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Submission #767487

# Submission time Handle Problem Language Result Execution time Memory
767487 2023-06-26T19:39:22 Z t6twotwo Digital Circuit (IOI22_circuit) C++17
34 / 100
 943 ms 13724 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
constexpr int mod = 1000002022;
int add(int x, int y) {
    int z = x + y;
    if (z >= mod) {
        z -= mod;
    }
    return z;
}
int sub(int x, int y) {
    int z = x - y;
    if (z < 0) {
        z += mod;
    }
    return z;
}
int mul(int x, int y) {
    return (ll)x * y % mod;
}
int N, M, K;
vector<int> P, A, tot, lazy, S, T;
void apply(int p, int v) {
    if (v) {
        S[p] = sub(T[p], S[p]);
        lazy[p] ^= 1;
    }
}
void push(int p) {
    apply(p * 2 + 1, lazy[p]);
    apply(p * 2 + 2, lazy[p]);
    lazy[p] = 0;
}
void pull(int p) {
    S[p] = add(S[p * 2 + 1], S[p * 2 + 2]);
}
void update(int p, int l, int r, int L, int R) {
    if (R <= l || r <= L) {
        return;
    }
    if (L <= l && r <= R) {
        apply(p, 1);
        return;
    }
    int m = (l + r + 1) / 2;
    push(p);
    update(p * 2 + 1, l, m, L, R);
    update(p * 2 + 2, m, r, L, R);
    pull(p);
}
int query(int p, int l, int r, int L, int R) {
    if (R <= l || r <= L) {
        return 0;
    }
    if (L <= l && r <= R) {
        return S[p];
    }
    int m = (l + r + 1) / 2;
    push(p);
    return add(query(p * 2 + 1, l, m, L, R), query(p * 2 + 2, m, r, L, R));
}
void init(int n, int m, vector<int> p, vector<int> a) {
    N = n, M = m;
    P = p, A = a;
    vector<vector<int>> ch(N);
    for (int i = 1; i < N + M; i++) {
        ch[P[i]].push_back(i);
    }
    bool bintree = 1;
    for (int i = 0; i < N; i++) {
        if (ch[i].size() != 2) {
            bintree = 0;
        }
    }
    tot.resize(N + M);
    for (int i = N; i < N + M; i++) {
        tot[i] = 1;
    }
    for (int i = N - 1; i >= 0; i--) {
        tot[i] = ch[i].size();
        for (int j : ch[i]) {
            tot[i] = mul(tot[i], tot[j]);
        }
    }
    if (bintree) {
        vector<int> f(N + M);
        f[0] = 1;
        for (int i = 1; i < N + M; i++) {
            int p = (i - 1) / 2;
            f[i] = mul(f[p], tot[ch[p][0] ^ ch[p][1] ^ i]);
        }
        K = 2 << __lg(M);
        S.resize(2 * K - 1);
        T.resize(2 * K - 1);
        lazy.resize(2 * K - 1);
        for (int i = 0; i < M; i++) {
            if (A[i] == 1) {
                S[i + K - 1] = f[i + N];
            }
            T[i + K - 1] = f[i + N];
        }
        for (int i = K - 2; i >= 0; i--) {
            S[i] = add(S[i * 2 + 1], S[i * 2 + 2]);
            T[i] = add(T[i * 2 + 1], T[i * 2 + 2]);
        }
    }
}
int count_ways(int L, int R) {
    if (N <= 1000 && M <= 1000) {
        vector dp(N, vector{1});
        vector<int> on(N + M), off(N + M);
        for (int i = L; i <= R; i++) {
            A[i - N] ^= 1;
        }
        for (int i = N + M - 1; i >= 0; i--) {
            if (i >= N) {
                on[i] = A[i - N];
                off[i] = tot[i] - on[i];
            } else {
                int sum = 0;
                for (int j = dp[i].size() - 1; j; j--) {
                    sum = add(sum, dp[i][j]);
                    on[i] = add(on[i], sum);
                }
                off[i] = sub(tot[i], on[i]);
            }
            if (i) {
                int K = dp[P[i]].size();
                dp[P[i]].resize(K + 1);
                for (int j = K; j; j--) {
                    dp[P[i]][j] = add(mul(dp[P[i]][j], off[i]), mul(dp[P[i]][j - 1], on[i]));
                }
                dp[P[i]][0] = mul(dp[P[i]][0], off[i]);
            }
        }
        return on[0];
    }
    update(0, 0, K, L - N, R - N + 1);
    return query(0, 0, K, 0, M);
}

