Submission #635631

# Submission time Handle Problem Language Result Execution time Memory
635631 2022-08-26T14:07:13 Z ruhanhabib39 Digital Circuit (IOI22_circuit) C++17
34 / 100
923 ms 16796 KB
#include "circuit.h"

#include <vector>
#include <algorithm>
#include <iostream>
#include <numeric>

namespace ruhan {
   using namespace std;

   const long long MOD = 1e9 + 2022;

   int N, M;
   vector<int> P, A;

   vector<vector<int>> G;

   vector<long long> sub_product;
   vector<int> c;

   long long multiplier;

   struct SegTree {
      vector<int> prop, tree;

      void init () {
         prop.resize(4 * M);
         tree.resize(4 * M);

         build(1, 0, M - 1);
      }

      void build (int cn, int b, int e) {
         if (b == e) {
            tree[cn] = A[b];
            return;
         }

         int m = (b + e) / 2;
         build (2 * cn, b, m);
         build (2 * cn + 1, m + 1, e);

         tree[cn] = tree[2*cn] + tree[2*cn+1];
      }

      void update (int l, int r) {
         update(1, 0, M - 1, l, r, 0);
      }

      void update (int cn, int b, int e, int l, int r, int px) {
         if (r < b || l > e) {
            if (px) {
               prop[cn] ^= 1;
               tree[cn] = e - b + 1 - tree[cn];
            }
            return;
         }

         if (l <= b && e <= r) {
            //cerr << b << " " << e << " " << l << " " << r << " " << px << "\n";
            if (!px) {
               prop[cn] ^= 1;
               tree[cn] = e - b + 1 - tree[cn];
            }
            return;
         }

         px ^= prop[cn];
         prop[cn] = 0;
         int m = (b + e) / 2;
         update(2 * cn, b, m, l, r, px);
         update(2 * cn + 1, m + 1, e, l, r, px);

         tree[cn] = tree[2*cn] + tree[2*cn+1];
      }

      int total() const {
         return tree[1];
      }

   } seg_tree;

   int Q = 0;

   void init45 () {
      seg_tree.init();

      auto ss = vector<long long>(N + M, 1LL);
      for (int u = N - 1; u >= 0; u--) {
         int v = 2 * u + 1;
         ss[u] = ss[v] * sub_product[u] % MOD;
      }

      multiplier = ss[1];
      //cerr << "multiplier = " << multiplier << "\n";
      //cerr << "total = " << seg_tree.total() << "\n";
   }


   void init  (int N_, int M_, vector<int> P_, vector<int> A_) {
      N = N_; M = M_; P = P_; A = A_;

      //cerr << "N = " << N << "\n";
      //cerr << "M = " << M << "\n";
      //cerr << "P = ";
      //for (int x : P) //cerr << x << " ";
      //cerr << "\n";
      //cerr << "A = ";
      //for (int x : A) //cerr << x << " ";
      //cerr << "\n";

      c.resize(N);
      G.resize(N);
      for (int i = N + M - 1; i > 0; i--) {
         ////cerr << i << " " << P[i] << "\n";
         c[P[i]]++;
         G[P[i]].push_back(i);
      }

      sub_product = vector<long long>(N + M, 1);
      for (int i = N - 1; i > 0; i--) {
         sub_product[i] *= c[i];
         sub_product[i] %= MOD;

         sub_product[P[i]] *= sub_product[i];
         sub_product[P[i]] %= MOD;
      }

      init45();
   }


   int subtask123 (int L, int R) {
      ////cerr << "\n\ncpunt_ways(" << L << ", " << R << ")\n";
      for (int i = L - N; i <= R - N; i++) {
         A[i] ^= 1;
      }

      vector<long long> X(N + M, 0LL);
      copy(A.begin(), A.end(), X.begin() + N);

      for (int u = N - 1; u >= 0; u--) {
         vector<vector<long long>> dp(c[u] + 1, vector<long long>(c[u] + 1, 0));

         dp[c[u]][0] = 1;
         for (int i = c[u] - 1; i >= 0; i--) {
            int v = G[u][i];

            long long y = (sub_product[v] + MOD - X[v]) % MOD;

            dp[i][0] = y * dp[i+1][0] % MOD;
            for (int p = 1; p <= c[u]; p++) {
               dp[i][p] = X[v] * dp[i+1][p - 1] + y * dp[i+1][p];
               dp[i][p] %= MOD;
            }
         }

         X[u] = 0;
         for (int p = 1; p <= c[u]; p++) {
            X[u] += p * dp[0][p] % MOD;
            X[u] %= MOD;
         }
         ////cerr << "X[" << u << "] = " << X[u] << "\n";
      }

      return X[0];
   }

   int subtask45 (int L, int R) {
      //cerr << "\n\ncount_ways(" << L << ", " << R << ")\n";
      seg_tree.update(L - N, R - N);
      return (multiplier *  seg_tree.total()) % MOD;
   }
};

void init(int N, int M, std::vector<int> P, std::vector<int> A) {
   ruhan::init(N, M, P, A);
}

int count_ways(int L, int R) {
   //return ruhan::subtask123(L, R);
   ruhan::Q++;

