Submission #684526

# Submission time Handle Problem Language Result Execution time Memory
684526 2023-01-21T13:21:22 Z 79brue Digital Circuit (IOI22_circuit) C++17
100 / 100
1200 ms 41304 KB
#include "circuit.h"
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
const ll MOD = 1'000'002'022;

int n, m;

struct segTree{
    ll sum[800002], rev[800002], lazy[800002];

    void init(int i, int l, int r, ll *A, vector<int> &B){
        lazy[i] = 0;
        if(l==r){
            sum[i] = A[l], rev[i] = 0;
            if(!B[l-n]) swap(sum[i], rev[i]);
            return;
        }
        int m = (l+r)>>1;
        init(i*2, l, m, A, B);
        init(i*2+1, m+1, r, A, B);
        sum[i] = (sum[i*2] + sum[i*2+1]) % MOD;
        rev[i] = (rev[i*2] + rev[i*2+1]) % MOD;
    }

    void propagate(int i, int l, int r){
        if(!lazy[i]) return;
        swap(sum[i], rev[i]);
        if(l!=r) lazy[i*2] = !lazy[i*2], lazy[i*2+1] = !lazy[i*2+1];
        lazy[i] = 0;
    }

    ll query(int i, int l, int r, int s, int e){
        propagate(i, l, r);
        if(r<s || e<l) return 0;
        if(s<=l && r<=e) return sum[i];
        int m = (l+r)>>1;
        return (query(i*2, l, m, s, e) + query(i*2+1, m+1, r, s, e)) % MOD;
    }

    void update(int i, int l, int r, int s, int e){
        propagate(i, l, r);
        if(r<s || e<l) return;
        if(s<=l && r<=e){
            lazy[i] = 1;
            propagate(i, l, r);
            return;
        }
        int m = (l+r)>>1;
        update(i*2, l, m, s, e), update(i*2+1, m+1, r, s, e);
        sum[i] = (sum[i*2] + sum[i*2+1]) % MOD;
        rev[i] = (rev[i*2] + rev[i*2+1]) % MOD;
    }
} tree;

int par[200002];
vector<int> link[200002];
ll S[200002], W[200002];

void dfs(int x){
    S[x] = max(1, (int)link[x].size());
    for(auto y: link[x]){
        dfs(y);
        S[x] = (S[x] * S[y]) % MOD;
    }
}

void dfs2(int x, ll up = 1){
    int k = (int)link[x].size();
    vector<ll> prf(k+1), suf(k+1);
    prf[0] = suf[k] = 1;
    for(int i=1; i<=k; i++) prf[i] = (prf[i-1] * S[link[x][i-1]]) % MOD;
    for(int i=k-1; i>=0; i--) suf[i] = (suf[i+1] * S[link[x][i]]) % MOD;

    W[x] = up;
    for(int i=0; i<k; i++){
        dfs2(link[x][i], up * prf[i] % MOD * suf[i+1] % MOD);
    }
}

void init(int _n, int _m, vector<int> P, vector<int> A){
    n = _n, m = _m;
    for(int i=0; i<n+m; i++) par[i] = P[i], link[par[i]].push_back(i);
    dfs(0);
    dfs2(0);
    tree.init(1, n, n+m-1, W, A);
}

