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Submission #826268

# Submission time Handle Problem Language Result Execution time Memory
826268 2023-08-15T11:48:01 Z alvingogo Digital Circuit (IOI22_circuit) C++17
50 / 100
 904 ms 26824 KB 
#include "circuit.h"
#include <bits/stdc++.h>
#define fs first
#define sc second
using namespace std;

const int mod=1000002022;
void add(int& x,int y){
    x+=y;
    x-=mod*(x>=mod);
}
int mul(int x,int y){
    return 1ll*x*y%mod;
}
int po(int x,int y){
    int z=1;
    while(y){
        if(y&1){
            z=mul(z,x);
        }
        x=mul(x,x);
        y>>=1;
    }
    return z;
}
int inv(int x){
    return po(x,222*2242156);
}
vector<int> g,a;
struct ST{
    struct no{
        int sum=0,ans=0,tag=0;
    };
    vector<no> st;
    void init(int x){
        st.resize(4*x);
    }
    void upd(int v){
        st[v].ans=(st[v].sum-st[v].ans+mod)%mod;
        st[v].tag^=1;
    }
    void pudo(int v){
        if(st[v].tag){
            upd(2*v+1);
            upd(2*v+2);
            st[v].tag=0;
        }
    }
    void pull(int v){
        st[v].ans=(st[2*v+1].ans+st[2*v+2].ans)%mod;
    }
    void build(int v,int L,int R){
        if(L==R){
            st[v].sum=g[L];
            st[v].ans=st[v].sum*a[L];
            return;
        }
        int m=(L+R)/2;
        build(2*v+1,L,m);
        build(2*v+2,m+1,R);
        pull(v);
        st[v].sum=(st[2*v+1].sum+st[2*v+2].sum)%mod;
    }
    void toggle(int v,int L,int R,int l,int r){
        if(L==l && r==R){
            upd(v);
            return;
        }
        pudo(v);
        int m=(L+R)/2;
        if(r<=m){
            toggle(2*v+1,L,m,l,r);
        }
        else if(l>m){
            toggle(2*v+2,m+1,R,l,r);
        }
        else{
            toggle(2*v+1,L,m,l,m);
            toggle(2*v+2,m+1,R,m+1,r);
        }
        pull(v);
    }
    int query(){
        return st[0].ans; 
    }
}st;

const int x[2]={2,223};
int cnt[2]={0};
int pe=1;
int n,m;
struct tn{
    vector<int> ch;
    int deg=0;
    int cs[2]={0};
    int dx=1;
};
vector<tn> v;
void dfs(int r,int a,int b,int c){
    if(r>=n){
        int z=mul(pe,inv(c));
        z=mul(z,po(2,cnt[0]-a));
        z=mul(z,po(223,cnt[1]-b));
        g[r-n]=z;
        return;
    }
    for(auto h:v[r].ch){
        dfs(h,a+v[r].cs[0],b+v[r].cs[1],mul(c,v[r].dx));
    }
}
void init(int N, int M, vector<int> p, vector<int> A) {
    n=N;
    m=M;
    a=A;
    st.init(m);
    g.resize(m);
    v.resize(n+m);
    for(int i=1;i<n+m;i++){
        v[p[i]].ch.push_back(i);
        v[p[i]].deg++;
    }
    for(int i=0;i<n;i++){
        int s=v[i].deg;
        while(s%2==0){
            s/=2;
            v[i].cs[0]++;
            cnt[0]++;
        }
        while(s%223==0){
            s/=223;
            v[i].cs[1]++;
            cnt[1]++;
        }
        v[i].dx=s;
        pe=mul(pe,s);
    }
    dfs(0,0,0,1);
    st.build(0,0,m-1);
}

int count_ways(int L, int R) {
    st.toggle(0,0,m-1,L-n,R-n);
    return st.query();
}

Subtask #1
0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Incorrect 1 ms 336 KB 1st lines differ - on the 1st token, expected: '509', found: '123687'
4 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 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 336 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 464 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Incorrect 1 ms 336 KB 1st lines differ - on the 1st token, expected: '509', found: '123687'
4 Halted 0 ms 0 KB -

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 516 ms 6480 KB Output is correct
2 Correct 797 ms 12684 KB Output is correct
3 Correct 695 ms 12632 KB Output is correct
4 Correct 779 ms 12620 KB Output is correct

Subtask #5
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 516 ms 6480 KB Output is correct
2 Correct 797 ms 12684 KB Output is correct
3 Correct 695 ms 12632 KB Output is correct
4 Correct 779 ms 12620 KB Output is correct
5 Correct 633 ms 6468 KB Output is correct
6 Correct 749 ms 12568 KB Output is correct
7 Correct 696 ms 12616 KB Output is correct
8 Correct 811 ms 12592 KB Output is correct
9 Correct 277 ms 592 KB Output is correct
10 Correct 684 ms 1056 KB Output is correct
11 Correct 661 ms 1056 KB Output is correct
12 Correct 429 ms 1060 KB Output is correct

Subtask #6
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 1 ms 336 KB Output is correct
3 Correct 1 ms 336 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 336 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 464 KB Output is correct
10 Correct 1 ms 464 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 516 ms 6480 KB Output is correct
14 Correct 797 ms 12684 KB Output is correct
15 Correct 695 ms 12632 KB Output is correct
16 Correct 779 ms 12620 KB Output is correct
17 Correct 633 ms 6468 KB Output is correct
18 Correct 749 ms 12568 KB Output is correct
19 Correct 696 ms 12616 KB Output is correct
20 Correct 811 ms 12592 KB Output is correct
21 Correct 277 ms 592 KB Output is correct
22 Correct 684 ms 1056 KB Output is correct
23 Correct 661 ms 1056 KB Output is correct
24 Correct 429 ms 1060 KB Output is correct
25 Correct 670 ms 18728 KB Output is correct
26 Correct 777 ms 19028 KB Output is correct
27 Correct 904 ms 18992 KB Output is correct
28 Correct 595 ms 19008 KB Output is correct
29 Correct 824 ms 26824 KB Output is correct
30 Correct 730 ms 26824 KB Output is correct

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Incorrect 1 ms 336 KB 1st lines differ - on the 1st token, expected: '509', found: '123687'
4 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 208 KB Output is correct
2 Correct 0 ms 208 KB Output is correct
3 Incorrect 1 ms 336 KB 1st lines differ - on the 1st token, expected: '509', found: '123687'
4 Halted 0 ms 0 KB -