Submission #813228

# Submission time Handle Problem Language Result Execution time Memory
813228 2023-08-07T14:24:50 Z kwongweng Digital Circuit (IOI22_circuit) C++17
100 / 100
1076 ms 49572 KB
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef vector<int> vi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef long double ld;
typedef pair<ll, ll> pll;
#define FOR(i, a, b) for(int i = a; i < b; i++)
#define ROF(i, a, b) for(int i = a; i >= b; i--)
#define ms memset
#define pb push_back
#define fi first
#define se second

ll MOD = 1e9 + 2022;
int n, m;
vi g[400000];
vector<ll> prod(200000);
vector<ll> b(200000);
vi a;

void get_prod(int u){
  prod[u]=max(1,(int)g[u].size());
  for (int v : g[u]){
    get_prod(v);
    prod[u] *= prod[v]; prod[u] %= MOD;
  }
}

void dfs(int u, ll val){
  int len = g[u].size();
  if (len==0){
    b[u-n] = val; return;
  }
  vector<ll> p(len);
  FOR(i,0,len){
    p[i] = prod[g[u][i]];
  }
  vector<ll> pre(len+1), suf(len+1);
  pre[0]=1; FOR(i,1,len+1){
    pre[i]=(pre[i-1]*p[i-1]) % MOD;
  }
  suf[len]=1; ROF(i,len-1,0){
    suf[i]=(suf[i+1]*p[i]) % MOD;
  }
  FOR(i,0,len){
    int v = g[u][i];
    ll Val = (pre[i]*suf[i+1]) % MOD;
    Val *= val; Val %= MOD;
    dfs(v,Val);
  }
}

ll ans=0;
struct segtree{
  int sz; vi neg; vector<ll> sm;
  void build(int v, int tl, int tr){
    if (tl==tr){
      if (a[tl]==0) sm[v]=MOD-b[tl];
      else sm[v]=b[tl];
      return;
    }
    int tm = (tl+tr)/2;
    build(2*v,tl,tm); build(2*v+1,tm+1,tr);
    sm[v]=(sm[2*v]+sm[2*v+1]) % MOD;
  }
  void init(int n){
    sz=n; neg.assign(4*n,1); sm.assign(4*n,0);
    build(1,0,sz-1);
  }
  void update(int v, int tl, int tr, int l, int r){
    if (tl != tr && neg[v]==-1){
      neg[2*v]=-neg[2*v]; sm[2*v]=MOD-sm[2*v];
      neg[2*v+1]=-neg[2*v+1]; sm[2*v+1]=MOD-sm[2*v+1];
      neg[v]=1;
    }
    if (tl==l && tr==r){
      neg[v]=-neg[v]; sm[v]=MOD-sm[v]; return;
    }
    if (l>r) return;
    int tm = (tl+tr)/2;
    update(2*v,tl,tm,l,min(r,tm)); update(2*v+1,tm+1,tr,max(l,tm+1),r);
    sm[v]=(sm[2*v]+sm[2*v+1]) % MOD;
  }
  void update(int l, int r){update(1,0,sz-1,l,r);}

  ll get(int v, int tl, int tr, int l, int r){
    if (tl != tr && neg[v]==-1){
      neg[2*v]=-neg[2*v]; sm[2*v]=MOD-sm[2*v];
      neg[2*v+1]=-neg[2*v+1]; sm[2*v+1]=MOD-sm[2*v+1];
      neg[v]=1;
    }
    if (tl==l && tr==r) return sm[v];
    if (l>r) return 0;
    int tm = (tl+tr)/2;
    ll val = (get(2*v,tl,tm,l,min(r,tm))+get(2*v+1,tm+1,tr,max(l,tm+1),r)) % MOD;
    sm[v]=(sm[2*v]+sm[2*v+1])%MOD;
    return val;
  }

  ll get(int l, int r){return get(1,0,sz-1,l,r);}
};

segtree st;