Subtask #1
2.0 / 2.0

# 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 10 ms 328 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 13 ms 208 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 12 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 336 KB Output is correct
8 Correct 1 ms 372 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #3
9.0 / 9.0

# 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 10 ms 328 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 13 ms 208 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 12 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 1 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 1 ms 336 KB Output is correct
16 Correct 1 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 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 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 13 ms 208 KB Output is correct
30 Correct 11 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 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 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 13 ms 464 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 356 KB Output is correct
42 Correct 1 ms 208 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 326 ms 5280 KB Output is correct
2 Correct 610 ms 10308 KB Output is correct
3 Correct 804 ms 10320 KB Output is correct
4 Correct 599 ms 10288 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 326 ms 5280 KB Output is correct
2 Correct 610 ms 10308 KB Output is correct
3 Correct 804 ms 10320 KB Output is correct
4 Correct 599 ms 10288 KB Output is correct
5 Correct 618 ms 5328 KB Output is correct
6 Correct 943 ms 10284 KB Output is correct
7 Correct 632 ms 10288 KB Output is correct
8 Correct 644 ms 10296 KB Output is correct
9 Correct 398 ms 592 KB Output is correct
10 Correct 810 ms 904 KB Output is correct
11 Correct 618 ms 896 KB Output is correct
12 Correct 721 ms 900 KB Output is correct

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 336 KB Output is correct
8 Correct 1 ms 372 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 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 326 ms 5280 KB Output is correct
14 Correct 610 ms 10308 KB Output is correct
15 Correct 804 ms 10320 KB Output is correct
16 Correct 599 ms 10288 KB Output is correct
17 Correct 618 ms 5328 KB Output is correct
18 Correct 943 ms 10284 KB Output is correct
19 Correct 632 ms 10288 KB Output is correct
20 Correct 644 ms 10296 KB Output is correct
21 Correct 398 ms 592 KB Output is correct
22 Correct 810 ms 904 KB Output is correct
23 Correct 618 ms 896 KB Output is correct
24 Correct 721 ms 900 KB Output is correct
25 Incorrect 642 ms 13724 KB 1st lines differ - on the 1st token, expected: '732332002', found: '927170532'
26 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# 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 10 ms 328 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 13 ms 208 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 12 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 1 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 1 ms 336 KB Output is correct
16 Correct 1 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 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 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 13 ms 208 KB Output is correct
30 Correct 11 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 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 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 13 ms 464 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 356 KB Output is correct
42 Correct 1 ms 208 KB Output is correct
43 Incorrect 578 ms 464 KB 1st lines differ - on the 1st token, expected: '196037954', found: '0'
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# 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 10 ms 328 KB Output is correct
4 Correct 10 ms 208 KB Output is correct
5 Correct 13 ms 208 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 12 ms 208 KB Output is correct
8 Correct 10 ms 208 KB Output is correct
9 Correct 1 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 1 ms 336 KB Output is correct
16 Correct 1 ms 372 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 336 KB Output is correct
19 Correct 1 ms 336 KB Output is correct
20 Correct 1 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 1 ms 336 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 1 ms 336 KB Output is correct
26 Correct 1 ms 336 KB Output is correct
27 Correct 1 ms 336 KB Output is correct
28 Correct 1 ms 336 KB Output is correct
29 Correct 13 ms 208 KB Output is correct
30 Correct 11 ms 208 KB Output is correct
31 Correct 1 ms 336 KB Output is correct
32 Correct 1 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 3 ms 208 KB Output is correct
36 Correct 1 ms 336 KB Output is correct
37 Correct 11 ms 336 KB Output is correct
38 Correct 13 ms 464 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 356 KB Output is correct
42 Correct 1 ms 208 KB Output is correct
43 Correct 326 ms 5280 KB Output is correct
44 Correct 610 ms 10308 KB Output is correct
45 Correct 804 ms 10320 KB Output is correct
46 Correct 599 ms 10288 KB Output is correct
47 Correct 618 ms 5328 KB Output is correct
48 Correct 943 ms 10284 KB Output is correct
49 Correct 632 ms 10288 KB Output is correct
50 Correct 644 ms 10296 KB Output is correct
51 Correct 398 ms 592 KB Output is correct
52 Correct 810 ms 904 KB Output is correct
53 Correct 618 ms 896 KB Output is correct
54 Correct 721 ms 900 KB Output is correct
55 Incorrect 642 ms 13724 KB 1st lines differ - on the 1st token, expected: '732332002', found: '927170532'
56 Halted 0 ms 0 KB -