oj.uz

Submission #934077

# Submission time Handle Problem Language Result Execution time Memory
934077 2024-02-26T18:49:16 Z jamesbamber Digital Circuit (IOI22_circuit) C++17
100 / 100
 711 ms 42900 KB 
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

using ll = long long;
constexpr ll MOD = 1'000'002'022;

struct segment{
    struct Node{
        ll sum=0, act=0, lazy=0;
    };

    vector<Node> tr;

    void push(int v){
        if(!tr[v].lazy) return;
        tr[v].lazy = 0;
        if(2*v+1 < (int)tr.size()){
            tr[2*v].lazy ^= 1;
            tr[2*v+1].lazy ^= 1;
        }
        tr[v].act = (MOD + tr[v].sum - tr[v].act)%MOD;
    }

    void merge(int v){
        tr[v].sum = (tr[2*v].sum + tr[2*v+1].sum)%MOD;
        tr[v].act = (tr[2*v].act + tr[2*v+1].act)%MOD;
    }

    void build(int v, int l, int r, vector<ll> &a){
        if(r-l == 1){
            tr[v] = {a[l], a[l], 0};
            return;
        }
        int m = (l+r)/2;
        build(2*v, l, m, a);
        build(2*v+1, m, r, a);
        merge(v);
    }

    segment(int n, vector<ll> &v){
        tr.resize(4*(n+1));
        build(1, 0, n, v);
    }

    void upd(int v, int l, int r, int ql, int qr){
        push(v);
        if(l >= qr or r <= ql) return;
        if(l >= ql and r <= qr){
            tr[v].lazy = 1;
            push(v);
            return;
        }
        int m = (l+r)/2;
        upd(2*v, l, m, ql, qr);
        upd(2*v+1, m, r, ql, qr);
        merge(v);
    }

    ll query(){
        return tr[1].act;
    }
};

segment *st;
int m, n;

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

    vector<vector<int>> ad(N+M);
    for(int i=1; i<N+M; i++){
        ad[P[i]].push_back(i);
    }
    vector<ll> prod(N+M);
    vector<ll> ways(M);

    function<void(int)> dfs = [&](int v){
        prod[v] = max(1, (int)ad[v].size());
        for(int u: ad[v]){
            dfs(u);
            prod[v] = prod[v]*prod[u]%MOD;
        }
    };

    function<void(int,ll)> dfs2 = [&](int v, ll up){
        if(v >= N){
            ways[v-N] = up;
            return;
        }
        int len = ad[v].size();
        vector<ll> pref(len+1, 1), suff(len+1, 1);
        for(int i=0; i<len; i++) pref[i+1] = pref[i]*prod[ad[v][i]]%MOD;
        for(int i=len-1; i>=0; i--) suff[i] = suff[i+1]*prod[ad[v][i]]%MOD;

        for(int i=0; i<len; i++){
            dfs2(ad[v][i], pref[i]*suff[i+1]%MOD*up%MOD);
        }
    };

    dfs(0); dfs2(0, 1);

    m = M; n = N;
    st = new segment(m, ways);
    for(int i=0; i<M; i++){
        if(!A[i]) st->upd(1, 0, m, i, i+1);
    }
}