void init(int N, int M, vi P, vi A) {
  n=N, m=M; a=A;
  FOR(i,1,n+m){
    g[P[i]].pb(i);
  }
  get_prod(0); dfs(0,1);
  //FOR(i,0,m) cout << a[i] << " ";
  //cout << '\n';
  //FOR(i,0,m) cout << b[i] << " ";
  //cout << '\n';
  st.init(m);
  FOR(i,0,m){
    if (a[i]){ans += b[i]; ans %= MOD;}
  }
}

int count_ways(int L, int R) {
  st.update(L-n,R-n);
  //FOR(i,0,m) cout << st.get(i,i) << " ";
  //cout << '\n';
  ans += st.get(L-n,R-n);
  ans %= MOD;
  return ans;
}
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12752 KB Output is correct
2 Correct 6 ms 12752 KB Output is correct
3 Correct 7 ms 12880 KB Output is correct
4 Correct 5 ms 12872 KB Output is correct
5 Correct 5 ms 12916 KB Output is correct
6 Correct 6 ms 12920 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 5 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12972 KB Output is correct
2 Correct 5 ms 12752 KB Output is correct
3 Correct 5 ms 12880 KB Output is correct
4 Correct 6 ms 12844 KB Output is correct
5 Correct 6 ms 12892 KB Output is correct
6 Correct 6 ms 12880 KB Output is correct
7 Correct 6 ms 12880 KB Output is correct
8 Correct 7 ms 12832 KB Output is correct
9 Correct 6 ms 12880 KB Output is correct
10 Correct 6 ms 13092 KB Output is correct
11 Correct 6 ms 13148 KB Output is correct
12 Correct 6 ms 12904 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12752 KB Output is correct
2 Correct 6 ms 12752 KB Output is correct
3 Correct 7 ms 12880 KB Output is correct
4 Correct 5 ms 12872 KB Output is correct
5 Correct 5 ms 12916 KB Output is correct
6 Correct 6 ms 12920 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 5 ms 12880 KB Output is correct
9 Correct 7 ms 12972 KB Output is correct
10 Correct 5 ms 12752 KB Output is correct
11 Correct 5 ms 12880 KB Output is correct
12 Correct 6 ms 12844 KB Output is correct
13 Correct 6 ms 12892 KB Output is correct
14 Correct 6 ms 12880 KB Output is correct
15 Correct 6 ms 12880 KB Output is correct
16 Correct 7 ms 12832 KB Output is correct
17 Correct 6 ms 12880 KB Output is correct
18 Correct 6 ms 13092 KB Output is correct
19 Correct 6 ms 13148 KB Output is correct
20 Correct 6 ms 12904 KB Output is correct
21 Correct 6 ms 12880 KB Output is correct
22 Correct 6 ms 12776 KB Output is correct
23 Correct 6 ms 12880 KB Output is correct
24 Correct 6 ms 12948 KB Output is correct
25 Correct 6 ms 12896 KB Output is correct
26 Correct 6 ms 12880 KB Output is correct
27 Correct 7 ms 12880 KB Output is correct
28 Correct 6 ms 12928 KB Output is correct
29 Correct 5 ms 12880 KB Output is correct
30 Correct 5 ms 12808 KB Output is correct
31 Correct 6 ms 13136 KB Output is correct
32 Correct 6 ms 12880 KB Output is correct
33 Correct 6 ms 12880 KB Output is correct
34 Correct 6 ms 12880 KB Output is correct
35 Correct 7 ms 12880 KB Output is correct
36 Correct 6 ms 13136 KB Output is correct
37 Correct 6 ms 13136 KB Output is correct
38 Correct 6 ms 13136 KB Output is correct
39 Correct 6 ms 12880 KB Output is correct
40 Correct 7 ms 12880 KB Output is correct
41 Correct 6 ms 12788 KB Output is correct
42 Correct 6 ms 12880 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 473 ms 16208 KB Output is correct
2 Correct 888 ms 19712 KB Output is correct
