36 Correct 327 ms 2428 KB Output is correct
37 Correct 327 ms 2372 KB Output is correct
38 Correct 320 ms 2404 KB Output is correct
39 Correct 318 ms 2648 KB Output is correct
40 Correct 325 ms 2472 KB Output is correct
41 Correct 319 ms 2736 KB Output is correct
42 Correct 329 ms 2516 KB Output is correct
43 Correct 304 ms 2304 KB Output is correct
44 Correct 324 ms 2340 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 362 ms 2192 KB Output is correct
2 Correct 413 ms 2368 KB Output is correct
3 Correct 476 ms 2400 KB Output is correct
4 Correct 298 ms 2372 KB Output is correct
5 Correct 291 ms 2244 KB Output is correct
6 Correct 319 ms 2416 KB Output is correct
7 Correct 317 ms 2384 KB Output is correct
8 Correct 328 ms 2396 KB Output is correct
9 Correct 335 ms 2412 KB Output is correct
10 Correct 346 ms 2360 KB Output is correct
11 Correct 325 ms 2376 KB Output is correct
12 Correct 331 ms 2464 KB Output is correct
13 Correct 337 ms 2408 KB Output is correct
14 Correct 317 ms 2340 KB Output is correct
15 Correct 332 ms 2552 KB Output is correct
16 Correct 323 ms 2424 KB Output is correct
17 Correct 337 ms 2428 KB Output is correct
18 Correct 430 ms 2532 KB Output is correct
19 Correct 2074 ms 45124 KB Output is correct
20 Correct 1931 ms 44980 KB Output is correct
21 Correct 1096 ms 42320 KB Output is correct
22 Correct 1121 ms 38436 KB Output is correct
23 Correct 636 ms 5388 KB Output is correct
24 Correct 610 ms 5356 KB Output is correct
25 Correct 1147 ms 44940 KB Output is correct
26 Correct 1237 ms 44912 KB Output is correct
27 Correct 1417 ms 45180 KB Output is correct
28 Correct 1460 ms 45020 KB Output is correct
29 Correct 1360 ms 43860 KB Output is correct
30 Correct 715 ms 5444 KB Output is correct
31 Correct 1465 ms 44932 KB Output is correct
32 Correct 1331 ms 41172 KB Output is correct
33 Correct 649 ms 5308 KB Output is correct
34 Correct 1423 ms 45040 KB Output is correct
35 Correct 1020 ms 34284 KB Output is correct
36 Correct 620 ms 5444 KB Output is correct
37 Correct 613 ms 5352 KB Output is correct
38 Correct 1543 ms 44756 KB Output is correct
39 Correct 733 ms 45116 KB Output is correct
40 Correct 1052 ms 30788 KB Output is correct
41 Correct 2260 ms 45328 KB Output is correct
42 Correct 129 ms 44300 KB Output is correct
43 Correct 393 ms 2256 KB Output is correct
44 Correct 479 ms 2260 KB Output is correct
45 Correct 320 ms 2372 KB Output is correct
46 Correct 273 ms 2136 KB Output is correct
47 Correct 320 ms 2484 KB Output is correct
48 Correct 314 ms 2368 KB Output is correct
49 Correct 353 ms 2400 KB Output is correct
50 Correct 296 ms 2324 KB Output is correct
51 Correct 323 ms 2412 KB Output is correct
52 Correct 284 ms 2208 KB Output is correct
53 Correct 335 ms 2392 KB Output is correct
54 Correct 284 ms 2268 KB Output is correct
55 Correct 327 ms 2432 KB Output is correct
56 Correct 317 ms 2328 KB Output is correct
57 Correct 323 ms 2444 KB Output is correct
58 Correct 286 ms 2180 KB Output is correct
59 Correct 314 ms 2420 KB Output is correct
60 Correct 327 ms 2428 KB Output is correct
61 Correct 327 ms 2372 KB Output is correct
62 Correct 320 ms 2404 KB Output is correct
63 Correct 318 ms 2648 KB Output is correct
64 Correct 325 ms 2472 KB Output is correct
65 Correct 319 ms 2736 KB Output is correct
66 Correct 329 ms 2516 KB Output is correct
67 Correct 304 ms 2304 KB Output is correct
68 Correct 324 ms 2340 KB Output is correct
69 Correct 1687 ms 38032 KB Output is correct
70 Correct 1843 ms 45064 KB Output is correct
71 Correct 623 ms 5448 KB Output is correct
72 Correct 630 ms 5460 KB Output is correct
73 Correct 623 ms 5440 KB Output is correct
74 Correct 1062 ms 37904 KB Output is correct
75 Correct 628 ms 5192 KB Output is correct
76 Correct 1268 ms 44984 KB Output is correct
77 Correct 1175 ms 38244 KB Output is correct
78 Correct 636 ms 5504 KB Output is correct
79 Correct 617 ms 5320 KB Output is correct
80 Correct 1127 ms 32700 KB Output is correct
81 Correct 628 ms 5216 KB Output is correct
82 Correct 1197 ms 44956 KB Output is correct
83 Correct 1182 ms 42320 KB Output is correct
84 Correct 638 ms 5320 KB Output is correct
85 Correct 656 ms 5344 KB Output is correct
86 Correct 1412 ms 34804 KB Output is correct
87 Correct 1459 ms 44996 KB Output is correct
88 Correct 758 ms 5584 KB Output is correct
89 Correct 1281 ms 39928 KB Output is correct
90 Correct 1418 ms 44944 KB Output is correct
91 Correct 746 ms 5356 KB Output is correct
92 Correct 1074 ms 34484 KB Output is correct
93 Correct 625 ms 5260 KB Output is correct
94 Correct 598 ms 5316 KB Output is correct
95 Correct 624 ms 5316 KB Output is correct
96 Correct 1547 ms 44724 KB Output is correct
97 Correct 715 ms 45020 KB Output is correct
98 Correct 1088 ms 30864 KB Output is correct
99 Correct 2217 ms 45196 KB Output is correct
100 Correct 134 ms 44428 KB Output is correct