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Submission #1011068

# Submission time Handle Problem Language Result Execution time Memory
1011068 2024-06-29T18:22:24 Z YassirSalama Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 126 ms 12292 KB 
#include<bits/stdc++.h>
using namespace std;
#define int long long
#define all(v) v.begin(),v.end()
#define pb push_back
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx,avx2,bmi,bmi2,popcnt,lzcnt")
const int mod=1e9+7;
int f(int a){
    a%=mod;
    return ((a%mod*(a+1)%mod)%mod*500000004%mod)%mod;
}
const int mxn=1e5+100;
int sz[mxn];
int W[mxn];
int p[mxn];
int find(int node){
    return node==p[node]?node:p[node]=find(p[node]);
}
void merge(int a,int b){
    a=find(a);
    b=find(b);
    if(a==b) return;
    if(sz[a]<sz[b]) swap(a,b);
    sz[a]+=sz[b];
    p[b]=a;
    W[a]=(W[a]%mod+W[b]%mod)%mod;
}
signed main(){
    int n;
    cin>>n;
    vector<int> h(n+1);
    vector<int> w(n+1);
    for(int i=0;i<n;i++){
        cin>>h[i];
    }
    for(int i=0;i<n;i++){
        cin>>w[i];
    }
    int ans=0;
    for(int i=0;i<n;i++){
        ans=(ans%mod+f(h[i])%mod*f(w[i])%mod)%mod;
    }
    ans%=mod;
    vector<vector<int>> v;
    for(int i=0;i+1<n;i++){
        v.pb({i,i+1,min(h[i],h[i+1])});
    }
    sort(all(v),[&](auto a,auto b){
        return a[2]>b[2];
    });
    for(int i=0;i<n;i++){
        sz[i]=1;
        p[i]=i;
        W[i]+=w[i];
    }
    for(auto x:v){
        int a=W[find(x[0])];
        int b=W[find(x[1])];
        a+=mod;
        b+=mod;
        a%=mod;
        b%=mod;
        merge(x[0],x[1]);
        ans=(ans%mod+a%mod*b%mod*f(x[2])%mod)%mod;
    }
    cout<<ans<<endl;
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 0 ms 2488 KB Output is correct
5 Correct 1 ms 2392 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 42 ms 6608 KB Output is correct
4 Correct 81 ms 11004 KB Output is correct
5 Correct 85 ms 11056 KB Output is correct
6 Correct 86 ms 10956 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 10 ms 3480 KB Output is correct
3 Correct 47 ms 7000 KB Output is correct
4 Correct 105 ms 12200 KB Output is correct
5 Correct 99 ms 11776 KB Output is correct
6 Correct 1 ms 2392 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 9 ms 3396 KB Output is correct
4 Correct 50 ms 6980 KB Output is correct
5 Correct 93 ms 11772 KB Output is correct
6 Correct 100 ms 11776 KB Output is correct
7 Correct 1 ms 2392 KB Output is correct
8 Correct 9 ms 3332 KB Output is correct
9 Correct 49 ms 7040 KB Output is correct
10 Correct 93 ms 11512 KB Output is correct
11 Correct 97 ms 11876 KB Output is correct
12 Correct 0 ms 2396 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 0 ms 2396 KB Output is correct
5 Correct 1 ms 2396 KB Output is correct
6 Correct 1 ms 2396 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 1 ms 2396 KB Output is correct
9 Correct 1 ms 2396 KB Output is correct
10 Correct 2 ms 2392 KB Output is correct
11 Correct 0 ms 2396 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct
13 Correct 1 ms 2396 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 0 ms 2396 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 2 ms 2520 KB Output is correct
5 Correct 0 ms 2396 KB Output is correct
6 Correct 0 ms 2396 KB Output is correct
7 Correct 0 ms 2396 KB Output is correct
8 Correct 0 ms 2396 KB Output is correct
9 Correct 0 ms 2396 KB Output is correct
10 Correct 1 ms 2396 KB Output is correct
11 Correct 40 ms 6684 KB Output is correct
12 Correct 75 ms 10756 KB Output is correct
13 Correct 103 ms 10952 KB Output is correct
14 Correct 77 ms 11016 KB Output is correct
15 Correct 1 ms 2588 KB Output is correct
16 Correct 9 ms 3480 KB Output is correct
17 Correct 47 ms 6920 KB Output is correct
18 Correct 93 ms 11780 KB Output is correct
19 Correct 95 ms 11908 KB Output is correct
20 Correct 2 ms 2392 KB Output is correct
21 Correct 9 ms 3480 KB Output is correct
22 Correct 51 ms 7176 KB Output is correct
23 Correct 105 ms 11764 KB Output is correct
24 Correct 92 ms 11764 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 1 ms 2396 KB Output is correct
27 Correct 1 ms 2396 KB Output is correct
28 Correct 3 ms 2396 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 12 ms 3480 KB Output is correct
31 Correct 12 ms 3476 KB Output is correct
32 Correct 49 ms 6920 KB Output is correct
33 Correct 65 ms 6920 KB Output is correct
34 Correct 116 ms 11376 KB Output is correct
35 Correct 96 ms 12036 KB Output is correct
36 Correct 124 ms 12188 KB Output is correct
37 Correct 116 ms 11780 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 122 ms 11544 KB Output is correct
40 Correct 126 ms 12292 KB Output is correct
41 Correct 122 ms 11768 KB Output is correct
42 Correct 105 ms 11776 KB Output is correct