3 Correct 648 ms 19744 KB Output is correct
4 Correct 679 ms 19764 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 473 ms 16208 KB Output is correct
2 Correct 888 ms 19712 KB Output is correct
3 Correct 648 ms 19744 KB Output is correct
4 Correct 679 ms 19764 KB Output is correct
5 Correct 659 ms 16208 KB Output is correct
6 Correct 969 ms 19672 KB Output is correct
7 Correct 846 ms 19656 KB Output is correct
8 Correct 790 ms 19656 KB Output is correct
9 Correct 372 ms 13036 KB Output is correct
10 Correct 790 ms 13264 KB Output is correct
11 Correct 790 ms 13264 KB Output is correct
12 Correct 864 ms 13264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12972 KB Output is correct
2 Correct 5 ms 12752 KB Output is correct
3 Correct 5 ms 12880 KB Output is correct
4 Correct 6 ms 12844 KB Output is correct
5 Correct 6 ms 12892 KB Output is correct
6 Correct 6 ms 12880 KB Output is correct
7 Correct 6 ms 12880 KB Output is correct
8 Correct 7 ms 12832 KB Output is correct
9 Correct 6 ms 12880 KB Output is correct
10 Correct 6 ms 13092 KB Output is correct
11 Correct 6 ms 13148 KB Output is correct
12 Correct 6 ms 12904 KB Output is correct
13 Correct 473 ms 16208 KB Output is correct
14 Correct 888 ms 19712 KB Output is correct
15 Correct 648 ms 19744 KB Output is correct
16 Correct 679 ms 19764 KB Output is correct
17 Correct 659 ms 16208 KB Output is correct
18 Correct 969 ms 19672 KB Output is correct
19 Correct 846 ms 19656 KB Output is correct
20 Correct 790 ms 19656 KB Output is correct
21 Correct 372 ms 13036 KB Output is correct
22 Correct 790 ms 13264 KB Output is correct
23 Correct 790 ms 13264 KB Output is correct
24 Correct 864 ms 13264 KB Output is correct
25 Correct 781 ms 23192 KB Output is correct
26 Correct 971 ms 23320 KB Output is correct
27 Correct 916 ms 23336 KB Output is correct
28 Correct 616 ms 23336 KB Output is correct
29 Correct 965 ms 46760 KB Output is correct
30 Correct 812 ms 46760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12752 KB Output is correct
2 Correct 6 ms 12752 KB Output is correct
3 Correct 7 ms 12880 KB Output is correct
4 Correct 5 ms 12872 KB Output is correct
5 Correct 5 ms 12916 KB Output is correct
6 Correct 6 ms 12920 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 5 ms 12880 KB Output is correct
9 Correct 7 ms 12972 KB Output is correct
10 Correct 5 ms 12752 KB Output is correct
11 Correct 5 ms 12880 KB Output is correct
12 Correct 6 ms 12844 KB Output is correct
13 Correct 6 ms 12892 KB Output is correct
14 Correct 6 ms 12880 KB Output is correct
15 Correct 6 ms 12880 KB Output is correct
16 Correct 7 ms 12832 KB Output is correct
17 Correct 6 ms 12880 KB Output is correct
18 Correct 6 ms 13092 KB Output is correct
19 Correct 6 ms 13148 KB Output is correct
20 Correct 6 ms 12904 KB Output is correct
21 Correct 6 ms 12880 KB Output is correct
22 Correct 6 ms 12776 KB Output is correct
23 Correct 6 ms 12880 KB Output is correct
24 Correct 6 ms 12948 KB Output is correct
25 Correct 6 ms 12896 KB Output is correct
26 Correct 6 ms 12880 KB Output is correct
27 Correct 7 ms 12880 KB Output is correct
28 Correct 6 ms 12928 KB Output is correct
29 Correct 5 ms 12880 KB Output is correct
30 Correct 5 ms 12808 KB Output is correct
