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Submission #960029

# Submission time Handle Problem Language Result Execution time Memory
960029 2024-04-09T14:12:29 Z Huseyn123 Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 87 ms 9220 KB 
#include <bits/stdc++.h> 
#define MAX 100001
#define MOD 1000000007
using namespace std; 
typedef long long ll;
ll n,x,y,z,w[MAX],h[MAX],a[MAX];
struct DSU{
	vector<int> e;
	DSU(int N){e.resize(N+1,-1);}
	int get(int x){return (e[x]<0) ? x : e[x]=get(e[x]);}
	int size(int x){return w[get(x)];}
	bool unite(int x,int y){
		x=get(x);
		y=get(y);
		if(x==y) return false; 
		if(e[x]>e[y]) swap(x,y);
		e[x]+=e[y]; w[x]+=w[y]; w[x]%=MOD; e[y]=x;
		return true;
	}
};
ll powmod(ll x,ll y,ll mod){
	if(y==0){
		return 1;
	}
	ll res=1;
	x%=mod;
	while(y>0){
		if(y%2){
			res*=x;
			res%=mod;
		}
		y/=2;
		x*=x;
		x%=mod;
	}
	return res;
}
ll inv(ll n,ll mod){
	return powmod(n,mod-2,mod);
}
ll mul(ll x,ll y){
	return (x*y)%MOD;
}
ll f(ll W,ll H){
	ll res=1;
	res=mul(res,W);
	res=mul(res,W+1);
	res=mul(res,H);
	res=mul(res,H+1);
	res=mul(res,z);
	return res;
}
void solve(){
	cin >> n; 
	z=inv(4,MOD);
	for(int i=0;i<n;i++){
		cin >> h[i];
	}
	for(int i=0;i<n;i++){
		cin >> w[i];
	}
	vector<array<ll,3>> c;
	for(int i=0;i<n;i++){
		c.push_back({h[i],w[i],(ll)i});
	}
	sort(c.rbegin(),c.rend());
	ll res=0;
	DSU dsu(n);
	for(auto x:c){
		ll cnt=x[1];
		a[x[2]]=1;
		if(x[2]-1>=0 && a[x[2]-1]){
			y=dsu.size(x[2]-1);
			res-=f(y,x[0]);
			res=(res+MOD)%MOD;
			cnt+=y;
			cnt%=MOD;
			dsu.unite(x[2],x[2]-1);
		}
		if(x[2]+1<n && a[x[2]+1]){
			y=dsu.size(x[2]+1);
			res-=f(y,x[0]);
			res=(res+MOD)%MOD;
			cnt+=y;
			cnt%=MOD;
			dsu.unite(x[2],x[2]+1);
		}
		res+=f(cnt,x[0]);
		res%=MOD;
	}
	cout << res << "\n";
}
int main(){
	//freopen("input1.txt","r",stdin);
	solve();
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2488 KB Output is correct
2 Correct 2 ms 2392 KB Output is correct
3 Correct 1 ms 2484 KB Output is correct
4 Correct 1 ms 2392 KB Output is correct
5 Correct 1 ms 2652 KB Output is correct

Subtask #3
13.0 / 13.0

# 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 28 ms 4644 KB Output is correct
4 Correct 56 ms 6924 KB Output is correct
5 Correct 58 ms 8388 KB Output is correct
6 Correct 57 ms 6800 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 8 ms 3100 KB Output is correct
3 Correct 42 ms 5096 KB Output is correct
4 Correct 76 ms 9220 KB Output is correct
5 Correct 76 ms 7832 KB Output is correct
6 Correct 0 ms 2392 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 1 ms 2512 KB Output is correct
3 Correct 9 ms 3116 KB Output is correct
4 Correct 38 ms 5072 KB Output is correct
5 Correct 76 ms 7624 KB Output is correct
6 Correct 76 ms 7624 KB Output is correct
7 Correct 1 ms 2396 KB Output is correct
8 Correct 7 ms 3100 KB Output is correct
9 Correct 36 ms 5076 KB Output is correct
10 Correct 61 ms 7624 KB Output is correct
11 Correct 62 ms 8648 KB Output is correct
12 Correct 1 ms 2396 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 2 ms 2396 KB Output is correct
3 Correct 1 ms 2396 KB Output is correct
4 Correct 1 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 2492 KB Output is correct
8 Correct 1 ms 2392 KB Output is correct
9 Correct 2 ms 2392 KB Output is correct
10 Correct 2 ms 2396 KB Output is correct
11 Correct 1 ms 2396 KB Output is correct
12 Correct 2 ms 2500 KB Output is correct
13 Correct 1 ms 2392 KB Output is correct
14 Correct 1 ms 2396 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 1 ms 2396 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2392 KB Output is correct
2 Correct 1 ms 2392 KB Output is correct
3 Correct 1 ms 2392 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct
5 Correct 1 ms 2488 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 28 ms 4564 KB Output is correct
12 Correct 56 ms 8388 KB Output is correct
13 Correct 57 ms 8136 KB Output is correct
14 Correct 56 ms 7876 KB Output is correct
15 Correct 1 ms 2396 KB Output is correct
16 Correct 8 ms 3136 KB Output is correct
17 Correct 36 ms 5120 KB Output is correct
18 Correct 75 ms 7624 KB Output is correct
19 Correct 76 ms 8904 KB Output is correct
20 Correct 1 ms 2396 KB Output is correct
21 Correct 7 ms 3116 KB Output is correct
22 Correct 36 ms 5316 KB Output is correct
23 Correct 61 ms 8904 KB Output is correct
24 Correct 63 ms 8132 KB Output is correct
25 Correct 1 ms 2392 KB Output is correct
26 Correct 2 ms 2392 KB Output is correct
27 Correct 1 ms 2512 KB Output is correct
28 Correct 1 ms 2392 KB Output is correct
29 Correct 1 ms 2396 KB Output is correct
30 Correct 8 ms 3140 KB Output is correct
31 Correct 7 ms 3100 KB Output is correct
32 Correct 36 ms 4812 KB Output is correct
33 Correct 36 ms 5076 KB Output is correct
34 Correct 69 ms 7316 KB Output is correct
35 Correct 69 ms 8136 KB Output is correct
36 Correct 74 ms 8476 KB Output is correct
37 Correct 73 ms 8972 KB Output is correct
38 Correct 1 ms 2392 KB Output is correct
39 Correct 81 ms 8712 KB Output is correct
40 Correct 87 ms 8840 KB Output is correct
41 Correct 73 ms 8476 KB Output is correct
42 Correct 69 ms 7700 KB Output is correct