Submission #684446

# Submission time Handle Problem Language Result Execution time Memory
684446 2023-01-21T09:18:21 Z peijar Crossing (JOI21_crossing) C++17
100 / 100
417 ms 50364 KB
#include <bits/stdc++.h>
#define int long long
using namespace std;

string to_string(string s) { return s; }
template <typename T> string to_string(T v) {
  bool first = true;
  string res = "[";
  for (const auto &x : v) {
    if (!first)
      res += ", ";
    first = false;
    res += to_string(x);
  }
  res += "]";
  return res;
}

void dbg_out() { cout << endl; }
template <typename Head, typename... Tail> void dbg_out(Head H, Tail... T) {
  cout << ' ' << to_string(H);
  dbg_out(T...);
}

#ifdef DEBUG
#define dbg(...) cout << "(" << #__VA_ARGS__ << "):", dbg_out(__VA_ARGS__)
#else
#define dbg(...)
#endif

const int MOD1 = 1e9 + 7, MOD2 = 1e9 + 9;

using H = pair<int, int>;

H add(H a, H b) {
  a.first += b.first;
  if (a.first >= MOD1)
    a.first -= MOD1;
  a.second += b.second;
  if (a.second >= MOD2)
    a.second -= MOD2;
  return a;
}

H sub(H a, H b) {
  a.first -= b.first;
  a.second -= b.second;
  if (a.first < 0)
    a.first += MOD1;
  if (a.second < 0)
    a.second += MOD2;
  return a;
}

H mult(H a, H b) {
  return pair(a.first * b.first % MOD1, a.second * b.second % MOD2);
}

const int MAXN = 1e6;

const int BASE = 315;

H pows[MAXN];
int iDeb[MAXN], iFin[MAXN];
H sumPows[MAXN], rangeHash[MAXN];
int lazy[MAXN];

void pull(int node) {
  sumPows[node] = add(sumPows[2 * node], sumPows[2 * node + 1]);
  rangeHash[node] = add(rangeHash[2 * node], rangeHash[2 * node + 1]);
}

void build(int node, int l, int r) {
  iDeb[node] = l, iFin[node] = r;
  lazy[node] = -1;

  if (l == r) {
    sumPows[node] = pows[l];
    return;
  }
  int m = (l + r) / 2;
  build(2 * node, l, m);
  build(2 * node + 1, m + 1, r);
  pull(node);
}

void push(int node) {
  if (lazy[node] == -1)
    return;
  int x = lazy[node];
  lazy[node] = -1;

  rangeHash[node] = mult(pair(x, x), sumPows[node]);
  if (iDeb[node] < iFin[node])
    lazy[2 * node] = lazy[2 * node + 1] = x;
}

void rangeSet(int node, int l, int r, int x) {
  push(node);
  if (l > iFin[node] or r < iDeb[node])
    return;
  if (l <= iDeb[node] and iFin[node] <= r) {
    lazy[node] = x;
    push(node);
    return;
  }

  rangeSet(2 * node, l, r, x);
  rangeSet(2 * node + 1, l, r, x);
  pull(node);
}

int charToint(char c) {
  if (c == 'J')
    return 0;
  if (c == 'O')
    return 1;
  return 2;
}

signed main(void) {
  ios_base::sync_with_stdio(false);
  cin.tie(0);

  pows[0] = pair(1, 1);
  for (int i = 1; i < MAXN; ++i)
    pows[i] = mult(pows[i - 1], pair(BASE, BASE));

  int N;
  cin >> N;
  string s1, s2, s3;
  cin >> s1 >> s2 >> s3;

  build(1, 0, N - 1);
  set<H> goodHash;

  for (int n1 = 0; n1 < 3; ++n1)
    for (int n2 = 0; n2 < 3; ++n2)
      for (int n3 = 0; n3 < 3; ++n3)
        if ((n1 + n2 + n3) % 3 == 1) {
          H h(0, 0);
          for (int i = 0; i < N; ++i) {
            int x = (n1 * charToint(s1[i]) + n2 * charToint(s2[i]) +
                     n3 * charToint(s3[i])) %
                    3;
            h = add(h, mult(pair(x, x), pows[i]));
          }
          goodHash.insert(h);
        }