31 Correct 6 ms 13136 KB Output is correct
32 Correct 6 ms 12880 KB Output is correct
33 Correct 6 ms 12880 KB Output is correct
34 Correct 6 ms 12880 KB Output is correct
35 Correct 7 ms 12880 KB Output is correct
36 Correct 6 ms 13136 KB Output is correct
37 Correct 6 ms 13136 KB Output is correct
38 Correct 6 ms 13136 KB Output is correct
39 Correct 6 ms 12880 KB Output is correct
40 Correct 7 ms 12880 KB Output is correct
41 Correct 6 ms 12788 KB Output is correct
42 Correct 6 ms 12880 KB Output is correct
43 Correct 562 ms 13136 KB Output is correct
44 Correct 764 ms 13256 KB Output is correct
45 Correct 863 ms 13148 KB Output is correct
46 Correct 683 ms 13360 KB Output is correct
47 Correct 831 ms 13360 KB Output is correct
48 Correct 842 ms 13364 KB Output is correct
49 Correct 735 ms 13356 KB Output is correct
50 Correct 749 ms 13368 KB Output is correct
51 Correct 719 ms 13248 KB Output is correct
52 Correct 659 ms 13244 KB Output is correct
53 Correct 526 ms 14432 KB Output is correct
54 Correct 779 ms 13356 KB Output is correct
55 Correct 703 ms 13264 KB Output is correct
56 Correct 773 ms 13244 KB Output is correct
57 Correct 644 ms 13172 KB Output is correct
58 Correct 767 ms 14512 KB Output is correct
59 Correct 690 ms 14672 KB Output is correct
60 Correct 614 ms 14660 KB Output is correct
61 Correct 714 ms 13416 KB Output is correct
62 Correct 925 ms 13140 KB Output is correct
63 Correct 813 ms 13156 KB Output is correct
64 Correct 799 ms 13264 KB Output is correct
65 Correct 349 ms 13024 KB Output is correct
66 Correct 912 ms 13252 KB Output is correct
67 Correct 685 ms 13264 KB Output is correct
68 Correct 668 ms 13264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 7 ms 12752 KB Output is correct
2 Correct 6 ms 12752 KB Output is correct
3 Correct 7 ms 12880 KB Output is correct
4 Correct 5 ms 12872 KB Output is correct
5 Correct 5 ms 12916 KB Output is correct
6 Correct 6 ms 12920 KB Output is correct
7 Correct 8 ms 12788 KB Output is correct
8 Correct 5 ms 12880 KB Output is correct
9 Correct 7 ms 12972 KB Output is correct
10 Correct 5 ms 12752 KB Output is correct
11 Correct 5 ms 12880 KB Output is correct
12 Correct 6 ms 12844 KB Output is correct
13 Correct 6 ms 12892 KB Output is correct
14 Correct 6 ms 12880 KB Output is correct
15 Correct 6 ms 12880 KB Output is correct
16 Correct 7 ms 12832 KB Output is correct
17 Correct 6 ms 12880 KB Output is correct
18 Correct 6 ms 13092 KB Output is correct
19 Correct 6 ms 13148 KB Output is correct
20 Correct 6 ms 12904 KB Output is correct
21 Correct 6 ms 12880 KB Output is correct
22 Correct 6 ms 12776 KB Output is correct
23 Correct 6 ms 12880 KB Output is correct
24 Correct 6 ms 12948 KB Output is correct
25 Correct 6 ms 12896 KB Output is correct
26 Correct 6 ms 12880 KB Output is correct
27 Correct 7 ms 12880 KB Output is correct
28 Correct 6 ms 12928 KB Output is correct
29 Correct 5 ms 12880 KB Output is correct
30 Correct 5 ms 12808 KB Output is correct
31 Correct 6 ms 13136 KB Output is correct
32 Correct 6 ms 12880 KB Output is correct
33 Correct 6 ms 12880 KB Output is correct
34 Correct 6 ms 12880 KB Output is correct
35 Correct 7 ms 12880 KB Output is correct
36 Correct 6 ms 13136 KB Output is correct
37 Correct 6 ms 13136 KB Output is correct
