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Submission #767502

# Submission time Handle Problem Language Result Execution time Memory
767502 2023-06-26T19:44:58 Z t6twotwo Digital Circuit (IOI22_circuit) C++17
61 / 100
 869 ms 13896 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++) {
            f[i] = mul(f[P[i]], tot[ch[P[i]][0] ^ ch[P[i]][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 1 ms 208 KB Output is correct
3 Correct 11 ms 208 KB Output is correct
4 Correct 11 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 11 ms 328 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 332 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 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 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 424 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 1 ms 208 KB Output is correct
3 Correct 11 ms 208 KB Output is correct
4 Correct 11 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 11 ms 328 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 332 KB Output is correct
9 Correct 0 ms 208 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 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 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 424 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 376 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 10 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 400 KB Output is correct
38 Correct 11 ms 404 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 1 ms 208 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 633 ms 5328 KB Output is correct
2 Correct 734 ms 10292 KB Output is correct
3 Correct 725 ms 10264 KB Output is correct
4 Correct 811 ms 10272 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 633 ms 5328 KB Output is correct
2 Correct 734 ms 10292 KB Output is correct
3 Correct 725 ms 10264 KB Output is correct
4 Correct 811 ms 10272 KB Output is correct
5 Correct 582 ms 5328 KB Output is correct
6 Correct 695 ms 10316 KB Output is correct
7 Correct 810 ms 10304 KB Output is correct
8 Correct 623 ms 10272 KB Output is correct
9 Correct 326 ms 592 KB Output is correct
10 Correct 846 ms 916 KB Output is correct
11 Correct 760 ms 896 KB Output is correct
12 Correct 644 ms 900 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 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 336 KB Output is correct
9 Correct 1 ms 336 KB Output is correct
10 Correct 1 ms 424 KB Output is correct
11 Correct 1 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 633 ms 5328 KB Output is correct
14 Correct 734 ms 10292 KB Output is correct
15 Correct 725 ms 10264 KB Output is correct
16 Correct 811 ms 10272 KB Output is correct
17 Correct 582 ms 5328 KB Output is correct
18 Correct 695 ms 10316 KB Output is correct
19 Correct 810 ms 10304 KB Output is correct
20 Correct 623 ms 10272 KB Output is correct
21 Correct 326 ms 592 KB Output is correct
22 Correct 846 ms 916 KB Output is correct
23 Correct 760 ms 896 KB Output is correct
24 Correct 644 ms 900 KB Output is correct
25 Correct 737 ms 13724 KB Output is correct
26 Correct 753 ms 13848 KB Output is correct
27 Correct 869 ms 13852 KB Output is correct
28 Correct 629 ms 13840 KB Output is correct
29 Correct 674 ms 13896 KB Output is correct
30 Correct 796 ms 13840 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 11 ms 208 KB Output is correct
4 Correct 11 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 11 ms 328 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 332 KB Output is correct
9 Correct 0 ms 208 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 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 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 424 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 376 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 10 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 400 KB Output is correct
38 Correct 11 ms 404 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 1 ms 208 KB Output is correct
43 Incorrect 486 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 1 ms 208 KB Output is correct
3 Correct 11 ms 208 KB Output is correct
4 Correct 11 ms 208 KB Output is correct
5 Correct 11 ms 208 KB Output is correct
6 Correct 11 ms 328 KB Output is correct
7 Correct 10 ms 208 KB Output is correct
8 Correct 10 ms 332 KB Output is correct
9 Correct 0 ms 208 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 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 336 KB Output is correct
17 Correct 1 ms 336 KB Output is correct
18 Correct 1 ms 424 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 376 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 10 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 400 KB Output is correct
38 Correct 11 ms 404 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 1 ms 208 KB Output is correct
43 Correct 633 ms 5328 KB Output is correct
44 Correct 734 ms 10292 KB Output is correct
45 Correct 725 ms 10264 KB Output is correct
46 Correct 811 ms 10272 KB Output is correct
47 Correct 582 ms 5328 KB Output is correct
48 Correct 695 ms 10316 KB Output is correct
49 Correct 810 ms 10304 KB Output is correct
50 Correct 623 ms 10272 KB Output is correct
51 Correct 326 ms 592 KB Output is correct
52 Correct 846 ms 916 KB Output is correct
53 Correct 760 ms 896 KB Output is correct
54 Correct 644 ms 900 KB Output is correct
55 Correct 737 ms 13724 KB Output is correct
56 Correct 753 ms 13848 KB Output is correct
57 Correct 869 ms 13852 KB Output is correct
58 Correct 629 ms 13840 KB Output is correct
59 Correct 674 ms 13896 KB Output is correct
60 Correct 796 ms 13840 KB Output is correct
61 Incorrect 486 ms 464 KB 1st lines differ - on the 1st token, expected: '196037954', found: '0'
62 Halted 0 ms 0 KB -