  int Q;
  cin >> Q;
  string T0;
  cin >> T0;
  for (int i = 0; i < N; ++i)
    rangeSet(1, i, i, charToint(T0[i]));

  cout << (goodHash.count(rangeHash[1]) ? "Yes" : "No") << '\n';

  for (int i = 0; i < Q; ++i) {
    int L, R;
    char c;
    cin >> L >> R >> c;
    rangeSet(1, L - 1, R - 1, charToint(c));
    cout << (goodHash.count(rangeHash[1]) ? "Yes" : "No") << '\n';
  }
}
# Verdict Execution time Memory Grader output
1 Correct 82 ms 16912 KB Output is correct
2 Correct 91 ms 16984 KB Output is correct
3 Correct 88 ms 16992 KB Output is correct
4 Correct 77 ms 16980 KB Output is correct
5 Correct 78 ms 16856 KB Output is correct
6 Correct 80 ms 16912 KB Output is correct
7 Correct 81 ms 16884 KB Output is correct
8 Correct 81 ms 16972 KB Output is correct
9 Correct 85 ms 16972 KB Output is correct
10 Correct 81 ms 16888 KB Output is correct
11 Correct 86 ms 16972 KB Output is correct
12 Correct 95 ms 16968 KB Output is correct
13 Correct 84 ms 16984 KB Output is correct
14 Correct 80 ms 16920 KB Output is correct
15 Correct 83 ms 16992 KB Output is correct
16 Correct 79 ms 16972 KB Output is correct
17 Correct 88 ms 16980 KB Output is correct
18 Correct 88 ms 16956 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 16912 KB Output is correct
2 Correct 91 ms 16984 KB Output is correct
3 Correct 88 ms 16992 KB Output is correct
4 Correct 77 ms 16980 KB Output is correct
5 Correct 78 ms 16856 KB Output is correct
6 Correct 80 ms 16912 KB Output is correct
7 Correct 81 ms 16884 KB Output is correct
8 Correct 81 ms 16972 KB Output is correct
9 Correct 85 ms 16972 KB Output is correct
10 Correct 81 ms 16888 KB Output is correct
11 Correct 86 ms 16972 KB Output is correct
12 Correct 95 ms 16968 KB Output is correct
13 Correct 84 ms 16984 KB Output is correct
14 Correct 80 ms 16920 KB Output is correct
15 Correct 83 ms 16992 KB Output is correct
16 Correct 79 ms 16972 KB Output is correct
17 Correct 88 ms 16980 KB Output is correct
18 Correct 88 ms 16956 KB Output is correct
19 Correct 374 ms 46680 KB Output is correct
20 Correct 333 ms 46728 KB Output is correct
21 Correct 315 ms 46572 KB Output is correct
22 Correct 274 ms 49428 KB Output is correct
23 Correct 124 ms 20724 KB Output is correct
24 Correct 159 ms 20720 KB Output is correct
25 Correct 303 ms 49920 KB Output is correct
26 Correct 333 ms 49924 KB Output is correct
27 Correct 310 ms 49912 KB Output is correct
28 Correct 355 ms 49992 KB Output is correct
29 Correct 302 ms 49908 KB Output is correct
30 Correct 134 ms 20724 KB Output is correct
31 Correct 310 ms 49920 KB Output is correct
32 Correct 301 ms 49632 KB Output is correct
33 Correct 127 ms 20760 KB Output is correct
34 Correct 325 ms 49896 KB Output is correct
35 Correct 258 ms 49148 KB Output is correct
36 Correct 126 ms 20712 KB Output is correct
37 Correct 128 ms 20740 KB Output is correct
38 Correct 279 ms 49696 KB Output is correct
39 Correct 207 ms 49964 KB Output is correct
40 Correct 243 ms 34852 KB Output is correct
41 Correct 402 ms 50364 KB Output is correct
42 Correct 131 ms 49328 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 16912 KB Output is correct
