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Submission #636061

# Submission time Handle Problem Language Result Execution time Memory
636061 2022-08-27T21:41:50 Z k_balint31415 Digital Circuit (IOI22_circuit) C++17
100 / 100
 1372 ms 32460 KB 
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll MOD=1000002022; //2*223*2242157
const ll mod=2242157;
const ll phi=497758632;
const int c=2e5+5;

struct num{
    ll _2,_223,_rest;
};

ll power(ll a, ll b, ll m){
    ll res=1;
    while(b){
        if(b&1){
            res*=a;
            res%=m;
        }
        a*=a; a%=m; b>>=1;
    }
    return res;
}

num div(num a, num b){
    num res;
    res._2=a._2-b._2;
    res._223=a._223-b._223;
    res._rest=a._rest*power(b._rest,phi-1,MOD)%MOD;
    return res;
}

num mul(num a, num b){
    num res;
    res._2=a._2+b._2;
    res._223=a._223+b._223;
    res._rest=a._rest*b._rest%MOD;
    return res;
}

num valt(ll a){
    num res;
    res._2=0;
    while(a%2==0){
        ++res._2; a/=2;
    }
    res._223=0;
    while(a%223==0){
        ++res._223; a/=223;
    }
    res._rest=a%MOD;
    return res;
}

ll vissza(num a){
    return power(2,a._2,MOD)*power(223,a._223,MOD)%MOD*a._rest%MOD;
}

int n,m;
vector<int> adj[c];
num db[c];
num arr[c];
num all;
bool szin[c];
int _N,_M;

void dfs(int v, num cur){
    db[v]=cur;
    cur=div(cur,arr[v]);
    for(int x: adj[v]){
        dfs(x,cur);
    }
}

pair<ll,ll> add(pair<ll,ll> a, pair<ll,ll> b){
    return make_pair((a.first+b.first)%MOD,(a.second+b.second)%MOD);
}

pair<ll,ll> tree[4*c];
bool lazy[4*c];

void build(int v, int l, int r){
    if(l==r){
        //cout << l << ' ' << vissza(db[l+_N-1]) << endl;
        if(!szin[l+_N-1]) tree[v]=make_pair(vissza(db[l+_N-1]),0);
        else tree[v]=make_pair(0,vissza(db[l+_N-1]));
        return;
    }

    int mid=l+r>>1;
    build(2*v,l,mid); build(2*v+1,mid+1,r);
    tree[v]=add(tree[2*v],tree[2*v+1]);
}

void update(int v, int l, int r, int x, int y){
    if(lazy[v]){
        swap(tree[v].first,tree[v].second);
        if(l != r){
            lazy[2*v]=lazy[2*v]^1;
            lazy[2*v+1]=lazy[2*v+1]^1;
        }
        lazy[v]=0;
    }

    if(l>r || l>y || x>r || x>y) return;

    if(x<=l && r<=y){
        swap(tree[v].first,tree[v].second);
        if(l != r){
            lazy[2*v]=lazy[2*v]^1;
            lazy[2*v+1]=lazy[2*v+1]^1;
        }
        return;
    }

    int mid=l+r>>1;
    update(2*v,l,mid,x,y); update(2*v+1,mid+1,r,x,y);
    tree[v]=add(tree[2*v],tree[2*v+1]);
}

void init(int N, int M, vector<int> P, vector<int> A){
    int n=N+M;
    _N=N; _M=M;
    all._2=0; all._223=0; all._rest=1;
    for(int i=1;i<n;i++){
        if(i>=N) szin[i]=A[i-N];
        adj[P[i]].push_back(i);
    }


    for(int i=0;i<n;i++){
        if(i<N){
            arr[i]=valt(adj[i].size());
            all=mul(all,arr[i]);
        }
        else arr[i]=valt(1);
    }

    dfs(0,all);
    
    build(1,1,M);
}

int count_ways(int L, int R){
    update(1,1,_M,L-_N+1,R-_N+1);
    return tree[1].second;
}

/*int main(){
    init(3,4,{-1, 0, 1, 2, 1, 1, 0},{1, 0, 1, 0});
    cout << count_ways(3,4) << '\n';
    cout << count_ways(4,5) << '\n';
    cout << count_ways(3,6) << endl;
}*/