int count_ways(int L, int R) {
    st->upd(1, 0, m, L-n, R+1-n);
    return st->query();
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 600 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 852 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 600 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 768 KB Output is correct
35 Correct 1 ms 544 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 852 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 391 ms 7512 KB Output is correct
2 Correct 590 ms 14792 KB Output is correct
3 Correct 597 ms 14780 KB Output is correct
4 Correct 617 ms 14772 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 391 ms 7512 KB Output is correct
2 Correct 590 ms 14792 KB Output is correct
3 Correct 597 ms 14780 KB Output is correct
4 Correct 617 ms 14772 KB Output is correct
5 Correct 566 ms 7488 KB Output is correct
6 Correct 668 ms 14760 KB Output is correct
7 Correct 665 ms 14784 KB Output is correct
8 Correct 653 ms 14764 KB Output is correct
9 Correct 305 ms 856 KB Output is correct
10 Correct 633 ms 1112 KB Output is correct
11 Correct 590 ms 1112 KB Output is correct
12 Correct 562 ms 1112 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 1 ms 344 KB Output is correct
7 Correct 1 ms 600 KB Output is correct
8 Correct 1 ms 600 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 600 KB Output is correct
13 Correct 391 ms 7512 KB Output is correct
14 Correct 590 ms 14792 KB Output is correct
15 Correct 597 ms 14780 KB Output is correct
16 Correct 617 ms 14772 KB Output is correct
17 Correct 566 ms 7488 KB Output is correct
18 Correct 668 ms 14760 KB Output is correct
19 Correct 665 ms 14784 KB Output is correct
20 Correct 653 ms 14764 KB Output is correct
21 Correct 305 ms 856 KB Output is correct
22 Correct 633 ms 1112 KB Output is correct
23 Correct 590 ms 1112 KB Output is correct
24 Correct 562 ms 1112 KB Output is correct
25 Correct 700 ms 21920 KB Output is correct
26 Correct 706 ms 22372 KB Output is correct
27 Correct 683 ms 22104 KB Output is correct
28 Correct 507 ms 22348 KB Output is correct
29 Correct 696 ms 42592 KB Output is correct
30 Correct 614 ms 42700 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 852 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 600 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 768 KB Output is correct
35 Correct 1 ms 544 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 852 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 425 ms 864 KB Output is correct
44 Correct 553 ms 856 KB Output is correct
45 Correct 538 ms 856 KB Output is correct
46 Correct 514 ms 1368 KB Output is correct
47 Correct 519 ms 1368 KB Output is correct
48 Correct 540 ms 1368 KB Output is correct
49 Correct 526 ms 1368 KB Output is correct
50 Correct 506 ms 1368 KB Output is correct
51 Correct 506 ms 1112 KB Output is correct
52 Correct 534 ms 1112 KB Output is correct
53 Correct 479 ms 1624 KB Output is correct
54 Correct 536 ms 1368 KB Output is correct
55 Correct 525 ms 1112 KB Output is correct
56 Correct 536 ms 1112 KB Output is correct
57 Correct 512 ms 1112 KB Output is correct
58 Correct 521 ms 2392 KB Output is correct
59 Correct 529 ms 2648 KB Output is correct
60 Correct 478 ms 2648 KB Output is correct
61 Correct 530 ms 1112 KB Output is correct
62 Correct 544 ms 1112 KB Output is correct
63 Correct 518 ms 856 KB Output is correct
64 Correct 547 ms 1112 KB Output is correct
65 Correct 250 ms 856 KB Output is correct
66 Correct 519 ms 1112 KB Output is correct
67 Correct 510 ms 1112 KB Output is correct
68 Correct 520 ms 1112 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 596 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 344 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 344 KB Output is correct
15 Correct 1 ms 600 KB Output is correct
16 Correct 1 ms 600 KB Output is correct
17 Correct 1 ms 600 KB Output is correct
18 Correct 1 ms 600 KB Output is correct