38 Correct 6 ms 13136 KB Output is correct
39 Correct 6 ms 12880 KB Output is correct
40 Correct 7 ms 12880 KB Output is correct
41 Correct 6 ms 12788 KB Output is correct
42 Correct 6 ms 12880 KB Output is correct
43 Correct 473 ms 16208 KB Output is correct
44 Correct 888 ms 19712 KB Output is correct
45 Correct 648 ms 19744 KB Output is correct
46 Correct 679 ms 19764 KB Output is correct
47 Correct 659 ms 16208 KB Output is correct
48 Correct 969 ms 19672 KB Output is correct
49 Correct 846 ms 19656 KB Output is correct
50 Correct 790 ms 19656 KB Output is correct
51 Correct 372 ms 13036 KB Output is correct
52 Correct 790 ms 13264 KB Output is correct
53 Correct 790 ms 13264 KB Output is correct
54 Correct 864 ms 13264 KB Output is correct
55 Correct 781 ms 23192 KB Output is correct
56 Correct 971 ms 23320 KB Output is correct
57 Correct 916 ms 23336 KB Output is correct
58 Correct 616 ms 23336 KB Output is correct
59 Correct 965 ms 46760 KB Output is correct
60 Correct 812 ms 46760 KB Output is correct
61 Correct 562 ms 13136 KB Output is correct
62 Correct 764 ms 13256 KB Output is correct
63 Correct 863 ms 13148 KB Output is correct
64 Correct 683 ms 13360 KB Output is correct
65 Correct 831 ms 13360 KB Output is correct
66 Correct 842 ms 13364 KB Output is correct
67 Correct 735 ms 13356 KB Output is correct
68 Correct 749 ms 13368 KB Output is correct
69 Correct 719 ms 13248 KB Output is correct
70 Correct 659 ms 13244 KB Output is correct
71 Correct 526 ms 14432 KB Output is correct
72 Correct 779 ms 13356 KB Output is correct
73 Correct 703 ms 13264 KB Output is correct
74 Correct 773 ms 13244 KB Output is correct
75 Correct 644 ms 13172 KB Output is correct
76 Correct 767 ms 14512 KB Output is correct
77 Correct 690 ms 14672 KB Output is correct
78 Correct 614 ms 14660 KB Output is correct
79 Correct 714 ms 13416 KB Output is correct
80 Correct 925 ms 13140 KB Output is correct
81 Correct 813 ms 13156 KB Output is correct
82 Correct 799 ms 13264 KB Output is correct
83 Correct 349 ms 13024 KB Output is correct
84 Correct 912 ms 13252 KB Output is correct
85 Correct 685 ms 13264 KB Output is correct
86 Correct 668 ms 13264 KB Output is correct
87 Correct 6 ms 12820 KB Output is correct
88 Correct 514 ms 22012 KB Output is correct
89 Correct 799 ms 19144 KB Output is correct
90 Correct 853 ms 19224 KB Output is correct
91 Correct 696 ms 23448 KB Output is correct
92 Correct 629 ms 23464 KB Output is correct
93 Correct 1076 ms 23464 KB Output is correct
94 Correct 850 ms 23460 KB Output is correct
95 Correct 780 ms 23464 KB Output is correct
96 Correct 782 ms 19960 KB Output is correct
97 Correct 756 ms 19992 KB Output is correct
98 Correct 643 ms 44872 KB Output is correct
99 Correct 852 ms 23300 KB Output is correct
100 Correct 781 ms 21456 KB Output is correct
101 Correct 715 ms 20916 KB Output is correct
102 Correct 848 ms 19928 KB Output is correct
103 Correct 812 ms 46868 KB Output is correct
104 Correct 856 ms 49572 KB Output is correct
105 Correct 683 ms 49504 KB Output is correct
106 Correct 756 ms 22856 KB Output is correct
107 Correct 764 ms 18888 KB Output is correct
108 Correct 723 ms 19192 KB Output is correct
109 Correct 819 ms 20176 KB Output is correct