int count_ways(int L, int R) {
    tree.update(1, n, n+m-1, L, R);
    return tree.query(1, n, n+m-1, n, n+m-1);
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 5072 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 4 ms 5328 KB Output is correct
11 Correct 4 ms 5328 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 4 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 4 ms 5108 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 4 ms 5328 KB Output is correct
39 Correct 4 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 678 ms 9604 KB Output is correct
2 Correct 810 ms 14204 KB Output is correct
3 Correct 861 ms 14232 KB Output is correct
4 Correct 1026 ms 14228 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 678 ms 9604 KB Output is correct
2 Correct 810 ms 14204 KB Output is correct
3 Correct 861 ms 14232 KB Output is correct
4 Correct 1026 ms 14228 KB Output is correct
5 Correct 840 ms 9552 KB Output is correct
6 Correct 997 ms 14152 KB Output is correct
7 Correct 818 ms 14220 KB Output is correct
8 Correct 925 ms 14228 KB Output is correct
9 Correct 275 ms 5256 KB Output is correct
10 Correct 800 ms 5508 KB Output is correct
11 Correct 708 ms 5516 KB Output is correct
12 Correct 1035 ms 5552 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 5072 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 4 ms 5072 KB Output is correct
10 Correct 4 ms 5328 KB Output is correct
11 Correct 4 ms 5328 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 678 ms 9604 KB Output is correct
14 Correct 810 ms 14204 KB Output is correct
15 Correct 861 ms 14232 KB Output is correct
16 Correct 1026 ms 14228 KB Output is correct
17 Correct 840 ms 9552 KB Output is correct
18 Correct 997 ms 14152 KB Output is correct
19 Correct 818 ms 14220 KB Output is correct
20 Correct 925 ms 14228 KB Output is correct
21 Correct 275 ms 5256 KB Output is correct
22 Correct 800 ms 5508 KB Output is correct
23 Correct 708 ms 5516 KB Output is correct
24 Correct 1035 ms 5552 KB Output is correct
25 Correct 1075 ms 20352 KB Output is correct
26 Correct 918 ms 20544 KB Output is correct
27 Correct 1200 ms 20676 KB Output is correct
28 Correct 631 ms 20600 KB Output is correct
29 Correct 1072 ms 40820 KB Output is correct
30 Correct 663 ms 40864 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 4 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 4 ms 5108 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 4 ms 5328 KB Output is correct
39 Correct 4 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5072 KB Output is correct
43 Correct 509 ms 5456 KB Output is correct
44 Correct 868 ms 5508 KB Output is correct
45 Correct 715 ms 5456 KB Output is correct
46 Correct 642 ms 5840 KB Output is correct
47 Correct 959 ms 5900 KB Output is correct
48 Correct 888 ms 5900 KB Output is correct
49 Correct 915 ms 5892 KB Output is correct
50 Correct 784 ms 5900 KB Output is correct
51 Correct 913 ms 5712 KB Output is correct
52 Correct 891 ms 5708 KB Output is correct
53 Correct 923 ms 6280 KB Output is correct
54 Correct 973 ms 5764 KB Output is correct
55 Correct 942 ms 5636 KB Output is correct
56 Correct 768 ms 5640 KB Output is correct
57 Correct 1022 ms 5508 KB Output is correct
58 Correct 676 ms 6884 KB Output is correct
59 Correct 1016 ms 6984 KB Output is correct
60 Correct 825 ms 6992 KB Output is correct
61 Correct 949 ms 5704 KB Output is correct
62 Correct 674 ms 5456 KB Output is correct
63 Correct 862 ms 5328 KB Output is correct
64 Correct 858 ms 5644 KB Output is correct
65 Correct 421 ms 5200 KB Output is correct
66 Correct 971 ms 5576 KB Output is correct
67 Correct 860 ms 5584 KB Output is correct
68 Correct 825 ms 5512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 4 ms 4944 KB Output is correct
3 Correct 3 ms 5072 KB Output is correct
4 Correct 3 ms 5072 KB Output is correct
5 Correct 3 ms 5072 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 4944 KB Output is correct