   if (ruhan::N <= 1000 && ruhan::M <= 1000 && ruhan::Q <= 5) return ruhan::subtask123(L, R);
   else return ruhan::subtask45(L, R);
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 26 ms 7848 KB Output is correct
4 Correct 26 ms 8288 KB Output is correct
5 Correct 29 ms 8284 KB Output is correct
6 Correct 26 ms 8288 KB Output is correct
7 Correct 27 ms 8292 KB Output is correct
8 Correct 24 ms 8300 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 2 ms 464 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 2 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 26 ms 7848 KB Output is correct
4 Correct 26 ms 8288 KB Output is correct
5 Correct 29 ms 8284 KB Output is correct
6 Correct 26 ms 8288 KB Output is correct
7 Correct 27 ms 8292 KB Output is correct
8 Correct 24 ms 8300 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 464 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 26 ms 8308 KB Output is correct
30 Correct 28 ms 8308 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 5 ms 816 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 25 ms 8376 KB Output is correct
38 Correct 32 ms 8384 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 2 ms 336 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 606 ms 5840 KB Output is correct
2 Correct 849 ms 11344 KB Output is correct
3 Correct 886 ms 11336 KB Output is correct
4 Correct 914 ms 11420 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 606 ms 5840 KB Output is correct
2 Correct 849 ms 11344 KB Output is correct
3 Correct 886 ms 11336 KB Output is correct
4 Correct 914 ms 11420 KB Output is correct
5 Correct 774 ms 5768 KB Output is correct
6 Correct 923 ms 11292 KB Output is correct
7 Correct 761 ms 11296 KB Output is correct
8 Correct 787 ms 11348 KB Output is correct
9 Correct 424 ms 620 KB Output is correct
10 Correct 807 ms 976 KB Output is correct
11 Correct 853 ms 976 KB Output is correct
12 Correct 906 ms 976 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 336 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 2 ms 464 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 2 ms 336 KB Output is correct
13 Correct 606 ms 5840 KB Output is correct
14 Correct 849 ms 11344 KB Output is correct
15 Correct 886 ms 11336 KB Output is correct
16 Correct 914 ms 11420 KB Output is correct
17 Correct 774 ms 5768 KB Output is correct
18 Correct 923 ms 11292 KB Output is correct
19 Correct 761 ms 11296 KB Output is correct
20 Correct 787 ms 11348 KB Output is correct
21 Correct 424 ms 620 KB Output is correct
22 Correct 807 ms 976 KB Output is correct
23 Correct 853 ms 976 KB Output is correct
24 Correct 906 ms 976 KB Output is correct
25 Incorrect 710 ms 16796 KB 1st lines differ - on the 1st token, expected: '732332002', found: '338961000'
26 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 26 ms 7848 KB Output is correct
4 Correct 26 ms 8288 KB Output is correct
5 Correct 29 ms 8284 KB Output is correct
6 Correct 26 ms 8288 KB Output is correct
7 Correct 27 ms 8292 KB Output is correct
8 Correct 24 ms 8300 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 464 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 26 ms 8308 KB Output is correct
30 Correct 28 ms 8308 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 5 ms 816 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 25 ms 8376 KB Output is correct
38 Correct 32 ms 8384 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 2 ms 336 KB Output is correct
43 Incorrect 464 ms 764 KB 1st lines differ - on the 1st token, expected: '196037954', found: '800383342'
44 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 26 ms 7848 KB Output is correct
4 Correct 26 ms 8288 KB Output is correct
5 Correct 29 ms 8284 KB Output is correct
6 Correct 26 ms 8288 KB Output is correct
7 Correct 27 ms 8292 KB Output is correct
8 Correct 24 ms 8300 KB Output is correct
9 Correct 0 ms 208 KB Output is correct
10 Correct 0 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 1 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 464 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 2 ms 336 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 1 ms 336 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 2 ms 336 KB Output is correct
24 Correct 2 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 2 ms 336 KB Output is correct
27 Correct 2 ms 336 KB Output is correct
28 Correct 2 ms 336 KB Output is correct
29 Correct 26 ms 8308 KB Output is correct
30 Correct 28 ms 8308 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 2 ms 336 KB Output is correct
33 Correct 1 ms 336 KB Output is correct
34 Correct 1 ms 336 KB Output is correct
35 Correct 5 ms 816 KB Output is correct
36 Correct 1 ms 464 KB Output is correct
37 Correct 25 ms 8376 KB Output is correct
38 Correct 32 ms 8384 KB Output is correct
39 Correct 1 ms 336 KB Output is correct
40 Correct 1 ms 336 KB Output is correct
41 Correct 1 ms 336 KB Output is correct
42 Correct 2 ms 336 KB Output is correct
43 Correct 606 ms 5840 KB Output is correct
44 Correct 849 ms 11344 KB Output is correct
45 Correct 886 ms 11336 KB Output is correct
46 Correct 914 ms 11420 KB Output is correct
47 Correct 774 ms 5768 KB Output is correct
48 Correct 923 ms 11292 KB Output is correct
49 Correct 761 ms 11296 KB Output is correct
50 Correct 787 ms 11348 KB Output is correct
51 Correct 424 ms 620 KB Output is correct
52 Correct 807 ms 976 KB Output is correct
53 Correct 853 ms 976 KB Output is correct
54 Correct 906 ms 976 KB Output is correct
55 Incorrect 710 ms 16796 KB 1st lines differ - on the 1st token, expected: '732332002', found: '338961000'
56 Halted 0 ms 0 KB -