oj.uz

Submission #797204

# Submission time Handle Problem Language Result Execution time Memory
797204 2023-07-29T07:56:51 Z penguinman Digital Circuit (IOI22_circuit) C++17
100 / 100
 929 ms 44000 KB 
#include "circuit.h"

#include <bits/stdc++.h>
using std::cin;
using std::cout;
using std::endl;
using std::vector;
using std::string;
using ll = long long;
using vi = vector<ll>;
using vii = vector<vi>;
using pii = std::pair<ll,ll>;

constexpr ll mod = 1'000'002'022;

#define rep(i,j,k) for(ll i=ll(j); i<ll(k); i++)
#define REP(i,j,k) for(ll i=ll(j); i<=ll(k); i++)
#define per(i,j,k) for(ll i=ll(j); i>=ll(k); i--)
#define all(a) a.begin(),a.end()
#define pb emplace_back
#define ln "\n"

struct lazy_segment_tree{
  ll N;
  vi node;
  vector<bool> flag;
  vi sum;
  lazy_segment_tree(ll n, vi s, vi a){
    N = 1;
    while(N <= n) N *= 2;
    node.resize(2*N);
    flag.resize(2*N);
    sum.resize(2*N);
    rep(i,0,n) sum[i+N] = s[i];
    per(i,N-1,1) sum[i] = (sum[i*2]+sum[i*2+1])%mod;
    rep(i,0,n) node[i+N] = s[i]*a[i];
    per(i,N-1,1) node[i] = (node[i*2]+node[i*2+1])%mod;
  };
  void eval(ll now){
    if(flag[now]){
      node[now] = sum[now]-node[now];
      if(now < N){
        flag[now*2] = !flag[now*2];
        flag[now*2+1] = !flag[now*2+1];
      }
      flag[now] = false;
    }
  }
  void update(ll a, ll b, ll now = 1, ll l = 0, ll r = -1){
    if(r == -1) r = N;
    eval(now);
    if(a <= l && r <= b){
      flag[now] = !flag[now];
      eval(now);
      return;
    }
    if(r <= a || b <= l) return;
    update(a,b,now*2,l,(l+r)/2);
    update(a,b,now*2+1,(l+r)/2,r);
    node[now] = (node[now*2]+node[now*2+1])%mod;
  }
  ll calc(ll a, ll b, ll now = 1, ll l = 0, ll r = -1){
    if(r == -1) r = N;
    eval(now);
    if(a <= l && r <= b) return node[now];
    if(r <= a || b <= l) return 0;
    return (calc(a,b,now*2,l,(l+r)/2)+calc(a,b,now*2+1,(l+r)/2,r))%mod;
  }
};

vi sum;
vii edge;
vi A;
ll N,M;
lazy_segment_tree seg(0,vi(),vi());

void init(int n, int m, std::vector<int> P, std::vector<int> a) {
  N = n, M = m;
  sum.resize(N+M,1);
  edge.resize(N+M);
  A.resize(N+M);
  rep(i,0,M) A[i+N] = a[i];
  rep(i,1,N+M){
    edge[P[i]].pb(i);
  }
  vi sum2(N+M);
  std::function<void(ll)> dfs1 = [&](ll now){
    sum2[now] = edge[now].size();
    sum2[now] = std::max(sum2[now], 1ll);
    for(auto next: edge[now]){
      dfs1(next);
      sum2[now] *= sum2[next];
      sum2[now] %= mod;
    }
  };
  dfs1(0);
  std::function<void(ll)> dfs2 = [&](ll now){
    ll len = edge[now].size();
    vi l(len+1,1), r(len+1,1);
    rep(i,0,len){
      l[i+1] = l[i]*sum2[edge[now][i]]%mod;
    }
    per(i,len-1,0){
      r[i] = r[i+1]*sum2[edge[now][i]]%mod;
    }
    rep(i,0,len){
      ll next = edge[now][i];
      sum[next] = sum[now]*l[i]%mod*r[i+1]%mod;
      dfs2(next);
    }
  };
  dfs2(0);
  vi sum_(M);
  rep(i,0,M) sum_[i] = sum[i+N];
  vi A_(M);
  rep(i,0,M) A_[i] = a[i];
  lazy_segment_tree seg2(M,sum_,A_);
  seg = seg2;
}