2 Correct 91 ms 16984 KB Output is correct
3 Correct 88 ms 16992 KB Output is correct
4 Correct 77 ms 16980 KB Output is correct
5 Correct 78 ms 16856 KB Output is correct
6 Correct 80 ms 16912 KB Output is correct
7 Correct 81 ms 16884 KB Output is correct
8 Correct 81 ms 16972 KB Output is correct
9 Correct 85 ms 16972 KB Output is correct
10 Correct 81 ms 16888 KB Output is correct
11 Correct 86 ms 16972 KB Output is correct
12 Correct 95 ms 16968 KB Output is correct
13 Correct 84 ms 16984 KB Output is correct
14 Correct 80 ms 16920 KB Output is correct
15 Correct 83 ms 16992 KB Output is correct
16 Correct 79 ms 16972 KB Output is correct
17 Correct 88 ms 16980 KB Output is correct
18 Correct 88 ms 16956 KB Output is correct
19 Correct 88 ms 16844 KB Output is correct
20 Correct 89 ms 16904 KB Output is correct
21 Correct 83 ms 16984 KB Output is correct
22 Correct 74 ms 16944 KB Output is correct
23 Correct 82 ms 16884 KB Output is correct
24 Correct 79 ms 16972 KB Output is correct
25 Correct 84 ms 16980 KB Output is correct
26 Correct 77 ms 16916 KB Output is correct
27 Correct 82 ms 16988 KB Output is correct
28 Correct 77 ms 16924 KB Output is correct
29 Correct 86 ms 16884 KB Output is correct
30 Correct 78 ms 16836 KB Output is correct
31 Correct 89 ms 16996 KB Output is correct
32 Correct 83 ms 16928 KB Output is correct
33 Correct 86 ms 17028 KB Output is correct
34 Correct 76 ms 16848 KB Output is correct
35 Correct 84 ms 16952 KB Output is correct
36 Correct 84 ms 16988 KB Output is correct
37 Correct 91 ms 16960 KB Output is correct
38 Correct 84 ms 17008 KB Output is correct
39 Correct 82 ms 16920 KB Output is correct
40 Correct 85 ms 16940 KB Output is correct
41 Correct 85 ms 17048 KB Output is correct
42 Correct 84 ms 16976 KB Output is correct
43 Correct 79 ms 16964 KB Output is correct
44 Correct 85 ms 16960 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 82 ms 16912 KB Output is correct
2 Correct 91 ms 16984 KB Output is correct
3 Correct 88 ms 16992 KB Output is correct
4 Correct 77 ms 16980 KB Output is correct
5 Correct 78 ms 16856 KB Output is correct
6 Correct 80 ms 16912 KB Output is correct
7 Correct 81 ms 16884 KB Output is correct
8 Correct 81 ms 16972 KB Output is correct
9 Correct 85 ms 16972 KB Output is correct
10 Correct 81 ms 16888 KB Output is correct
11 Correct 86 ms 16972 KB Output is correct
12 Correct 95 ms 16968 KB Output is correct
13 Correct 84 ms 16984 KB Output is correct
14 Correct 80 ms 16920 KB Output is correct
15 Correct 83 ms 16992 KB Output is correct
16 Correct 79 ms 16972 KB Output is correct
17 Correct 88 ms 16980 KB Output is correct
18 Correct 88 ms 16956 KB Output is correct
19 Correct 374 ms 46680 KB Output is correct
20 Correct 333 ms 46728 KB Output is correct
21 Correct 315 ms 46572 KB Output is correct
22 Correct 274 ms 49428 KB Output is correct
23 Correct 124 ms 20724 KB Output is correct
24 Correct 159 ms 20720 KB Output is correct
25 Correct 303 ms 49920 KB Output is correct
26 Correct 333 ms 49924 KB Output is correct
27 Correct 310 ms 49912 KB Output is correct
28 Correct 355 ms 49992 KB Output is correct
29 Correct 302 ms 49908 KB Output is correct