Compilation message

circuit.cpp: In function 'void build(int, int, int)':
circuit.cpp:90:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
   90 |     int mid=l+r>>1;
      |             ~^~
circuit.cpp: In function 'void update(int, int, int, int, int)':
circuit.cpp:116:14: warning: suggest parentheses around '+' inside '>>' [-Wparentheses]
  116 |     int mid=l+r>>1;
      |             ~^~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 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 5056 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4980 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 3 ms 5200 KB Output is correct
8 Correct 4 ms 5200 KB Output is correct
9 Correct 5 ms 5156 KB Output is correct
10 Correct 4 ms 5200 KB Output is correct
11 Correct 4 ms 5200 KB Output is correct
12 Correct 4 ms 5072 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 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 5056 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 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 3 ms 4980 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 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 5 ms 5156 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 4 ms 5072 KB Output is correct
21 Correct 5 ms 5312 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 3 ms 5200 KB Output is correct
26 Correct 3 ms 5200 KB Output is correct
27 Correct 4 ms 5124 KB Output is correct
28 Correct 5 ms 5180 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 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 4 ms 5200 KB Output is correct
37 Correct 4 ms 5200 KB Output is correct
38 Correct 5 ms 5300 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 741 ms 10956 KB Output is correct
2 Correct 786 ms 16808 KB Output is correct
3 Correct 1008 ms 16888 KB Output is correct
4 Correct 908 ms 16804 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 741 ms 10956 KB Output is correct
2 Correct 786 ms 16808 KB Output is correct
3 Correct 1008 ms 16888 KB Output is correct
4 Correct 908 ms 16804 KB Output is correct
5 Correct 740 ms 10860 KB Output is correct
6 Correct 1002 ms 16788 KB Output is correct
7 Correct 1006 ms 16872 KB Output is correct
8 Correct 955 ms 16772 KB Output is correct
9 Correct 468 ms 5376 KB Output is correct
10 Correct 723 ms 5764 KB Output is correct
11 Correct 881 ms 5840 KB Output is correct
12 Correct 951 ms 5660 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 ms 4980 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 3 ms 5200 KB Output is correct
8 Correct 4 ms 5200 KB Output is correct
9 Correct 5 ms 5156 KB Output is correct
10 Correct 4 ms 5200 KB Output is correct
11 Correct 4 ms 5200 KB Output is correct
12 Correct 4 ms 5072 KB Output is correct
13 Correct 741 ms 10956 KB Output is correct
14 Correct 786 ms 16808 KB Output is correct
15 Correct 1008 ms 16888 KB Output is correct
16 Correct 908 ms 16804 KB Output is correct
17 Correct 740 ms 10860 KB Output is correct
18 Correct 1002 ms 16788 KB Output is correct
19 Correct 1006 ms 16872 KB Output is correct
20 Correct 955 ms 16772 KB Output is correct
21 Correct 468 ms 5376 KB Output is correct
22 Correct 723 ms 5764 KB Output is correct
23 Correct 881 ms 5840 KB Output is correct
24 Correct 951 ms 5660 KB Output is correct
25 Correct 1060 ms 23812 KB Output is correct
26 Correct 948 ms 23956 KB Output is correct
27 Correct 1075 ms 24076 KB Output is correct
28 Correct 917 ms 24016 KB Output is correct
29 Correct 1079 ms 31896 KB Output is correct
30 Correct 963 ms 31808 KB Output is correct

Subtask #7
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 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 5056 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 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 3 ms 4980 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 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 5 ms 5156 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 4 ms 5072 KB Output is correct
21 Correct 5 ms 5312 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 3 ms 5200 KB Output is correct
26 Correct 3 ms 5200 KB Output is correct
27 Correct 4 ms 5124 KB Output is correct
28 Correct 5 ms 5180 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 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 4 ms 5200 KB Output is correct
37 Correct 4 ms 5200 KB Output is correct
38 Correct 5 ms 5300 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 579 ms 5600 KB Output is correct
44 Correct 787 ms 5584 KB Output is correct
45 Correct 962 ms 5636 KB Output is correct
46 Correct 862 ms 5968 KB Output is correct
47 Correct 783 ms 5956 KB Output is correct
48 Correct 650 ms 6060 KB Output is correct
49 Correct 833 ms 5968 KB Output is correct
50 Correct 829 ms 5968 KB Output is correct
51 Correct 836 ms 5584 KB Output is correct
52 Correct 923 ms 5584 KB Output is correct
53 Correct 914 ms 5712 KB Output is correct
54 Correct 841 ms 5968 KB Output is correct
55 Correct 571 ms 5712 KB Output is correct
56 Correct 918 ms 5712 KB Output is correct
57 Correct 772 ms 5584 KB Output is correct
58 Correct 864 ms 6352 KB Output is correct
59 Correct 729 ms 6480 KB Output is correct
60 Correct 795 ms 6480 KB Output is correct
61 Correct 903 ms 5744 KB Output is correct
62 Correct 815 ms 5456 KB Output is correct
63 Correct 872 ms 5536 KB Output is correct
64 Correct 844 ms 5584 KB Output is correct
65 Correct 409 ms 5328 KB Output is correct
66 Correct 936 ms 5712 KB Output is correct
67 Correct 868 ms 5712 KB Output is correct
68 Correct 1008 ms 5764 KB Output is correct