int count_ways(int L, int R) {
  L -= N;
  R -= N;
  seg.update(L,R+1);
  ll ans = seg.calc(0,M);
  if(ans < 0) ans += mod;
  ans %= mod;
  return ans;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 416 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 216 KB Output is correct
2 Correct 0 ms 376 KB Output is correct
3 Correct 1 ms 424 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 492 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 1 ms 464 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 416 KB Output is correct
9 Correct 0 ms 216 KB Output is correct
10 Correct 0 ms 376 KB Output is correct
11 Correct 1 ms 424 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 492 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 544 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 2 ms 592 KB Output is correct
39 Correct 1 ms 464 KB Output is correct
40 Correct 1 ms 464 KB Output is correct
41 Correct 1 ms 464 KB Output is correct
42 Correct 1 ms 464 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 478 ms 9860 KB Output is correct
2 Correct 800 ms 19344 KB Output is correct
3 Correct 792 ms 19360 KB Output is correct
4 Correct 804 ms 19352 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 478 ms 9860 KB Output is correct
2 Correct 800 ms 19344 KB Output is correct
3 Correct 792 ms 19360 KB Output is correct
4 Correct 804 ms 19352 KB Output is correct
5 Correct 641 ms 9772 KB Output is correct
6 Correct 717 ms 19352 KB Output is correct
7 Correct 835 ms 19348 KB Output is correct
8 Correct 802 ms 19344 KB Output is correct
9 Correct 250 ms 904 KB Output is correct
10 Correct 631 ms 1488 KB Output is correct
11 Correct 772 ms 1488 KB Output is correct
12 Correct 720 ms 1492 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 216 KB Output is correct
2 Correct 0 ms 376 KB Output is correct
3 Correct 1 ms 424 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 492 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 464 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 592 KB Output is correct
11 Correct 1 ms 592 KB Output is correct
12 Correct 1 ms 464 KB Output is correct
13 Correct 478 ms 9860 KB Output is correct
14 Correct 800 ms 19344 KB Output is correct
15 Correct 792 ms 19360 KB Output is correct
16 Correct 804 ms 19352 KB Output is correct
17 Correct 641 ms 9772 KB Output is correct
18 Correct 717 ms 19352 KB Output is correct
19 Correct 835 ms 19348 KB Output is correct
20 Correct 802 ms 19344 KB Output is correct
21 Correct 250 ms 904 KB Output is correct
22 Correct 631 ms 1488 KB Output is correct
23 Correct 772 ms 1488 KB Output is correct
24 Correct 720 ms 1492 KB Output is correct
25 Correct 789 ms 24732 KB Output is correct
26 Correct 784 ms 25000 KB Output is correct
27 Correct 808 ms 25000 KB Output is correct
28 Correct 551 ms 24980 KB Output is correct
29 Correct 900 ms 43192 KB Output is correct
30 Correct 640 ms 43188 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 416 KB Output is correct
9 Correct 0 ms 216 KB Output is correct
10 Correct 0 ms 376 KB Output is correct
11 Correct 1 ms 424 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 492 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 544 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 2 ms 592 KB Output is correct
39 Correct 1 ms 464 KB Output is correct
40 Correct 1 ms 464 KB Output is correct
41 Correct 1 ms 464 KB Output is correct
42 Correct 1 ms 464 KB Output is correct
43 Correct 482 ms 1080 KB Output is correct
44 Correct 750 ms 1140 KB Output is correct
45 Correct 571 ms 1120 KB Output is correct
46 Correct 742 ms 1716 KB Output is correct
47 Correct 671 ms 1744 KB Output is correct
48 Correct 827 ms 1696 KB Output is correct
49 Correct 644 ms 1700 KB Output is correct
50 Correct 805 ms 1704 KB Output is correct
51 Correct 566 ms 1320 KB Output is correct
52 Correct 761 ms 1316 KB Output is correct
53 Correct 651 ms 1744 KB Output is correct
54 Correct 640 ms 1608 KB Output is correct
55 Correct 665 ms 1488 KB Output is correct
56 Correct 652 ms 1488 KB Output is correct
57 Correct 853 ms 1232 KB Output is correct
58 Correct 743 ms 2456 KB Output is correct
59 Correct 701 ms 2580 KB Output is correct
60 Correct 699 ms 2640 KB Output is correct
61 Correct 661 ms 1356 KB Output is correct
62 Correct 690 ms 1076 KB Output is correct
63 Correct 745 ms 1056 KB Output is correct
64 Correct 846 ms 1360 KB Output is correct
65 Correct 330 ms 904 KB Output is correct
66 Correct 669 ms 1508 KB Output is correct
67 Correct 720 ms 1444 KB Output is correct