19 Correct 1 ms 600 KB Output is correct
20 Correct 1 ms 600 KB Output is correct
21 Correct 1 ms 600 KB Output is correct
22 Correct 1 ms 344 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 852 KB Output is correct
25 Correct 1 ms 600 KB Output is correct
26 Correct 1 ms 600 KB Output is correct
27 Correct 1 ms 600 KB Output is correct
28 Correct 1 ms 600 KB Output is correct
29 Correct 1 ms 344 KB Output is correct
30 Correct 1 ms 344 KB Output is correct
31 Correct 1 ms 600 KB Output is correct
32 Correct 1 ms 600 KB Output is correct
33 Correct 1 ms 600 KB Output is correct
34 Correct 1 ms 768 KB Output is correct
35 Correct 1 ms 544 KB Output is correct
36 Correct 1 ms 600 KB Output is correct
37 Correct 1 ms 852 KB Output is correct
38 Correct 1 ms 856 KB Output is correct
39 Correct 1 ms 344 KB Output is correct
40 Correct 1 ms 344 KB Output is correct
41 Correct 1 ms 344 KB Output is correct
42 Correct 1 ms 344 KB Output is correct
43 Correct 391 ms 7512 KB Output is correct
44 Correct 590 ms 14792 KB Output is correct
45 Correct 597 ms 14780 KB Output is correct
46 Correct 617 ms 14772 KB Output is correct
47 Correct 566 ms 7488 KB Output is correct
48 Correct 668 ms 14760 KB Output is correct
49 Correct 665 ms 14784 KB Output is correct
50 Correct 653 ms 14764 KB Output is correct
51 Correct 305 ms 856 KB Output is correct
52 Correct 633 ms 1112 KB Output is correct
53 Correct 590 ms 1112 KB Output is correct
54 Correct 562 ms 1112 KB Output is correct
55 Correct 700 ms 21920 KB Output is correct
56 Correct 706 ms 22372 KB Output is correct
57 Correct 683 ms 22104 KB Output is correct
58 Correct 507 ms 22348 KB Output is correct
59 Correct 696 ms 42592 KB Output is correct
60 Correct 614 ms 42700 KB Output is correct
61 Correct 425 ms 864 KB Output is correct
62 Correct 553 ms 856 KB Output is correct
63 Correct 538 ms 856 KB Output is correct
64 Correct 514 ms 1368 KB Output is correct
65 Correct 519 ms 1368 KB Output is correct
66 Correct 540 ms 1368 KB Output is correct
67 Correct 526 ms 1368 KB Output is correct
68 Correct 506 ms 1368 KB Output is correct
69 Correct 506 ms 1112 KB Output is correct
70 Correct 534 ms 1112 KB Output is correct
71 Correct 479 ms 1624 KB Output is correct
72 Correct 536 ms 1368 KB Output is correct
73 Correct 525 ms 1112 KB Output is correct
74 Correct 536 ms 1112 KB Output is correct
75 Correct 512 ms 1112 KB Output is correct
76 Correct 521 ms 2392 KB Output is correct
77 Correct 529 ms 2648 KB Output is correct
78 Correct 478 ms 2648 KB Output is correct
79 Correct 530 ms 1112 KB Output is correct
80 Correct 544 ms 1112 KB Output is correct
81 Correct 518 ms 856 KB Output is correct
82 Correct 547 ms 1112 KB Output is correct
83 Correct 250 ms 856 KB Output is correct
84 Correct 519 ms 1112 KB Output is correct
85 Correct 510 ms 1112 KB Output is correct
86 Correct 520 ms 1112 KB Output is correct
87 Correct 0 ms 344 KB Output is correct
88 Correct 384 ms 19108 KB Output is correct
89 Correct 596 ms 13168 KB Output is correct
90 Correct 617 ms 13428 KB Output is correct
91 Correct 604 ms 22524 KB Output is correct
92 Correct 662 ms 22348 KB Output is correct
93 Correct 649 ms 22352 KB Output is correct
94 Correct 711 ms 22524 KB Output is correct
95 Correct 665 ms 22292 KB Output is correct
96 Correct 534 ms 15792 KB Output is correct
97 Correct 633 ms 15792 KB Output is correct
98 Correct 541 ms 27704 KB Output is correct
99 Correct 697 ms 22348 KB Output is correct
100 Correct 592 ms 18660 KB Output is correct
101 Correct 614 ms 17624 KB Output is correct
102 Correct 657 ms 15824 KB Output is correct
103 Correct 688 ms 42572 KB Output is correct
104 Correct 669 ms 42840 KB Output is correct
105 Correct 602 ms 42900 KB Output is correct
106 Correct 635 ms 16428 KB Output is correct
107 Correct 681 ms 13124 KB Output is correct
108 Correct 665 ms 14200 KB Output is correct
109 Correct 644 ms 15820 KB Output is correct