10 Correct 4 ms 5072 KB Output is correct
11 Correct 3 ms 5072 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 3 ms 5072 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 4 ms 5072 KB Output is correct
18 Correct 4 ms 5328 KB Output is correct
19 Correct 4 ms 5328 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 3 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 4 ms 5108 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 3 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 4 ms 5248 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 4 ms 5072 KB Output is correct
34 Correct 4 ms 5072 KB Output is correct
35 Correct 3 ms 5072 KB Output is correct
36 Correct 3 ms 5328 KB Output is correct
37 Correct 3 ms 5328 KB Output is correct
38 Correct 4 ms 5328 KB Output is correct
39 Correct 4 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 4 ms 5072 KB Output is correct
42 Correct 4 ms 5072 KB Output is correct
43 Correct 678 ms 9604 KB Output is correct
44 Correct 810 ms 14204 KB Output is correct
45 Correct 861 ms 14232 KB Output is correct
46 Correct 1026 ms 14228 KB Output is correct
47 Correct 840 ms 9552 KB Output is correct
48 Correct 997 ms 14152 KB Output is correct
49 Correct 818 ms 14220 KB Output is correct
50 Correct 925 ms 14228 KB Output is correct
51 Correct 275 ms 5256 KB Output is correct
52 Correct 800 ms 5508 KB Output is correct
53 Correct 708 ms 5516 KB Output is correct
54 Correct 1035 ms 5552 KB Output is correct
55 Correct 1075 ms 20352 KB Output is correct
56 Correct 918 ms 20544 KB Output is correct
57 Correct 1200 ms 20676 KB Output is correct
58 Correct 631 ms 20600 KB Output is correct
59 Correct 1072 ms 40820 KB Output is correct
60 Correct 663 ms 40864 KB Output is correct
61 Correct 509 ms 5456 KB Output is correct
62 Correct 868 ms 5508 KB Output is correct
63 Correct 715 ms 5456 KB Output is correct
64 Correct 642 ms 5840 KB Output is correct
65 Correct 959 ms 5900 KB Output is correct
66 Correct 888 ms 5900 KB Output is correct
67 Correct 915 ms 5892 KB Output is correct
68 Correct 784 ms 5900 KB Output is correct
69 Correct 913 ms 5712 KB Output is correct
70 Correct 891 ms 5708 KB Output is correct
71 Correct 923 ms 6280 KB Output is correct
72 Correct 973 ms 5764 KB Output is correct
73 Correct 942 ms 5636 KB Output is correct
74 Correct 768 ms 5640 KB Output is correct
75 Correct 1022 ms 5508 KB Output is correct
76 Correct 676 ms 6884 KB Output is correct
77 Correct 1016 ms 6984 KB Output is correct
78 Correct 825 ms 6992 KB Output is correct
79 Correct 949 ms 5704 KB Output is correct
80 Correct 674 ms 5456 KB Output is correct
81 Correct 862 ms 5328 KB Output is correct
82 Correct 858 ms 5644 KB Output is correct
83 Correct 421 ms 5200 KB Output is correct
84 Correct 971 ms 5576 KB Output is correct
85 Correct 860 ms 5584 KB Output is correct
86 Correct 825 ms 5512 KB Output is correct
87 Correct 3 ms 4944 KB Output is correct
88 Correct 572 ms 19588 KB Output is correct
89 Correct 986 ms 14408 KB Output is correct
90 Correct 999 ms 14084 KB Output is correct
91 Correct 977 ms 20632 KB Output is correct
92 Correct 1059 ms 20596 KB Output is correct
93 Correct 890 ms 20596 KB Output is correct
94 Correct 967 ms 20680 KB Output is correct
95 Correct 706 ms 20680 KB Output is correct
96 Correct 770 ms 15136 KB Output is correct
97 Correct 948 ms 15172 KB Output is correct
98 Correct 742 ms 31176 KB Output is correct
99 Correct 959 ms 20484 KB Output is correct
100 Correct 866 ms 17528 KB Output is correct
101 Correct 884 ms 16636 KB Output is correct
102 Correct 849 ms 15304 KB Output is correct
103 Correct 911 ms 40868 KB Output is correct
104 Correct 845 ms 41304 KB Output is correct
105 Correct 783 ms 41296 KB Output is correct
106 Correct 879 ms 18640 KB Output is correct
107 Correct 937 ms 15944 KB Output is correct
108 Correct 915 ms 15816 KB Output is correct
109 Correct 866 ms 15368 KB Output is correct