68 Correct 801 ms 1444 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 292 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Correct 1 ms 336 KB Output is correct
4 Correct 1 ms 464 KB Output is correct
5 Correct 1 ms 464 KB Output is correct
6 Correct 1 ms 464 KB Output is correct
7 Correct 1 ms 464 KB Output is correct
8 Correct 1 ms 416 KB Output is correct
9 Correct 0 ms 216 KB Output is correct
10 Correct 0 ms 376 KB Output is correct
11 Correct 1 ms 424 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 492 KB Output is correct
15 Correct 1 ms 464 KB Output is correct
16 Correct 1 ms 464 KB Output is correct
17 Correct 1 ms 512 KB Output is correct
18 Correct 1 ms 592 KB Output is correct
19 Correct 1 ms 592 KB Output is correct
20 Correct 1 ms 464 KB Output is correct
21 Correct 1 ms 464 KB Output is correct
22 Correct 1 ms 336 KB Output is correct
23 Correct 1 ms 464 KB Output is correct
24 Correct 1 ms 464 KB Output is correct
25 Correct 1 ms 464 KB Output is correct
26 Correct 1 ms 464 KB Output is correct
27 Correct 1 ms 464 KB Output is correct
28 Correct 1 ms 464 KB Output is correct
29 Correct 1 ms 464 KB Output is correct
30 Correct 1 ms 464 KB Output is correct
31 Correct 1 ms 464 KB Output is correct
32 Correct 1 ms 544 KB Output is correct
33 Correct 1 ms 464 KB Output is correct
34 Correct 1 ms 464 KB Output is correct
35 Correct 1 ms 336 KB Output is correct
36 Correct 1 ms 592 KB Output is correct
37 Correct 1 ms 592 KB Output is correct
38 Correct 2 ms 592 KB Output is correct
39 Correct 1 ms 464 KB Output is correct
40 Correct 1 ms 464 KB Output is correct
41 Correct 1 ms 464 KB Output is correct
42 Correct 1 ms 464 KB Output is correct
43 Correct 478 ms 9860 KB Output is correct
44 Correct 800 ms 19344 KB Output is correct
45 Correct 792 ms 19360 KB Output is correct
46 Correct 804 ms 19352 KB Output is correct
47 Correct 641 ms 9772 KB Output is correct
48 Correct 717 ms 19352 KB Output is correct
49 Correct 835 ms 19348 KB Output is correct
50 Correct 802 ms 19344 KB Output is correct
51 Correct 250 ms 904 KB Output is correct
52 Correct 631 ms 1488 KB Output is correct
53 Correct 772 ms 1488 KB Output is correct
54 Correct 720 ms 1492 KB Output is correct
55 Correct 789 ms 24732 KB Output is correct
56 Correct 784 ms 25000 KB Output is correct
57 Correct 808 ms 25000 KB Output is correct
58 Correct 551 ms 24980 KB Output is correct
59 Correct 900 ms 43192 KB Output is correct
60 Correct 640 ms 43188 KB Output is correct
61 Correct 482 ms 1080 KB Output is correct
62 Correct 750 ms 1140 KB Output is correct
63 Correct 571 ms 1120 KB Output is correct
64 Correct 742 ms 1716 KB Output is correct
65 Correct 671 ms 1744 KB Output is correct
66 Correct 827 ms 1696 KB Output is correct
67 Correct 644 ms 1700 KB Output is correct
68 Correct 805 ms 1704 KB Output is correct
69 Correct 566 ms 1320 KB Output is correct
70 Correct 761 ms 1316 KB Output is correct
71 Correct 651 ms 1744 KB Output is correct
72 Correct 640 ms 1608 KB Output is correct
73 Correct 665 ms 1488 KB Output is correct
74 Correct 652 ms 1488 KB Output is correct
75 Correct 853 ms 1232 KB Output is correct
76 Correct 743 ms 2456 KB Output is correct
77 Correct 701 ms 2580 KB Output is correct
78 Correct 699 ms 2640 KB Output is correct
79 Correct 661 ms 1356 KB Output is correct
80 Correct 690 ms 1076 KB Output is correct
81 Correct 745 ms 1056 KB Output is correct
82 Correct 846 ms 1360 KB Output is correct
83 Correct 330 ms 904 KB Output is correct
84 Correct 669 ms 1508 KB Output is correct
85 Correct 720 ms 1444 KB Output is correct
86 Correct 801 ms 1444 KB Output is correct
87 Correct 0 ms 208 KB Output is correct
88 Correct 398 ms 23528 KB Output is correct
89 Correct 759 ms 15008 KB Output is correct
90 Correct 757 ms 15048 KB Output is correct
91 Correct 745 ms 25596 KB Output is correct
92 Correct 697 ms 25616 KB Output is correct
93 Correct 823 ms 25600 KB Output is correct
94 Correct 862 ms 25644 KB Output is correct
95 Correct 820 ms 25596 KB Output is correct
96 Correct 634 ms 18672 KB Output is correct
97 Correct 887 ms 18724 KB Output is correct
98 Correct 672 ms 30744 KB Output is correct
99 Correct 791 ms 25000 KB Output is correct
100 Correct 819 ms 21712 KB Output is correct
101 Correct 687 ms 19880 KB Output is correct
102 Correct 727 ms 17448 KB Output is correct
103 Correct 662 ms 43168 KB Output is correct
104 Correct 708 ms 43920 KB Output is correct
105 Correct 830 ms 44000 KB Output is correct
106 Correct 929 ms 18704 KB Output is correct
107 Correct 802 ms 17592 KB Output is correct
108 Correct 878 ms 17996 KB Output is correct
109 Correct 713 ms 17584 KB Output is correct