30 Correct 134 ms 20724 KB Output is correct
31 Correct 310 ms 49920 KB Output is correct
32 Correct 301 ms 49632 KB Output is correct
33 Correct 127 ms 20760 KB Output is correct
34 Correct 325 ms 49896 KB Output is correct
35 Correct 258 ms 49148 KB Output is correct
36 Correct 126 ms 20712 KB Output is correct
37 Correct 128 ms 20740 KB Output is correct
38 Correct 279 ms 49696 KB Output is correct
39 Correct 207 ms 49964 KB Output is correct
40 Correct 243 ms 34852 KB Output is correct
41 Correct 402 ms 50364 KB Output is correct
42 Correct 131 ms 49328 KB Output is correct
43 Correct 88 ms 16844 KB Output is correct
44 Correct 89 ms 16904 KB Output is correct
45 Correct 83 ms 16984 KB Output is correct
46 Correct 74 ms 16944 KB Output is correct
47 Correct 82 ms 16884 KB Output is correct
48 Correct 79 ms 16972 KB Output is correct
49 Correct 84 ms 16980 KB Output is correct
50 Correct 77 ms 16916 KB Output is correct
51 Correct 82 ms 16988 KB Output is correct
52 Correct 77 ms 16924 KB Output is correct
53 Correct 86 ms 16884 KB Output is correct
54 Correct 78 ms 16836 KB Output is correct
55 Correct 89 ms 16996 KB Output is correct
56 Correct 83 ms 16928 KB Output is correct
57 Correct 86 ms 17028 KB Output is correct
58 Correct 76 ms 16848 KB Output is correct
59 Correct 84 ms 16952 KB Output is correct
60 Correct 84 ms 16988 KB Output is correct
61 Correct 91 ms 16960 KB Output is correct
62 Correct 84 ms 17008 KB Output is correct
63 Correct 82 ms 16920 KB Output is correct
64 Correct 85 ms 16940 KB Output is correct
65 Correct 85 ms 17048 KB Output is correct
66 Correct 84 ms 16976 KB Output is correct
67 Correct 79 ms 16964 KB Output is correct
68 Correct 85 ms 16960 KB Output is correct
69 Correct 344 ms 49420 KB Output is correct
70 Correct 328 ms 49828 KB Output is correct
71 Correct 126 ms 20716 KB Output is correct
72 Correct 126 ms 20812 KB Output is correct
73 Correct 127 ms 20812 KB Output is correct
74 Correct 266 ms 49268 KB Output is correct
75 Correct 130 ms 20792 KB Output is correct
76 Correct 312 ms 49940 KB Output is correct
77 Correct 286 ms 49584 KB Output is correct
78 Correct 130 ms 20836 KB Output is correct
79 Correct 129 ms 20812 KB Output is correct
80 Correct 266 ms 49160 KB Output is correct
81 Correct 125 ms 20700 KB Output is correct
82 Correct 303 ms 49912 KB Output is correct
83 Correct 307 ms 49812 KB Output is correct
84 Correct 131 ms 20796 KB Output is correct
85 Correct 141 ms 20772 KB Output is correct
86 Correct 289 ms 49216 KB Output is correct
87 Correct 324 ms 49936 KB Output is correct
88 Correct 144 ms 20844 KB Output is correct
89 Correct 288 ms 49612 KB Output is correct
90 Correct 322 ms 49820 KB Output is correct
91 Correct 139 ms 20716 KB Output is correct
92 Correct 272 ms 49244 KB Output is correct
93 Correct 126 ms 20724 KB Output is correct
94 Correct 128 ms 20756 KB Output is correct
95 Correct 127 ms 20700 KB Output is correct
96 Correct 291 ms 49796 KB Output is correct
97 Correct 208 ms 49944 KB Output is correct
98 Correct 246 ms 34868 KB Output is correct
99 Correct 417 ms 50244 KB Output is correct
100 Correct 135 ms 49324 KB Output is correct