Subtask #8
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4944 KB Output is correct
2 Correct 3 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 5056 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 3 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 3 ms 4980 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 3 ms 5200 KB Output is correct
16 Correct 4 ms 5200 KB Output is correct
17 Correct 5 ms 5156 KB Output is correct
18 Correct 4 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 4 ms 5072 KB Output is correct
21 Correct 5 ms 5312 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 5072 KB Output is correct
24 Correct 3 ms 5200 KB Output is correct
25 Correct 3 ms 5200 KB Output is correct
26 Correct 3 ms 5200 KB Output is correct
27 Correct 4 ms 5124 KB Output is correct
28 Correct 5 ms 5180 KB Output is correct
29 Correct 3 ms 5072 KB Output is correct
30 Correct 3 ms 5072 KB Output is correct
31 Correct 3 ms 5072 KB Output is correct
32 Correct 3 ms 5200 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 4 ms 5200 KB Output is correct
37 Correct 4 ms 5200 KB Output is correct
38 Correct 5 ms 5300 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 3 ms 5072 KB Output is correct
41 Correct 3 ms 5072 KB Output is correct
42 Correct 3 ms 5072 KB Output is correct
43 Correct 741 ms 10956 KB Output is correct
44 Correct 786 ms 16808 KB Output is correct
45 Correct 1008 ms 16888 KB Output is correct
46 Correct 908 ms 16804 KB Output is correct
47 Correct 740 ms 10860 KB Output is correct
48 Correct 1002 ms 16788 KB Output is correct
49 Correct 1006 ms 16872 KB Output is correct
50 Correct 955 ms 16772 KB Output is correct
51 Correct 468 ms 5376 KB Output is correct
52 Correct 723 ms 5764 KB Output is correct
53 Correct 881 ms 5840 KB Output is correct
54 Correct 951 ms 5660 KB Output is correct
55 Correct 1060 ms 23812 KB Output is correct
56 Correct 948 ms 23956 KB Output is correct
57 Correct 1075 ms 24076 KB Output is correct
58 Correct 917 ms 24016 KB Output is correct
59 Correct 1079 ms 31896 KB Output is correct
60 Correct 963 ms 31808 KB Output is correct
61 Correct 579 ms 5600 KB Output is correct
62 Correct 787 ms 5584 KB Output is correct
63 Correct 962 ms 5636 KB Output is correct
64 Correct 862 ms 5968 KB Output is correct
65 Correct 783 ms 5956 KB Output is correct
66 Correct 650 ms 6060 KB Output is correct
67 Correct 833 ms 5968 KB Output is correct
68 Correct 829 ms 5968 KB Output is correct
69 Correct 836 ms 5584 KB Output is correct
70 Correct 923 ms 5584 KB Output is correct
71 Correct 914 ms 5712 KB Output is correct
72 Correct 841 ms 5968 KB Output is correct
73 Correct 571 ms 5712 KB Output is correct
74 Correct 918 ms 5712 KB Output is correct
75 Correct 772 ms 5584 KB Output is correct
76 Correct 864 ms 6352 KB Output is correct
77 Correct 729 ms 6480 KB Output is correct
78 Correct 795 ms 6480 KB Output is correct
79 Correct 903 ms 5744 KB Output is correct
80 Correct 815 ms 5456 KB Output is correct
81 Correct 872 ms 5536 KB Output is correct
82 Correct 844 ms 5584 KB Output is correct
83 Correct 409 ms 5328 KB Output is correct
84 Correct 936 ms 5712 KB Output is correct
85 Correct 868 ms 5712 KB Output is correct
86 Correct 1008 ms 5764 KB Output is correct
87 Correct 2 ms 4944 KB Output is correct
88 Correct 563 ms 22508 KB Output is correct
89 Correct 1134 ms 16892 KB Output is correct
90 Correct 868 ms 16484 KB Output is correct
91 Correct 1004 ms 24188 KB Output is correct
92 Correct 872 ms 24176 KB Output is correct
93 Correct 1105 ms 24188 KB Output is correct
94 Correct 971 ms 24176 KB Output is correct
95 Correct 915 ms 24184 KB Output is correct
96 Correct 812 ms 15936 KB Output is correct
97 Correct 907 ms 15892 KB Output is correct
98 Correct 859 ms 21448 KB Output is correct
99 Correct 1112 ms 24076 KB Output is correct
100 Correct 1053 ms 19712 KB Output is correct
101 Correct 978 ms 18032 KB Output is correct
102 Correct 822 ms 15980 KB Output is correct
103 Correct 1047 ms 31868 KB Output is correct
104 Correct 1149 ms 32460 KB Output is correct
105 Correct 1372 ms 32324 KB Output is correct
106 Correct 889 ms 18040 KB Output is correct
107 Correct 920 ms 16840 KB Output is correct
108 Correct 1029 ms 16812 KB Output is correct
109 Correct 955 ms 15944 KB Output is correct