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Submission #610286

# Submission time Handle Problem Language Result Execution time Memory
610286 2022-07-28T06:23:52 Z Arnch Fancy Fence (CEOI20_fancyfence) C++17
100 / 100
 41 ms 5192 KB 
// oooo
/*
 har chi delet mikhad bebar ~
 gitar o ba khodet nabar! ~
 ;Amoo_Hasan;
*/

#include<bits/stdc++.h>
//#pragma GCC optimize("O3,no-stack-protector,unroll-loops")
//#pragma GCC target("avx2,fma")

using namespace std;

typedef long long ll;
typedef long double ld;

#define Sz(x) int((x).size())
#define All(x) (x).begin(), (x).end()
#define wtf(x) cout<<#x <<" : " <<x <<endl

constexpr ll inf = 1e18, N = 1e5 + 10, mod = 1e9 + 7, pr = 1000696969;

int w[N], h[N];
int l[N], r[N];
ll ps[N], bpow;

ll poww(ll x, int y) {
	ll res = 1;
	for(; y; y /= 2, x = x * x % mod)
		if(y & 1) {
			res *= x;
			res %= mod;
		}
	return res;
}

ll choose(ll x) {
	ll ans = (x * (x - 1)) % mod;
	ans *= bpow;
	ans %= mod;
	return ans;
}

int main() {
    ios :: sync_with_stdio(0), cin.tie(0);

	bpow = poww(2, mod - 2);
	
	int n; cin >>n;
	for(int i = 0; i < n; i++) cin >>h[i];
	for(int i = 0; i < n; i++) cin >>w[i];

	vector<int> vc;
	for(int i = 0; i < n; i++) {
		while(!vc.empty() && h[vc.back()] >= h[i]) vc.pop_back();
		if(vc.empty()) l[i] = 0;
		else l[i] = vc.back() + 1;
		vc.push_back(i);
	}
	vc.clear();

	for(int i = n - 1; i >= 0; i--) {
		while(!vc.empty() && h[vc.back()] > h[i]) vc.pop_back();
		if(vc.empty()) r[i] = n - 1;
		else r[i] = vc.back() - 1;
		vc.push_back(i);
	}
	for(int i = 0; i < n; i++) {
		ps[i] = w[i];
		if(i > 0) ps[i] += ps[i - 1];

		ps[i] %= mod;
	}

	ll ans = 0;
	for(int i = 0; i < n; i++) {
		int mx = 0;
		if(l[i] > 0) mx = max(mx, h[l[i] - 1] + 1);
		if(r[i] < n - 1) mx = max(mx, h[r[i] + 1] + 1);

		ll cnt = (choose(h[i] + 1) - choose(mx) + mod) % mod;
			
		ll num = ps[r[i]];
		if(l[i] > 0) num -= ps[l[i] - 1];
		if(num < 0) num += mod;
		num = choose(num + 1);

		cnt *= num, cnt %= mod;

		ans += cnt, ans %= mod;
	}
	
	cout<<ans;

    return 0;
}

Subtask #1
0.0 / 0.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 340 KB Output is correct
3 Correct 0 ms 340 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct

Subtask #3
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 17 ms 2320 KB Output is correct
4 Correct 22 ms 4228 KB Output is correct
5 Correct 23 ms 4048 KB Output is correct
6 Correct 21 ms 3816 KB Output is correct

Subtask #4
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 4 ms 596 KB Output is correct
3 Correct 21 ms 1840 KB Output is correct
4 Correct 25 ms 3200 KB Output is correct
5 Correct 41 ms 3124 KB Output is correct
6 Correct 0 ms 340 KB Output is correct

Subtask #5
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 4 ms 596 KB Output is correct
4 Correct 15 ms 1752 KB Output is correct
5 Correct 29 ms 3088 KB Output is correct
6 Correct 34 ms 3164 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 4 ms 596 KB Output is correct
9 Correct 21 ms 1748 KB Output is correct
10 Correct 41 ms 4948 KB Output is correct
11 Correct 27 ms 5012 KB Output is correct
12 Correct 1 ms 332 KB Output is correct

Subtask #6
18.0 / 18.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 0 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 324 KB Output is correct

Subtask #7
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 328 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 328 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 340 KB Output is correct
9 Correct 1 ms 340 KB Output is correct
10 Correct 1 ms 336 KB Output is correct
11 Correct 16 ms 2316 KB Output is correct
12 Correct 23 ms 4264 KB Output is correct
13 Correct 20 ms 4040 KB Output is correct
14 Correct 22 ms 3924 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 5 ms 828 KB Output is correct
17 Correct 14 ms 2696 KB Output is correct
18 Correct 34 ms 5024 KB Output is correct
19 Correct 39 ms 5192 KB Output is correct
20 Correct 1 ms 340 KB Output is correct
21 Correct 4 ms 832 KB Output is correct
22 Correct 18 ms 2652 KB Output is correct
23 Correct 30 ms 4932 KB Output is correct
24 Correct 38 ms 5032 KB Output is correct
25 Correct 1 ms 340 KB Output is correct
26 Correct 1 ms 260 KB Output is correct
27 Correct 1 ms 340 KB Output is correct
28 Correct 1 ms 340 KB Output is correct
29 Correct 2 ms 336 KB Output is correct
30 Correct 4 ms 724 KB Output is correct
31 Correct 4 ms 724 KB Output is correct
32 Correct 18 ms 2384 KB Output is correct
33 Correct 14 ms 2388 KB Output is correct
34 Correct 27 ms 4388 KB Output is correct
35 Correct 24 ms 4376 KB Output is correct
36 Correct 26 ms 4548 KB Output is correct
37 Correct 28 ms 4512 KB Output is correct
38 Correct 1 ms 340 KB Output is correct
39 Correct 26 ms 4556 KB Output is correct
40 Correct 27 ms 4604 KB Output is correct
41 Correct 26 ms 4684 KB Output is correct
42 Correct 26 ms 4912 KB Output is correct